Repository: QISKit/qiskit-tutorial Branch: master Commit: 2fc7ed53fcc7 Files: 45 Total size: 6.6 MB Directory structure: gitextract_bmptrtaj/ ├── .github/ │ ├── CODE_OF_CONDUCT.md │ ├── CONTRIBUTING.md │ ├── ISSUE_TEMPLATE/ │ │ ├── bug-report.yml │ │ ├── documentation.yml │ │ └── feature-request.yml │ └── PULL_REQUEST_TEMPLATE.md ├── .gitignore ├── .mergify.yml ├── CODE_OF_CONDUCT.md ├── CONTRIBUTING.md ├── INSTALL.md ├── LICENSE ├── README.md ├── azure-pipelines.yml ├── conf.py ├── constraints.txt ├── index.rst ├── requirements-dev.txt ├── start_here.ipynb ├── tox.ini └── tutorials/ ├── algorithms/ │ ├── 01_algorithms_introduction.ipynb │ ├── 02_vqe_advanced_options.ipynb │ ├── 03_vqe_simulation_with_noise.ipynb │ ├── 04_vqd.ipynb │ ├── 05_qaoa.ipynb │ ├── 06_grover.ipynb │ ├── 07_grover_examples.ipynb │ ├── 09_IQPE.ipynb │ ├── 10_pvqd.ipynb │ ├── 11_VarQTE.ipynb │ └── 12_gradients_framework.ipynb ├── circuits/ │ ├── 01_circuit_basics.ipynb │ ├── 1_getting_started_with_qiskit.ipynb │ ├── 2_plotting_data_in_qiskit.ipynb │ └── 3_summary_of_quantum_operations.ipynb ├── circuits_advanced/ │ ├── 01_advanced_circuits.ipynb │ ├── 02_operators_overview.ipynb │ ├── 03_advanced_circuit_visualization.ipynb │ ├── 04_transpiler_passes_and_passmanager.ipynb │ ├── 05_pulse_gates.ipynb │ ├── 06_building_pulse_schedules.ipynb │ ├── 07_pulse_scheduler.ipynb │ └── 08_gathering_system_information.ipynb └── operators/ ├── 01_operator_flow.ipynb └── 02_gradients_framework.ipynb ================================================ FILE CONTENTS ================================================ ================================================ FILE: .github/CODE_OF_CONDUCT.md ================================================ # Contributor Covenant Code of Conduct ## Our Pledge In the interest of fostering an open and welcoming environment, we as contributors and maintainers pledge to making participation in our project and our community a harassment-free experience for everyone, regardless of age, body size, disability, ethnicity, gender identity and expression, level of experience, nationality, personal appearance, race, religion, or sexual identity and orientation. ## Our Standards Examples of behavior that contributes to creating a positive environment include: * Using welcoming and inclusive language * Being respectful of differing viewpoints and experiences * Gracefully accepting constructive criticism * Focusing on what is best for the community * Showing empathy towards other community members Examples of unacceptable behavior by participants include: * The use of sexualized language or imagery and unwelcome sexual attention or advances * Trolling, insulting/derogatory comments, and personal or political attacks * Public or private harassment * Publishing others' private information, such as a physical or electronic address, without explicit permission * Other conduct which could reasonably be considered inappropriate in a professional setting ## Our Responsibilities Project maintainers are responsible for clarifying the standards of acceptable behavior and are expected to take appropriate and fair corrective action in response to any instances of unacceptable behavior. Project maintainers have the right and responsibility to remove, edit, or reject comments, commits, code, wiki edits, issues, and other contributions that are not aligned to this Code of Conduct, or to ban temporarily or permanently any contributor for other behaviors that they deem inappropriate, threatening, offensive, or harmful. ## Scope This Code of Conduct applies both within project spaces and in public spaces when an individual is representing the project or its community. Examples of representing a project or community include using an official project e-mail address, posting via an official social media account, or acting as an appointed representative at an online or offline event. Representation of a project may be further defined and clarified by project maintainers. ## Enforcement Instances of abusive, harassing, or otherwise unacceptable behavior may be reported by contacting the project team at qiskit@qiskit.org. The project team will review and investigate all complaints, and will respond in a way that it deems appropriate to the circumstances. The project team is obligated to maintain confidentiality with regard to the reporter of an incident. Further details of specific enforcement policies may be posted separately. Project maintainers who do not follow or enforce the Code of Conduct in good faith may face temporary or permanent repercussions as determined by other members of the project's leadership. ## Attribution This Code of Conduct is adapted from the [Contributor Covenant][homepage], version 1.4, available at [http://contributor-covenant.org/version/1/4][version] [homepage]: http://contributor-covenant.org [version]: http://contributor-covenant.org/version/1/4/ ================================================ FILE: .github/CONTRIBUTING.md ================================================ # Contributing If you would like to contribute to the Qiskit IQX tutorials, there are a number of ways to get involved: * **Issues**: Issues can be reported with GitHub [issue reporting](https://github.com/Qiskit/qiskit-tutorial/issues) for this repository. Select `New issue`, fill in a descriptive title, and provide as much detail as is needed for the issue to be reproduced. * **Notebooks**: If you would like to contribute a notebook, please create a [fork](https://help.github.com/articles/fork-a-repo/) of the repository from the `master` branch and create a [pull request](https://help.github.com/articles/about-pull-requests) for your change. ## Contributor License Agreement We'd love to accept your code! Before we can, we have to get a few legal requirements sorted out. By having you sign a Contributor License Agreement (CLA), we ensure that the community is free to use your contributions. When you contribute to the Qiskit project with a new pull request, a bot will evaluate whether you have signed the CLA. If required, the bot will comment on the pull request, including a link to accept the agreement. The [individual CLA](https://qiskit.org/license/qiskit-cla.pdf) document is available for review as a PDF. If you work for a company that wants to allow you to contribute your work, then you'll need to sign a [corporate CLA](https://qiskit.org/license/qiskit-corporate-cla.pdf) and email it to us at qiskit@qiskit.org. ================================================ FILE: .github/ISSUE_TEMPLATE/bug-report.yml ================================================ name: 🐛Bug Report description: Create a report to help us improve 🤔. labels: ["bug"] body: - type: markdown attributes: value: | ⚠️ If you do not respect this template, your issue will be closed ⚠️ Make sure to browse the opened and closed issues before submitting your issue - type: textarea id: what-happened attributes: label: What is the current behavior? description: Please describe the current behavior. validations: required: true - type: textarea attributes: label: Information description: | examples: - **Qiskit version**: 0.36.2 - **Python version**: 3.10.10 - **Operating system**: Ubuntu 20.04 value: | - Qiskit version: - Python version: - Operating System: render: Markdown validations: required: true - type: textarea id: reproduce attributes: label: Steps to reproduce the problem description: Please provide the steps to reproduce the problem. validations: required: true - type: textarea id: exptected attributes: label: What is the expected behavior? description: Please describe the expected behavior. validations: required: false - type: textarea id: solutions attributes: label: Suggested solutions description: Please provide any suggested solutions, if possible. validations: required: false - type: checkboxes id: terms attributes: label: Code of Conduct description: By submitting this issue, you agree to follow our [Code of Conduct](https://github.com/Qiskit/qiskit-tutorials/blob/master/.github/CODE_OF_CONDUCT.md) options: - label: I agree to follow this project's Code of Conduct required: true ================================================ FILE: .github/ISSUE_TEMPLATE/documentation.yml ================================================ name: 📚 Documentation description: Create a report to help us improve our documentation 📖. labels: ["documentation"] body: - type: textarea id: documentation attributes: label: Documentation Issue or Improvement description: Please describe the issue or improvement related to the documentation. validations: required: true - type: checkboxes id: terms attributes: label: Code of Conduct description: By submitting this issue, you agree to follow our [Code of Conduct](https://github.com/Qiskit/qiskit-tutorials/blob/master/.github/CODE_OF_CONDUCT.md) options: - label: I agree to follow this project's Code of Conduct required: true ================================================ FILE: .github/ISSUE_TEMPLATE/feature-request.yml ================================================ name: 🚀Feature request description: Suggest an idea for this project🌟. labels: ["enhancement"] body: - type: markdown attributes: value: | ⚠️ If you do not respect this template, your issue will be closed ⚠️ Make sure to browse the opened and closed issues before submitting your issue - type: textarea id: enhancement attributes: label: Describe the feature or improvement description: Please describe the new feature or improvement you would like to see. validations: required: true - type: checkboxes id: terms attributes: label: Code of Conduct description: By submitting this issue, you agree to follow our [Code of Conduct](https://github.com/Qiskit/qiskit-tutorials/blob/master/.github/CODE_OF_CONDUCT.md) options: - label: I agree to follow this project's Code of Conduct required: true ================================================ FILE: .github/PULL_REQUEST_TEMPLATE.md ================================================ ### Summary ### Details and comments ================================================ FILE: .gitignore ================================================ __pycache__/ .cache/ # ignores any checkpoints folder anywhere .ipynb_checkpoints/ # editor files .vscode/ .idea/ # Distribution / packaging *.egg-info/ # Spyder project settings .spyderproject .spyproject .DS_Store .stestr/ _build/ .tox/ ================================================ FILE: .mergify.yml ================================================ queue_rules: - name: automerge conditions: - check-success=Qiskit.qiskit-tutorials pull_request_rules: - name: automatic merge on CI success and review conditions: - base=master - "#approved-reviews-by>=1" - label=automerge - label!=on hold - check-success=Qiskit.qiskit-tutorials actions: queue: name: automerge method: squash ================================================ FILE: CODE_OF_CONDUCT.md ================================================ # Code of Conduct All members of this project agree to adhere to the Qiskit Code of Conduct listed at [https://github.com/Qiskit/qiskit/blob/master/CODE_OF_CONDUCT.md](https://github.com/Qiskit/qiskit/blob/master/CODE_OF_CONDUCT.md) ---- License: [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/), Copyright Contributors to Qiskit. ================================================ FILE: CONTRIBUTING.md ================================================ # Contributing ## What makes a good tutorial? ## Adding a tutorial ## Setting gallery thumbnails To set the gallery thumbnail for a given tutorial (as seen in the image above) one needs to set a cell tag in the notebook for a cell that generates an image as its output. To make the tabs visible do: The cell's whos output you would like to use, you must add the tag: `nbsphinx-thumbnail`. If a tag is not set, then the Qiskit logo is used as a placeholder. ================================================ FILE: INSTALL.md ================================================ # Qiskit Tutorials ## Installation and setup ### Get the tutorials For the full experience, you can start by downloading the latest release of the tutorials from [here](https://github.com/Qiskit/qiskit-iqx-tutorials/releases). Unzip the archive in the directory of your choice (this is the recommended way). To properly view and run the tutorials, you will need to install [Jupyter Notebook](https://jupyter.readthedocs.io/en/latest/install.html). ### Install Qiskit At least [Python 3.7 or later](https://www.python.org/downloads/) is required to install and use Qiskit. If you have multiple Python versions installed (and particularly if the command `python --version` returns an incompatible version), you will need to ensure that your versions are [managed correctly](https://conda.io/projects/conda/en/latest/user-guide/getting-started.html#managing-python). This can be done using the `environment.yml` file, as detailed below. When there are no issues with dependencies, Qiskit can be installed using ``` pip install qiskit ``` Or, a pre-installed Qiskit can be updated using ``` pip install -U qiskit ``` However, in case of issues with dependencies, we recommend the following installation procedure: 1. **Install [conda](https://conda.io/docs/index.html)** 2. **Create conda environment for Qiskit and install packages** (with the accompanying `environment.yml` file) ``` cd qiskit-tutorials conda env create -f environment.yml ``` If you have already created `environment`, you can upgrade it by running ``` conda env update -f environment.yml ``` ## 3. Configure your IBM Q Provider - Create an [IBM Q](https://quantumexperience.ng.bluemix.net) account if you haven't already done so - Get an API token from the IBM Q website under “My Account" > "Qiskit in local environment" - We are now going to add the necessary credentials to Qiskit. Take your token, here called `MY_API_TOKEN`, and pass it to the `IBMQ.save_account()` function: ```python from qiskit import IBMQ IBMQ.save_account('MY_API_TOKEN') ``` - Your credentials will be stored on disk. Once they are stored, at any point in the future you can load and use them via: ```python from qiskit import IBMQ provider = IBMQ.load_account() ``` - For those who do not want to save their credentials to disk, please use ```python from qiskit import IBMQ provider = IBMQ.enable_account('MY_API_TOKEN') ``` and the token will only be active for the session. ## 4. Explore the Tutorials **Activate the environment**
For MacOS and Linux, run: ``` source activate Qiskitenv ``` For Windows, run: ``` activate Qiskitenv ``` **Note for conda users**
Verify that you have installed the right Jupyter Kernel, because in the last conda version it's not installed by default. ``` python -m ipykernel install --user --name Qiskitenv --display-name "Python (Qiskitenv)" ``` **Start Jupyter with the index notebook**
``` jupyter notebook index.ipynb ``` ## 5. [Optional] Visualizing Circuits with LaTeX You can visualize your quantum circuits directly from Qiskit. Qiskit circuit drawers support text, LaTeX and matplotlib. The text and matplotlib version is entirely native to Python, and thus easy to use. The LaTeX version produces publication-quality circuit images, but relies on some pre-requisite software. These include the `pdflatex` compiler for rendering LaTeX documents, and the Poppler library for converting PDF to image. To get these: On Linux: - Install [MiKTeX](https://miktex.org/download#unx) - Install Poppler: - Run: `apt-get install -y poppler-utils` On MacOS: - Install [MiKTeX](https://miktex.org/download). - Install Poppler: - Run: `brew install poppler` On Windows: - Install [MiKTeX](https://miktex.org/download). - Install Poppler: - Download the [latest binary](http://blog.alivate.com.au/wp-content/uploads/2017/01/poppler-0.51_x86.7z). - Extract the downloaded `.7z` file into user directory: `c:\Users\\`. Note: You will need to have the [7zip software](https://www.7-zip.org/download.html) for this. - Add to PATH: - Right click on "This PC" -> Properties -> Advanced System Settings -> Environment Variables - Add `C:\Users\\poppler-0.51\bin` to the user's path. ================================================ FILE: LICENSE ================================================ Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. 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See the License for the specific language governing permissions and limitations under the License. ================================================ FILE: README.md ================================================ # Qiskit Tutorials [![License](https://img.shields.io/github/license/Qiskit/qiskit-tutorials.svg?style=popout-square)](https://opensource.org/licenses/Apache-2.0) > :warning: **This repository is archived**: The content in this repository [was moved to other locations](https://github.com/Qiskit/qiskit-tutorials/issues/1473). If you have issues or PR, please submit them to their new location. * `algorithms` folder -> [`qiskit-algorithms`](https://qiskit.org/ecosystem/algorithms/tutorials/index.html) ([GitHub](https://github.com/qiskit-community/qiskit-algorithms/tree/main/docs/tutorials)) * `circuits` folder -> [Qiskit](https://qiskit.org/documentation/tutorials.html) ([GitHub](https://github.com/Qiskit/qiskit/tree/main/docs/tutorials/circuits)) * `circuits_advanced` folder -> [Qiskit](https://qiskit.org/documentation/tutorials.html) ([GitHub](https://github.com/Qiskit/qiskit/tree/main/docs/tutorials/circuits_advanced)) * `opflow` folder -> [Qiskit](https://qiskit.org/documentation/tutorials.html) ([GitHub](https://github.com/Qiskit/qiskit/tree/main/docs/tutorials/opflow)) * `simulators` folder -> [`qiskit-aer`](https://qiskit.org/ecosystem/aer/tutorials/index.html) ([GitHub](https://github.com/qiskit/qiskit-aer/tree/main/docs/tutorials)) * `textbook` folder -> removed in favor of https://www.qiskit.org/learn ## Contents Welcome to the [Qiskit](https://www.qiskit.org/) Tutorials! In this repository, we've put together a collection of Jupyter notebooks aimed at teaching people who want to use Qiskit for writing quantum computing programs, and executing them on one of several backends (online quantum processors, online simulators, and local simulators). The online quantum processors are the [IBM Quantum](https://quantum-computing.ibm.com) systems. For our community-contributed tutorials, please check out the [qiskit-community-tutorials](https://github.com/Qiskit/qiskit-community-tutorials) repository. ## Contribution Guidelines If you'd like to contribute to Qiskit Tutorials, please take a look at our [contribution guidelines](.github/CONTRIBUTING.md). This project adheres to Qiskit's [code of conduct](.github/CODE_OF_CONDUCT.md). By participating you are expected to uphold this code. ### Tutorial limitations Because the tutorials are executed as part of the build process, and eventually turned into RST documentation, there are several limitations to be aware of: 1. There is currently a three minute per cell execution time limit. Cells that go over this limit will raise an exception. 2. Tutorials cannot make calls to the IBM Quantum Experience, e.g. no `IBMQ.load_account()`. 3. It is important to maintain strict header compliance. All notebooks should start with, and contain only one, top level (h1) header: ``` # I am a top level header ``` Additionally, the nesting of headers should make sense: ``` # I am a top level header ## I am a secondary header ### I am a tertiary header ## I am another secondary header ## I am another secondary header ``` 4. All math equations expressed using `$$ ... $$` need to be surrounded on top and bottom by white space. 5. In order for a tutorial to show up in the Qiskit documentation, after successful merging, an additional PR needs to be made in the [Qiskit meta-repo](https://github.com/Qiskit/qiskit) to trigger the rebuilding of the documentation. ### Adding a gallery image To add a gallery image to a notebook, select a cell with an output image and add `nbsphinx-thumbnail` as a cell tag. To see the cell tags go to: `View -> Cell Toolbar -> Tags` in the notebook menu. Adding gallery images from images not generated inside of the notebooks themselves should be avoided if possible as this gets messy in the present build system. ## Building documentation In addition to serving up standalone notebooks, this repository also includes the infrastructure needed to build the tutorials into HTML documentation using [Sphinx](https://www.sphinx-doc.org/). We use [Tox](https://tox.wiki/en/latest/), which you will need to install globally (e.g. using [`pipx`](https://pypa.github.io/pipx/)). 1. Fork and clone the forked repository. 2. `tox -e docs` Sometimes Sphinx's caching can get in a bad state. First, try running `tox -e docs-clean`, which will remove Sphinx's cache. If you are still having issues, try running `tox -e docs -r`. `-r` tells Tox to reinstall the dependencies. ## Authors and Citation Qiskit Tutorials is the work of [many people](https://github.com/Qiskit/qiskit-tutorials/graphs/contributors) who contribute to the project at different levels. If you use Qiskit, please cite as per the included [BibTeX file](https://github.com/Qiskit/qiskit-terra/blob/main/CITATION.bib). ## License [Apache License 2.0](LICENSE) ================================================ FILE: azure-pipelines.yml ================================================ trigger: branches: include: - master - stable/* pr: autoCancel: true branches: include: - '*' pool: vmImage: 'ubuntu-latest' strategy: matrix: Python39: python.version: '3.9' variables: PIP_CACHE_DIR: $(Pipeline.Workspace)/.pip steps: - task: UsePythonVersion@0 inputs: versionSpec: '$(python.version)' displayName: 'Use Python $(python.version)' - task: Cache@2 inputs: key: 'pip | "$(Agent.OS)" | "$(python.version)" | "$(Build.BuildNumber)"' restoreKeys: | pip | "$(Agent.OS)" | "$(python.version)" pip | "$(Agent.OS)" pip path: $(PIP_CACHE_DIR) displayName: Cache pip - bash: | set -e sudo apt-get install -y pandoc graphviz python -m pip install -U tox displayName: 'Install system dependencies and tox' - bash: tox -e docs displayName: 'Build Docs' - task: ArchiveFiles@2 inputs: rootFolderOrFile: '_build/html' archiveType: tar archiveFile: '$(Build.ArtifactStagingDirectory)/html_docs.tar.gz' verbose: true - task: PublishBuildArtifacts@1 displayName: 'Publish docs' inputs: pathtoPublish: '$(Build.ArtifactStagingDirectory)' artifactName: 'html_docs' Parallel: true ParallelCount: 8 ================================================ FILE: conf.py ================================================ # This code is part of Qiskit. # # (C) Copyright IBM 2018, 2023. # # This code is licensed under the Apache License, Version 2.0. You may # obtain a copy of this license in the LICENSE.txt file in the root directory # of this source tree or at http://www.apache.org/licenses/LICENSE-2.0. # # Any modifications or derivative works of this code must retain this # copyright notice, and modified files need to carry a notice indicating # that they have been altered from the originals. # Configuration file for the Sphinx documentation builder. # # This file does only contain a selection of the most common options. For a # full list see the documentation: # http://www.sphinx-doc.org/en/master/config # -- Project information ----------------------------------------------------- project = 'Qiskit Tutorials' copyright = '2020, Qiskit Development Team' # pylint: disable=redefined-builtin author = 'Qiskit Development Team' # The short X.Y version version = '' # The full version, including alpha/beta/rc tags release = '0.18.0' # -- General configuration --------------------------------------------------- extensions = [ 'sphinx.ext.mathjax', 'sphinx.ext.extlinks', 'nbsphinx', "qiskit_sphinx_theme", ] html_static_path = ['_static'] exclude_patterns = ['*.ipynb', '_build', 'legacy_tutorials', '**.ipynb_checkpoints', '.tox'] nbsphinx_timeout = 300 nbsphinx_execute = 'always' nbsphinx_widgets_path = "" html_sourcelink_suffix = "" nbsphinx_thumbnails = {"**": "_static/no_image.png"} nbsphinx_prolog = """ {% set docname = env.doc2path(env.docname, base=None) %} .. only:: html .. role:: raw-html(raw) :format: html .. note:: This page was generated from `{{ docname }}`__. Run interactively in the `IBM Quantum lab `_. __ https://github.com/Qiskit/qiskit-tutorials/blob/master/{{ docname }} """ # If true, figures, tables and code-blocks are automatically numbered if they # have a caption. numfig = True # A dictionary mapping 'figure', 'table', 'code-block' and 'section' to # strings that are used for format of figure numbers. As a special character, # %s will be replaced to figure number. numfig_format = { 'table': 'Table %s' } language = "en" # The name of the Pygments (syntax highlighting) style to use. pygments_style = 'colorful' # A boolean that decides whether module names are prepended to all object names # (for object types where a “module” of some kind is defined), e.g. for # py:function directives. add_module_names = False # -- Options for HTML output ------------------------------------------------- html_theme = 'qiskit_sphinx_theme' html_logo = 'images/logo.png' html_last_updated_fmt = '%Y/%m/%d' html_theme_options = { 'logo_only': False, 'display_version': True, 'prev_next_buttons_location': 'bottom', 'style_external_links': True, } autoclass_content = 'both' ================================================ FILE: constraints.txt ================================================ docplex==2.15.194 decorator==4.4.2 ================================================ FILE: index.rst ================================================ ================ Qiskit Tutorials ================ Quantum circuits ================ .. nbgallery:: :glob: tutorials/circuits/* Advanced circuits ================= .. nbgallery:: :glob: tutorials/circuits_advanced/* Algorithms ========== .. nbgallery:: :glob: tutorials/algorithms/* Operators ========= .. nbgallery:: :glob: tutorials/operators/* .. Hiding - Indices and tables :ref:`genindex` :ref:`modindex` :ref:`search` ================================================ FILE: requirements-dev.txt ================================================ qiskit>=0.38.0 jupyter sphinx nbsphinx qiskit_sphinx_theme networkx scikit-learn matplotlib qiskit[visualization] qiskit_aer cvxpy pyscf ================================================ FILE: start_here.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "![qiskit_header.png](images/qiskit_header.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Qiskit Tutorials\n", "\n", "Welcome Qiskitters.\n", "\n", "\n", "These tutorials aim to explain how to use Qiskit. We assume you have installed Qiskit; if not, please look at [qiskit.org](http://www.qiskit.org) or the install [documentation](https://qiskit.org/documentation/install.html). \n", "\n", "The focus of these notebooks is not on learning quantum computing. Instead we will focus on how to use Qiskit, and will go into details only when needed. For those interested in learning about quantum computing we recommend the [Qiskit Textbook](https://qiskit.org/textbook) that we and the community have put together, or the [Qiskit documentation](https://qiskit.org/documentation).\n", "\n", "\n", "## Circuits\n", "\n", "This section gives you the tools to make your first circuits, execute them, and view the data.\n", "\n", "1. [Circuit basics](tutorials/circuits/01_circuit_basics.ipynb) - How to use the Qiskit quantum circuit.\n", "\n", "\n", "2. [Plotting data in Qiskit](tutorials/circuits/2_plotting_data_in_qiskit.ipynb) - Illustrates the different ways of plotting data in Qiskit.\n", "\n", "\n", "3. [Summary of quantum operations](tutorials/circuits/3_summary_of_quantum_operations.ipynb) - List of quantum operations (gates, reset, measurements) in Qiskit Terra\n", " \n", " \n", "## Advanced Circuits\n", "\n", "1. [Advanced circuits](tutorials/circuits_advanced/01_advanced_circuits.ipynb) - Circuit building tools added including registerless declarations, composite gate updates and parameterized circuits.\n", "\n", "\n", "2. [Operators overview](tutorials/circuits_advanced/02_operators_overview.ipynb) - Gives a summary of the features and uses of the Operator class.\n", "\n", "\n", "3. [Advanced circuit visualization](tutorials/circuits_advanced/03_advanced_circuit_visualization.ipynb) - Details on drawing your quantum circuits.\n", "\n", "\n", "4. [Transpiler passes and passmanager](tutorials/circuits_advanced/04_transpiler_passes_and_passmanager.ipynb) - How to use the transpiler passes, passmanger, and extend the transpiler with a new pass.\n", "\n", "\n", "## Pulse\n", "\n", "1. [Building pulse schedules](tutorials/circuits_advanced/06_building_pulse_schedules.ipynb) - Building schedules of pulses.\n", "\n", "\n", "2. [Pulse Scheduler](tutorials/circuits_advanced/07_pulse_scheduler.ipynb) - Scheduling pulse.\n", "\n", "\n", "3. [Getting system information](tutorials/circuits_advanced/08_gathering_system_information.ipynb) - Obtaining system information.\n", "\n", "\n", "4. [Pulse simulation](tutorials/circuits_advanced/09_pulse_simulator_duffing_model.ipynb) - Simulate a Duffing oscillator using the pulse simulator.\n", "\n", "\n", "## High-Performance Simulators\n", "\n", "To really speed up development of quantum computers, we need better simulators with the ability to model realistic noise processes that occur during computation on actual devices. Qiskit provides a high-performance simulator framework called `Aer` for studying quantum computing algorithms and applications in the noisy intermediate-scale quantum regime. \n", "\n", "1. [Simulators](tutorials/simulators/1_aer_provider.ipynb) - Gives a summary of the Qiskit Aer provider containing the Qasm, statevector, and unitary simulator.\n", "\n", "\n", "2. [Device noise simulation](tutorials/simulators/2_device_noise_simulation.ipynb) - Shows how to use the Qiskit Aer noise module to automatically generate a basic noise model for simulating hardware backends.\n", "\n", "\n", "3. [Building noise models](tutorials/simulators/3_building_noise_models.ipynb) - Shows how to use Qiskit Aer noise module to construct custom noise models for noisy simulations\n", "\n", "\n", "4. [Custom gate noise](tutorials/simulators/4_custom_gate_noise.ipynb) - Shows to implement simulations using custom noisy gates.\n", "\n", "\n", "5. [Noise transformations](tutorials/simulators/5_noise_transformation.ipynb) - Noise approximation utility functions to construct approximate Clifford noise models out of a general noise model\n", "\n", "\n", "6. [Extended stabilizer tutorial](tutorials/simulators/6_extended_stabilizer_tutorial.ipynb) - Gives an overview of the *extended stabilizer* Qasm Simulator method\n", "\n", "\n", "7. [Matrix Product State simulator](tutorials/simulators/7_matrix_product_state_method.ipynb) - Gives an overview of the *matrix product state* Simulator method\n", "\n", "\n", "## Quantum Device Noise Analysis\n", "\n", "This includes better characterization of errors, improving gates, and computing in the presence of noise. Qiskit `ignis` is meant for those who want to design quantum error correction codes, or who wish to study ways to characterize errors through methods such as tomography and randomized benchmarking, or even to find a better way for using gates by exploring dynamical decoupling and optimal control.\n", "\n", "1. [Hamiltonian and gate characterizations](tutorials/noise/1_hamiltonian_and_gate_characterization.ipynb) - Sequences to measure ZZ rates between qubits and to measure rotation and angle errors in the gates.\n", "\n", "\n", "2. [Relaxation and decoherence](tutorials/noise/2_relaxation_and_decoherence.ipynb) - How to measure coherence times on the real quantum hardware\n", "\n", "\n", "3. [Measurement error mitigation](tutorials/noise/3_measurement_error_mitigation.ipynb) - How to peform calibration experiments for measurement errors and fed those calibrations into a \"filter\" that can be utilized to mitigate errors in subsequent experiments.\n", "\n", "\n", "4. [Randomized benchmarking](tutorials/noise/4_randomized_benchmarking.ipynb) - Randomized benchmarking (RB) is a technique used to measure the average gate error by measuring the outcomes of random Clifford circuits. This is used internally to report gate errors on our systems. \n", "\n", "\n", "5. [Quantum volume](tutorials/noise/5_quantum_volume.ipynb) - How to run quantum volume measurements on the quantum hardware.\n", "\n", "\n", "6. [Repetition Code](tutorials/noise/6_repetition_code.ipynb) - How to run a simple error correction code, known as the repetition code. This can be used to characterize bit flip errors in the hardware.\n", "\n", "\n", "7. [Accreditation](tutorials/noise/7_accreditation.ipynb) - protocol devised to characterize the reliability of noisy quantum devices." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-08-09T15:31:26.743124Z", "start_time": "2019-08-09T15:31:26.732618Z" } }, "outputs": [ { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2021.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_copyright" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_input": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.8" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tox.ini ================================================ [tox] minversion = 3.15 envlist = py310,py39,py38 [testenv] no_package = true install_command = pip install -c{toxinidir}/constraints.txt -U {opts} {packages} deps = -r{toxinidir}/requirements-dev.txt [testenv:docs] commands = sphinx-build -W --keep-going -j auto -b html {toxinidir} {toxinidir}/_build/html/ [testenv:docs-clean] deps = allowlist_externals = rm commands = rm -rf {toxinidir}/_build/ ================================================ FILE: tutorials/algorithms/01_algorithms_introduction.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# An Introduction to Algorithms in Qiskit\n", "\n", "This is an introduction to algorithms in Qiskit and provides a high-level overview to help understand the various aspects of the functionality to get started. Other tutorials will provide more in-depth material, on given algorithms, and ways to use them etc." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How is the algorithm library structured?\n", "\n", "Qiskit provides a number of [Algorithms](https://qiskit.org/documentation/apidoc/algorithms.html) and they are grouped by category according to the task they can perform. For instance [Minimum Eigensolvers](https://qiskit.org/documentation/stubs/qiskit.algorithms.minimum_eigensolvers.html#module-qiskit.algorithms.minimum_eigensolvers) to find the smallest eigen value of an operator, for example ground state energy of a chemistry Hamiltonian or a solution to an optimization problem when expressed as an Ising Hamiltonian. There are [Time Evolvers](https://qiskit.org/documentation/apidoc/algorithms.html#time-evolvers) for the time evolution of quantum systems and [Amplitude Estimators](https://qiskit.org/documentation/apidoc/algorithms.html#amplitude-estimators) for value estimation that can be used say in financial applications. The full set of categories can be seen in the Algorithms documentation link above.\n", "\n", "Algorithms are configurable and often part of the configuration will be in the form of smaller building blocks, of which different instances of the building block type can be given. For instance with [VQE](https://qiskit.org/documentation/stubs/qiskit.algorithms.minimum_eigensolvers.VQE.html#qiskit.algorithms.minimum_eigensolvers.VQE), the Variational Quantum Eigensolver, it takes a trial wavefunction, in the form of a [QuantumCircuit](https://qiskit.org/documentation/stubs/qiskit.circuit.QuantumCircuit.html#quantumcircuit) and a classical optimizer among other things.\n", "\n", "Let's take a look at an example to construct a VQE instance. Here [TwoLocal](https://qiskit.org/documentation/stubs/qiskit.circuit.library.TwoLocal.html#twolocal) is the variational form (trial wavefunction), a parameterized circuit which can be varied, and [SLSQP](https://qiskit.org/documentation/stubs/qiskit.algorithms.optimizers.SLSQP.html#slsqp) a classical optimizer. These are created as separate instances and passed to VQE when it is constructed. Trying, for example, a different classical optimizer, or variational form is simply a case of creating an instance of the one you want and passing it into VQE." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from qiskit.algorithms.optimizers import SLSQP\n", "from qiskit.circuit.library import TwoLocal\n", "\n", "num_qubits = 2\n", "ansatz = TwoLocal(num_qubits, 'ry', 'cz')\n", "optimizer = SLSQP(maxiter=1000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's draw the ansatz so we can see it's a [QuantumCircuit](https://qiskit.org/documentation/stubs/qiskit.circuit.QuantumCircuit.html#quantumcircuit) where θ\\[0\\] through θ\\[7\\] will be the parameters that are varied as VQE optimizer finds the minimum eigenvalue. We'll come back to the parameters later in a working example below." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ansatz.decompose().draw('mpl', style='iqx')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But more is needed before we can run the algorithm so let's get to that next." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## How to run an algorithm?\n", "\n", "Algorithms rely on the primitives to evaluate expectation values or sample circuits. The primitives can be based on a simulator or real device and can be used interchangeably in the algorithms, as they all implement the same interface.\n", "\n", "In the VQE, we have to evaluate expectation values, so for example we can use the [qiskit.primitives.Estimator](https://qiskit.org/documentation/stubs/qiskit.primitives.Estimator.html) which is shipped with the default Qiskit Terra installation." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from qiskit.primitives import Estimator\n", "\n", "estimator = Estimator()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This estimator uses an exact, statevector simulation to evaluate the expectation values. We can also use a shot-based and noisy simulators or real backends instead. For more information of the simulators you can check out [Qiskit Aer](https://qiskit.org/ecosystem/aer/apidocs/aer_primitives.html) and for the actual hardware [Qiskit IBM Runtime](https://qiskit.org/documentation/partners/qiskit_ibm_runtime/).\n", "\n", "With all the ingredients ready, we can now instantiate the VQE:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from qiskit.algorithms.minimum_eigensolvers import VQE\n", "\n", "vqe = VQE(estimator, ansatz, optimizer)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can call the [compute_mininum_eigenvalue()](https://qiskit.org/documentation/stubs/qiskit.algorithms.minimum_eigensolvers.VQE.compute_minimum_eigenvalue.html#qiskit.algorithms.minimum_eigensolvers.VQE.compute_minimum_eigenvalue) method. The latter is the interface of choice for the application modules, such as Nature and Optimization, in order that they can work interchangeably with any algorithm within the specific category." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A complete working example\n", "\n", "Let's put what we have learned from above together and create a complete working example. VQE will find the minimum eigenvalue, i.e. minimum energy value of a Hamiltonian operator and hence we need such an operator for VQE to work with. Such an operator is given below. This was originally created by the Nature application module as the Hamiltonian for an H2 molecule at 0.735A interatomic distance. It's a sum of Pauli terms as below, but for now I am not going to say anything further about it since the goal is to run the algorithm, but further information on operators can be found in other tutorials." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from qiskit.quantum_info import SparsePauliOp\n", "\n", "H2_op = SparsePauliOp.from_list([\n", " (\"II\", -1.052373245772859),\n", " (\"IZ\", 0.39793742484318045),\n", " (\"ZI\", -0.39793742484318045),\n", " (\"ZZ\", -0.01128010425623538),\n", " (\"XX\", 0.18093119978423156)\n", "])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So let's run VQE and print the result object it returns." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{ 'aux_operators_evaluated': None,\n", " 'cost_function_evals': 102,\n", " 'eigenvalue': -1.857275020719397,\n", " 'optimal_circuit': ,\n", " 'optimal_parameters': { ParameterVectorElement(θ[0]): -2.403507257619715,\n", " ParameterVectorElement(θ[5]): 1.7060524493254914,\n", " ParameterVectorElement(θ[1]): 3.085467047665086,\n", " ParameterVectorElement(θ[2]): -2.1949965223522487,\n", " ParameterVectorElement(θ[3]): 4.276089268519914,\n", " ParameterVectorElement(θ[4]): -3.098644972035885,\n", " ParameterVectorElement(θ[6]): 0.032773583818940334,\n", " ParameterVectorElement(θ[7]): 2.8861019033185396},\n", " 'optimal_point': array([-2.40350726, 3.08546705, -2.19499652, 4.27608927, -3.09864497,\n", " 1.70605245, 0.03277358, 2.8861019 ]),\n", " 'optimal_value': -1.857275020719397,\n", " 'optimizer_evals': None,\n", " 'optimizer_result': ,\n", " 'optimizer_time': 0.29071593284606934}\n" ] } ], "source": [ "result = vqe.compute_minimum_eigenvalue(H2_op)\n", "print(result)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the above result we can see the number of cost function (=energy) evaluations the optimizer took until it found the minimum eigenvalue of $\\approx -1.85727$ which is the electronic ground state energy of the given H2 molecule. The optimal parameters of the ansatz can also be seen which are the values that were in the ansatz at the minimum value." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Updating the primitive inside VQE\n", "\n", "To close off let's also change the estimator primitive inside the a VQE. Maybe you're satisfied with the simulation results and now want to use a shot-based simulator, or run on hardware!\n", "\n", "In this example we're changing to a shot-based estimator, still using Qiskit Terra's reference primitive. However you could replace the primitive by e.g. Qiskit Aer's estimator ([qiskit_aer.primitives.Estimator](https://qiskit.org/ecosystem/aer/stubs/qiskit_aer.primitives.Estimator.html#qiskit_aer.primitives.Estimator)) or even a real backend ([qiskit_ibm_runtime.Estimator](https://qiskit.org/documentation/partners/qiskit_ibm_runtime/stubs/qiskit_ibm_runtime.Estimator.html#qiskit_ibm_runtime.Estimator)).\n", "\n", "For noisy loss functions, the SPSA optimizer typically performs well, so we also update the optimizer. See also the [noisy VQE tutorial](https://qiskit.org/documentation/tutorials/algorithms/03_vqe_simulation_with_noise.html) for more details on shot-based and noisy simulations. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{ 'aux_operators_evaluated': None,\n", " 'cost_function_evals': 200,\n", " 'eigenvalue': -1.8574503552440247,\n", " 'optimal_circuit': ,\n", " 'optimal_parameters': { ParameterVectorElement(θ[0]): -7.7940259581467375,\n", " ParameterVectorElement(θ[5]): 0.28827257835035214,\n", " ParameterVectorElement(θ[1]): -1.8091021117029589,\n", " ParameterVectorElement(θ[2]): -2.460381278734678,\n", " ParameterVectorElement(θ[3]): -7.725013961075425,\n", " ParameterVectorElement(θ[4]): -1.3793338621798832,\n", " ParameterVectorElement(θ[6]): -2.4148423942537587,\n", " ParameterVectorElement(θ[7]): -1.8555574263247812},\n", " 'optimal_point': array([-7.79402596, -1.80910211, -2.46038128, -7.72501396, -1.37933386,\n", " 0.28827258, -2.41484239, -1.85555743]),\n", " 'optimal_value': -1.8574503552440247,\n", " 'optimizer_evals': None,\n", " 'optimizer_result': ,\n", " 'optimizer_time': 0.8142139911651611}\n" ] } ], "source": [ "from qiskit.algorithms.optimizers import SPSA\n", "\n", "estimator = Estimator(options={\"shots\": 1000})\n", "\n", "vqe.estimator = estimator\n", "vqe.optimizer = SPSA(maxiter=100)\n", "result = vqe.compute_minimum_eigenvalue(operator=H2_op)\n", "print(result)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: We do not fix the random seed in the simulators here, so re-running gives slightly varying results." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This concludes this introduction to algorithms in Qiskit. Please check out the other algorithm tutorials in this series for both broader as well as more in depth coverage of the algorithms." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.23.0.dev0+f52bb33
qiskit-aer0.11.1
qiskit-ignis0.7.1
qiskit-ibmq-provider0.19.2
qiskit-nature0.5.0
qiskit-optimization0.5.0
qiskit-machine-learning0.6.0
System information
Python version3.10.4
Python compilerClang 12.0.0
Python buildmain, Mar 31 2022 03:38:35
OSDarwin
CPUs4
Memory (Gb)32.0
Wed Dec 07 11:02:26 2022 CET
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3.10.6 ('venv': venv)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" }, "vscode": { "interpreter": { "hash": "f8729fd834348017bca17aea688b306f536a675180840f7307eb909fff39c285" } } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/algorithms/02_vqe_advanced_options.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Advanced VQE Options\n", "\n", "In the first algorithms tutorial, you learned how to set up a basic [VQE](https://qiskit.org/documentation/stubs/qiskit.algorithms.minimum_eigensolvers.VQE.html) algorithm. Now, you will see how to provide more advanced configuration parameters to explore the full range of capabilities of Qiskit's variational algorithms: [VQE](https://qiskit.org/documentation/stubs/qiskit.algorithms.minimum_eigensolvers.VQE.html), [QAOA](https://qiskit.org/documentation/stubs/qiskit.algorithms.minimum_eigensolvers.QAOA.html) and [VQD](https://qiskit.org/documentation/stubs/qiskit.algorithms.eigensolvers.VQD.html) among others. In particular, this tutorial will cover how to set up a `callback` to monitor convergence and the use of custom `initial point`s and `gradient`s." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Callback" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Callback methods can be used to monitor optimization progress as the algorithm runs and converges to the minimum. The callback is invoked for each functional evaluation by the optimizer and provides the current optimizer value, evaluation count, current optimizer parameters etc. Note that, depending on the specific optimizer this may not be each iteration (step) of the optimizer, so for example if the optimizer is calling the cost function to compute a finite difference based gradient this will be visible via the callback.\n", "\n", "This section demonstrates how to leverage callbacks in `VQE` to plot the convergence path to the ground state energy with a selected set of optimizers." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, you need a qubit operator for VQE. For this example, you can use the same operator as used in the algorithms introduction, which was originally computed by [Qiskit Nature](https://qiskit.org/ecosystem/nature/) for an H2 molecule." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from qiskit.quantum_info import SparsePauliOp\n", "\n", "H2_op = SparsePauliOp.from_list(\n", " [\n", " (\"II\", -1.052373245772859),\n", " (\"IZ\", 0.39793742484318045),\n", " (\"ZI\", -0.39793742484318045),\n", " (\"ZZ\", -0.01128010425623538),\n", " (\"XX\", 0.18093119978423156),\n", " ]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next step is to instantiate the `Estimator` of choice for the evaluation of expectation values within `VQE`. For simplicity, you can select the [qiskit.primitives.Estimator](https://qiskit.org/documentation/stubs/qiskit.primitives.Estimator.html#qiskit.primitives.Estimator) shipped with the default [Qiskit Terra](https://qiskit.org/documentation/apidoc/terra.html) installation." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "from qiskit.primitives import Estimator\n", "\n", "estimator = Estimator()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You are now ready to compare a set of optimizers through the `VQE` callback. The minimum energy of the H2 Hamiltonian can be found quite easily, so the maximum number of iterations (`maxiter`) does not have to be very large. You can once again use `TwoLocal` as the selected trial wavefunction (i.e. ansatz)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimization complete \n" ] } ], "source": [ "import numpy as np\n", "from qiskit.algorithms.minimum_eigensolvers import VQE\n", "from qiskit.algorithms.optimizers import COBYLA, L_BFGS_B, SLSQP\n", "from qiskit.circuit.library import TwoLocal\n", "from qiskit.utils import algorithm_globals\n", "\n", "# we will iterate over these different optimizers\n", "optimizers = [COBYLA(maxiter=80), L_BFGS_B(maxiter=60), SLSQP(maxiter=60)]\n", "converge_counts = np.empty([len(optimizers)], dtype=object)\n", "converge_vals = np.empty([len(optimizers)], dtype=object)\n", "\n", "for i, optimizer in enumerate(optimizers):\n", " print(\"\\rOptimizer: {} \".format(type(optimizer).__name__), end=\"\")\n", " algorithm_globals.random_seed = 50\n", " ansatz = TwoLocal(rotation_blocks=\"ry\", entanglement_blocks=\"cz\")\n", "\n", " counts = []\n", " values = []\n", "\n", " def store_intermediate_result(eval_count, parameters, mean, std):\n", " counts.append(eval_count)\n", " values.append(mean)\n", "\n", " vqe = VQE(estimator, ansatz, optimizer, callback=store_intermediate_result)\n", " result = vqe.compute_minimum_eigenvalue(operator=H2_op)\n", " converge_counts[i] = np.asarray(counts)\n", " converge_vals[i] = np.asarray(values)\n", "\n", "print(\"\\rOptimization complete \");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, from the callback data you stored, you can plot the energy value at each objective function call each optimizer makes. An optimizer using a finite difference method for computing gradient has that characteristic step-like plot where for a number of evaluations it is computing the value for close by points to establish a gradient (the close by points having very similar values whose difference cannot be seen on the scale of the graph here)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pylab\n", "\n", "pylab.rcParams[\"figure.figsize\"] = (12, 8)\n", "for i, optimizer in enumerate(optimizers):\n", " pylab.plot(converge_counts[i], converge_vals[i], label=type(optimizer).__name__)\n", "pylab.xlabel(\"Eval count\")\n", "pylab.ylabel(\"Energy\")\n", "pylab.title(\"Energy convergence for various optimizers\")\n", "pylab.legend(loc=\"upper right\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, since the above problem is still easily tractable classically, you can use [NumPyMinimumEigensolver](https://qiskit.org/documentation/stubs/qiskit.algorithms.minimum_eigensolvers.NumPyMinimumEigensolver.html#numpyminimumeigensolver) to compute a reference value for the solution." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reference value: -1.85728\n" ] } ], "source": [ "from qiskit.algorithms.minimum_eigensolvers import NumPyMinimumEigensolver\n", "from qiskit.opflow import PauliSumOp\n", "\n", "numpy_solver = NumPyMinimumEigensolver()\n", "result = numpy_solver.compute_minimum_eigenvalue(operator=PauliSumOp(H2_op))\n", "ref_value = result.eigenvalue.real\n", "print(f\"Reference value: {ref_value:.5f}\")" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "You can now plot the difference between the `VQE` solution and this exact reference value as the algorithm converges towards the minimum energy." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pylab.rcParams[\"figure.figsize\"] = (12, 8)\n", "for i, optimizer in enumerate(optimizers):\n", " pylab.plot(\n", " converge_counts[i],\n", " abs(ref_value - converge_vals[i]),\n", " label=type(optimizer).__name__,\n", " )\n", "pylab.xlabel(\"Eval count\")\n", "pylab.ylabel(\"Energy difference from solution reference value\")\n", "pylab.title(\"Energy convergence for various optimizers\")\n", "pylab.yscale(\"log\")\n", "pylab.legend(loc=\"upper right\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradients\n", "\n", "In Qiskit's variational algorithms, if the provided optimizer uses a gradient-based technique, the default gradient method will be finite differences. However, these classes include an option to pass custom gradients via the `gradient` parameter, which can be any of the provided methods within Qiskit's [gradient](https://qiskit.org/documentation/stubs/qiskit.algorithms.gradients.html) framework, which fully supports the use of primitives. This section shows how to use custom gradients in the VQE workflow.\n", "\n", "The first step is to initialize both the corresponding primitive and primitive gradient:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from qiskit.algorithms.gradients import FiniteDiffEstimatorGradient\n", "\n", "estimator = Estimator()\n", "gradient = FiniteDiffEstimatorGradient(estimator, epsilon=0.01)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, you can inspect an SLSQP run using the [FiniteDiffEstimatorGradient](https://qiskit.org/documentation/stubs/qiskit.algorithms.gradients.FiniteDiffEstimatorGradient.html) from above:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Value using Gradient: -1.85728\n" ] } ], "source": [ "algorithm_globals.random_seed = 50\n", "ansatz = TwoLocal(rotation_blocks=\"ry\", entanglement_blocks=\"cz\")\n", "\n", "optimizer = SLSQP(maxiter=100)\n", "\n", "counts = []\n", "values = []\n", "\n", "\n", "def store_intermediate_result(eval_count, parameters, mean, std):\n", " counts.append(eval_count)\n", " values.append(mean)\n", "\n", "\n", "vqe = VQE(\n", " estimator, ansatz, optimizer, callback=store_intermediate_result, gradient=gradient\n", ")\n", "\n", "result = vqe.compute_minimum_eigenvalue(operator=H2_op)\n", "print(f\"Value using Gradient: {result.eigenvalue.real:.5f}\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pylab.rcParams[\"figure.figsize\"] = (12, 8)\n", "pylab.plot(counts, values, label=type(optimizer).__name__)\n", "pylab.xlabel(\"Eval count\")\n", "pylab.ylabel(\"Energy\")\n", "pylab.title(\"Energy convergence using Gradient\")\n", "pylab.legend(loc=\"upper right\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initial point\n", "\n", "By default, the optimization begins at a random point within the bounds defined by the ansatz. The `initial_point` option allows to override this point with a custom list of values that match the number of ansatz parameters.\n", "\n", "You might wonder... *Why set a custom initial point?* Well, this option can come in handy if you have a guess for a reasonable starting point for the problem, or perhaps know information from a prior experiment.\n", "\n", "To demonstrate this feature, let's look at the results from our previous VQE run:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{ 'aux_operators_evaluated': None,\n", " 'cost_function_evals': 9,\n", " 'eigenvalue': -1.8572750175655812,\n", " 'optimal_circuit': ,\n", " 'optimal_parameters': { ParameterVectorElement(θ[0]): 4.296519450348719,\n", " ParameterVectorElement(θ[3]): 6.092947832767056,\n", " ParameterVectorElement(θ[1]): 4.426962358395531,\n", " ParameterVectorElement(θ[7]): 0.36021017470898664,\n", " ParameterVectorElement(θ[4]): -2.598326651673288,\n", " ParameterVectorElement(θ[5]): 1.5683250498282322,\n", " ParameterVectorElement(θ[2]): 0.5470777607659094,\n", " ParameterVectorElement(θ[6]): -4.717616147449751},\n", " 'optimal_point': array([ 4.29651945, 4.42696236, 0.54707776, 6.09294783, -2.59832665,\n", " 1.56832505, -4.71761615, 0.36021017]),\n", " 'optimal_value': -1.8572750175655812,\n", " 'optimizer_evals': None,\n", " 'optimizer_result': ,\n", " 'optimizer_time': 0.3502693176269531}\n" ] } ], "source": [ "print(result)\n", "cost_function_evals = result.cost_function_evals" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, you can take the `optimal_point` from the above result and use it as the `initial_point` for a follow-up computation.\n", "\n", "**Note:** `initial_point` is now a keyword-only argument of the `VQE` class (i.e, it must be set following the `keyword=value` syntax)." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{ 'aux_operators_evaluated': None,\n", " 'cost_function_evals': 1,\n", " 'eigenvalue': -1.8572750175655812,\n", " 'optimal_circuit': ,\n", " 'optimal_parameters': { ParameterVectorElement(θ[0]): 4.296519450348719,\n", " ParameterVectorElement(θ[1]): 4.426962358395531,\n", " ParameterVectorElement(θ[4]): -2.598326651673288,\n", " ParameterVectorElement(θ[5]): 1.5683250498282322,\n", " ParameterVectorElement(θ[3]): 6.092947832767056,\n", " ParameterVectorElement(θ[2]): 0.5470777607659094,\n", " ParameterVectorElement(θ[6]): -4.717616147449751,\n", " ParameterVectorElement(θ[7]): 0.36021017470898664},\n", " 'optimal_point': array([ 4.29651945, 4.42696236, 0.54707776, 6.09294783, -2.59832665,\n", " 1.56832505, -4.71761615, 0.36021017]),\n", " 'optimal_value': -1.8572750175655812,\n", " 'optimizer_evals': None,\n", " 'optimizer_result': ,\n", " 'optimizer_time': 0.05097508430480957}\n", "\n" ] } ], "source": [ "initial_pt = result.optimal_point\n", "\n", "estimator1 = Estimator()\n", "gradient1 = FiniteDiffEstimatorGradient(estimator, epsilon=0.01)\n", "ansatz1 = TwoLocal(rotation_blocks=\"ry\", entanglement_blocks=\"cz\")\n", "optimizer1 = SLSQP(maxiter=1000)\n", "\n", "vqe1 = VQE(\n", " estimator1, ansatz1, optimizer1, gradient=gradient1, initial_point=initial_pt\n", ")\n", "result1 = vqe1.compute_minimum_eigenvalue(operator=H2_op)\n", "print(result1)\n", "\n", "cost_function_evals1 = result1.cost_function_evals\n", "print()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cost_function_evals is 1 with initial point versus 9 without it.\n" ] } ], "source": [ "print(\n", " f\"cost_function_evals is {cost_function_evals1} with initial point versus {cost_function_evals} without it.\"\n", ")" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "By looking at the `cost_function_evals` you can notice how the initial point helped the algorithm converge faster (in just 1 iteration, as we already provided the optimal solution).\n", "\n", "This can be particularly useful in cases where we have two closely related problems, and the solution to one problem can be used to guess the other's. A good example might be plotting dissociation profiles in chemistry, where we change the inter-atomic distances of a molecule and compute its minimum eigenvalue for each distance. When the distance changes are small, we expect the solution to still be close to the prior one. Thus, a popular technique is to simply use the optimal point from one solution as the starting point for the next step. There also exist more complex techniques, where we can apply extrapolation to compute an initial position based on prior solution(s) rather than directly use the prior solution." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.22.2
qiskit-aer0.11.1
qiskit-ignis0.7.1
qiskit-ibmq-provider0.19.2
qiskit0.39.2
System information
Python version3.10.2
Python compilerClang 13.0.0 (clang-1300.0.29.30)
Python buildv3.10.2:a58ebcc701, Jan 13 2022 14:50:16
OSDarwin
CPUs8
Memory (Gb)64.0
Fri Nov 18 01:08:34 2022 CET
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.2" } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/algorithms/03_vqe_simulation_with_noise.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# VQE with Qiskit Aer Primitives\n", "\n", "This notebook demonstrates how to leverage the [Qiskit Aer Primitives](https://qiskit.org/ecosystem/aer/apidocs/aer_primitives.html) to run both noiseless and noisy simulations locally. Qiskit Aer not only allows you to define your own custom noise model, but also to easily create a noise model based on the properties of a real quantum device. This notebook will show an example of the latter, to illustrate the general workflow of running algorithms with local noisy simulators.\n", "\n", "For further information on the Qiskit Aer noise model, you can consult the [Qiskit Aer documentation](https://qiskit.org/ecosystem/aer/apidocs/aer_noise.html), as well the tutorial for [building noise models](https://qiskit.org/ecosystem/aer/tutorials/3_building_noise_models.html)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The algorithm of choice is once again VQE, where the task consists on finding the minimum (ground state) energy of a Hamiltonian. As shown in previous tutorials, VQE takes in a qubit operator as input. Here, you will take a set of Pauli operators that were originally computed by Qiskit Nature for the H2 molecule, using the [SparsePauliOp](https://qiskit.org/documentation/stubs/qiskit.quantum_info.SparsePauliOp.html#sparsepauliop) class." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of qubits: 2\n" ] } ], "source": [ "from qiskit.quantum_info import SparsePauliOp\n", "\n", "H2_op = SparsePauliOp.from_list(\n", " [\n", " (\"II\", -1.052373245772859),\n", " (\"IZ\", 0.39793742484318045),\n", " (\"ZI\", -0.39793742484318045),\n", " (\"ZZ\", -0.01128010425623538),\n", " (\"XX\", 0.18093119978423156),\n", " ]\n", ")\n", "\n", "print(f\"Number of qubits: {H2_op.num_qubits}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As the above problem is still easily tractable classically, you can use `NumPyMinimumEigensolver` to compute a reference value to compare the results later." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reference value: -1.85728\n" ] } ], "source": [ "from qiskit.algorithms.minimum_eigensolvers import NumPyMinimumEigensolver\n", "from qiskit.opflow import PauliSumOp\n", "\n", "numpy_solver = NumPyMinimumEigensolver()\n", "result = numpy_solver.compute_minimum_eigenvalue(operator=PauliSumOp(H2_op))\n", "ref_value = result.eigenvalue.real\n", "print(f\"Reference value: {ref_value:.5f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following examples will all use the same ansatz and optimizer, defined as follows:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# define ansatz and optimizer\n", "from qiskit.circuit.library import TwoLocal\n", "from qiskit.algorithms.optimizers import SPSA\n", "\n", "iterations = 125\n", "ansatz = TwoLocal(rotation_blocks=\"ry\", entanglement_blocks=\"cz\")\n", "spsa = SPSA(maxiter=iterations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Performance *without* noise\n", "\n", "Let's first run the `VQE` on the default Aer simulator without adding noise, with a fixed seed for the run and transpilation to obtain reproducible results. This result should be relatively close to the reference value from the exact computation." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# define callback\n", "# note: Re-run this cell to restart lists before training\n", "counts = []\n", "values = []\n", "\n", "\n", "def store_intermediate_result(eval_count, parameters, mean, std):\n", " counts.append(eval_count)\n", " values.append(mean)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# define Aer Estimator for noiseless statevector simulation\n", "from qiskit.utils import algorithm_globals\n", "from qiskit_aer.primitives import Estimator as AerEstimator\n", "\n", "seed = 170\n", "algorithm_globals.random_seed = seed\n", "\n", "noiseless_estimator = AerEstimator(\n", " run_options={\"seed\": seed, \"shots\": 1024},\n", " transpile_options={\"seed_transpiler\": seed},\n", ")" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VQE on Aer qasm simulator (no noise): -1.84322\n", "Delta from reference energy value is 0.01406\n" ] } ], "source": [ "# instantiate and run VQE\n", "from qiskit.algorithms.minimum_eigensolvers import VQE\n", "\n", "vqe = VQE(\n", " noiseless_estimator, ansatz, optimizer=spsa, callback=store_intermediate_result\n", ")\n", "result = vqe.compute_minimum_eigenvalue(operator=H2_op)\n", "\n", "print(f\"VQE on Aer qasm simulator (no noise): {result.eigenvalue.real:.5f}\")\n", "print(\n", " f\"Delta from reference energy value is {(result.eigenvalue.real - ref_value):.5f}\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You captured the energy values above during the convergence, so you can track the process in the graph below." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Convergence with no noise')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pylab\n", "\n", "pylab.rcParams[\"figure.figsize\"] = (12, 4)\n", "pylab.plot(counts, values)\n", "pylab.xlabel(\"Eval count\")\n", "pylab.ylabel(\"Energy\")\n", "pylab.title(\"Convergence with no noise\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Performance *with* noise\n", "\n", "Now, let's add noise to our simulation. In particular, you will extract a noise model from a (fake) device. As stated in the introduction, it is also possible to create custom noise models from scratch, but this task is beyond the scope of this notebook.\n", "\n", "First, you need to get an actual device backend and from its `configuration` and `properties` you can setup a coupling map and a noise model to match the device. Note: You can also use this coupling map as the entanglement map for the variational form if you choose to." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "NoiseModel:\n", " Basis gates: ['cx', 'id', 'rz', 'sx', 'x']\n", " Instructions with noise: ['cx', 'sx', 'id', 'measure', 'x']\n", " Qubits with noise: [0, 1, 2, 3, 4]\n", " Specific qubit errors: [('id', (0,)), ('id', (1,)), ('id', (2,)), ('id', (3,)), ('id', (4,)), ('sx', (0,)), ('sx', (1,)), ('sx', (2,)), ('sx', (3,)), ('sx', (4,)), ('x', (0,)), ('x', (1,)), ('x', (2,)), ('x', (3,)), ('x', (4,)), ('cx', (3, 4)), ('cx', (4, 3)), ('cx', (3, 1)), ('cx', (1, 3)), ('cx', (1, 2)), ('cx', (2, 1)), ('cx', (0, 1)), ('cx', (1, 0)), ('measure', (0,)), ('measure', (1,)), ('measure', (2,)), ('measure', (3,)), ('measure', (4,))]\n" ] } ], "source": [ "from qiskit_aer.noise import NoiseModel\n", "from qiskit.providers.fake_provider import FakeVigo\n", "\n", "# fake providers contain data from real IBM Quantum devices stored in Qiskit Terra,\n", "# and are useful for extracting realistic noise models.\n", "device = FakeVigo()\n", "\n", "coupling_map = device.configuration().coupling_map\n", "noise_model = NoiseModel.from_backend(device)\n", "\n", "print(noise_model)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once the noise model is defined, you can run `VQE` using an Aer `Estimator`, where you can pass the noise model to the underlying simulator using the `backend_options` dictionary. Please note that this simulation will take longer than the noiseless one." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "noisy_estimator = AerEstimator(\n", " backend_options={\n", " \"method\": \"density_matrix\",\n", " \"coupling_map\": coupling_map,\n", " \"noise_model\": noise_model,\n", " },\n", " run_options={\"seed\": seed, \"shots\": 1024},\n", " transpile_options={\"seed_transpiler\": seed},\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of defining a new instance of the `VQE` class, you can now simply assign a new estimator to our previous `VQE` instance. As the callback method will be re-used, you will also need to re-start the `counts` and `values` variables to be able to plot the convergence graph later on." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# re-start callback variables\n", "counts = []\n", "values = []" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VQE on Aer qasm simulator (with noise): -1.74645\n", "Delta from reference energy value is 0.11083\n" ] } ], "source": [ "vqe.estimator = noisy_estimator\n", "\n", "result1 = vqe.compute_minimum_eigenvalue(operator=H2_op)\n", "\n", "print(f\"VQE on Aer qasm simulator (with noise): {result1.eigenvalue.real:.5f}\")\n", "print(\n", " f\"Delta from reference energy value is {(result1.eigenvalue.real - ref_value):.5f}\"\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "if counts or values:\n", " pylab.rcParams[\"figure.figsize\"] = (12, 4)\n", " pylab.plot(counts, values)\n", " pylab.xlabel(\"Eval count\")\n", " pylab.ylabel(\"Energy\")\n", " pylab.title(\"Convergence with noise\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, you compared three calculations for the H2 molecule ground state. First, you produced a reference value using a classical minimum eigensolver. Then, you proceeded to run `VQE` using the Qiskit Aer `Estimator` with 1024 shots. Finally, you extracted a noise model from a backend and used it to define a new `Estimator` for noisy simulations. The results are:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reference value: -1.85728\n", "VQE on Aer qasm simulator (no noise): -1.84322\n", "VQE on Aer qasm simulator (with noise): -1.74645\n" ] } ], "source": [ "print(f\"Reference value: {ref_value:.5f}\")\n", "print(f\"VQE on Aer qasm simulator (no noise): {result.eigenvalue.real:.5f}\")\n", "print(f\"VQE on Aer qasm simulator (with noise): {result1.eigenvalue.real:.5f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can notice that, while the noiseless simulation's result is closer to the exact reference value, there is still some difference. This is due to the sampling noise, introduced by limiting the number of shots to 1024. A larger number of shots would decrease this sampling error and close the gap between these two values.\n", "\n", "As for the noise introduced by real devices (or simulated noise models), it could be tackled through a wide variety of error mitigation techniques. The [Qiskit Runtime Primitives](https://qiskit.org/documentation/partners/qiskit_ibm_runtime/) have enabled error mitigation through the `resilience_level` option. This option is currently available for remote simulators and real backends accessed via the Runtime Primitives, you can consult [this tutorial](https://qiskit.org/documentation/partners/qiskit_ibm_runtime/tutorials/Error-Suppression-and-Error-Mitigation.html) for further information." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.22.2
qiskit-aer0.11.1
qiskit-ignis0.7.1
qiskit-ibmq-provider0.19.2
qiskit0.39.2
System information
Python version3.10.2
Python compilerClang 13.0.0 (clang-1300.0.29.30)
Python buildv3.10.2:a58ebcc701, Jan 13 2022 14:50:16
OSDarwin
CPUs8
Memory (Gb)64.0
Fri Nov 18 01:03:00 2022 CET
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.2" } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/algorithms/04_vqd.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Variational Quantum Deflation (VQD) Algorithm \n", "\n", "This notebook demostrates how to use Qiskit's implementation of the [Variational Quantum Deflation (VQD)](https://qiskit.org/documentation/stubs/qiskit.algorithms.eigensolvers.VQD.html) algorithm for computing higher energy states of a Hamiltonian, as introduced in this [reference paper](https://arxiv.org/abs/1805.08138). " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "VQD is a quantum algorithm that uses a variational technique to find the *k* eigenvalues of the Hamiltonian *H* of a given system.\n", " \n", "The algorithm computes excited state energies of generalized hamiltonians by optimizing over a modified cost function. Each successive eigenvalue is calculated iteratively by introducing an overlap term with all the previously computed eigenstates that must be minimized. This ensures that higher energy eigenstates are found." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Complete working example for VQD" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step of the VQD workflow is to create a qubit operator, ansatz and optimizer. For this example, you can use the H2 molecule, which should already look familiar if you have completed the previous VQE tutorials:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from qiskit.quantum_info import SparsePauliOp\n", "\n", "H2_op = SparsePauliOp.from_list(\n", " [\n", " (\"II\", -1.052373245772859),\n", " (\"IZ\", 0.39793742484318045),\n", " (\"ZI\", -0.39793742484318045),\n", " (\"ZZ\", -0.01128010425623538),\n", " (\"XX\", 0.18093119978423156),\n", " ]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can set up, for example, a `TwoLocal` ansatz with two qubits, and choose `SLSQP` as the optimization method." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.circuit.library import TwoLocal\n", "from qiskit.algorithms.optimizers import SLSQP\n", "\n", "ansatz = TwoLocal(2, rotation_blocks=[\"ry\", \"rz\"], entanglement_blocks=\"cz\", reps=1)\n", "\n", "optimizer = SLSQP()\n", "ansatz.decompose().draw('mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next step of the workflow is to define the required primitives for running `VQD`. This algorithm requires two different primitive instances: one `Estimator` for computing the expectation values for the \"VQE part\" of the algorithm, and one `Sampler`. The sampler will be passed along to the `StateFidelity` subroutine that will be used to compute the cost for higher energy states. There are several methods that you can use to compute state fidelities, but to keep things simple, you can use the `ComputeUncompute` method already available in `qiskit.algorithm.state_fidelities`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from qiskit.primitives import Sampler, Estimator\n", "from qiskit.algorithms.state_fidelities import ComputeUncompute\n", "\n", "estimator = Estimator()\n", "sampler = Sampler()\n", "fidelity = ComputeUncompute(sampler)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to set up the VQD algorithm, it is important to define two additional inputs: the number of energy states to compute (`k`) and the `betas` defined in the original VQD paper. In this example, the number of states (`k`) will be set to three, which indicates that two excited states will be computed in addition to the ground state.\n", "\n", "The `betas` balance the contribution of each overlap term to the cost function, and they are an optional argument in the `VQD` construction. If not set by the user, they can be autoevaluated for input operators of type `SparsePauliOp`. Please note that if you want to set your own `betas`, you should provide a list of values of length `k`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "k = 3\n", "betas = [33, 33, 33]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You are almost ready to run the VQD algorithm, but let's define a callback first to store intermediate values:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "counts = []\n", "values = []\n", "steps = []\n", "\n", "def callback(eval_count, params, value, meta, step):\n", " counts.append(eval_count)\n", " values.append(value)\n", " steps.append(step)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can finally instantiate `VQD` and compute the eigenvalues for the chosen operator." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from qiskit.algorithms.eigensolvers import VQD\n", "\n", "\n", "vqd = VQD(estimator, fidelity, ansatz, optimizer, k=k, betas=betas, callback=callback)\n", "result = vqd.compute_eigenvalues(operator = H2_op)\n", "vqd_values = result.eigenvalues\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see the three state energies as part of the `VQD` result:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-1.85727493 -1.24458457 -0.88272202]\n" ] } ], "source": [ "print(vqd_values.real)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can use the values stored by the callback to plot the energy convergence for each state:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import pylab\n", "\n", "pylab.rcParams[\"figure.figsize\"] = (12, 8)\n", "\n", "steps = np.asarray(steps)\n", "counts = np.asarray(counts)\n", "values = np.asarray(values)\n", "\n", "for i in range(1,4):\n", " _counts = counts[np.where(steps == i)]\n", " _values = values[np.where(steps == i)]\n", " pylab.plot(_counts, _values, label=f\"State {i-1}\")\n", " \n", "pylab.xlabel(\"Eval count\")\n", "pylab.ylabel(\"Energy\")\n", "pylab.title(\"Energy convergence for each computed state\")\n", "pylab.legend(loc=\"upper right\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This molecule can be solved exactly using the `NumPyEigensolver` class, which will give a reference value that you can compare with the `VQD` result:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "from qiskit.algorithms.eigensolvers import NumPyEigensolver\n", "\n", "\n", "exact_solver = NumPyEigensolver(k=3)\n", "exact_result = exact_solver.compute_eigenvalues(H2_op)\n", "ref_values = exact_result.eigenvalues" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see a comparison of the exact result with the previously computed `VQD` eigenvalues:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reference values: [-1.85727503 -1.24458455 -0.88272215]\n", "VQD values: [-1.85727493 -1.24458457 -0.88272202]\n" ] } ], "source": [ "print(f\"Reference values: {ref_values}\")\n", "print(f\"VQD values: {vqd_values.real}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, the result from VQD matches the values from the exact solution, and extends VQE to also compute excited states. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.24.1
qiskit-aer0.12.0
qiskit-ibmq-provider0.20.2
qiskit0.43.1
System information
Python version3.11.3
Python compilerClang 14.0.0 (clang-1400.0.29.202)
Python buildmain, Apr 7 2023 20:13:31
OSDarwin
CPUs10
Memory (Gb)32.0
Fri Jun 09 14:52:12 2023 PDT
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2023.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.3" } }, "nbformat": 4, "nbformat_minor": 4 } ================================================ FILE: tutorials/algorithms/05_qaoa.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quantum Approximate Optimization Algorithm \n", "\n", "Qiskit has an implementation of the Quantum Approximate Optimization Algorithm [QAOA](https://qiskit.org/documentation/stubs/qiskit.algorithms.minimum_eigensolvers.QAOA.html) and this notebook demonstrates using it for a graph partition problem.\n", "\n", "Before we begin, let's import the `annotations` module from `__future__` to allow postponed evaluation of annotations. This enables us to use simpler type hints throughout the notebook." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from __future__ import annotations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we create a graph and draw it so it can be seen." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import networkx as nx\n", "\n", "num_nodes = 4\n", "w = np.array([[0., 1., 1., 0.],\n", " [1., 0., 1., 1.],\n", " [1., 1., 0., 1.],\n", " [0., 1., 1., 0.]])\n", "G = nx.from_numpy_array(w)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": true, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "layout = nx.random_layout(G, seed=10)\n", "colors = ['r', 'g', 'b', 'y']\n", "nx.draw(G, layout, node_color=colors)\n", "labels = nx.get_edge_attributes(G, 'weight')\n", "nx.draw_networkx_edge_labels(G, pos=layout, edge_labels=labels);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The brute-force method is as follows. Basically, we exhaustively try all the binary assignments. In each binary assignment, the entry of a vertex is either 0 (meaning the vertex is in the first partition) or 1 (meaning the vertex is in the second partition). We print the binary assignment that satisfies the definition of the graph partition and corresponds to the minimal number of crossing edges." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Objective value computed by the brute-force method is 3\n" ] } ], "source": [ "def objective_value(x: np.ndarray, w: np.ndarray) -> float:\n", " \"\"\"Compute the value of a cut.\n", " Args:\n", " x: Binary string as numpy array.\n", " w: Adjacency matrix.\n", " Returns:\n", " Value of the cut.\n", " \"\"\"\n", " X = np.outer(x, (1 - x))\n", " w_01 = np.where(w != 0, 1, 0)\n", " return np.sum(w_01 * X)\n", "\n", "def bitfield(n: int, L: int) -> list[int]:\n", " result = np.binary_repr(n, L)\n", " return [int(digit) for digit in result] # [2:] to chop off the \"0b\" part\n", "\n", "# use the brute-force way to generate the oracle\n", "L = num_nodes\n", "max = 2**L\n", "sol = np.inf\n", "for i in range(max):\n", " cur = bitfield(i, L)\n", "\n", " how_many_nonzero = np.count_nonzero(cur)\n", " if how_many_nonzero * 2 != L: # not balanced\n", " continue\n", "\n", " cur_v = objective_value(np.array(cur), w)\n", " if cur_v < sol:\n", " sol = cur_v\n", "\n", "print(f'Objective value computed by the brute-force method is {sol}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The graph partition problem can be converted to an Ising Hamiltonian. Qiskit has different capabilities in the Optimization module to do this. Here, since the goal is to show QAOA, the module is used without further explanation to create the operator. The paper [Ising formulations of many NP problems](https://arxiv.org/abs/1302.5843) may be of interest if you would like to understand the technique further." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from qiskit.quantum_info import Pauli, SparsePauliOp\n", "\n", "def get_operator(weight_matrix: np.ndarray) -> tuple[SparsePauliOp, float]:\n", " r\"\"\"Generate Hamiltonian for the graph partitioning\n", " Notes:\n", " Goals:\n", " 1 Separate the vertices into two set of the same size.\n", " 2 Make sure the number of edges between the two set is minimized.\n", " Hamiltonian:\n", " H = H_A + H_B\n", " H_A = sum\\_{(i,j)\\in E}{(1-ZiZj)/2}\n", " H_B = (sum_{i}{Zi})^2 = sum_{i}{Zi^2}+sum_{i!=j}{ZiZj}\n", " H_A is for achieving goal 2 and H_B is for achieving goal 1.\n", " Args:\n", " weight_matrix: Adjacency matrix.\n", " Returns:\n", " Operator for the Hamiltonian\n", " A constant shift for the obj function.\n", " \"\"\"\n", " num_nodes = len(weight_matrix)\n", " pauli_list = []\n", " coeffs = []\n", " shift = 0\n", "\n", " for i in range(num_nodes):\n", " for j in range(i):\n", " if weight_matrix[i, j] != 0:\n", " x_p = np.zeros(num_nodes, dtype=bool)\n", " z_p = np.zeros(num_nodes, dtype=bool)\n", " z_p[i] = True\n", " z_p[j] = True\n", " pauli_list.append(Pauli((z_p, x_p)))\n", " coeffs.append(-0.5)\n", " shift += 0.5\n", "\n", " for i in range(num_nodes):\n", " for j in range(num_nodes):\n", " if i != j:\n", " x_p = np.zeros(num_nodes, dtype=bool)\n", " z_p = np.zeros(num_nodes, dtype=bool)\n", " z_p[i] = True\n", " z_p[j] = True\n", " pauli_list.append(Pauli((z_p, x_p)))\n", " coeffs.append(1.0)\n", " else:\n", " shift += 1\n", " \n", " return SparsePauliOp(pauli_list, coeffs=coeffs), shift\n", "\n", "qubit_op, offset = get_operator(w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So lets use the QAOA algorithm to find the solution." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1 1 0 0]\n", "Objective value computed by QAOA is 3\n" ] } ], "source": [ "from qiskit.algorithms.minimum_eigensolvers import QAOA\n", "from qiskit.algorithms.optimizers import COBYLA\n", "from qiskit.circuit.library import TwoLocal\n", "from qiskit.primitives import Sampler\n", "from qiskit.quantum_info import Pauli, Statevector\n", "from qiskit.result import QuasiDistribution\n", "from qiskit.utils import algorithm_globals\n", "\n", "sampler = Sampler()\n", "\n", "\n", "def sample_most_likely(state_vector: QuasiDistribution | Statevector) -> np.ndarray:\n", " \"\"\"Compute the most likely binary string from state vector.\n", " Args:\n", " state_vector: State vector or quasi-distribution.\n", "\n", " Returns:\n", " Binary string as an array of ints.\n", " \"\"\"\n", " if isinstance(state_vector, QuasiDistribution):\n", " values = list(state_vector.values())\n", " else:\n", " values = state_vector\n", " n = int(np.log2(len(values)))\n", " k = np.argmax(np.abs(values))\n", " x = bitfield(k, n)\n", " x.reverse()\n", " return np.asarray(x)\n", "\n", "algorithm_globals.random_seed = 10598\n", "\n", "optimizer = COBYLA()\n", "qaoa = QAOA(sampler, optimizer, reps=2)\n", "\n", "result = qaoa.compute_minimum_eigenvalue(qubit_op)\n", "\n", "x = sample_most_likely(result.eigenstate)\n", "\n", "print(x)\n", "print(f'Objective value computed by QAOA is {objective_value(x, w)}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The outcome can be seen to match to the value computed above by brute force. But we can also use the classical `NumPyMinimumEigensolver` to do the computation, which may be useful as a reference without doing things by brute force." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1 1 0 0]\n", "Objective value computed by the NumPyMinimumEigensolver is 3\n" ] } ], "source": [ "from qiskit.algorithms.minimum_eigensolvers import NumPyMinimumEigensolver\n", "from qiskit.quantum_info import Operator\n", "\n", "npme = NumPyMinimumEigensolver()\n", "result = npme.compute_minimum_eigenvalue(Operator(qubit_op))\n", "\n", "x = sample_most_likely(result.eigenstate)\n", "\n", "print(x)\n", "print(f'Objective value computed by the NumPyMinimumEigensolver is {objective_value(x, w)}')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to use VQE as is shown below" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0 1 0 1]\n", "Objective value computed by VQE is 3\n" ] } ], "source": [ "from qiskit.algorithms.minimum_eigensolvers import SamplingVQE\n", "from qiskit.circuit.library import TwoLocal\n", "from qiskit.utils import algorithm_globals\n", "\n", "algorithm_globals.random_seed = 10598\n", "\n", "optimizer = COBYLA()\n", "ansatz = TwoLocal(qubit_op.num_qubits, \"ry\", \"cz\", reps=2, entanglement=\"linear\")\n", "sampling_vqe = SamplingVQE(sampler, ansatz, optimizer)\n", "\n", "result = sampling_vqe.compute_minimum_eigenvalue(qubit_op)\n", "\n", "x = sample_most_likely(result.eigenstate)\n", "\n", "print(x)\n", "print(f\"Objective value computed by VQE is {objective_value(x, w)}\")\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.23.0
qiskit-aer0.11.1
qiskit-nature0.6.0
qiskit-finance0.4.0
qiskit-optimization0.5.0
qiskit-machine-learning0.6.0
System information
Python version3.9.13
Python compilerClang 13.0.1
Python buildmain, May 27 2022 17:01:00
OSDarwin
CPUs2
Memory (Gb)12.0
Sun Jan 08 11:35:33 2023 EST
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2023.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" }, "vscode": { "interpreter": { "hash": "0becea4cb9c4294abbba7f0b15d5de98241be600556705f5379b48b9de7cb1f9" } } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/algorithms/06_grover.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Grover's Algorithm and Amplitude Amplification\n", "\n", "Grover's algorithm is one of the most famous quantum algorithms introduced by Lov Grover in 1996 \\[1\\]. It has initially been proposed for unstructured search problems, i.e. for finding a marked element in a unstructured database. However, Grover's algorithm is now a subroutine to several other algorithms, such as Grover Adaptive Search \\[2\\]. For the details of Grover's algorithm, please see [Grover's Algorithm](https://learn.qiskit.org/course/ch-algorithms/grovers-algorithm) in the Qiskit textbook.\n", "\n", "Qiskit implements Grover's algorithm in the `Grover` class. This class also includes the generalized version, Amplitude Amplification \\[3\\], and allows setting individual iterations and other meta-settings to Grover's algorithm.\n", "\n", "**References:**\n", "\n", "\\[1\\]: L. K. Grover, A fast quantum mechanical algorithm for database search. Proceedings 28th Annual Symposium on\n", "the Theory of Computing (STOC) 1996, pp. 212-219. https://arxiv.org/abs/quant-ph/9605043\n", "\n", "\\[2\\]: A. Gilliam, S. Woerner, C. Gonciulea, Grover Adaptive Search for Constrained Polynomial Binary Optimization.\n", "https://arxiv.org/abs/1912.04088\n", "\n", "\n", "\\[3\\]: Brassard, G., Hoyer, P., Mosca, M., & Tapp, A. (2000). Quantum Amplitude Amplification and Estimation. http://arxiv.org/abs/quant-ph/0005055" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Grover's algorithm\n", "\n", "Grover's algorithm uses the Grover operator $\\mathcal{Q}$ to amplify the amplitudes of the good states:\n", "\n", "$$\n", " \\mathcal{Q} = \\mathcal{A}\\mathcal{S_0}\\mathcal{A}^\\dagger \\mathcal{S_f}\n", "$$\n", "\n", "Here, \n", "* $\\mathcal{A}$ is the initial search state for the algorithm, which is just Hadamards, $H^{\\otimes n}$ for the textbook Grover search, but can be more elaborate for Amplitude Amplification\n", "* $\\mathcal{S_0}$ is the reflection about the all 0 state\n", "$$\n", " |x\\rangle \\mapsto \\begin{cases} -|x\\rangle, &x \\neq 0 \\\\ |x\\rangle, &x = 0\\end{cases}\n", "$$\n", "* $\\mathcal{S_f}$ is the oracle that applies \n", "$$\n", " |x\\rangle \\mapsto (-1)^{f(x)}|x\\rangle\n", "$$ \n", "    　where $f(x)$ is 1 if $x$ is a good state and otherwise 0.\n", "\n", "In a nutshell, Grover's algorithm applies different powers of $\\mathcal{Q}$ and after each execution checks whether a good solution has been found. \n", "\n", "\n", "### Running Grover's algorithm \n", "\n", "To run Grover's algorithm with the `Grover` class, firstly, we need to specify an oracle for the circuit of Grover's algorithm. In the following example, we use `QuantumCircuit` as the oracle of Grover's algorithm. However, there are several other class that we can use as the oracle of Grover's algorithm. We talk about them later in this tutorial.\n", "\n", "Note that the oracle for `Grover` must be a _phase-flip_ oracle. That is, it multiplies the amplitudes of the of \"good states\" by a factor of $-1$. We explain later how to convert a _bit-flip_ oracle to a phase-flip oracle. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import QuantumCircuit\n", "from qiskit.algorithms import AmplificationProblem\n", "\n", "# the state we desire to find is '11'\n", "good_state = ['11']\n", "\n", "# specify the oracle that marks the state '11' as a good solution\n", "oracle = QuantumCircuit(2)\n", "oracle.cz(0, 1)\n", "\n", "# define Grover's algorithm\n", "problem = AmplificationProblem(oracle, is_good_state=good_state)\n", "\n", "# now we can have a look at the Grover operator that is used in running the algorithm\n", "# (Algorithm circuits are wrapped in a gate to appear in composition as a block\n", "# so we have to decompose() the op to see it expanded into its component gates.)\n", "problem.grover_operator.decompose().draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, we specify a backend and call the `run` method of `Grover` with a backend to execute the circuits. The returned result type is a `GroverResult`. \n", "\n", "If the search was successful, the `oracle_evaluation` attribute of the result will be `True`. In this case, the most sampled measurement, `top_measurement`, is one of the \"good states\". Otherwise, `oracle_evaluation` will be False.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Result type: \n", "\n", "Success!\n", "Top measurement: 11\n" ] } ], "source": [ "from qiskit.algorithms import Grover\n", "from qiskit.primitives import Sampler\n", "\n", "\n", "grover = Grover(sampler=Sampler())\n", "result = grover.amplify(problem)\n", "print('Result type:', type(result))\n", "print()\n", "print('Success!' if result.oracle_evaluation else 'Failure!')\n", "print('Top measurement:', result.top_measurement)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the example, the result of `top_measurement` is `11` which is one of \"good state\". Thus, we succeeded to find the answer by using `Grover`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using the different types of classes as the oracle of `Grover`\n", "In the above example, we used `QuantumCircuit` as the oracle of `Grover`. \n", "However, we can also use `qiskit.quantum_info.Statevector` as oracle.\n", "All the following examples are when $|11\\rangle$ is \"good state\"" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Result type: \n", "\n", "Success!\n", "Top measurement: 11\n" ] } ], "source": [ "from qiskit.quantum_info import Statevector\n", "oracle = Statevector.from_label('11')\n", "problem = AmplificationProblem(oracle, is_good_state=['11'])\n", "\n", "grover = Grover(sampler=Sampler())\n", "result = grover.amplify(problem)\n", "print('Result type:', type(result))\n", "print()\n", "print('Success!' if result.oracle_evaluation else 'Failure!')\n", "print('Top measurement:', result.top_measurement)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Internally, the statevector is mapped to a quantum circuit:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "problem.grover_operator.oracle.decompose().draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Qiskit allows for an easy construction of more complex oracles:\n", "* `PhaseOracle`: for parsing logical expressions such as `'~a | b'`. This is especially useful for solving 3-SAT problems and is shown in the accompanying [Grover Examples](07_grover_examples.ipynb) tutorial.\n", "\n", "Here we'll use the `PhaseOracle` for the simple example of finding the state $|11\\rangle$, which corresponds to `'a & b'`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qiskit.circuit.library.phase_oracle import PhaseOracle\n", "from qiskit.exceptions import MissingOptionalLibraryError\n", "\n", "# `Oracle` (`PhaseOracle`) as the `oracle` argument\n", "expression = '(a & b)'\n", "try:\n", " oracle = PhaseOracle(expression)\n", " problem = AmplificationProblem(oracle)\n", " display(problem.grover_operator.oracle.decompose().draw(output='mpl'))\n", "except MissingOptionalLibraryError as ex:\n", " print(ex)" ] }, { "cell_type": "markdown", "metadata": { "tags": [] }, "source": [ "Which we observe that this oracle implements a phase flip when the state is $|11\\rangle$\n", "\n", "As mentioned above, Grover's algorithm requires a _phase-flip_ oracle. A bit-flip oracle flips the state of an auxiliary qubit if the other qubits satisfy the condition. To use these types of oracles with Grover's we need to convert the bit-flip oracle to a phase-flip oracle by sandwiching the auxiliary qubit of the bit-flip oracle by $X$ and $H$ gates.\n", "\n", "**Note:** This transformation from a bit-flip to a phase-flip oracle holds generally and you can use this to convert your oracle to the right representation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Amplitude amplification\n", "Grover's algorithm uses Hadamard gates to create the uniform superposition of all the states at the beginning of the Grover operator $\\mathcal{Q}$. If some information on the good states is available, it might be useful to not start in a uniform superposition but only initialize specific states. This, generalized, version of Grover's algorithm is referred to _Amplitude Amplification_.\n", "\n", "In Qiskit, the initial superposition state can easily be adjusted by setting the `state_preparation` argument.\n", "\n", "### State preparation\n", "\n", "A `state_preparation` argument is used to specify a quantum circuit that prepares a quantum state for the start point of the amplitude amplification.\n", "By default, a circuit with $H^{\\otimes n}$ is used to prepare uniform superposition (so it will be Grover's search). The diffusion circuit of the amplitude amplification reflects `state_preparation` automatically." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "state preparation circuit:\n" ] }, { "data": { "image/png": "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", 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" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "# Specifying `state_preparation` \n", "# to prepare a superposition of |01>, |10>, and |11>\n", "oracle = QuantumCircuit(3)\n", "oracle.ccz(0, 1, 2)\n", "\n", "theta = 2 * np.arccos(1 / np.sqrt(3))\n", "state_preparation = QuantumCircuit(3)\n", "state_preparation.ry(theta, 0)\n", "state_preparation.ch(0,1)\n", "state_preparation.x(1)\n", "state_preparation.h(2)\n", "\n", "# we only care about the first two bits being in state 1, thus add both possibilities for the last qubit\n", "problem = AmplificationProblem(oracle, state_preparation=state_preparation, is_good_state=['110', '111'])\n", "\n", "# state_preparation\n", "print('state preparation circuit:')\n", "problem.grover_operator.state_preparation.draw(output='mpl')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Success!\n", "Top measurement: 111\n" ] } ], "source": [ "grover = Grover(sampler=Sampler())\n", "result = grover.amplify(problem)\n", "print('Success!' if result.oracle_evaluation else 'Failure!')\n", "print('Top measurement:', result.top_measurement)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Full flexibility\n", "\n", "For more advanced use, it is also possible to specify the entire Grover operator by setting the `grover_operator` argument. This might be useful if you know more efficient implementation for $\\mathcal{Q}$ than the default construction via zero reflection, oracle and state preparation.\n", "\n", "The `qiskit.circuit.library.GroverOperator` can be a good starting point and offers more options for an automated construction of the Grover operator. You can for instance \n", "* set the `mcx_mode` \n", "* ignore qubits in the zero reflection by setting `reflection_qubits`\n", "* explicitly exchange the $\\mathcal{S_f}, \\mathcal{S_0}$ and $\\mathcal{A}$ operations using the `oracle`, `zero_reflection` and `state_preparation` arguments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For instance, imagine the good state is a three qubit state $|111\\rangle$ but we used 2 additional qubits as auxiliary qubits. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "oracle = QuantumCircuit(5)\n", "oracle.ccz(0, 1, 2)\n", "oracle.draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, per default, the Grover operator implements the zero reflection on all five qubits." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.circuit.library import GroverOperator\n", "grover_op = GroverOperator(oracle, insert_barriers=True)\n", "grover_op.decompose().draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But we know that we only need to consider the first three:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "grover_op = GroverOperator(oracle, reflection_qubits=[0, 1, 2], insert_barriers=True)\n", "grover_op.decompose().draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dive into other arguments of `Grover`\n", "`Grover` has arguments other than `oracle` and `state_preparation`. We will explain them in this section.\n", "\n", "### Specifying `good_state`\n", "`good_state` is used to check whether the measurement result is correct or not internally. It can be a list of binary strings, a list of integer, `Statevector`, and Callable. If the input is a list of bitstrings, each bitstrings in the list represents a good state. If the input is a list of integer, each integer represent the index of the good state to be $|1\\rangle$. If it is a `Statevector`, it represents a superposition of all good states.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "# a list of binary strings good state\n", "oracle = QuantumCircuit(2)\n", "oracle.cz(0, 1)\n", "good_state = ['11', '00']\n", "problem = AmplificationProblem(oracle, is_good_state=good_state)\n", "print(problem.is_good_state('11'))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "# a list of integer good state\n", "oracle = QuantumCircuit(2)\n", "oracle.cz(0, 1)\n", "good_state = [0, 1]\n", "problem = AmplificationProblem(oracle, is_good_state=good_state)\n", "print(problem.is_good_state('11'))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "from qiskit.quantum_info import Statevector\n", "\n", "# `Statevector` good state\n", "oracle = QuantumCircuit(2)\n", "oracle.cz(0, 1)\n", "good_state = Statevector.from_label('11')\n", "problem = AmplificationProblem(oracle, is_good_state=good_state)\n", "print(problem.is_good_state('11'))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "# Callable good state\n", "def callable_good_state(bitstr):\n", " if bitstr == \"11\":\n", " return True\n", " return False\n", "\n", "oracle = QuantumCircuit(2)\n", "oracle.cz(0, 1)\n", "problem = AmplificationProblem(oracle, is_good_state=good_state)\n", "print(problem.is_good_state('11'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The number of `iterations`\n", "\n", "The number of repetition of applying the Grover operator is important to obtain the correct result with Grover's algorithm. The number of iteration can be set by the `iteration` argument of `Grover`. The following inputs are supported:\n", "* an integer to specify a single power of the Grover operator that's applied\n", "* or a list of integers, in which all these different powers of the Grover operator are run consecutively and after each time we check if a correct solution has been found\n", "\n", "Additionally there is the `sample_from_iterations` argument. When it is `True`, instead of the specific power in `iterations`, a random integer between 0 and the value in `iteration` is used as the power Grover's operator. This approach is useful when we don't even know the number of solution.\n", "\n", "For more details of the algorithm using `sample_from_iterations`, see [4].\n", "\n", "**References:**\n", "\n", "[4]: Boyer et al., Tight bounds on quantum searching [arxiv:quant-ph/9605034](https://arxiv.org/abs/quant-ph/9605034)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# integer iteration\n", "oracle = QuantumCircuit(2)\n", "oracle.cz(0, 1)\n", "problem = AmplificationProblem(oracle, is_good_state=['11'])\n", "grover = Grover(iterations=1)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# list iteration\n", "oracle = QuantumCircuit(2)\n", "oracle.cz(0, 1)\n", "problem = AmplificationProblem(oracle, is_good_state=['11'])\n", "grover = Grover(iterations=[1, 2, 3])" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# using sample_from_iterations\n", "oracle = QuantumCircuit(2)\n", "oracle.cz(0, 1)\n", "problem = AmplificationProblem(oracle, is_good_state=['11'])\n", "grover = Grover(iterations=[1, 2, 3], sample_from_iterations=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When the number of solutions is known, we can also use a static method `optimal_num_iterations` to find the optimal number of iterations. Note that the output iterations is an approximate value. When the number of qubits is small, the output iterations may not be optimal. In addition, the calculation of this value assumes the standard uniform superposition state preparation and may not be accurate for other state preparations.\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "12" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iterations = Grover.optimal_num_iterations(num_solutions=1, num_qubits=8)\n", "iterations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Applying `post_processing`\n", "We can apply an optional post processing to the top measurement for ease of readability. It can be used e.g. to convert from the bit-representation of the measurement `[1, 0, 1]` to a DIMACS CNF format `[1, -2, 3]`." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, -2, 3]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def to_DIAMACS_CNF_format(bit_rep):\n", " return [index+1 if val==1 else -1 * (index + 1) for index, val in enumerate(bit_rep)]\n", "\n", "oracle = QuantumCircuit(2)\n", "oracle.cz(0, 1)\n", "problem = AmplificationProblem(oracle, is_good_state=['11'], post_processing=to_DIAMACS_CNF_format)\n", "problem.post_processing([1, 0, 1])" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.23.0.dev0+0f6c75e
qiskit-aer0.11.1
qiskit-optimization0.5.0
System information
Python version3.9.10
Python compilerClang 13.1.6 (clang-1316.0.21.2.5)
Python buildmain, Aug 9 2022 18:26:17
OSDarwin
CPUs10
Memory (Gb)64.0
Fri Nov 25 21:25:09 2022 JST
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.10" }, "vscode": { "interpreter": { "hash": "4213929014e7aa4f7c83ab6e8b511ecef456337e6cdcd5a9f1a6614ced2a54b2" } } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/algorithms/07_grover_examples.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Grover's algorithm examples\n", "\n", "This notebook has examples demonstrating how to use the Qiskit [Grover](https://qiskit.org/documentation/stubs/qiskit.algorithms.Grover.html) search algorithm, with different oracles." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Finding solutions to 3-SAT problems\n", "\n", "Let's look at an example 3-Satisfiability (3-SAT) problem and walk-through how we can use Quantum Search to find its satisfying solutions. 3-SAT problems are usually expressed in [Conjunctive Normal Forms (CNF)](https://en.wikipedia.org/wiki/Conjunctive_normal_form) and written in the [DIMACS-CNF](http://www.satcompetition.org/2009/format-benchmarks2009.html) format. For example:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "input_3sat_instance = '''\n", "c example DIMACS-CNF 3-SAT\n", "p cnf 3 5\n", "-1 -2 -3 0\n", "1 -2 3 0\n", "1 2 -3 0\n", "1 -2 -3 0\n", "-1 2 3 0\n", "'''" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The CNF of this 3-SAT instance contains 3 variables and 5 clauses:\n", "\n", "$(\\neg v_1 \\vee \\neg v_2 \\vee \\neg v_3) \\wedge (v_1 \\vee \\neg v_2 \\vee v_3) \\wedge (v_1 \\vee v_2 \\vee \\neg v_3) \\wedge (v_1 \\vee \\neg v_2 \\vee \\neg v_3) \\wedge (\\neg v_1 \\vee v_2 \\vee v_3)$\n", "\n", "It can be verified that this 3-SAT problem instance has three satisfying solutions:\n", "\n", "$(v_1, v_2, v_3) = (T, F, T)$ or $(F, F, F)$ or $(T, T, F)$\n", "\n", "Or, expressed using the DIMACS notation:\n", "\n", "`1 -2 3`, or `-1 -2 -3`, or `1 2 -3`.\n", "\n", "With this example problem input, we then create the corresponding `oracle` for our `Grover` search. In particular, we use the `PhaseOracle` component, which supports parsing DIMACS-CNF format strings and constructing the corresponding oracle circuit." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\"The 'tweedledum' library is required to use 'classical function oracles'. You can install it with 'pip install tweedledum'.\"\n" ] } ], "source": [ "import os\n", "import tempfile\n", "from qiskit.exceptions import MissingOptionalLibraryError\n", "from qiskit.circuit.library.phase_oracle import PhaseOracle\n", "\n", "\n", "fp = tempfile.NamedTemporaryFile(mode='w+t', delete=False)\n", "fp.write(input_3sat_instance)\n", "file_name = fp.name\n", "fp.close()\n", "oracle = None\n", "try:\n", " oracle = PhaseOracle.from_dimacs_file(file_name)\n", "except ImportError as ex:\n", " print(ex)\n", "finally:\n", " os.remove(file_name)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `oracle` can now be used to create an Grover instance:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from qiskit.algorithms import AmplificationProblem\n", "\n", "problem = None\n", "if oracle is not None:\n", " problem = AmplificationProblem(oracle, is_good_state=oracle.evaluate_bitstring)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then configure the backend and run the Grover instance to get the result:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from qiskit.algorithms import Grover\n", "from qiskit.primitives import Sampler\n", "\n", "grover = Grover(sampler=Sampler())\n", "result = None\n", "if problem is not None:\n", " result = grover.amplify(problem)\n", " print(result.assignment)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As seen above, a satisfying solution to the specified 3-SAT problem is obtained. And it is indeed one of the three satisfying solutions.\n", "\n", "Since we used the `Sampler`, the complete measurement result is also returned, as shown in the plot below, where it can be seen that the binary strings `000`, `011`, and `101` (note the bit order in each string), corresponding to the three satisfying solutions all have high probabilities associated with them." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from qiskit.tools.visualization import plot_histogram\n", "\n", "if result is not None:\n", " display(plot_histogram(result.circuit_results[0]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Boolean Logical Expressions\n", "\n", "Qiskit's `Grover` can also be used to perform Quantum Search on an `Oracle` constructed from other means, in addition to DIMACS. For example, the `PhaseOracle` can actually be configured using arbitrary Boolean logical expressions, as demonstrated below." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\"The 'tweedledum' library is required to use 'PhaseOracle'. You can install it with 'pip install tweedledum'.\"\n" ] } ], "source": [ "expression = '(w ^ x) & ~(y ^ z) & (x & y & z)'\n", "try:\n", " oracle = PhaseOracle(expression)\n", " problem = AmplificationProblem(oracle, is_good_state=oracle.evaluate_bitstring)\n", " grover = Grover(sampler=Sampler())\n", " result = grover.amplify(problem)\n", " display(plot_histogram(result.circuit_results[0]))\n", "except MissingOptionalLibraryError as ex:\n", " print(ex)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the example above, the input Boolean logical expression `'(w ^ x) & ~(y ^ z) & (x & y & z)'` should be quite self-explanatory, where `^`, `~`, and `&` represent the Boolean logical XOR, NOT, and AND operators, respectively. It should be quite easy to figure out the satisfying solution by examining its parts: `w ^ x` calls for `w` and `x` taking different values; `~(y ^ z)` requires `y` and `z` be the same; `x & y & z` dictates all three to be `True`. Putting these together, we get the satisfying solution `(w, x, y, z) = (False, True, True, True)`, which our `Grover`'s result agrees with." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.23.3
qiskit-aer0.12.0
qiskit-ibmq-provider0.20.2
qiskit0.42.1
System information
Python version3.10.10
Python compilerGCC 12.2.1 20230201
Python buildmain, Mar 5 2023 22:26:53
OSLinux
CPUs32
Memory (Gb)125.66083908081055
Thu May 04 15:38:15 2023 EDT
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2023.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.10" }, "vscode": { "interpreter": { "hash": "4213929014e7aa4f7c83ab6e8b511ecef456337e6cdcd5a9f1a6614ced2a54b2" } } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/algorithms/09_IQPE.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "id": "feac998a", "metadata": {}, "source": [ "# Iterative Quantum Phase Estimation Algorithm\n", "\n", "The goal of this tutorial is to understand how the Iterative Phase Estimation (IPE) algorithm works, why would we use the IPE algorithm instead of the QPE (Quantum Phase Estimation) algorithm and how to build it with Qiskit using the same circuit exploiting reset gate and the `c_if` method that allows to apply gates conditioned by the values stored in a classical register, resulting from previous measurements.\n", "\n", "**References**\n", "\n", "- [Section 2 of Lab 6: Iterative Phase Estimation (IPE) Algorithm](https://learn.qiskit.org/course/ch-labs/lab-6-iterative-phase-estimation-algorithm) \n", "\n", "- [Ch.3.6 Quantum Phase Estimation](https://learn.qiskit.org/course/ch-algorithms/quantum-phase-estimation)" ] }, { "cell_type": "markdown", "id": "edf04b07", "metadata": {}, "source": [ "# Conditioned gates: the ``c_if`` method" ] }, { "cell_type": "markdown", "id": "4eb985e3", "metadata": {}, "source": [ "Before starting the IPE algorithm, we will give a brief tutorial about the Qiskit conditional method, `c_if`, as it goes into building the IPE circuit.\n", "\n", "`c_if` is a function (actually a method of the gate class) to perform conditioned operations based on the value stored previously in a classical register. With this feature you can apply gates after a measurement in the same circuit conditioned by the measurement outcome.\n", "\n", "For example, the following code will execute the $X$ gate if the value of the classical register is $0$." ] }, { "cell_type": "code", "execution_count": 1, "id": "8d3ed2e3", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import QuantumCircuit\n", "\n", "qc = QuantumCircuit(1, 1)\n", "qc.h(0)\n", "qc.measure(0,0)\n", "qc.x(0).c_if(0, 0)\n", "qc.draw(output='mpl')" ] }, { "cell_type": "markdown", "id": "7bb05bbd", "metadata": {}, "source": [ "We highlight that the method ``c_if`` expects as the first argument a whole classical register, not a single classical bit (or a list of classical bits), and as the second argument a value in decimal representation (a non-negative integer), not the value of a single bit, 0, or 1 (or a list/string of binary digits).\n", "\n", "Let's make another example. Consider that we want to perform a bit flip on the third qubit after the measurements in the following circuit, when the results of the measurement of $q_0$ and $q_1$ are both $1$." ] }, { "cell_type": "code", "execution_count": 2, "id": "00b7d3a1", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import QuantumRegister, ClassicalRegister\n", "\n", "q = QuantumRegister(3, 'q')\n", "c = ClassicalRegister(3, 'c')\n", "qc = QuantumCircuit(q, c)\n", "\n", "qc.h([0, 1, 2])\n", "qc.barrier()\n", "qc.measure(q, c)\n", "\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "id": "ae92e111", "metadata": {}, "source": [ "We want to apply the $X$ gate, only if both the results of the measurement of $q_0$ and $q_1$ are $1$. We can do this using the ``c_if`` method, conditioning the application of $X$ depending on the value passed as argument to ``c_if``.\n", "\n", "We will have to encode the value to pass to the ``c_if`` method such that it will check the values 011 and 111 (in binary representation), since it does not matter what $q_2$ is measured as.\n", "\n", "The 2 integer values in decimal representation:\n", "\n", "$$\\begin{alignedat}{2}\n", "\\left.\\begin{array}{ccc}2^2 & 2^1 & 2^0\\\\\\hline 0 & 1 & 1\\end{array}\\ \\right\\vert&\\ (0\\times2^2) + (1\\times2^1) + (1\\times2^0) = &&2 + 1 = 3 \\\\[10px]\n", "\\left.\\begin{array}{ccc}2^2 & 2^1 & 2^0\\\\\\hline 1 & 1 & 1\\end{array}\\ \\right\\vert&\\ (1\\times2^2) + (1\\times2^1) + (1\\times2^0) = 4 + {}&&2 + 1 = 7\n", "\\end{alignedat}$$" ] }, { "cell_type": "markdown", "id": "25fa9853", "metadata": {}, "source": [ "We can check the solutions using the ``bin()`` method in python (the prefix `0b` indicates the binary format)." ] }, { "cell_type": "code", "execution_count": 3, "id": "19b565e1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0b11\n", "0b111\n" ] } ], "source": [ "print(bin(3))\n", "print(bin(7))" ] }, { "cell_type": "markdown", "id": "c4c65c39", "metadata": {}, "source": [ "So we have to apply $X$ to $q_2$ using ``c_if`` two times, one for each value corresponding to 011 and 111." ] }, { "cell_type": "code", "execution_count": 4, "id": "1bbd6b37", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc.x(2).c_if(c, 3) # for the 011 case\n", "qc.x(2).c_if(c, 7) # for the 111 case\n", "\n", "qc.draw(output='mpl')" ] }, { "cell_type": "markdown", "id": "9a50c886", "metadata": {}, "source": [ "# IPE\n", "\n", "The motivation for using the IPE algorithm is that QPE algorithm works fine for short depth circuits but when the circuit starts to grow, it doesn't work properly due to gate noise and decoherence times.\n", "\n", "The detailed explanation of how the algorithm works can be found in [Iterative Phase Estimation (IPE) Algorithm](https://learn.qiskit.org/course/ch-labs/lab-6-iterative-phase-estimation-algorithm). To understand QPE in depth, you can see also [Ch.3.6 Quantum Phase Estimation](https://learn.qiskit.org/course/ch-algorithms/quantum-phase-estimation).\n", "\n", "## IPE example with a 1-qubit gate for $U$\n", "\n", "We want to apply the IPE algorithm to estimate the phase for a 1-qubit operator $U$. For example, here we use the $S$-gate.\n", "\n", "Let's apply the IPE algorithm to estimate the phase for $S$-gate.\n", "Its matrix is \n", "$$ S = \n", "\\begin{bmatrix}\n", "1 & 0\\\\\n", "0 & e^\\frac{i\\pi}{2}\\\\ \n", "\\end{bmatrix}$$\n", "\n", "That is, the $S$-gate adds a phase $\\pi/2$ to the state $|1\\rangle$, leaving unchanged the phase of the state $|0\\rangle$\n", "\n", "$$ S|1\\rangle = e^\\frac{i\\pi}{2}|1\\rangle $$\n", "\n", "In the following, we will use the notation and terms used in [Section 2 of lab 6](https://learn.qiskit.org/course/ch-labs/lab-6-iterative-phase-estimation-algorithm#lab-15-0).\n", "\n", "Let's consider to estimate the phase $\\phi=\\frac{\\pi}{2}$ for the eigenstate $|1\\rangle$, we should find $\\varphi=\\frac{1}{4}$ (where $\\phi = 2 \\pi \\varphi$). Therefore to estimate the phase we need exactly 2 phase bits, i.e. $m=2$, since $1/2^2=1/4$. So $\\varphi=0.\\varphi_1\\varphi_2$.\n", "\n", "Remember from the theory that for the IPE algorithm, $m$ is also the number of iterations, so we need only $2$ iterations or steps.\n", "\n", "First, we initialize the circuit. IPE works with only 1 auxiliary qubit, instead of $m$ counting qubits of the QPE algorithm. Therefore, we need 2 qubits, 1 auxiliary qubit and 1 for the eigenstate of $U$-gate, and a classical register of 2 bits, for the phase bits $\\varphi_1$, $\\varphi_2$." ] }, { "cell_type": "code", "execution_count": 5, "id": "c82b1da1", "metadata": {}, "outputs": [], "source": [ "nq = 2\n", "m = 2\n", "q = QuantumRegister(nq, 'q')\n", "c = ClassicalRegister(m, 'c')\n", "\n", "qc_S = QuantumCircuit(q,c)" ] }, { "cell_type": "markdown", "id": "fead17a6", "metadata": {}, "source": [ "### First step\n", "\n", "Now we build the quantum circuit for the first step, that is, the first iteration of the algorithm, to estimate the least significant phase bit $\\varphi_m$, in this case $\\varphi_2$. For the first step we have 3 sub-steps:\n", "- initialization\n", "- application of the Controlled-$U$ gates\n", "- measure of the auxiliary qubit in X-basis\n", "\n", "#### Initialization\n", "\n", "The initialization consists of application the Hadamard gate to the auxiliary qubit and the preparation of the eigenstate $|1\\rangle$." ] }, { "cell_type": "code", "execution_count": 6, "id": "b0eb6f14", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc_S.h(0)\n", "qc_S.x(1)\n", "qc_S.draw('mpl')" ] }, { "cell_type": "markdown", "id": "30757254", "metadata": {}, "source": [ "#### Application of the Controlled-$U$ gates\n", "\n", "Then we have to apply $2^t$ times the Controlled-$U$ operators (see also in the docs [Two qubit gates](https://qiskit.org/documentation/tutorials/circuits/3_summary_of_quantum_operations.html#Two-qubit-gates)), that, in this example, is the Controlled-$S$ gate ($CS$ for short).\n", "\n", "To implement $CS$ in the circuit, since $S$ is a phase gate, we can use the controlled phase gate $\\text{CP}(\\theta)$, with $\\theta=\\pi/2$." ] }, { "cell_type": "code", "execution_count": 7, "id": "4629d696", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from math import pi\n", "\n", "cu_circ = QuantumCircuit(2)\n", "cu_circ.cp(pi/2, 0, 1)\n", "cu_circ.draw('mpl')" ] }, { "cell_type": "markdown", "id": "9a09a586", "metadata": {}, "source": [ "Let's apply $2^t$ times $\\text{CP}(\\pi/2)$. Since for the first step $t=m-1$, and $m=2$, we have $2^t=2$." ] }, { "cell_type": "code", "execution_count": 8, "id": "3e94b96d", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for _ in range(2 ** (m - 1)):\n", " qc_S.cp(pi/2, 0, 1)\n", "qc_S.draw('mpl')" ] }, { "cell_type": "markdown", "id": "db469592", "metadata": {}, "source": [ "#### Measure in X-basis\n", "\n", "Finally, we perform the measurement of the auxiliary qubit in X-basis. So we will define a function to perform the ``x_measurement`` and then apply it." ] }, { "cell_type": "code", "execution_count": 9, "id": "aa1cd4fb", "metadata": {}, "outputs": [], "source": [ "def x_measurement(qc, qubit, cbit):\n", " \"\"\"Measure 'qubit' in the X-basis, and store the result in 'cbit'\"\"\"\n", " qc.h(qubit)\n", " qc.measure(qubit, cbit)" ] }, { "cell_type": "markdown", "id": "8e4417ce", "metadata": {}, "source": [ "In this way we obtain the phase bit $\\varphi_2$ and store it in the classical bit $c_0$." ] }, { "cell_type": "code", "execution_count": 10, "id": "9d767f96", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_measurement(qc_S, q[0], c[0])\n", "qc_S.draw('mpl')" ] }, { "cell_type": "markdown", "id": "99727bfd", "metadata": {}, "source": [ "### Subsequent steps (2nd step)\n", "\n", "Now we build the quantum circuit for the other remaining steps, in this example, only the second one.\n", "In these steps we have 4 sub-steps: the 3 sub-steps as in the first step and, in the middle, the additional step of the phase correction\n", "- initialization with reset\n", "- phase correction\n", "- application of the Control-$U$ gates\n", "- measure of the auxiliary qubit in X-basis\n", "\n", "#### Initialization with reset\n", "\n", "As we want to perform an iterative algorithm in the same circuit, we need to reset the auxiliary qubit $q_0$ after the measument gate and initialize it again as before to recycle the qubit. " ] }, { "cell_type": "code", "execution_count": 11, "id": "c69ed53a", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc_S.reset(0)\n", "qc_S.h(0)\n", "qc_S.draw('mpl')" ] }, { "cell_type": "markdown", "id": "60060d00", "metadata": {}, "source": [ "#### Phase correction (for step 2)\n", "As seen in the theory, in order to extract the phase bit $\\varphi_{1}$, we perform a phase correction of $-\\pi\\varphi_2/2$.\n", "Of course, we need to apply the phase correction in the circuit only if the phase bit $\\varphi_2=1$, i.e. we have to apply the phase correction of $-\\pi/2$ only if the classical bit $c_0$ is 1.\n", "\n", "So, after the reset we apply the phase gate $P(\\theta)$ with phase $\\theta=-\\pi/2$ conditioned by the classical bit $c_0$ ($=\\varphi_2$) using the `c_if` method.\n", "So as we saw in the first part of this tutorial, we have to use the `c_if` method with a value of 1, as $1_{10} = 001_{2}$ (the subscripts $_{10}$ and $_2$ indicate the decimal and binary representations)." ] }, { "cell_type": "code", "execution_count": 12, "id": "4d7b8a7b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc_S.p(-pi/2, 0).c_if(c, 1)\n", "qc_S.draw('mpl')" ] }, { "cell_type": "markdown", "id": "9b096b64", "metadata": {}, "source": [ "#### Application of the Control-$U$ gates and x-measurement (for step 2)\n", "\n", "We apply the $CU$ operations as we did in the first step. For the second step we have $t=m-2$, hence $2^t=1$. So we apply $\\text{CP}(\\pi/2)$ once. And then we perform the X-measurement of the qubit $q_0$, storing the result, the phase bit $\\varphi_1$, in the bit $c_1$ of classical register." ] }, { "cell_type": "code", "execution_count": 13, "id": "8d0b95ef", "metadata": {}, "outputs": [], "source": [ "## 2^t c-U operations (with t=m-2)\n", "for _ in range(2 ** (m - 2)):\n", " qc_S.cp(pi/2, 0, 1)\n", "\n", "x_measurement(qc_S, q[0], c[1]) " ] }, { "cell_type": "markdown", "id": "02d9b94c", "metadata": {}, "source": [ "Et voilà, we have our final circuit" ] }, { "cell_type": "code", "execution_count": 14, "id": "31d410f2", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc_S.draw('mpl')" ] }, { "cell_type": "markdown", "id": "d5b1356c", "metadata": {}, "source": [ "Let's sample the circuit with Qiskit Aer's `Sampler` primitive, a local simulator without noise that runs locally." ] }, { "cell_type": "code", "execution_count": 15, "id": "1c984758", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "from qiskit.tools.visualization import plot_histogram\n", "from qiskit_aer.primitives import Sampler\n", "\n", "sampler = Sampler()\n", "\n", "job = sampler.run(qc_S)\n", "result = job.result()\n", "\n", "dist0 = result.quasi_dists[0]\n", "\n", "key_new = [str(key/2**m) for key in list(dist0.keys())]\n", "dist1 = dict(zip(key_new, dist0.values()))\n", "\n", "fig, ax = plt.subplots(1,2)\n", "plot_histogram(dist0, ax=ax[0])\n", "plot_histogram(dist1, ax=ax[1])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "2d830d23", "metadata": {}, "source": [ "In the picture we have the same histograms but on the left we have on the x-axis the string with phase bits $\\varphi_1$, $\\varphi_2$ and on the right the actual phase $\\varphi$ in decimal representation.\n", "\n", "As we expected we have found $\\varphi=\\frac{1}{4}=0.25$ with a $100\\%$ probability." ] }, { "cell_type": "markdown", "id": "2314dbb2", "metadata": {}, "source": [ "## IPE example with a 2-qubit gate\n", "\n", "Now, we want to apply the IPE algorithm to estimate the phase for a 2-qubit gate $U$. For this example, let's consider the controlled version of the $T$ gate, i.e. the gate $U=\\textrm{Controlled-}T$ (that from now we will express more compactly with $CT$). Its matrix is\n", "$$ CT = \n", "\\begin{bmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & 1 & 0 & 0\\\\\n", "0 & 0 & 1 & 0\\\\\n", "0 & 0 & 0 & e^\\frac{i\\pi}{4}\\\\ \n", "\\end{bmatrix} $$\n", "That is, the $CT$ gate adds a phase $\\pi/4$ to the state $|11\\rangle$, leaving unchanged the phase of the other computational basis states $|00\\rangle$, $|01\\rangle$, $|10\\rangle$.\n", "\n", "Let's consider to estimate the phase $\\phi=\\pi/4$ for the eigenstate $|11\\rangle$, we should find $\\varphi=1/8$, since $\\phi = 2 \\pi \\varphi$. Therefore to estimate the phase we need exactly 3 classical bits, i.e. $m=3$, since $1/2^3=1/8$. So $\\varphi=0.\\varphi_1\\varphi_2\\varphi_3$.\n", "\n", "As done with the example for the 1-qubit $U$ operator we will go through the same steps but this time we will have $3$ steps since $m=3$, and we will not repeat all the explanations. So for details see the above example for 1-qubit $U$ gate.\n", "\n", "First, we initialize the circuit with 3 qubits, 1 for the auxiliary qubit and 2 for the 2-qubit gate, and 3 classical bits to store the phase bits $\\varphi_1$, $\\varphi_2$, $\\varphi_3$." ] }, { "cell_type": "code", "execution_count": 16, "id": "c13208f6", "metadata": {}, "outputs": [], "source": [ "nq = 3 # number of qubits\n", "m = 3 # number of classical bits\n", "q = QuantumRegister(nq,'q')\n", "c = ClassicalRegister(m,'c')\n", "\n", "qc = QuantumCircuit(q,c)" ] }, { "cell_type": "markdown", "id": "8107bb94", "metadata": {}, "source": [ "### First step\n", "\n", "Now we build the quantum circuit for the first step, to estimate the least significant phase bit $\\varphi_m=\\varphi_3$.\n", "\n", "#### Initialization\n", "\n", "We initialize the auxiliary qubit and the other qubits with the eigenstate $|11\\rangle$." ] }, { "cell_type": "code", "execution_count": 17, "id": "982d416d", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAH0AAADWCAYAAAD8W40IAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjYuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8o6BhiAAAACXBIWXMAAAsTAAALEwEAmpwYAAAKKElEQVR4nO3dfUwUiRnH8d/MAiJBDwxBo7tuBVmiq3AnVglNAK8WMaEBzzdIS5SSyIm9BLX1rlGMFI6cL21Jm6baGrXJ9WjiFiw1SMNFWDAQLXriW+KKLtJVKr5sFKMsuLv9g4iiIrNklpnheT4J/4xh59GvM7ss+iB4vV4vGCmi0gOw8cfRCeLoBHF0gjg6QRydII5OEEcniKMTxNEJ4ugEcXSCODpBHJ0gjk4QRyeIoxPE0Qni6ARxdII4OkEcnSCOThBHJ4ijE8TRCQpQegC1q2oD7jiVOfescOCTxfI/LkcfxR0ncLNH6Snkxbd3gjg6QRydII5OEEcniKMTxNEJ4ugEcXSCVB3d4/HgwIEDiImJQXBwMOLj42G1WhEbG4tNmzYpPd47WcpSce5EmeTjSlD127D5+fmoqqpCcXExEhIS0NLSgpycHNy/fx/btm1TejzNUm30yspKHDt2DI2NjUhJSQEALFu2DBcuXEBVVRUWLVqk8ITapdrbe3l5OdLT04eCvzR37lwEBgYiLi4OANDZ2YmUlBSYTCYsXLgQzc3NSoyrKaqM7nA4cOXKFaxdu/atX+vq6oLZbMakSZMAAAUFBVi/fj1sNhsOHTqE7Oxs9Pf3j3oOQRAkfVitjT7Pf+6fX+JPm8KGfdy1nfH5cazWRslz+kKVt3eHwwEAmDFjxrDjz58/h9VqxcqVKwEADx48wJkzZ1BTUwMASEpKwsyZM9HQ0IAVK1aM79CvWZK5E0uydg07ZilLVWaYd1DllR4REQEAsNlsw47v27cP3d3dSEhIADB41U+fPn3oqgeAOXPm4Pbt26Oew+v1SvpISUmV7zfmo5SUVMlz+kKVV3pUVBTi4uJQXl6OadOmYdasWbBYLKitrQWAoehsbFR5pYuiiOPHj8NsNmPz5s3Iy8tDREQEtmzZAp1ON/Qibvbs2bh37x5cLtfQ59rtdhiNRqVG1wRBS6u/c3Nz0d7ejkuXLg0dS0tLQ1ZWFgoLC9HS0oI1a9ags7MTQUFBspzzD/XK/XOp6Ejgsx/J/7iqvL2PpK2tDYmJicOOHTx4EBs3bkRFRQWCgoJQWVkpW/CJSjPRnz59CpvNhsLCwmHHo6Ki0NTUpNBU2qSZ6KGhoXC73UqPMSGo8oUc8y+OThBHJ4ijE8TRCeLoBHF0gjTzdbpSZoVPvHNr6r13Jg++vRPE0Qni6ARxdII4OkEcnSCOThBHJ4ijE8TRCeLoBHF0gjg6Qfyt1VFsv34N7b29ipw7fsoU/CZ2vuyPy9FH0d7biybnI6XHkBXf3gni6ARxdII4OkEcnSCOThBHJ4ijE6Tq6FpcCKwFqo6en5+P0tJSFBQU4NSpU1i3bh1ycnJw69Yt1a4V8w4MYODTn8N96C/DjrurT2DgpxvgffpUocleUe3bsFpdCCwEBiLgi1/ixWdFEJZ8H+JHH8Jrt8Nz5K/QfflrCKGhSo+o3itd6kLg3bt3w2QyQRRFWCwWJUZ9i/A9I8SfbYD7wO/gffQIL77aDzHzxxDjFio9GgCVRvdlIXB6ejrq6uqQnJw83mO+l5iVCWG2AS8KtgA6HcQNuUqPNES10YGRFwK/fmtPSkpCVFSUz+eQul25sbFxTL8HQRAgxC0EHj+G+MOPIQQG+vwYjY3+2QKtyuhSFwKrmdduh+ebv0Ncvxaer7+Bt0c9P6VXlS/kxmMhsNT/ob287azP30/39g8MPo9/kgVd3gZ4nU649/8Wur3lEETp11lqaiq+9cP/JFfllS51IbBaeY4chRAQADH3JwAAXeGn8P7vHjz/qFZ4skGqvNIBwGQyoaGhYdix3NxczJ8/H5MnT1ZoqtF5vrsIT20dAv74ewgBg3+8QkgIdJ//Au5f7YK4eBGEOXMUnVGVV/pI2tra3rq1FxcXQ6/Xo7W1FQUFBdDr9bh586ZCEwLiRx8isKYKgkE//PgCMwL/Va14cEBD0V8uBH7zTZnS0lI4HA64XC48fPgQDocD0dHRCk2pDaq9vb+JFwLLRzNXOpMPRyeIoxPE0Qni6ARxdII4OkGa+TpdKfFTpky4c/NCYIL49k4QRyeIoxPE0Qni6ARxdII4OkEcnSCOThBHJ4ijE8TRCeLoBPG3VkfBC4EJ4oXAbELg6ARxdII4OkEcnSCOThBHJ4ijE6Tq6LwQ2D9UHZ0XAvuHat+G5YXA/qPaK13KQmCn04mMjAyYTCbEx8cjLS0NHR0dCk38Ci8EHgOpC4EFQUBRURFsNhva29uRkZGBvLw8BSZ+Gy8E9pHUhcBhYWFYvnz50K8nJSXBbrdLOgcvBFaZsS4ErqioQFZWlr/Hk4QXAvtoLAuBS0pK0NHRgdOnT0s6By8EVhlfFwKXlZXh5MmTqKurQ0hIiEJTv8ILgcdI6kLgkpIS1NbWor6+HmFhYeM85du0sBBYU5so5s2bh8TERBw9ehQAcPXqVSxYsADR0dEIfe3r34sXL8p2zrHc3uWSHD4N3y5eKvvjqvZKf9PLhcCFhYVDx8xms+TnZvaKZqLzQmD5qPKFHPMvjk4QRyeIoxPE0Qni6ARxdII4OkGaeXNGKbwFmk0IfHsniKMTxNEJ4ugEcXSCODpBHJ0gjk4QRyeIoxPE0Qni6ARxdII4OkH8/fQRpKWloaenB263G7GxsThy5AimTp2q9Fiy4O+nj+Dx48f44IMPAABFRUUICwvDnj17lB1KJnx7H8HL4B6PB319fT5ve1Azjv4eq1atQmRkJK5fv47t27crPY5sOPp7VFdX4+7du9Dr9bBYLEqPIxuOPoqgoCBkZ2ejulodWyTkwNHfobe3F93d3QAGn9NrampgNpsVnko+/CXbO/T29iIzMxMulwsejwdLly7Frl27lB5LNvwlm4+8Xq/mX8nz7d1H1rPt+NuJerzQ8FYMzUe/fPkyVq9ejYiICAQHByMmJgY7d+70y7lcrn40nW1H/8ALBOh0fjnHeND0c/r58+eRnJwMg8GA/fv3w2g0wm63o6WlxS/na7lwFc/6XFj+A3WuHZdK08/pqampuHbtGm7cuDH0DppUX+z9s5+mUsZXn0v/oQeavb0/e/YMzc3NyMnJ8Tk4dZq9vTudTng8Huj1+jF9vi9XhsvVj70HK2GYGYm8tSvHdD410Wz08PBwiKKIO3fujOnzx3J7v37rv6p9WiBxew8JCUFycjIqKyvx5MkTpcfRFE2/kHv56t1oNGLHjh0wGo3o6upCc3MzDh8+LMs5Glq/w7+b/oMtuVkwzIyU5TGVptnbOzC49721tRXFxcXYunUr+vr6YDAYkJ2dLcvju1z9aD53CbFRhgkTHND4le5v3T0P8fWJemRnfMzRKfF4PBB9+GkMWsDRCZpYf4WZJBydII5OEEcniKMTxNEJ4ugEcXSCODpBHJ0gjk4QRyeIoxPE0Qni6ARxdII4OkEcnSCOThBHJ4ijE8TRCeLoBHF0gjg6QRydII5O0P8BTmvlWmCsIVAAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc.h(0)\n", "qc.x([1, 2])\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "id": "739dbd79", "metadata": { "tags": [] }, "source": [ "#### Application of the Controlled-$U$ gates\n", "\n", "Then we have to apply multiple times the $CU$ operator, that, in this example, is the Controlled-$CT$ gate ($CCT$ for short).\n", "\n", "To implement $CCT$ in the circuit, since $T$ is a phase gate, we can use the multi-controlled phase gate $\\text{MCP}(\\theta)$, with $\\theta=\\pi/4$." ] }, { "cell_type": "code", "execution_count": 18, "id": "280518a7", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cu_circ = QuantumCircuit(nq)\n", "cu_circ.mcp(pi/4, [0, 1], 2)\n", "cu_circ.draw('mpl')" ] }, { "cell_type": "markdown", "id": "cd174450", "metadata": {}, "source": [ "Let's apply $2^t$ times $\\text{MCP}(\\pi/4)$. Since for the first step $t=m-1$ and $m=3$, we have $2^t=4$." ] }, { "cell_type": "code", "execution_count": 19, "id": "24c8f9b9", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for _ in range(2 ** (m - 1)):\n", " qc.mcp(pi/4, [0, 1], 2)\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "id": "09e40686", "metadata": {}, "source": [ "#### Measure in X-basis\n", "\n", "Finally, we perform the measurement of the auxiliary qubit in X-basis.\n", "We can use the `x_measurement` function defined above in the example for 1-qubit gate. In this way we have obtained the phase bit $\\varphi_3$ and stored it in the classical bit $c_0$." ] }, { "cell_type": "code", "execution_count": 20, "id": "6fa62739", "metadata": {}, "outputs": [ { "data": { "image/png": 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S6fX68xLdN97jkcybY5JMr9efl1EpaR71s7MGburYzfR6tbhfLrnytjf26Y5PhqGIiAgA8vLyGrQvXbqUkpISUlJSzCirWVz5+Tj/8lfsD07D+eFfcJVabxLBuctnlzbhbKVO+t+Iqurz1NbWeLSu+vrGNKf/1Nc3xtP+czprOX+hopWrkUDnk98mi46OJjExkcWLF9OlSxd69+7N6tWrWb9+PUCLhCGXh9/LvD3rCzJPNTIrtaltX6g25glNvRfH7Fm4Tp2i9uVXcSxZjM3uef5MS0vjH378/dF9n0PhjqbXcQRD+vY1OEK8U1Og+nqd+9M3oe3hm4PbsPnkRyD/8dVKOHOEa/e1Ddp3g6MnD3mxqsDjcsHWd9xMkLZBt1gHlTon6ReeWvI2YBx/L7/tC3zybdFut7Nq1SoSEhKYN28es2fPJiIigvnz5+NwOOomT/sq57vvYQsKwj7zxwA4HvsprqPf4fxorcmVeVfkULAHAU2MVPZNQUGoBUQNd79OvxEoCLWA/iNwO2eo/0hvVRO4bDbo564fXdDPg9e+iDs++9YYFxfHpk2bOHv2LAUFBSxatIjc3FwGDRpE27ZtzS7vmpw7s3Gu34DjqV9jCzIG3mxhYTh+8yTODz7ElZ9vcoXeE9YZku8Dx5XjjxfDUc/BED3a62UFpI49Ycg91w47USOgT7JXSwpYEQMg/rZrPx6bBt1ivVZOQOs1GPqPavwxmw0Svg+d+ni3JglMPnma7FqysrIYObLhR4WFCxfy3nvvcezYMXJzc1mwYAEZGRkMGGDOFebsQ5Oxr1tzdfvgBOx/s9bIEECXKBjzEziSa3xNFqDHzdAnCTr2Mt7QpGV0jzf6tDgH8v9ttPVONEJQ+26mlhZwIofCTf2gKBsKtl9sG2b0dbsuJhYWYGw2GDAGuscZfV2UY7T3+57x2m7b0dTyJID47MjQlSoqKsjLy7vqYouLFi2iqKiIqqoqTpw4QVFRkWlBSBoXEma8eV0y+PvGFXoVhFpem/YwYGz9/ZsnKgi1lrDOEDe+/n78BAWh1hLeFQbeUX8/5lYFIWlZfjMyFB4eTm2tLiYhIiIiLctvRoZEREREWoPCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrfXGfILEnt21ty3yIiIlahMOTGK/GDzC5BREREWpFOk4mIiIilKQyJiIiIpSkMiU9IT08nKiqKtLQ0pkyZQmVlZYPHly1bxs6dO6/5/OLiYhYsWFB3//e//z1jxxq/WJqTk8PSpUtbpW5/pL72HvW196iv5UYoDInPmDlzJunp6YwePZrVq1fXtTudTv71r38xdOjQaz73s88+4447jJ+1rqqqIjs7u+6xpKQktm3bhsvlarXa/Y362nvU196jvpbrpTAkPic5OZmioqK6+zk5OcTExADGp7/OnTuTlpZGVFQUU6ZMASAjI4PU1FQAVqxYwaxZsxpsMzY2tslPhValvvYe9bX3qK+luRSGxOdkZmYSFxdXd3///v3069cPgHHjxjFixAjS09NJTU3lj3/8Iy6Xi7NnzxIeHk51dTXp6elMmDChwTajo6PZu3evN/8Mv6C+9h71tfeor6W5FIbEZ/z5z39m/PjxnD59uu7T2pUOHjxIdHQ0AIWFhfTu3ZucnBySkpLqtvGjH/3IazX7K/W196ivvUd9LddLYUh8xsyZM9m0aRN/+MMfcDgcde2xsbEcOnQIgG+++YaEhARqa2ux242X7+Xn+vft28cbb7zBpEmT+Oabb3j99dcB4w1w4MCB3v2DfJj62nvU196jvpbrpTAkPi8pKYm8vDyg/o2sqqqK0tJSSkpKyMrK4pZbbgFgyZIlbNy4kQ0bNpCQkMDPfvYzAPLy8khOTjbrT/Ab6mvvUV97j/pa3NEVqMUnpKWlkZaW1uhjdrudW2+9lZ07d/L000/Xtefm5gJw//33133Cu9yWLVsAY/LkqFGjGl3HitTX3qO+9h71tdwIm0vfFRQv+ccy47+3P2luHVagvvYe9bX3qK/921NL3gbgd7+Z2+C2L1DMFREREUtTGBIRERFL05whN361bzc55eWm7DupfXteiR9kyr5FRESsQmHIjZzycjJPnTS7DBEREWklOk0mIiIilqYwJCIiIpamMCQiIiKWpjAkIiIilqYwJCIiIpamMCQiIiKWpjAkIiIilqYwJCIiIpbm02HI6XSybNkyYmNjadOmDUlJSWRkZBAfH8/cub7x427SfE6n2RUEtst/etmlvm5VDfpaP3ndqtTX0pp8OgzNmTOHRYsW8eijj/Lpp5/ywx/+kBkzZnDw4EFSUlLMLq9Rrupqqn/6OLVv/VeD9tq1H1P9P2bhqqgwqTLzfJcHX/2l/v7mP8KBzVB93ryaApHLBUdy4YsP6tu2vA35/4baC+bVFYicTijYAVtX1LdtfQcKtoOz1ry6AlFtNRz6wngtX/LvP0Hx1wpF0nJ89uc4Vq5cyfvvv096ejqpqakAjB8/nh07drBmzRqGDRtmcoWNswUHE/TUf1DzswXYRgzHPjQZV34+znf/hOM/f4stPNzsEr3q2y3GwRhbfVt1pfHm9t0+uGUGhLYzrbyA4XLBnr8bYejyvq6qMP4NSvdDyoMQFGJaiQHDWQtfr4Pj3zZsP38G8jbB8XxIvg/sDnPqCyS1F2DHajhzpGH72ePG6/1UESTcBTZb488X8ZTPjgwtXryYSZMm1QWhS2JiYggODiYxMZFTp05xzz33EBcXR1JSEhMnTuTAgQMmVVzP1i8K+8OzqF32e1wnT1Lzu5exT/kB9sQhZpfmVScPXwxCAI18gjt/GvZ+5s2KAtfRPReDEDTa1+XfwYFMr5YUsAq2Xx2ELnfyEBz60mvlBLQD/7o6CF3u6G44sst79Ujg8skwVFRUxK5du5g2bdpVjxUUFJCQkEBoaCg2m40FCxaQl5dHTk4O99xzD7Nnzzah4qvZ752CrW8kNY/OB4cD+6yZZpfkdYU7aTBK0ZhjB6CyzCvlBLTCHbjt6yO7oKbKK+UELJfz4uvajaKdOl12o2ovwJGv3axkg8LtOl0mN85nwxBAjx49GrSfP3+ejIyMulNknTp14vbbb697fPTo0eTn53u0D5vN5tGSnp5+XX+DzWbDljgEzpzBftsEbMHBzd5Genq6x3X64nJ4V1mjoxRXujvtx6bX6s9LaHBbyo7itq+dNTA8YYLp9frz0qtrNFXl7l/TF85B/143m16vPy9J8WOorXbT0S6oOA7twzqZXq8W98slV972xj7d8ckwFBERAUBeXl6D9qVLl1JSUnLNydPLly/n3nvvbe3yPOLKz8f5l79if3Aazg//gqu01OySvM7u4aQJT9eTxjWn/9TXN8bRnL62qa9vRHP6T69ruVE+OYE6OjqaxMREFi9eTJcuXejduzerV69m/fr1AI2GoRdffJEDBw7w+eefe7QPl4fjqrdnfUHmqZOeFw+4LlQb84Sm3otj9ixcp05R+/KrOJYsxmb3PH+mpaXxDz8e/836K5wuxu2IxdoNHxAe8UHTK8k1uVzGt5rOn3azog227vxME9ZvgLMGMt+Emsqm13OEwIHCXTiaPyAsF104D5vfcH95iDbt4UzFCZoxCCAmeWqJ8ZVAl8vV4LYv8MmRIbvdzqpVq0hISGDevHnMnj2biIgI5s+fj8PhIDExscH6L730Ep988gkbNmwgLCzMpKrrOd99D1tQEPaZPwbA8dhPcR39DudHa02uzLsik2k6CNmgU28Ij/BSQQHKZoPIoe5Wgu5x+ubejbIHQe9E9+v1GoKC0A0KaQs9BuJ2Llyfofo2mdw4nxwZAoiLi2PTpk0N2mbOnMmgQYNo27ZtXduLL77I+vXr+eyzz+jUqZOXq7yac2c2zvUbCPrDa9iCjO61hYXh+M2T1P7PZ7HfMgxb//4mV+kd3eKh+37jK/RXsRlf8755otfLCkh9ko3J6KcKG3nQZoSg2DQvFxWg+n8PTuRDxbHGH293E0SP8m5NgSom1fj6fGU5jX6w6tQbIn3zKiviZ3w2DDUmKyuLkSNH1t3/5ptveOGFFxgwYABpaWl17dnZ2d4v7iL70GTs69Zc3T44AfvfrDUyZLPB4LshvKvxbacL5y49AF1jIOZWaNfF1BIDht0ByffDwa1QnFP/rTGbHboPhNhxEGqtS1y1mqBQuGW6ceHQI7uMU2dgjBr1TDBe18FtzK0xUIS2g+E/Ni4LcXRP/SkzR4gxQjdgDDj86igmvspvXkYVFRXk5eXx2GOP1bUlJCT4zPlGaZzNDv1HQtRwKC81DhxhnXVgbg2OICP0RI+C8mOAE8K6QIj5Z44DTlAoDLzdCD4Vx4228AijXVpWaDvjwopxaXD2BGCH9l11GlJalt+EofDwcGprdeEOf2V3QMeeZldhDY5g6NTL7CqsISjUOFUjrS+4LXTqY3YVEqh8cgK1iIiIiLcoDImIiIilKQyJiIiIpSkMiYiIiKUpDImIiIilKQyJiIiIpSkMiYiIiKUpDImIiIil+c1FF82S1L69JfctIiJiFQpDbrwSP8jsEkRERKQV6TSZiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawtA1TJw4keTkZIYMGcIDDzxAWVmZ2SWJiIhYVnp6OgkJCcTExPDII49QW1vbYttWGLqGVatWkZ2dTW5uLn369OHVV181uyQRERFLcjqdPPLII6xatYoDBw5QVlbGhx9+2GLbVxi6ho4dOwLGP0BlZSU2m83kikRERKzpq6++olevXgwaNAiAOXPm8NFHH7XY9hWGmnDffffRrVs39u3bx69+9SuzyxEREbGkoqIiIiMj6+737duXwsLCFtt+UIttKQCtXbuWCxcuMGfOHFavXs1DDz1kdkkiIiJ+oaziHH9es5GaWmeD9v/13kdX3bbZYMbk2+japVOj23K5XK1WJ2hkyK2QkBCmT5/O2rVrzS5FRETEb3QID2NwfDQlpScoKT1R137l7ZLSE8RE9b5mEAKIjIxsMBJUUFBAnz59WqxWhaFGlJeXU1JSAhhzhtatW0dCQoLJVYmIiPiXW4cPoV+fHk2u06NrFybeOrzJdW655RaKiorYvXs3ACtWrGDq1KktVqfCUCPKy8uZPHkyiYmJJCYmUlNTw7PPPmt2WSIiIn7Fbrfzw3vGExoS3OjjjouPBwU5mtyOw+HgnXfe4YEHHmDAgAGEh4czc+bMFqvT5mrtE3EBxuVy6ZtlIiIizZD19T5Wf5pxVftdaSNI/V6y9wu6gkaGminjixz+++PPqGnBiz2JiIgEspQhcQyK7degrV+fHtw6PNGcgq7g92EoNzeX+++/n4iICNq0aUNsbCzPPPNMq+yrquoCmV/kcKG6hiBH00N6IiIiYrDZbEyddCvhYW0BCAkJ5od3p2G3+0YM8euv1m/fvp1x48YRGRnJyy+/TFRUFPn5+WzdurVV9rd1xzecq6zi9jEprbJ9ERGRQBUe1papd43jg4828oPbRtGlUwezS6rj13OG0tLS2L17N/v376+7YrSnnlryditVJSIiIr7gd7+Z69F6vjE+dR3OnTvH5s2bmTFjRrODkIiIiMglfnua7NSpUzidzuu+6JKnaRGMuUJL3lxJZK9uzJ5213XtT0RERHyT34ahzp07Y7fbKS4uvq7nX89psn0HC3V6TURExE8E/GmysLAwxo0bx8qVKykrKzO7HBEREfFTfj2B+tK3yaKiovj1r39NVFQUBQUFbN68mXfeeadF9rFp2042Zn7F/Jn3EtmrW4tsU0RERHyH354mA0hJSWHbtm0sXLiQX/7yl1RWVhIZGcn06dNbZPtVVRfY/OXXxEdHKgiJiIgEKL8eGWptJaUn+PDjz5h+zwSFIRERkQClMOSG0+n0mStkioiISMtTGBIRERFL05CHiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhYmsKQiIiIWJrCkIiIiFiawpCIiIhY2v8HzfadmajGaAwAAAAASUVORK5CYII=\n", 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" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_measurement(qc, q[0], c[0])\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "id": "3ac0df28", "metadata": {}, "source": [ "### Subsequent steps (2nd, 3rd)\n", "\n", "Now we build the quantum circuit for the other remaining steps, the second and the third ones.\n", "As said in the first example, in these steps we have the additional sub-step of the phase correction.\n", "\n", "#### Initialization with reset\n" ] }, { "cell_type": "code", "execution_count": 21, "id": "1520c0da", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc.reset(0)\n", "qc.h(0)\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "id": "f7da1b6a", "metadata": {}, "source": [ "#### Phase correction (for step 2)\n", "In order to extract the phase bit $\\varphi_{2}$, we perform a phase correction of $-\\pi\\varphi_3/2$.\n", "\n", "So, after the reset we apply the phase gate $P(\\theta)$ with phase $\\theta=-\\pi/2$ conditioned by the classical bit $c_0$ ($=\\varphi_3$)." ] }, { "cell_type": "code", "execution_count": 22, "id": "99a64b7b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc.p(-pi/2, 0).c_if(c, 1)\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "id": "68be63a1", "metadata": {}, "source": [ "#### Application of the Control-$U$ gates and x-measurement (for step 2)\n", "We apply the $CU$ operations as we did in the first step. For the second step we have $t=m-2$, hence $2^t=2$. So we apply $\\text{MCP}(\\pi/4)$ $2$ times. And then we perform the X-measurement of the qubit $q_0$, storing the phase bit $\\varphi_2$ in the bit $c_1$." ] }, { "cell_type": "code", "execution_count": 23, "id": "fa0d6cef", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "for _ in range(2 ** (m - 2)):\n", " qc.mcp(pi/4, [0, 1], 2)\n", "x_measurement(qc, q[0], c[1])\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "id": "25949dc2", "metadata": {}, "source": [ "#### All substeps of the 3rd step\n", "For the 3rd and last step, we perform the reset and initialization of the auxiliary qubit as done in the second step.\n", "\n", "Then at the 3rd step we have to perform the phase correction of $-2\\pi 0.0\\varphi_{2}\\varphi_{3}= -2\\pi \\left(\\frac{\\varphi_2}{4}+\\frac{\\varphi_3}{8}\\right)=-\\frac{\\varphi_2\\pi}{2}-\\frac{ \\varphi_3\\pi}{4}$, thus we have to apply 2 conditioned phase corrections, one conditioned by $\\varphi_3$ ($=c_0$) and the other by $\\varphi_2$($=c_1$). To do this we have to apply the following:\n", "- gate $P(-\\pi/4)$ conditioned by $c_0=1$, that is, by $c=001$ (``c_if`` with value $1$)\n", "- gate $P(-\\pi/2)$ conditioned by $c_1=1$, that is, the gate is applied when $c=010$ (``c_if`` with values $2$)\n", "- gate $P(-3\\pi/4)$ conditioned by $c_1=1$ and $c_0=1$ that is, the gate is applied when $c=011$ (``c_if`` with values $3$)\n", "\n", "Next, the $CU$ operations: we apply $2^t$ times the $\\text{MCP}(\\pi/4)$ gate and since at the 3rd step $t=m-3=0$, we apply the gate only once." ] }, { "cell_type": "code", "execution_count": 24, "id": "fee5769f", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# initialization of qubit q0\n", "qc.reset(0)\n", "qc.h(0)\n", "\n", "# phase correction\n", "qc.p(-pi/4, 0).c_if(c, 1)\n", "\n", "qc.p(-pi/2, 0).c_if(c, 2)\n", "qc.p(-3*pi/2, 0).c_if(c, 3)\n", "\n", "# c-U operations\n", "for _ in range(2 ** (m - 3)):\n", " qc.mcp(pi/4, [0, 1], 2)\n", "\n", "# X measurement \n", "qc.h(0)\n", "qc.measure(0, 2)\n", "\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "id": "f32900a5", "metadata": {}, "source": [ "Now, we execute the circuit with the simulator without noise." ] }, { "cell_type": "code", "execution_count": 25, "id": "c6e0a06f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "result = sampler.run(qc).result()\n", "dist0 = result.quasi_dists[0]\n", "\n", "key_new = [str(key/2**m) for key in list(dist0.keys())]\n", "dist1 = dict(zip(key_new, dist0.values()))\n", "\n", "fig, ax = plt.subplots(1,2)\n", "plot_histogram(dist0, ax=ax[0])\n", "plot_histogram(dist1, ax=ax[1])\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "a992b916", "metadata": {}, "source": [ "We have obtained $100\\%$ probability to find $\\varphi=0.125$, that is, $1/8$, as expected." ] }, { "cell_type": "code", "execution_count": 26, "id": "7280b7b7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.23.0.dev0+1b4fed3
qiskit-aer0.11.1
qiskit-nature0.5.0
System information
Python version3.9.13
Python compilerClang 12.0.0
Python buildmain, Oct 13 2022 16:12:30
OSDarwin
CPUs4
Memory (Gb)32.0
Fri Dec 09 16:18:07 2022 CET
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 } ================================================ FILE: tutorials/algorithms/10_pvqd.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Projected Variational Quantum Dynamics\n", "\n", "The projected Variational Quantum Dynamics (p-VQD) algorithm is a quantum algorithm for real time evolution. It's a variational algorithm that projects the state at time $t + \\Delta_t$, as calculated with Trotterization, onto a parameterized quantum circuit. \n", "\n", "For a quantum state $|\\phi(\\theta)\\rangle = U(\\theta)|0\\rangle$ constructed by a parameterized quantum circuit $U(\\theta)$ and a Hamiltonian $H$, the update rule can be written as\n", "\n", "$$\n", "\\theta_{n+1} = \\theta_n + \\arg\\min_{\\delta\\theta} 1 - |\\langle\\phi(\\theta_n + \\delta\\theta)|e^{-i\\Delta_t H}|\\phi(\\theta_n)\\rangle|^2,\n", "$$\n", "\n", "where $e^{-i\\Delta_t H}$ is calculated with a Trotter expansion (using e.g. the [`PauliEvolutionGate`](https://qiskit.org/documentation/stubs/qiskit.circuit.library.PauliEvolutionGate.html) in Qiskit!).\n", "\n", "The following tutorial explores the p-VQD algorithm in Qiskit, which is implemented available as `qiskit.algorithms.time_evolvers.PVQD`. For details on the algorithm, see the original paper: [Barison et al. Quantum 5, 512 (2021)](https://quantum-journal.org/papers/q-2021-07-28-512/#)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The example we're looking at is the time evolution of the $|00\\rangle$ state under the Hamiltonian\n", "\n", "$$\n", " H = 0.1 Z_1 Z_2 + X_1 + X_2,\n", "$$\n", "\n", "which is an Ising Hamiltonian on two neighboring spins, up to a time $T=1$, where we want to keep track of the total magnetization $M = Z_1 + Z_2$ as an observable." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from qiskit.quantum_info import SparsePauliOp\n", "\n", "final_time = 1\n", "hamiltonian = SparsePauliOp.from_sparse_list([\n", " (\"ZZ\", [0, 1], 0.1), (\"X\", [0], 1), (\"X\", [1], 1),\n", "], num_qubits=2)\n", "observable = SparsePauliOp([\"ZI\", \"IZ\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After defining our Hamiltonian and observable, we need to choose the parameterized ansatz we project the update steps onto. We have different choices here, but for real time evolution an ansatz that contains building blocks of the evolved Hamiltonian usually performs very well." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.circuit import QuantumCircuit, ParameterVector\n", "\n", "theta = ParameterVector(\"th\", 5)\n", "ansatz = QuantumCircuit(2)\n", "ansatz.rx(theta[0], 0)\n", "ansatz.rx(theta[1], 1)\n", "ansatz.rzz(theta[2], 0, 1)\n", "ansatz.rx(theta[3], 0)\n", "ansatz.rx(theta[4], 1)\n", "\n", "# you can try different circuits, like:\n", "# from qiskit.circuit.library import EfficientSU2\n", "# ansatz = EfficientSU2(2, reps=1)\n", "\n", "ansatz.draw(\"mpl\", style=\"iqx\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With this ansatz, the $|00\\rangle$ state is prepared if all parameters are 0. Hence we'll set the initial parameters to $\\theta_0 = 0$:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "initial_parameters = np.zeros(ansatz.num_parameters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before running the p-VQD algorithm, we need to select the backend and how we want to calculate the expectation values. Here, we'll perform exact statevector simulations (which are still very fast, as we investigate a 2 qubit system) through the reference primitive implementations found in `qiskit.primitives`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from qiskit.primitives import Sampler, Estimator\n", "from qiskit.algorithms.state_fidelities import ComputeUncompute\n", "\n", "# the fidelity is used to evaluate the objective: the overlap of the variational form and the trotter step\n", "sampler = Sampler()\n", "fidelity = ComputeUncompute(sampler)\n", "\n", "# the estimator is used to evaluate the observables\n", "estimator = Estimator()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since p-VQD performs a classical optimization in each timestep to determine the best parameters for the projection, we also have to specify the classical optimizer. As a first example we're using BFGS, which typically works well in statevector simulations, but later we can switch to gradient descent." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from qiskit.algorithms.optimizers import L_BFGS_B\n", "\n", "bfgs = L_BFGS_B()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can define p-VQD and execute it!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from qiskit.algorithms.time_evolvers.pvqd import PVQD\n", "\n", "pvqd = PVQD(\n", " fidelity,\n", " ansatz, \n", " initial_parameters, \n", " estimator=estimator,\n", " num_timesteps=100, \n", " optimizer=bfgs\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The p-VQD implementation follows Qiskit's time evolution interface, thus we pack all information of the evolution problem into an input class: the `hamiltonian` under which we evolve the state, the `final_time` of the evolution and the observables (`aux_operators`) we keep track of." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "from qiskit.algorithms.time_evolvers.time_evolution_problem import TimeEvolutionProblem\n", "\n", "problem = TimeEvolutionProblem(hamiltonian, time=final_time, aux_operators=[hamiltonian, observable])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then run the algorithm!" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "result = pvqd.evolve(problem)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can have a look at the results, which are stored in a `PVQDResult` object. This class has the fields\n", "\n", "* `evolved_state`: The quantum circuit with the parameters at the final evolution time.\n", "* `times`: The timesteps of the time integration. At these times we have the parameter values and evaluated the observables.\n", "* `parameters`: The parameter values at each timestep.\n", "* `observables`: The observable values at each timestep.\n", "* `fidelities`: The fidelity of projecting the Trotter timestep onto the variational form at each timestep.\n", "* `estimated_error`: The estimated error as product of all fidelities." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The energy should be constant in a real time evolution. However, we are projecting the time-evolved state onto a variational form, which might violate this rule. Ideally the energy is still more or less constant. In this evolution here we observe shifts of ~5% of the energy." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Energy over time')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "energies = np.real(result.observables)[:, 0]\n", "\n", "plt.plot(result.times, energies, color=\"royalblue\")\n", "plt.xlabel(\"time $t$\")\n", "plt.ylabel(\"energy $E$\")\n", "plt.title(\"Energy over time\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we also kept track of the total magnetization of the system, we can plot that quantity too. However let's first compute exact reference values to verify our algorithm results." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "import scipy as sc\n", "\n", "def exact(final_time, timestep, hamiltonian, initial_state):\n", " \"\"\"Get the exact values for energy and the observable.\"\"\"\n", " O = observable.to_matrix()\n", " H = hamiltonian.to_matrix()\n", " \n", " energ, magn = [], [] # list of energies and magnetizations evaluated at timesteps timestep\n", " times = [] # list of timepoints at which energy/obs are evaluated\n", " time = 0\n", " while time <= final_time:\n", " # get exact state at time t\n", " exact_state = initial_state.evolve(sc.linalg.expm(-1j * time * H))\n", " # store observables and time\n", " times.append(time)\n", " energ.append(exact_state.expectation_value(H).real)\n", " magn.append(exact_state.expectation_value(observable).real)\n", "\n", " # next timestep\n", " time += timestep\n", "\n", " return times, energ, magn" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from qiskit.quantum_info import Statevector\n", "\n", "initial_state = Statevector(ansatz.bind_parameters(initial_parameters))\n", "exact_times, exact_energies, exact_magnetizations = exact(final_time, 0.01, hamiltonian, initial_state)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "magnetizations = np.real(result.observables)[:, 1]\n", "\n", "plt.plot(result.times, magnetizations.real, color=\"crimson\", label=\"PVQD\")\n", "plt.plot(exact_times, exact_magnetizations, \":\", color=\"k\", label=\"Exact\")\n", "plt.xlabel(\"time $t$\")\n", "plt.ylabel(r\"magnetization $\\langle Z_1 Z_2 \\rangle$\")\n", "plt.title(\"Magnetization over time\")\n", "plt.legend(loc=\"best\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks pretty good!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gradient-based optimizations\n", "\n", "The `PVQD` class also implements parameter-shift gradients for the loss function and we can use a gradient descent optimization routine\n", "\n", "$$\n", " \\theta_{k+1} = \\theta_{k} - \\eta_k \\nabla\\ell(\\theta_k).\n", "$$\n", "\n", "Here we're using a learning rate of \n", "\n", "$$\n", " \\eta_k = 0.1 k^{-0.602}\n", "$$\n", "and 80 optimization steps in each timestep." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": true }, "outputs": [], "source": [ "from qiskit.algorithms.optimizers import GradientDescent\n", "\n", "maxiter = 80\n", "learning_rate = 0.1 * np.arange(1, maxiter + 1) ** (-0.602)\n", "gd = GradientDescent(maxiter, lambda: iter(learning_rate))" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "pvqd.optimizer = gd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following cell would take a few minutes to run for 100 timesteps, so we reduce them here." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "n = 10\n", "pvqd.num_timesteps = n\n", "problem.time = 0.1" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "result_gd = pvqd.evolve(problem)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Energy over time')" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "energies_gd = np.real(result_gd.observables)[:, 0]\n", "\n", "plt.plot(result.times[:n + 1], energies[:n + 1], \"-\", color=\"royalblue\", label=\"BFGS\")\n", "plt.plot(result_gd.times, energies_gd, \"--\", color=\"royalblue\", label=\"Gradient descent\")\n", "plt.plot(exact_times[:n + 1], exact_energies[:n + 1], \":\", color=\"k\", label=\"Exact\")\n", "plt.legend(loc=\"best\")\n", "plt.xlabel(\"time $t$\")\n", "plt.ylabel(\"energy $E$\")\n", "plt.title(\"Energy over time\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can observe here, that the energy does vary quite a bit! But as we mentioned before, p-VQD does not preserve the energy." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Magnetization over time')" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "magnetizations_gd = np.real(result_gd.observables)[:, 1]\n", "\n", "plt.plot(result.times[:n + 1], magnetizations[:n + 1], \"-\", color=\"crimson\", label=\"BFGS\")\n", "plt.plot(result_gd.times, magnetizations_gd, \"--\", color=\"crimson\", label=\"Gradient descent\")\n", "plt.plot(exact_times[:n + 1], exact_magnetizations[:n + 1], \":\", color=\"k\", label=\"Exact\")\n", "plt.legend(loc=\"best\")\n", "plt.xlabel(\"time $t$\")\n", "plt.ylabel(r\"magnetization $\\langle Z_1 + Z_2 \\rangle$\")\n", "plt.title(\"Magnetization over time\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The magnetization, however, is computed very precisely." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.24.0.dev0+d814ad4
qiskit-aer0.11.1
qiskit-ignis0.7.1
qiskit-ibmq-provider0.19.2
qiskit-nature0.6.0
qiskit-finance0.3.4
qiskit-optimization0.6.0
qiskit-machine-learning0.6.0
System information
Python version3.10.4
Python compilerClang 12.0.0
Python buildmain, Mar 31 2022 03:38:35
OSDarwin
CPUs4
Memory (Gb)32.0
Tue May 09 13:16:11 2023 CEST
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2023.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.4" } }, "nbformat": 4, "nbformat_minor": 4 } ================================================ FILE: tutorials/algorithms/11_VarQTE.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "source": [ "# Variational Quantum Time Evolution\n", "This notebook demostrates how to use Qiskit’s implementation of the Variational Quantum Time Evolution (VarQTE) algorithm for computing the time evolving state under a given Hamiltonian. Specifically, it introduces variational quantum imaginary and real time evolution based on McLachlan's variational principle, and shows how this can be leveraged using the `algorithms.time_evolvers.variational` sub-module." ], "metadata": { "id": "lTiEsmieVAf-" } }, { "cell_type": "markdown", "metadata": { "id": "Zw5nQ9h0xVqF" }, "source": [ "## Introduction\n", "`VarQTE` is a quantum algorithm that simulates the time evolving state under given Hamiltonian ([Yuan et al. Quantum 3, 191](https://quantum-journal.org/papers/q-2019-10-07-191/)). For a quantum closed system's Hamiltonian $H$, the time evolving $\\rho$ density matrix follows the equation below\n", "\n", "$$\\frac{d\\rho}{dt}=\\mathcal{L}\\left(\\rho\\right)$$\n", "\n", "where $\\mathcal{L}\\left(\\rho\\right)=-i[H,\\rho]$ for real time dynamics and $\\mathcal{L}\\left(\\rho\\right)=-[H,\\rho]$ for imaginary time dynamics. The corresponding state $\\psi[\\theta(t)]$ is parameterized by time dependent $\\theta(t)$. Using McLachlan variational principle, the algorithm updates the parameters by minimizing the distance between the right hand side and left hand side of the equation above. This is called the McLachlan's distance $L$ , and defined as\n", "\n", "$$L\\equiv\\left\\Vert \\sum_{i}\\frac{\\partial\\rho\\left[\\theta\\right]}{\\partial\\theta_{i}}\\dot{\\theta}_{i}-\\mathcal{L}\\left(\\rho\\right)\\right\\Vert _{F}$$\n", "\n", "where $\\left\\Vert M\\right\\Vert _{F}=\\sqrt{M^{\\dagger}M}$ is the Frobenius norm of the matrix $M$. The equivalent way is to minimize the squared distance\n", "\n", "$$\\left\\Vert \\sum_{i}\\frac{\\partial\\rho\\left[\\theta\\right]}{\\partial\\theta_{i}}\\dot{\\theta}_{i}-\\mathcal{L}\\left(\\rho\\right)\\right\\Vert _{F}^{2}=\\sum_{i,j}F_{ij}\\dot{\\theta}_{i}\\dot{\\theta}_{j}-2\\sum_{i}V_{i}\\dot{\\theta}_{i}+\\text{Tr}\\left[\\mathcal{L}^{2}\\left(\\rho\\right)\\right]$$\n", "\n", "where\n", "\n", "$$F_{ij}=2\\text{Re}\\left[\\frac{\\partial\\left\\langle \\psi\\left[\\theta\\right]\\right|}{\\partial\\theta_{i}}\\frac{\\partial\\left|\\psi\\left[\\theta\\right]\\right\\rangle }{\\partial\\theta_{j}}+\\frac{\\partial\\left\\langle \\psi\\left[\\theta\\right]\\right|}{\\partial\\theta_{i}}\\left|\\psi\\left[\\theta\\right]\\right\\rangle \\left\\langle \\psi\\left[\\theta\\right]\\right|\\frac{\\partial\\left|\\psi\\left[\\theta\\right]\\right\\rangle }{\\partial\\theta_{j}}\\right]$$,\n", "\n", "and\n", "\n", "$$V_{i}=\\begin{cases}\n", "2\\text{Im}\\left[\\frac{\\partial\\left\\langle \\psi\\left[\\theta\\right]\\right|}{\\partial\\theta_{i}}H\\left|\\psi\\left[\\theta\\right]\\right\\rangle +\\left\\langle \\psi\\left[\\theta\\right]\\right|\\frac{\\partial\\left|\\psi\\left[\\theta\\right]\\right\\rangle }{\\partial\\theta_{i}}\\left\\langle H\\right\\rangle _{\\theta}\\right] & \\text{Real time}\\\\\n", "2\\text{Re}\\left[\\frac{\\partial\\left\\langle \\psi\\left[\\theta\\right]\\right|}{\\partial\\theta_{i}}H\\left|\\psi\\left[\\theta\\right]\\right\\rangle \\right] & \\text{Imaginary time}\n", "\\end{cases}$$.\n", "\n", "Minimizing $L^2$ with respect to $\\dot{\\theta}$ can lead to the equation of motion for $\\theta$\n", "\n", "$$\\sum_{ij}F_{ij}\\dot{\\theta}_{i}=V_{j}$$\n", "\n", "Solving this equation is equivalent to minimizing $L^2$, a variational approach that is more stable in simulation ([Yuan et al. Quantum 3, 191](https://quantum-journal.org/papers/q-2019-10-07-191/)). $F_{i,j}$ and $V_{j}$ can be calculated using a quantum circuit (more details in [Zoufal et al.](https://arxiv.org/abs/2108.00022) and [Yao et al.](https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.2.030307)), and the classical computer can minimize $L^2$ to get the variational parameters for the next time step.\n", "In this tutorial, we focus on how to use Qiskit's implementation of the `VarQTE` algorithm.\n", "\n" ] }, { "cell_type": "markdown", "source": [ "## Running VarQTE" ], "metadata": { "id": "caoBgyluhQ3L" } }, { "cell_type": "markdown", "source": [ "In this tutorial, we will use two Qiskit classes that extend `VarQTE`, `VarQITE` ([Variational Quantum Imaginary Time Evolution](https://qiskit.org/documentation/stubs/qiskit.algorithms.VarQITE.html#qiskit.algorithms.VarQITE)) and `VarQRTE` ([Variational Quantum Real Time Evolution](https://qiskit.org/documentation/stubs/qiskit.algorithms.VarQRTE.html#qiskit.algorithms.VarQRTE)) for time evolution.\n", "We can use a simple Ising model on a spin chain to illustrate this. Let us consider the following Hamiltonian:\n", "\n", "$$H = -J\\sum_{i=0}^{L-2}Z_{i}Z_{i+1} - h\\sum_{i=0}^{L-1}X_i$$\n", "\n", "where $J$ stands for the interaction energy, and\n", "$h$ represents an external field which is orthogonal to the transverse direction. $Z_i$ and $X_i$ are the Pauli operators on the spins. Taking $L=2$, $J=0.2$, and $h =1$, the Hamiltonian and the magnetization $\\sum_i Z_i$ can be constructed using `SparsePauliOp` as follows:" ], "metadata": { "id": "WG-18slyLnVM" } }, { "cell_type": "code", "execution_count": 2, "metadata": { "id": "6B0nZEDh0EqI" }, "outputs": [], "source": [ "from qiskit.quantum_info import SparsePauliOp\n", "\n", "hamiltonian = SparsePauliOp(['ZZ', 'IX', 'XI'],\n", " coeffs=[-0.2 , -1, -1])\n", "\n", "magnetization = SparsePauliOp([ 'IZ', 'ZI'], coeffs=[1, 1])" ] }, { "cell_type": "markdown", "metadata": { "id": "Y_9Jskw4m8nF" }, "source": [ "# Imaginary Time Evolution\n", "\n", "Imaginary time evolution can be used, for example, to find the ground state or calculate the finite temperature expectation value of the system. Here, we will use the `VarQITE` class from `algorithms.time_evolvers.variational` to compute a ground state energy. Firstly, we need to choose an ansatz. We can use `EfficientSU2` to easily construct an ansatz, setting the number of repetitions using `reps`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 191 }, "id": "0fyXDwr10KqA", "outputId": "8df79033-2b4e-40cc-96a4-081300d579a9" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "
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\n" }, "metadata": {}, "execution_count": 3 } ], "source": [ "from qiskit.circuit.library import EfficientSU2\n", "\n", "ansatz = EfficientSU2(hamiltonian.num_qubits, reps=1)\n", "ansatz.decompose().draw('mpl')" ] }, { "cell_type": "markdown", "metadata": { "id": "TZEbbCfg_JLq" }, "source": [ "Here, we prepare a dictionary to store the initial parameters we set up, which determine the initial state." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "id": "Ju2SO4sZ0R3P" }, "outputs": [], "source": [ "import numpy as np\n", "\n", "init_param_values={}\n", "for i in range(len(ansatz.parameters)):\n", " init_param_values[ansatz.parameters[i]]=np.pi/2" ] }, { "cell_type": "markdown", "metadata": { "id": "2VzjiBc0EeRb" }, "source": [ "Note that the initial state should be in overlap with the ground state.\n", "\n", "Next, we choose `ImaginaryMcLachlanPrinciple` as the variational principle we'll use later." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "id": "zK934ZfdEJtG" }, "outputs": [], "source": [ "from qiskit.algorithms.time_evolvers.variational import ImaginaryMcLachlanPrinciple\n", "\n", "var_principle = ImaginaryMcLachlanPrinciple()" ] }, { "cell_type": "markdown", "metadata": { "id": "4gOIKzLYFaCP" }, "source": [ "We set a target imaginary time $t=5$, and set the Hamiltonian as an auxiliary operator. We create a `TimeEvolutionProblem` instance with `hamiltonian`, `time`, and `aux_operators` as arguments." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "id": "_4LN_OIB0Vn0" }, "outputs": [], "source": [ "from qiskit.algorithms import TimeEvolutionProblem\n", "\n", "time = 5.0\n", "aux_ops = [hamiltonian]\n", "evolution_problem = TimeEvolutionProblem(hamiltonian, time, aux_operators=aux_ops)" ] }, { "cell_type": "markdown", "metadata": { "id": "bhGjcZzsGcFa" }, "source": [ "We now use the `VarQITE` class to calculate the imaginary time evolving state. We can use `VarQITE.evolve` to get the results. Note this cell may take around $1.5$ minutes to finish." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "id": "T2jv73lRGbHt" }, "outputs": [], "source": [ "from qiskit.algorithms import VarQITE\n", "from qiskit.primitives import Estimator\n", "\n", "var_qite = VarQITE(ansatz, init_param_values, var_principle, Estimator()) \n", "# an Estimator instance is necessary, if we want to calculate the expectation value of auxiliary operators.\n", "evolution_result = var_qite.evolve(evolution_problem)" ] }, { "cell_type": "markdown", "metadata": { "id": "5oFggUXMktgG" }, "source": [ "## Exact Classical Solution\n", "In order to check whether our calculation using `VarQITE` is correct or not, we also call `SciPyImaginaryEvolver` to help us calculate the exact solution.\n", "\n", "Firstly, we can use `qiskit.quantum_info.Statevector` to help us get the statevector from the quantum circuit." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "id": "nF6lJqEZkz2f" }, "outputs": [], "source": [ "from qiskit.quantum_info import Statevector\n", "\n", "init_state = Statevector(ansatz.assign_parameters(init_param_values))" ] }, { "cell_type": "markdown", "source": [ "Then we can set up the evolving problem using `SciPyImaginaryEvolver`. Here we set number of time steps as $501$." ], "metadata": { "id": "SUWse0TNkfky" } }, { "cell_type": "code", "source": [ "from qiskit.algorithms import SciPyImaginaryEvolver\n", "\n", "evolution_problem = TimeEvolutionProblem(hamiltonian, time, initial_state=init_state, aux_operators=aux_ops)\n", "exact_evol = SciPyImaginaryEvolver(num_timesteps=501)\n", "sol = exact_evol.evolve(evolution_problem)" ], "metadata": { "id": "ZX89FSpmkhd7" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "afbae447lVAR" }, "source": [ "## Results and Comparison\n", "\n", "We use `evolution_result.observables` to get the variation over time of the expectation values of the Hamiltonian." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "cCWhV-2y765c", "outputId": "5562be51-75fa-4a4e-a4dc-292c2d9b22f6" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "import pylab\n", "\n", "h_exp_val = np.array([ele[0][0] for ele in evolution_result.observables])\n", "\n", "exact_h_exp_val = sol.observables[0][0].real\n", "\n", "times = evolution_result.times\n", "pylab.plot(times, h_exp_val, label= \"VarQITE\")\n", "pylab.plot(times, exact_h_exp_val , label= \"Exact\", linestyle='--')\n", "pylab.xlabel(\"Time\")\n", "pylab.ylabel(r\"$\\langle H \\rangle$ (energy)\")\n", "pylab.legend(loc=\"upper right\");" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "-2uSBEO83vU3", "outputId": "369b4864-f0b0-4096-8a59-4d104bf841b1" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Ground state energy -2.0097479079521197\n" ] } ], "source": [ "print(\"Ground state energy\", h_exp_val[-1])" ] }, { "cell_type": "markdown", "metadata": { "id": "8dp41GBm3TIS" }, "source": [ "As the above figure indicates, we have obtained the converged ground state energy." ] }, { "cell_type": "markdown", "metadata": { "id": "zSGo5QcUlePi" }, "source": [ "## Efficient classical calculation of gradients with VarQITE\n", "\n", "You can use classically efficient gradient calculations to speed up the time evolution simulation by setting `qgt` to `ReverseQGT()` and `gradient` to `ReverseEstimatorGradient()`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "id": "6PzxWQyIld-T" }, "outputs": [], "source": [ "from qiskit.algorithms.gradients import ReverseEstimatorGradient, ReverseQGT\n", "\n", "var_principle = ImaginaryMcLachlanPrinciple(qgt = ReverseQGT() , gradient = ReverseEstimatorGradient())\n", "evolution_problem = TimeEvolutionProblem(hamiltonian, time, aux_operators=aux_ops)\n", "var_qite = VarQITE(ansatz, init_param_values, var_principle, Estimator())\n", "evolution_result_eff = var_qite.evolve(evolution_problem)" ] }, { "cell_type": "markdown", "metadata": { "id": "S8mtNpT5NirQ" }, "source": [ "In this example, it takes only $1$ minute to calculate imaginary time evolution. The execution time is reduced by about 33% (this may vary for each execution, but generally results in a speedup)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "pvmRXMXxBz2H", "outputId": "11962fe6-96d6-4aa4-c4b4-6fcbbf65515d" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "h_exp_val_eff = np.array([ele[0][0] for ele in evolution_result_eff.observables])\n", "\n", "exact_h_exp_val_eff = sol.observables[0][0].real\n", "\n", "times = evolution_result_eff.times\n", "pylab.plot(times, h_exp_val_eff, label= r\"VarQITE$_{eff}$\")\n", "pylab.plot(times, exact_h_exp_val_eff , label= \"Exact\", linestyle='--')\n", "pylab.xlabel(\"Time\")\n", "pylab.ylabel(r\"$\\langle H \\rangle$ (energy)\")\n", "pylab.legend(loc=\"upper right\");" ] }, { "cell_type": "markdown", "source": [ "We can also get a converged result, which is consistent with the previous one." ], "metadata": { "id": "3yZ_CTqK0-Oy" } }, { "cell_type": "code", "source": [ "print(\"Ground state energy\", h_exp_val_eff[-1])" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "_OxkX7wv03db", "outputId": "04a87fdc-e2e0-4cb6-eb96-1c6e9057d28f" }, "execution_count": 14, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Ground state energy -2.0097479079521183\n" ] } ] }, { "cell_type": "markdown", "metadata": { "id": "ed9_4HhXLE_A" }, "source": [ "\n", "\n", "Let us compare the performance of different methods. The error is defined as the difference between the results and exact solution for each method." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "PpDLxpZdpFhA", "outputId": "7d7acfef-27f8-47fa-c464-4ab0e15a4267" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "pylab.plot(times, (h_exp_val-exact_h_exp_val), label= \"VarQITE\")\n", "pylab.plot(times, (h_exp_val_eff-exact_h_exp_val_eff), label= r\"VarQITE$_{eff}$\", linestyle='--')\n", "pylab.xlabel(\"Time\")\n", "pylab.ylabel(r\"$\\Delta \\langle H \\rangle$\")\n", "pylab.legend(loc=\"upper right\");" ] }, { "cell_type": "markdown", "metadata": { "id": "ejlBv7Qi0C1-" }, "source": [ "In this task, the accuracies of `VarQITE` with both gradient methods are very close, but `ReverseEstimatorGradient()` takes a considerably shorter time to run. \n", "\n", "We can do the same comparison for `VarQRTE` for simulating the magnetization of the Ising model." ] }, { "cell_type": "markdown", "metadata": { "id": "m-tp9kdHmy55" }, "source": [ "# Real Time Evolution\n", "Real time evolution is more suitable for tasks such as simulating quantum dynamics. For example, one can use `VarQRTE` to get time evolving expectation values of the magnetization.\n" ] }, { "cell_type": "markdown", "metadata": { "id": "TPGhF7xfodnT" }, "source": [ "## VarQRTE\n", "Again, the first step is to select an ansatz." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 191 }, "id": "l7hz6wSLnZx3", "outputId": "b23ea3f0-d19c-4def-a494-72fa0d5d40cf" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {}, "execution_count": 16 } ], "source": [ "ansatz = EfficientSU2(hamiltonian.num_qubits, reps=1)\n", "ansatz.decompose().draw('mpl')" ] }, { "cell_type": "markdown", "source": [ "We set all initial parameters as $\\frac{\\pi}{2}$." ], "metadata": { "id": "Hil3c_xfubIw" } }, { "cell_type": "code", "execution_count": 17, "metadata": { "id": "thWw2mahnipB" }, "outputs": [], "source": [ "init_param_values = {}\n", "\n", "for i in range(len(ansatz.parameters)):\n", " init_param_values[ansatz.parameters[i]] = np.pi/2 # initialize the parameters which also decide the initial state" ] }, { "cell_type": "markdown", "source": [ "We also define an initial state:" ], "metadata": { "id": "i18irpxD4ETl" } }, { "cell_type": "code", "source": [ "init_state = Statevector(ansatz.assign_parameters(init_param_values))\n", "print(init_state)" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "4AsVk0Gj3-KQ", "outputId": "60460d22-a873-4c1c-a034-a5b62c305526" }, "execution_count": 18, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Statevector([-5.00000000e-01+0.00000000e+00j,\n", " -5.00000000e-01-5.55111512e-17j,\n", " 0.00000000e+00-5.00000000e-01j,\n", " 1.66533454e-16+5.00000000e-01j],\n", " dims=(2, 2))\n" ] } ] }, { "cell_type": "markdown", "source": [ "In order to use the real time McLachlan principle, we instantiate the `RealMcLachlanPrinciple` class." ], "metadata": { "id": "-ee7tApy4lsp" } }, { "cell_type": "code", "source": [ "from qiskit.algorithms.time_evolvers.variational import RealMcLachlanPrinciple\n", "\n", "var_principle = RealMcLachlanPrinciple()" ], "metadata": { "id": "U8ytm_9g4kkx" }, "execution_count": 19, "outputs": [] }, { "cell_type": "markdown", "metadata": { "id": "qknpQG8LFRdX" }, "source": [ "We also set the target time as $t=10$, and set the auxiliary operator to be the magnetization operator. The following steps are similar to `VarQITE`.\n" ] }, { "cell_type": "code", "source": [ "aux_ops = [magnetization]" ], "metadata": { "id": "Yh7vyZr62ubD" }, "execution_count": 20, "outputs": [] }, { "cell_type": "code", "execution_count": 21, "metadata": { "id": "-o2B3533nqsU" }, "outputs": [], "source": [ "from qiskit.algorithms import VarQRTE\n", "\n", "time = 10.0\n", "evolution_problem = TimeEvolutionProblem(hamiltonian, time, aux_operators=aux_ops)\n", "var_qrte = VarQRTE(ansatz, init_param_values,var_principle, Estimator())\n", "evolution_result_re = var_qrte.evolve(evolution_problem)" ] }, { "cell_type": "markdown", "source": [ "We can also obtain the exact solution with `SciPyRealEvolver`. We first create the corresponding initial state for the exact classical method." ], "metadata": { "id": "ByiDyBuia1fN" } }, { "cell_type": "code", "execution_count": 22, "metadata": { "id": "yDWL-Zd5oQwH" }, "outputs": [], "source": [ "init_circ = ansatz.assign_parameters(init_param_values)" ] }, { "cell_type": "markdown", "source": [ "`SciPyRealEvolver` can help us get the classical exact result." ], "metadata": { "id": "SimuqpjpbHuU" } }, { "cell_type": "code", "execution_count": 23, "metadata": { "id": "ac4twWUqonXm" }, "outputs": [], "source": [ "from qiskit.algorithms import SciPyRealEvolver\n", "\n", "evolution_problem = TimeEvolutionProblem(hamiltonian, time, initial_state = init_circ, aux_operators=aux_ops)\n", "rtev = SciPyRealEvolver(1001)\n", "sol = rtev.evolve(evolution_problem)" ] }, { "cell_type": "markdown", "source": [ "We can compare the results, where $m_z$ represents the magnetization." ], "metadata": { "id": "M2hl_f2Y67tu" } }, { "cell_type": "code", "execution_count": 25, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "02oeqzHDotYT", "outputId": "2b95d596-f9be-43cc-f1f0-18c1f13dc47d" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "mz_exp_val_re = np.array([ele[0][0] for ele in evolution_result_re.observables])\n", "exact_mz_exp_val_re = sol.observables[0][0].real\n", "times = evolution_result_re.times\n", "pylab.plot(times, mz_exp_val_re, label= \"VarQRTE\")\n", "pylab.plot(times, exact_mz_exp_val_re , label= \"Exact\", linestyle='--')\n", "pylab.xlabel(\"Time\")\n", "pylab.ylabel(r\"$\\langle m_z \\rangle$\")\n", "pylab.legend(loc=\"upper right\");" ] }, { "cell_type": "markdown", "source": [ "## Efficient Way to run VarQRTE\n", "\n", "Similarly, we can set `qpt` as `ReverseQGT()` and `gradient` as `ReverseEstimatorGradient()` to speed up the calculation." ], "metadata": { "id": "korN4ZZv8j_8" } }, { "cell_type": "code", "source": [ "var_principle = RealMcLachlanPrinciple(qgt = ReverseQGT() , gradient = ReverseEstimatorGradient())\n", "time = 10.0\n", "evolution_problem = TimeEvolutionProblem(hamiltonian, time, aux_operators=aux_ops)\n", "var_qrte = VarQRTE(ansatz, init_param_values,var_principle, Estimator())\n", "evolution_result_re_eff = var_qrte.evolve(evolution_problem)" ], "metadata": { "id": "gnBS19NQ85cn" }, "execution_count": 27, "outputs": [] }, { "cell_type": "code", "source": [ "mz_exp_val_re_eff = np.array([ele[0][0] for ele in evolution_result_re_eff.observables])\n", "pylab.plot(times, mz_exp_val_re_eff, label= r\"VarQRTE$_{eff}$\")\n", "pylab.plot(times, exact_mz_exp_val_re , label= \"Exact\", linestyle='--')\n", "pylab.xlabel(\"Time\")\n", "pylab.ylabel(r\"$\\langle m_z \\rangle$\")\n", "pylab.legend(loc=\"upper right\");" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "IriOFWu89iTX", "outputId": "1160c308-3d08-490f-a595-325433794117" }, "execution_count": 28, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ] }, { "cell_type": "markdown", "source": [ "Again, the accuracies of `VarQRTE` with both gradient methods are very similar, while the `ReverseEstimatorGradient()` shows a speedup of about $21\\%$ in this execution." ], "metadata": { "id": "-IHBehQVAfZm" } }, { "cell_type": "code", "execution_count": 29, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "ESuUu7jILMQn", "outputId": "e3f76d34-ef66-47d8-f4a4-9f20713ba8e7" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "pylab.plot(times, (mz_exp_val_re-exact_mz_exp_val_re), label= \"VarQRTE\")\n", "pylab.plot(times, (mz_exp_val_re_eff-exact_mz_exp_val_re), label= r\"VarQRTE$_{eff}$\", linestyle='--')\n", "pylab.xlabel(\"Time\")\n", "pylab.ylabel(r\"$\\Delta \\langle m_z \\rangle$\")\n", "pylab.legend(loc=\"upper right\");" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 555 }, "id": "tFR-8_hIvuwz", "outputId": "d9c1cc74-52e6-47be-e57c-26e032104636" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "" ], "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.24.1
qiskit-aer0.12.0
qiskit-ibmq-provider0.20.2
qiskit0.43.1
System information
Python version3.10.12
Python compilerGCC 9.4.0
Python buildmain, Jun 7 2023 12:45:35
OSLinux
CPUs1
Memory (Gb)12.678398132324219
Fri Jun 16 00:10:15 2023 UTC
" ] }, "metadata": {} }, { "output_type": "display_data", "data": { "text/plain": [ "" ], "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2023.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ] }, "metadata": {} } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "colab": { "provenance": [] }, "kernelspec": { "display_name": "Python 3", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 0 } ================================================ FILE: tutorials/algorithms/12_gradients_framework.ipynb ================================================ { "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Qiskit Gradient Framework using Primitives\n", "This tutorial demonstrates the use of the `qiskit.algorithms.gradients` module to evaluate quantum gradients using the [Qiskit Primitives](https://qiskit.org/documentation/apidoc/primitives.html).\n", "\n", "## Introduction\n", "The gradient frameworks allows the evaluation of quantum gradients (see [Schuld et al.](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.99.032331) and [Mari et al.](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.103.012405)). \n", "Besides gradients of expectation values of the form\n", "$$ \\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle $$\n", "and sampling probabilities of the form\n", "$$p_j(\\theta) = |\\langle j | \\psi(\\theta)\\rangle|^2$$\n", "the gradient frameworks also support the evaluation of the [Quantum Geometric Tensor](https://quantum-journal.org/papers/q-2020-05-25-269/) (QGT) and [Quantum Fisher Information](https://quantum-journal.org/papers/q-2021-09-09-539/) (QFI) of quantum states $|\\psi\\left(\\theta\\right)\\rangle$." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## A quick refresher on Qiskit Primitives\n", "\n", "The Qiskit Primitives work as an abstraction level between algorithms and (real/simulated) quantum devices. Instead of having to manually deal with tasks such as parameter binding or circuit transpilation, the `primitives` module offers a `Sampler` and an `Estimator` class that take the circuits, the observable Hamiltonians, and the circuit parameters and return the sampling distribution and the computed expectation values respectively.\n", "\n", "`qiskit.primitives` provides two classes for evaluating the circuit:\n", "- The `Estimator` class allows to evaluate expectation values of observables with respect to states prepared by quantum circuits.\n", "- The `Sampler` class returns quasi-probability distributions as a result of sampling quantum circuits." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## The `algorithms.gradients` Framework\n", "\n", "The `algorithms.gradients` module contains tools to compute both circuit gradients and circuit metrics. The gradients extend the `BaseEstimatorGradient` and `BaseSamplerGradient` base classes. These are abstract classes on top of which different gradient methods have been implemented. The methods currently available in this module are:\n", "- Parameter Shift Gradients\n", "- Finite Difference Gradients\n", "- Linear Combination of Unitaries Gradients\n", "- Simultaneous Perturbation Stochastic Approximation (SPSA) Gradients\n", "\n", "Additionally, the module offers reverse gradients for efficient classical computations.\n", "\n", "The metrics available are based on the notion of the Quantum Geometric Tensor (QGT). There is a `BaseQGT` class (`Estimator`-based) on top of which different QGT methods have been implemented:\n", "- Linear Comination of Unitaries QGT\n", "- Reverse QGT (classical)\n", "As well as a Quantum Fisher Information class (QFI) that is initialized with a reference QGT implementation from the above list." ] }, { "attachments": { "gradients_qiskit_algorithms.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![gradients_qiskit_algorithms.png](attachment:gradients_qiskit_algorithms.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
The outline of the qiskit.algorithms.gradients framework
" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Gradients\n", "\n", "\n", "Given a parameterized quantum state $|\\psi\\left(\\theta\\right)\\rangle = V\\left(\\theta\\right)|\\psi\\rangle$ with input state $|\\psi\\rangle$, , we want to compute either its expectation gradient $\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle$ or the gradient of the sampling probability $p_j(\\theta) = |\\langle j | \\psi(\\theta)\\rangle|^2$\n", "\n", "### Sampling gradients\n", "The formula for the gradient of sampling is:\n", "\n", "$$\\frac{\\partial}{\\partial \\theta} p_j(\\theta) = \\frac{\\partial}{\\partial \\theta} |\\langle j | \\psi(\\theta)\\rangle|^2 $$\n", "\n", "Thus, the output of the sampler gradient is a list of dictionaries, where each dictionary has entries for different values of $j$ in the formula above:\n", "\n", "```\n", "[{d/d theta_1 p_1: .., d/d theta_1 p_2, ..,}, {d/d theta_2 p_1: .., d/d theta_2 p_2, ..}, ..]\n", "```\n", "\n", "### Expectation gradients\n", "The formula for expectation gradient is:\n", "\n", "$$\\frac{\\partial}{\\partial \\theta} \\langle E \\rangle = \\frac{\\partial}{\\partial \\theta} \\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle $$\n", "\n", "Thus, the output format of the estimator gradient is a list of derivatives:\n", "```\n", "[d/d theta_1 , d/d theta_2 , ...]\n", "```" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Gradient Evaluation of Quantum Circuits \n", "- Let's say that we want to use one of our `Estimator` gradients classes, then we need a quantum state $\\vert\\psi(\\theta)\\rangle$ and a Hamiltonian H acting as an observable. For the Sampler gradients, we just need a quantum state." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- We then construct a list of the parameters for which we aim to evaluate the gradient." ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from qiskit.circuit import QuantumCircuit, QuantumRegister, Parameter\n", "from qiskit.quantum_info import SparsePauliOp\n", "import numpy as np\n", "\n", "#Instantiate the quantum circuit\n", "a = Parameter('a')\n", "b = Parameter('b')\n", "q = QuantumRegister(1)\n", "qc = QuantumCircuit(q)\n", "qc.h(q)\n", "qc.rz(a, q[0])\n", "qc.rx(b, q[0])\n", "\n", "display(qc.draw('mpl'))\n", "\n", "#Instantiate the Hamiltonian observable 2X+Z\n", "H = SparsePauliOp.from_list([('X', 2), ('Z',1)])\n", "\n", "#Parameter list\n", "params = [[np.pi / 4, 0]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now choose a gradient type to evaluate the gradient of the circuit ansatz." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Parameter Shift Gradients\n", "\n", "#### Using Estimator\n", "Given a Hermitian operator $g$ with two unique eigenvalues $\\pm r$ which acts as generator for a parameterized quantum gate $$G(\\theta)= e^{-i\\theta g}.$$\n", "Then, quantum gradients can be computed by using eigenvalue $r$ dependent shifts to parameters. \n", "All [standard, parameterized Qiskit gates](https://github.com/Qiskit/qiskit-terra/tree/master/qiskit/circuit/library/standard_gates) can be shifted with $\\pi/2$, i.e.,\n", " $$ \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta} = \n", " \\frac{\\langle\\psi\\left(\\theta+\\pi/2\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta+\\pi/2\\right)\\rangle -\\langle\\psi\\left(\\theta-\\pi/2\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta-\\pi/2\\right)\\rangle }{ 2}.$$" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "State estimator gradient computed with parameter shift [array([-1.41421356, 0.70710678])]\n" ] } ], "source": [ "from qiskit.primitives import Estimator\n", "from qiskit.algorithms.gradients import ParamShiftEstimatorGradient\n", "\n", "#Define the estimator\n", "estimator = Estimator()\n", "#Define the gradient\n", "gradient = ParamShiftEstimatorGradient(estimator)\n", "\n", "# Evaluate the gradient of the circuits using parameter shift gradients\n", "pse_grad_result = gradient.run(qc, H, params).result().gradients\n", "\n", "print('State estimator gradient computed with parameter shift', pse_grad_result)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "#### Using Sampler\n", "\n", "Following a similar logic to the estimator gradient, when we have a quantum state prepared by a quantum circuit, we can shift the parametrized gates by $\\pm \\pi/2$ and sample to compute the gradient of the sampling probability." ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Instantiate the quantum state with two parameters\n", "a = Parameter('a')\n", "b = Parameter('b')\n", "\n", "q = QuantumRegister(1)\n", "qc_sample = QuantumCircuit(q)\n", "qc_sample.h(q)\n", "qc_sample.rz(a, q[0])\n", "qc_sample.rx(b, q[0])\n", "qc_sample.measure_all() #important for sampler\n", "\n", "qc_sample.draw('mpl')" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "State sampler gradient computed with parameter shift [[{0: 0.35355339059327373, 1: -0.3535533905932736}, {0: 0.0, 1: 0.0}]]\n" ] } ], "source": [ "from qiskit.primitives import Sampler\n", "from qiskit.algorithms.gradients import ParamShiftSamplerGradient\n", "\n", "param_vals = [[np.pi/4, np.pi/2]]\n", "sampler = Sampler()\n", "gradient = ParamShiftSamplerGradient(sampler)\n", "pss_grad_result = gradient.run(qc_sample, param_vals).result().gradients\n", "print('State sampler gradient computed with parameter shift', pss_grad_result)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "> **Note:** All the following methods in this tutorial are explained using the `Estimator` class to evaluate the gradients, but, in an analogous way to the Parameter Shift gradients just introduced, the method explanation can also be applied to `Sampler`-based gradients. Both versions are available in `algorithms.gradients`." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Linear Combination of Unitaries Gradients\n", "Unitaries can be written as $U\\left(\\omega\\right) = e^{iM\\left(\\omega\\right)}$, where $M\\left(\\omega\\right)$ denotes a parameterized Hermitian matrix. \n", "Further, Hermitian matrices can be decomposed into weighted sums of Pauli terms, i.e., $M\\left(\\omega\\right) = \\sum_pm_p\\left(\\omega\\right)h_p$ with $m_p\\left(\\omega\\right)\\in\\mathbb{R}$ and $h_p=\\bigotimes\\limits_{j=0}^{n-1}\\sigma_{j, p}$ for $\\sigma_{j, p}\\in\\left\\{I, X, Y, Z\\right\\}$ acting on the $j^{\\text{th}}$ qubit. Thus, the gradients of \n", "$U_k\\left(\\omega_k\\right)$ are given by\n", "\n", "$$\\frac{\\partial U_k\\left(\\omega_k\\right)}{\\partial\\omega_k} = \\sum\\limits_pi \\frac{\\partial m_{k,p}\\left(\\omega_k\\right)}{\\partial\\omega_k}U_k\\left(\\omega_k\\right)h_{k_p}$$\n", "\n", "Combining this observation with a circuit structure presented in [Simulating physical phenomena by quantum networks](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.65.042323) allows us to compute the gradient with the evaluation of a single quantum circuit." ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "State estimator gradient computed with the linear combination method [array([-1.41421356, 0.70710678])]\n" ] } ], "source": [ "from qiskit.algorithms.gradients import LinCombEstimatorGradient\n", "\n", "# Evaluate the gradient of the circuits using linear combination of unitaries\n", "state_grad = LinCombEstimatorGradient(estimator)\n", "\n", "# Evaluate the gradient\n", "lce_grad_result = state_grad.run(qc, H, params).result().gradients\n", "print('State estimator gradient computed with the linear combination method', lce_grad_result)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Finite Difference Gradients\n", "\n", "Unlike the other methods, finite difference gradients are numerical estimations rather than analytical values.\n", "This implementation employs a central difference approach with $\\epsilon \\ll 1$\n", "$$ \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta} \\approx \\frac{1}{2\\epsilon} \\left(\\langle\\psi\\left(\\theta+\\epsilon\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta+\\epsilon\\right)\\rangle - \\partial\\langle\\psi\\left(\\theta-\\epsilon\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta-\\epsilon\\right)\\rangle\\right).$$\n", " Probability gradients are computed equivalently." ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "State estimator gradient computed with finite difference [array([-1.41421333, 0.70710666])]\n" ] } ], "source": [ "from qiskit.algorithms.gradients import FiniteDiffEstimatorGradient\n", "\n", "state_grad = FiniteDiffEstimatorGradient(estimator, epsilon = 0.001)\n", "\n", "# Evaluate the gradient\n", "fde_grad_result = state_grad.run(qc, H, params).result().gradients\n", "print('State estimator gradient computed with finite difference', fde_grad_result)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### SPSA Gradients\n", "\n", "SPSA gradients compute the gradients of the expectation value by the [Simultaneous Perturbation Stochastic Approximation (SPSA) algorithm](https://ieeexplore.ieee.org/document/880982). `epsilon` is the amount of offset, `batch_size` is the number of times the circuit is executed to estimate the gradient. As SPSA is a random process, use the `seed` value to avoid randomization." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "State estimator gradient computed with SPSA: [array([-1.41421333, 0.70710631])]\n" ] } ], "source": [ "from qiskit.algorithms.gradients import SPSAEstimatorGradient\n", "\n", "state_grad = SPSAEstimatorGradient(estimator, epsilon = 0.001, batch_size=10, seed=50)\n", "\n", "# Evaluate the gradient\n", "spsae_grad_result = state_grad.run(qc, H, params).result().gradients\n", "print('State estimator gradient computed with SPSA:', spsae_grad_result)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Circuit Quantum Geometric Tensor (QGTs)\n", "[Quantum Geometric Tensor](https://arxiv.org/abs/1012.1337) is a metric in geometric quantum computing and can be regarded as a metric measuring the geodesic distance of points lying on the Bloch sphere. Its real and imaginary parts give different informations about the quantum state. \n", "\n", "The entries of the QGT for a pure state is given by\n", "\n", "$$QGT_{kl}(\\theta) = \\langle\\partial_k\\psi(\\theta)|\\partial_l\\psi(\\theta)\\rangle-\\langle\\partial_k\\psi(\\theta)|\\psi(\\theta)\\rangle\\langle\\psi(\\theta)|\\partial_l\\psi(\\theta)\\rangle.$$ \n", "\n", "### Linear Combination QGT\n", "This method employs a linear combination of unitaries, as explained in the **Gradients** section." ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "QGT:\n", "[array([[ 2.50000000e-01+7.54884100e-19j, -3.75686535e-17+1.76776695e-01j],\n", " [-3.75686535e-17-1.76776695e-01j, 1.25000000e-01-7.54884100e-19j]])]\n" ] } ], "source": [ "from qiskit.algorithms.gradients import DerivativeType, LinCombQGT\n", "\n", "qgt = LinCombQGT(estimator, derivative_type=DerivativeType.COMPLEX)\n", "\n", "param_vals = [[np.pi/4, 0.1]]\n", "\n", "#Evaluate the QGTs\n", "qgt_result = qgt.run(qc, param_vals).result().qgts\n", "print('QGT:')\n", "print(qgt_result)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Quantum Fisher Information (QFI)\n", "\n", "[Quantum Fisher Information](https://quantum-journal.org/papers/q-2020-05-25-269/) is a metric tensor which is representative for the representation capacity of a \n", "parameterized quantum state $|\\psi\\left(\\theta\\right)\\rangle = V\\left(\\theta\\right)|\\psi\\rangle$ with input state $|\\psi\\rangle$, parametrized Ansatz $V\\left(\\theta\\right)$.\n", "\n", "The QFI can thus be evaluated from QGT as\n", "\n", "$$\n", "\\begin{align*}\n", "QFI_{kl} &= 4 * \\text{Re}(QGT_{kl}) \\\\\n", " &=4 *\\text{Re}\\left[\\langle\\partial_k\\psi|\\partial_l\\psi\\rangle-\\langle\\partial_k\\psi|\\psi\\rangle\\langle\\psi|\\partial_l\\psi\\rangle \\right].\n", "\\end{align*}$$" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "QFI:\n", "[array([[ 1.00000000e+00, -1.50274614e-16],\n", " [-1.50274614e-16, 5.00000000e-01]])]\n" ] } ], "source": [ "from qiskit.algorithms.gradients import QFI\n", "\n", "#Define the QFI metric for the QGT\n", "qfi = QFI(qgt)\n", "\n", "# Evaluate the QFI\n", "qfi_result = qfi.run(qc, param_vals).result().qfis\n", "print('QFI:')\n", "print(qfi_result)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Application Example: VQE with gradient-based optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Estimator" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Let's see an application of these gradient classes in a gradient-based optimization. We will use the Variational Quantum Eigensolver (VQE) algorith. First, the Hamiltonian and wavefunction ansatz are initialized." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.circuit import ParameterVector\n", "\n", "# Instantiate the system Hamiltonian\n", "h2_hamiltonian = SparsePauliOp.from_list([('II', -1.05), \n", " ('IZ', 0.39), \n", " ('ZI', -0.39), \n", " ('ZZ', -0.01)])\n", "\n", "# This is the target energy\n", "h2_energy = -1.85727503\n", "\n", "# Define the Ansatz\n", "wavefunction = QuantumCircuit(2)\n", "params = ParameterVector('theta', length=8)\n", "it = iter(params)\n", "wavefunction.ry(next(it), 0)\n", "wavefunction.ry(next(it), 1)\n", "wavefunction.rz(next(it), 0)\n", "wavefunction.rz(next(it), 1)\n", "wavefunction.cx(0, 1)\n", "wavefunction.ry(next(it), 0)\n", "wavefunction.ry(next(it), 1)\n", "wavefunction.rz(next(it), 0)\n", "wavefunction.rz(next(it), 1)\n", "\n", "wavefunction.draw('mpl')" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "#Make circuit copies for different VQEs\n", "wavefunction_1 = wavefunction.copy()\n", "wavefunction_2 = wavefunction.copy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `VQE` will take an `Estimator`, the ansatz and optimizer, and an optional gradient. We will use the `LinCombEstimatorGradient` gradient to compute the VQE." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Result of Estimator VQE: -1.8199999998468706 \n", "Reference: -1.85727503\n" ] } ], "source": [ "from qiskit.algorithms.optimizers import CG\n", "from qiskit.algorithms.minimum_eigensolvers import VQE, SamplingVQE\n", "\n", "#Conjugate Gradient algorithm\n", "optimizer = CG(maxiter=50)\n", "\n", "# Gradient callable\n", "estimator = Estimator()\n", "grad = LinCombEstimatorGradient(estimator) # optional estimator gradient\n", "vqe = VQE(estimator=estimator, ansatz=wavefunction, optimizer=optimizer, gradient=grad)\n", "\n", "result = vqe.compute_minimum_eigenvalue(h2_hamiltonian)\n", "print('Result of Estimator VQE:', result.optimal_value, '\\nReference:', h2_energy)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Classical Optimizer" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also use a classical optimizer to optimize the VQE. We'll use the `minimize` function from SciPy. " ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Result of classical optimizer: -1.8199999999831082 \n", "Reference: -1.85727503\n" ] } ], "source": [ "from scipy.optimize import minimize\n", "\n", "#Classical optimizer\n", "vqe_classical = VQE(estimator=estimator, ansatz=wavefunction_2, optimizer=minimize, gradient=grad)\n", "\n", "result_classical = vqe_classical.compute_minimum_eigenvalue(h2_hamiltonian)\n", "print('Result of classical optimizer:', result_classical.optimal_value, '\\nReference:', h2_energy)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "slideshow": { "slide_type": "notes" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.24.0
qiskit-aer0.12.0
qiskit-ignis0.7.1
qiskit-ibmq-provider0.20.2
qiskit0.43.0
System information
Python version3.8.10
Python compilerGCC 9.4.0
Python builddefault, Mar 13 2023 10:26:41
OSLinux
CPUs4
Memory (Gb)3.842151641845703
Tue May 30 19:13:50 2023 UTC
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2023.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 1 } ================================================ FILE: tutorials/circuits/01_circuit_basics.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Circuit Basics \n", "\n", "Here, we provide an overview of working with Qiskit. Qiskit provides the basic building blocks necessary to program quantum computers. The fundamental unit of Qiskit is the [quantum circuit](https://en.wikipedia.org/wiki/Quantum_circuit). A basic workflow using Qiskit consists of two stages: **Build** and **Run**. **Build** allows you to make different quantum circuits that represent the problem you are solving, and **Run** that allows you to run them on different backends. After the jobs have been run, the data is collected and postprocessed depending on the desired output." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:37:44.387267Z", "start_time": "2019-08-10T11:37:41.934365Z" } }, "outputs": [], "source": [ "import numpy as np\n", "from qiskit import QuantumCircuit\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Building the circuit \n", "\n", "The basic element needed for your first program is the QuantumCircuit. We begin by creating a `QuantumCircuit` comprised of three qubits." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:37:44.392806Z", "start_time": "2019-08-10T11:37:44.389673Z" } }, "outputs": [], "source": [ "# Create a Quantum Circuit acting on a quantum register of three qubits\n", "circ = QuantumCircuit(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After you create the circuit with its registers, you can add gates (\"operations\") to manipulate the registers. As you proceed through the tutorials you will find more gates and circuits; below is an example of a quantum circuit that makes a three-qubit GHZ state\n", "\n", "$$|\\psi\\rangle = \\left(|000\\rangle+|111\\rangle\\right)/\\sqrt{2}.$$\n", "\n", "To create such a state, we start with a three-qubit quantum register. By default, each qubit in the register is initialized to $|0\\rangle$. To make the GHZ state, we apply the following gates:\n", "- A Hadamard gate $H$ on qubit 0, which puts it into the superposition state $\\left(|0\\rangle+|1\\rangle\\right)/\\sqrt{2}$.\n", "- A Controlled-NOT operation ($C_{X}$) between qubit 0 and qubit 1.\n", "- A Controlled-NOT operation between qubit 0 and qubit 2.\n", "\n", "On an ideal quantum computer, the state produced by running this circuit would be the GHZ state above.\n", "\n", "In Qiskit, operations can be added to the circuit one by one, as shown below." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:37:44.401502Z", "start_time": "2019-08-10T11:37:44.395545Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Add a H gate on qubit 0, putting this qubit in superposition.\n", "circ.h(0)\n", "# Add a CX (CNOT) gate on control qubit 0 and target qubit 1, putting\n", "# the qubits in a Bell state.\n", "circ.cx(0, 1)\n", "# Add a CX (CNOT) gate on control qubit 0 and target qubit 2, putting\n", "# the qubits in a GHZ state.\n", "circ.cx(0, 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualize Circuit \n", "\n", "You can visualize your circuit using Qiskit `QuantumCircuit.draw()`, which plots the circuit in the form found in many textbooks." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:37:44.762773Z", "start_time": "2019-08-10T11:37:44.403727Z" }, "scrolled": true }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 2021-06-04T17:47:44.464335\n", " image/svg+xml\n", " \n", " \n", " Matplotlib v3.3.2, https://matplotlib.org/\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ], "text/plain": [ "
" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circ.draw('mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this circuit, the qubits are put in order, with qubit zero at the top and qubit two at the bottom. The circuit is read left to right (meaning that gates that are applied earlier in the circuit show up further to the left)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\n", "When representing the state of a multi-qubit system, the tensor order used in Qiskit is different than that used in most physics textbooks. Suppose there are $n$ qubits, and qubit $j$ is labeled as $Q_{j}$. Qiskit uses an ordering in which the $n^{\\mathrm{th}}$ qubit is on the left side of the tensor product, so that the basis vectors are labeled as $Q_{n-1}\\otimes \\cdots \\otimes Q_1\\otimes Q_0$.\n", "\n", "For example, if qubit zero is in state 0, qubit 1 is in state 0, and qubit 2 is in state 1, Qiskit would represent this state as $|100\\rangle$, whereas many physics textbooks would represent it as $|001\\rangle$.\n", "\n", "This difference in labeling affects the way multi-qubit operations are represented as matrices. For example, Qiskit represents a controlled-X ($C_{X}$) operation with qubit 0 being the control and qubit 1 being the target as\n", "\n", "$$C_X = \\begin{pmatrix} 1 & 0 & 0 & 0 \\\\ 0 & 0 & 0 & 1 \\\\ 0 & 0 & 1 & 0 \\\\ 0 & 1 & 0 & 0 \\\\\\end{pmatrix}.$$\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulating circuits \n", "\n", "To simulate a circuit we use the quant_info module in Qiskit. This simulator returns the quantum state, which is a complex vector of dimensions $2^n$, where $n$ is the number of qubits \n", "(so be careful using this as it will quickly get too large to run on your machine).\n", "\n", "There are two stages to the simulator. The first is to set the input state and the second to evolve the state by the quantum circuit." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\n", "\n", "\\begin{bmatrix}\n", "\\tfrac{1}{\\sqrt{2}} & 0 & 0 & 0 & 0 & 0 & 0 & \\tfrac{1}{\\sqrt{2}} \\\\\n", " \\end{bmatrix}\n", "$$" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.quantum_info import Statevector\n", "\n", "# Set the initial state of the simulator to the ground state using from_int\n", "state = Statevector.from_int(0, 2**3)\n", "\n", "# Evolve the state by the quantum circuit\n", "state = state.evolve(circ)\n", "\n", "#draw using latex\n", "state.draw('latex')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$$\n", "\n", "\\begin{bmatrix}\n", "\\tfrac{1}{\\sqrt{2}} & 0 & 0 & 0 & 0 & 0 & 0 & \\tfrac{1}{\\sqrt{2}} \\\\\n", " \\end{bmatrix}\n", "$$" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.visualization import array_to_latex\n", "\n", "#Alternative way of representing in latex\n", "array_to_latex(state)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Qiskit also provides a visualization toolbox to allow you to view the state.\n", "\n", "Below, we use the visualization function to plot the qsphere and a hinton representing the real and imaginary components of the state density matrix $\\rho$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 2021-06-04T17:47:50.719724\n", " image/svg+xml\n", " \n", " \n", " Matplotlib v3.3.2, https://matplotlib.org/\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", 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" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "state.draw('qsphere')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 2021-06-04T17:47:51.840808\n", " image/svg+xml\n", " \n", " \n", " Matplotlib v3.3.2, https://matplotlib.org/\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "state.draw('hinton')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Unitary representation of a circuit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Qiskit's quant_info module also has an operator method which can be used to make a unitary operator for the circuit. This calculates the $2^n \\times 2^n$ matrix representing the quantum circuit. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:37:45.626148Z", "start_time": "2019-08-10T11:37:45.607840Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.70710678+0.j, 0.70710678+0.j, 0. +0.j,\n", " 0. +0.j, 0. +0.j, 0. +0.j,\n", " 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0. +0.j,\n", " 0. +0.j, 0. +0.j, 0. +0.j,\n", " 0.70710678+0.j, -0.70710678+0.j],\n", " [ 0. +0.j, 0. +0.j, 0.70710678+0.j,\n", " 0.70710678+0.j, 0. +0.j, 0. +0.j,\n", " 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0. +0.j,\n", " 0. +0.j, 0.70710678+0.j, -0.70710678+0.j,\n", " 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0. +0.j,\n", " 0. +0.j, 0.70710678+0.j, 0.70710678+0.j,\n", " 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0.70710678+0.j,\n", " -0.70710678+0.j, 0. +0.j, 0. +0.j,\n", " 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0. +0.j,\n", " 0. +0.j, 0. +0.j, 0. +0.j,\n", " 0.70710678+0.j, 0.70710678+0.j],\n", " [ 0.70710678+0.j, -0.70710678+0.j, 0. +0.j,\n", " 0. +0.j, 0. +0.j, 0. +0.j,\n", " 0. +0.j, 0. +0.j]])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.quantum_info import Operator\n", "\n", "U = Operator(circ)\n", "\n", "# Show the results\n", "U.data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## OpenQASM backend" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simulators above are useful because they provide information about the state output by the ideal circuit and the matrix representation of the circuit. However, a real experiment terminates by _measuring_ each qubit (usually in the computational $|0\\rangle, |1\\rangle$ basis). Without measurement, we cannot gain information about the state. Measurements cause the quantum system to collapse into classical bits. \n", "\n", "For example, suppose we make independent measurements on each qubit of the three-qubit GHZ state\n", "\n", "$$|\\psi\\rangle = (|000\\rangle +|111\\rangle)/\\sqrt{2},$$\n", "\n", "and let $xyz$ denote the bitstring that results. Recall that, under the qubit labeling used by Qiskit, $x$ would correspond to the outcome on qubit 2, $y$ to the outcome on qubit 1, and $z$ to the outcome on qubit 0. \n", "\n", "
\n", "Note: This representation of the bitstring puts the most significant bit (MSB) on the left, and the least significant bit (LSB) on the right. This is the standard ordering of binary bitstrings. We order the qubits in the same way (qubit representing the MSB has index 0), which is why Qiskit uses a non-standard tensor product order.\n", "
\n", "\n", "Recall the probability of obtaining outcome $xyz$ is given by\n", "\n", "$$\\mathrm{Pr}(xyz) = |\\langle xyz | \\psi \\rangle |^{2}$$\n", "\n", "and as such for the GHZ state probability of obtaining 000 or 111 are both 1/2.\n", "\n", "To simulate a circuit that includes measurement, we need to add measurements to the original circuit above, and use a different Aer backend." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:37:45.840681Z", "start_time": "2019-08-10T11:37:45.627937Z" } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 2021-06-04T17:47:56.682478\n", " image/svg+xml\n", " \n", " \n", " Matplotlib v3.3.2, https://matplotlib.org/\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ], "text/plain": [ "
" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a Quantum Circuit\n", "meas = QuantumCircuit(3, 3)\n", "meas.barrier(range(3))\n", "# map the quantum measurement to the classical bits\n", "meas.measure(range(3), range(3))\n", "\n", "# The Qiskit circuit object supports composition.\n", "# Here the meas has to be first and front=True (putting it before) \n", "# as compose must put a smaller circuit into a larger one.\n", "qc = meas.compose(circ, range(3), front=True)\n", "\n", "#drawing the circuit\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This circuit adds a classical register, and three measurements that are used to map the outcome of qubits to the classical bits. \n", "\n", "To simulate this circuit, we use the ``qasm_simulator`` in Qiskit Aer. Each run of this circuit will yield either the bitstring 000 or 111. To build up statistics about the distribution of the bitstrings (to, e.g., estimate $\\mathrm{Pr}(000)$), we need to repeat the circuit many times. The number of times the circuit is repeated can be specified in the ``execute`` function, via the ``shots`` keyword." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:37:45.868074Z", "start_time": "2019-08-10T11:37:45.842666Z" } }, "outputs": [], "source": [ "# Adding the transpiler to reduce the circuit to QASM instructions\n", "# supported by the backend\n", "from qiskit import transpile \n", "\n", "# Use AerSimulator\n", "from qiskit_aer import AerSimulator\n", "\n", "backend = AerSimulator()\n", "\n", "# First we have to transpile the quantum circuit \n", "# to the low-level QASM instructions used by the \n", "# backend\n", "qc_compiled = transpile(qc, backend)\n", "\n", "# Execute the circuit on the qasm simulator.\n", "# We've set the number of repeats of the circuit\n", "# to be 1024, which is the default.\n", "job_sim = backend.run(qc_compiled, shots=1024)\n", "\n", "# Grab the results from the job.\n", "result_sim = job_sim.result()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once you have a result object, you can access the counts via the function `get_counts(circuit)`. This gives you the _aggregated_ binary outcomes of the circuit you submitted." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:37:45.873600Z", "start_time": "2019-08-10T11:37:45.869929Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'111': 522, '000': 502}\n" ] } ], "source": [ "counts = result_sim.get_counts(qc_compiled)\n", "print(counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Approximately 50 percent of the time, the output bitstring is 000. Qiskit also provides a function `plot_histogram`, which allows you to view the outcomes. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:37:45.991815Z", "start_time": "2019-08-10T11:37:45.875518Z" } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", " \n", " 2021-06-04T17:48:02.274421\n", " image/svg+xml\n", " \n", " \n", " Matplotlib v3.3.2, https://matplotlib.org/\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ], "text/plain": [ "
" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.visualization import plot_histogram\n", "plot_histogram(counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The estimated outcome probabilities $\\mathrm{Pr}(000)$ and $\\mathrm{Pr}(111)$ are computed by taking the aggregate counts and dividing by the number of shots (times the circuit was repeated). Try changing the ``shots`` keyword in the ``execute`` function and see how the estimated probabilities change." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2019-08-10T11:38:18.277518Z", "start_time": "2019-08-10T11:38:18.224481Z" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
Qiskit0.26.2
Terra0.17.4
Aer0.8.2
Ignis0.6.0
Aqua0.9.1
IBM Q Provider0.13.1
System information
Python3.8.5 (default, Sep 4 2020, 07:30:14) \n", "[GCC 7.3.0]
OSLinux
CPUs2
Memory (Gb)7.523967742919922
Fri Jun 04 17:48:05 2021 IST
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2021.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 } ================================================ FILE: tutorials/circuits/1_getting_started_with_qiskit.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Getting Started with Qiskit\n", "\n", "Here, we provide an overview of working with Qiskit. The fundamental package of Qiskit is Terra that provides the basic building blocks necessary to program quantum computers. The fundamental unit of Qiskit is the [quantum circuit](https://en.wikipedia.org/wiki/Quantum_circuit). A basic workflow using Qiskit consists of two stages: **Build** and **Execute**. **Build** allows you to make different quantum circuits that represent the problem you are solving, and **Execute** that allows you to run them on different backends. After the jobs have been run, the data is collected and postprocessed depending on the desired output." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:39.026081Z", "start_time": "2021-07-31T05:04:36.903090Z" } }, "outputs": [], "source": [ "import numpy as np\n", "from qiskit import *\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Circuit Basics \n", "\n", "\n", "### Building the circuit\n", "\n", "The basic element needed for your first program is the QuantumCircuit. We begin by creating a `QuantumCircuit` comprised of three qubits." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:39.030564Z", "start_time": "2021-07-31T05:04:39.028024Z" } }, "outputs": [], "source": [ "# Create a Quantum Circuit acting on a quantum register of three qubits\n", "circ = QuantumCircuit(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After you create the circuit with its registers, you can add gates (\"operations\") to manipulate the registers. As you proceed through the tutorials you will find more gates and circuits; below is an example of a quantum circuit that makes a three-qubit GHZ state\n", "\n", "$$|\\psi\\rangle = \\left(|000\\rangle+|111\\rangle\\right)/\\sqrt{2}.$$\n", "\n", "To create such a state, we start with a three-qubit quantum register. By default, each qubit in the register is initialized to $|0\\rangle$. To make the GHZ state, we apply the following gates:\n", "- A Hadamard gate $H$ on qubit $q_{0}$, which puts it into the superposition state $\\left(|0\\rangle+|1\\rangle\\right)/\\sqrt{2}$.\n", "- A controlled-Not operation ($C_{X}$) between qubit $q_{0}$ and qubit $q_{1}$.\n", "- A controlled-Not operation between qubit $q_{0}$ and qubit $q_{2}$.\n", "\n", "On an ideal quantum computer, the state produced by running this circuit would be the GHZ state above.\n", "\n", "In Qiskit, operations can be added to the circuit one by one, as shown below." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:39.584692Z", "start_time": "2021-07-31T05:04:39.573755Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Add a H gate on qubit $q_{0}$, putting this qubit in superposition.\n", "circ.h(0)\n", "# Add a CX (CNOT) gate on control qubit $q_{0}$ and target qubit $q_{1}$, putting\n", "# the qubits in a Bell state.\n", "circ.cx(0, 1)\n", "# Add a CX (CNOT) gate on control qubit $q_{0}$ and target qubit $q_{2}$, putting\n", "# the qubits in a GHZ state.\n", "circ.cx(0, 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualize Circuit \n", "\n", "You can visualize your circuit using Qiskit `QuantumCircuit.draw()`, which plots the circuit in the form found in many textbooks." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:40.867948Z", "start_time": "2021-07-31T05:04:40.271129Z" }, "scrolled": true, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circ.draw('mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this circuit, the qubits are put in order, with qubit $q_{0}$ at the top and qubit $q_{2}$ at the bottom. The circuit is read left to right (meaning that gates that are applied earlier in the circuit show up further to the left)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "\n", "When representing the state of a multi-qubit system, the tensor order used in Qiskit is different than that used in most physics textbooks. Suppose there are $n$ qubits, and qubit $j$ is labeled as $Q_{j}$. Qiskit uses an ordering in which the $n^{\\mathrm{th}}$ qubit is on the left side of the tensor product, so that the basis vectors are labeled as $Q_{n-1}\\otimes \\cdots \\otimes Q_1\\otimes Q_0$.\n", "\n", "For example, if qubit $Q_{0}$ is in state 0, qubit $Q_{1}$ is in state 0, and qubit $Q_{2}$ is in state 1, Qiskit would represent this state as $|100\\rangle$, whereas many physics textbooks would represent it as $|001\\rangle$.\n", "\n", "This difference in labeling affects the way multi-qubit operations are represented as matrices. For example, Qiskit represents a controlled-X ($C_{X}$) operation with qubit $Q_{0}$ being the control and qubit $Q_{1}$ being the target as\n", "\n", "$$C_X = \\begin{pmatrix} 1 & 0 & 0 & 0 \\\\ 0 & 0 & 0 & 1 \\\\ 0 & 0 & 1 & 0 \\\\ 0 & 1 & 0 & 0 \\\\\\end{pmatrix}.$$\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulating circuits using Qiskit Aer \n", "\n", "Qiskit Aer is our package for simulating quantum circuits. It provides many different backends for doing a simulation. There is also a basic, Python only, implementation called `BasicAer` in Terra that can be used as a drop-in replacement for `Aer` in the examples below.\n", "\n", "### Statevector backend\n", "\n", "The most common backend in Qiskit Aer is the `statevector_simulator`. This simulator returns the quantum \n", "state, which is a complex vector of dimensions $2^n$, where $n$ is the number of qubits \n", "(so be careful using this as it will quickly get too large to run on your machine)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To run the above circuit using the statevector simulator, first you need to import Aer and then set the backend to `statevector_simulator`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:43.436320Z", "start_time": "2021-07-31T05:04:43.290274Z" } }, "outputs": [], "source": [ "# Import Aer\n", "from qiskit import Aer\n", "\n", "# Run the quantum circuit on a statevector simulator backend\n", "backend = Aer.get_backend('statevector_simulator')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have chosen the backend, it's time to compile and run the quantum circuit. In Qiskit we provide the `run` method for this. `run` returns a `job` object that encapsulates information about the job submitted to the backend.\n", "\n", "\n", "
\n", "Tip: You can obtain the above parameters in Jupyter. Simply place the text cursor on a function and press Shift+Tab.\n", "
" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:44.311305Z", "start_time": "2021-07-31T05:04:44.306416Z" } }, "outputs": [], "source": [ "# Create a Quantum Program for execution \n", "job = backend.run(circ)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When you run a program, a job object is made that has the following two useful methods: \n", "`job.status()` and `job.result()`, which return the status of the job and a result object, respectively.\n", "\n", "
\n", "Note: Jobs run asynchronously, but when the result method is called, it switches to synchronous and waits for it to finish before moving on to another task.\n", "
" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:45.848031Z", "start_time": "2021-07-31T05:04:45.844758Z" } }, "outputs": [], "source": [ "result = job.result()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results object contains the data and Qiskit provides the method \n", "`result.get_statevector(circ)` to return the state vector for the quantum circuit." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:46.702758Z", "start_time": "2021-07-31T05:04:46.697846Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.707+0.j 0. +0.j 0. +0.j 0. +0.j 0. +0.j 0. +0.j 0. +0.j\n", " 0.707+0.j]\n" ] } ], "source": [ "outputstate = result.get_statevector(circ, decimals=3)\n", "print(outputstate)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Qiskit also provides a visualization toolbox to allow you to view these results.\n", "\n", "Below, we use the visualization function to plot the real and imaginary components of the state density matrix $\\rho$.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:48.212557Z", "start_time": "2021-07-31T05:04:47.532387Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.visualization import plot_state_city\n", "plot_state_city(outputstate)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Unitary backend" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Qiskit Aer also includes a `unitary_simulator` that works _provided all the elements in the circuit are unitary operations_. This backend calculates the $2^n \\times 2^n$ matrix representing the gates in the quantum circuit. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:04:49.855040Z", "start_time": "2021-07-31T05:04:49.843822Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.707+0.j 0.707-0.j 0. +0.j 0. +0.j 0. +0.j 0. +0.j\n", " 0. +0.j 0. +0.j]\n", " [ 0. +0.j 0. +0.j 0. +0.j 0. +0.j 0. +0.j 0. +0.j\n", " 0.707+0.j -0.707+0.j]\n", " [ 0. +0.j 0. +0.j 0.707+0.j 0.707-0.j 0. +0.j 0. +0.j\n", " 0. +0.j 0. +0.j]\n", " [ 0. +0.j 0. +0.j 0. +0.j 0. +0.j 0.707+0.j -0.707+0.j\n", " 0. +0.j 0. +0.j]\n", " [ 0. +0.j 0. +0.j 0. +0.j 0. +0.j 0.707+0.j 0.707-0.j\n", " 0. +0.j 0. +0.j]\n", " [ 0. +0.j 0. +0.j 0.707+0.j -0.707+0.j 0. +0.j 0. +0.j\n", " 0. +0.j 0. +0.j]\n", " [ 0. +0.j 0. +0.j 0. +0.j 0. +0.j 0. +0.j 0. +0.j\n", " 0.707+0.j 0.707-0.j]\n", " [ 0.707+0.j -0.707+0.j 0. +0.j 0. +0.j 0. +0.j 0. +0.j\n", " 0. +0.j 0. +0.j]]\n" ] } ], "source": [ "# Run the quantum circuit on a unitary simulator backend\n", "backend = Aer.get_backend('unitary_simulator')\n", "job = backend.run(circ)\n", "result = job.result()\n", "\n", "# Show the results\n", "print(result.get_unitary(circ, decimals=3))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### OpenQASM backend" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simulators above are useful because they provide information about the state output by the ideal circuit and the matrix representation of the circuit. However, a real experiment terminates by _measuring_ each qubit (usually in the computational $|0\\rangle, |1\\rangle$ basis). Without measurement, we cannot gain information about the state. Measurements cause the quantum system to collapse into classical bits. \n", "\n", "For example, suppose we make independent measurements on each qubit of the three-qubit GHZ state\n", "\n", "$$|\\psi\\rangle = (|000\\rangle +|111\\rangle)/\\sqrt{2},$$\n", "\n", "and let $xyz$ denote the bitstring that results. Recall that, under the qubit labeling used by Qiskit, $x$ would correspond to the outcome on qubit $q_{2}$, $y$ to the outcome on qubit $q_{1}$, and $z$ to the outcome on qubit $q_{0}$. \n", "\n", "
\n", "Note: This representation of the bitstring puts the most significant bit (MSB) on the left, and the least significant bit (LSB) on the right. This is the standard ordering of binary bitstrings. We order the qubits in the same way (qubit representing the MSB has index 0), which is why Qiskit uses a non-standard tensor product order.\n", "
\n", "\n", "Recall the probability of obtaining outcome $xyz$ is given by\n", "\n", "$$\\mathrm{Pr}(xyz) = |\\langle xyz | \\psi \\rangle |^{2}$$\n", "\n", "and as such for the GHZ state probability of obtaining 000 or 111 are both 1/2.\n", "\n", "To simulate a circuit that includes measurement, we need to add measurements to the original circuit above, and use a different Aer backend." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:05:39.326486Z", "start_time": "2021-07-31T05:05:39.315781Z" } }, "outputs": [ { "data": { "text/html": [ "
     ┌───┐           ░ ┌─┐      \n",
       "q_0: ┤ H ├──■────■───░─┤M├──────\n",
       "     └───┘┌─┴─┐  │   ░ └╥┘┌─┐   \n",
       "q_1: ─────┤ X ├──┼───░──╫─┤M├───\n",
       "          └───┘┌─┴─┐ ░  ║ └╥┘┌─┐\n",
       "q_2: ──────────┤ X ├─░──╫──╫─┤M├\n",
       "               └───┘ ░  ║  ║ └╥┘\n",
       "c: 3/═══════════════════╩══╩══╩═\n",
       "                        0  1  2
" ], "text/plain": [ " ┌───┐ ░ ┌─┐ \n", "q_0: ┤ H ├──■────■───░─┤M├──────\n", " └───┘┌─┴─┐ │ ░ └╥┘┌─┐ \n", "q_1: ─────┤ X ├──┼───░──╫─┤M├───\n", " └───┘┌─┴─┐ ░ ║ └╥┘┌─┐\n", "q_2: ──────────┤ X ├─░──╫──╫─┤M├\n", " └───┘ ░ ║ ║ └╥┘\n", "c: 3/═══════════════════╩══╩══╩═\n", " 0 1 2 " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create a Quantum Circuit\n", "meas = QuantumCircuit(3, 3)\n", "meas.barrier(range(3))\n", "# map the quantum measurement to the classical bits\n", "meas.measure(range(3), range(3))\n", "\n", "# The Qiskit circuit object supports composition using\n", "# the compose method.\n", "circ.add_register(meas.cregs[0])\n", "qc = circ.compose(meas)\n", "\n", "#drawing the circuit\n", "qc.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This circuit adds a classical register, and three measurements that are used to map the outcome of qubits to the classical bits. \n", "\n", "To simulate this circuit, we use the `qasm_simulator` in Qiskit Aer. Each run of this circuit will yield either the bitstring 000 or 111. To build up statistics about the distribution of the bitstrings (to, e.g., estimate $\\mathrm{Pr}(000)$), we need to repeat the circuit many times. The number of times the circuit is repeated can be specified in the `run` method, via the `shots` keyword." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:06:23.358780Z", "start_time": "2021-07-31T05:06:23.338865Z" } }, "outputs": [], "source": [ "# Use Aer's qasm_simulator\n", "backend_sim = Aer.get_backend('qasm_simulator')\n", "\n", "# Execute the circuit on the qasm simulator.\n", "# We've set the number of repeats of the circuit\n", "# to be 1024, which is the default.\n", "job_sim = backend_sim.run(transpile(qc, backend_sim), shots=1024)\n", "\n", "# Grab the results from the job.\n", "result_sim = job_sim.result()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once you have a result object, you can access the counts via the function `get_counts(circuit)`. This gives you the _aggregated_ binary outcomes of the circuit you submitted." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:06:24.587309Z", "start_time": "2021-07-31T05:06:24.583432Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'111': 514, '000': 510}\n" ] } ], "source": [ "counts = result_sim.get_counts(qc)\n", "print(counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Approximately 50 percent of the time, the output bitstring is 000. Qiskit also provides a function `plot_histogram`, which allows you to view the outcomes. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:06:26.146850Z", "start_time": "2021-07-31T05:06:26.028680Z" } }, "outputs": [ { "data": { "image/png": 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Tz4Mi4uKIeHP7lyZJUtfS1j3NXwKXA0REb6AW+AbwUERc0M61SZLUpbQ1NGuA35bfvxfYBgwALgE+1451SZLU5bQ1NHsDz5ffvx34t8x8mVKQntyOdUmS1OW0NTT/E3hzRLwOmA48UG7vB7zYnoVJktTVVLSx/7eAO4AdwDPA3HL7FODJdqxLkqQup02hmZnfi4iFwDDggcx8pTzpaeDq9i5OkqSupK17mmRmLaVRs03bftluFUmS1EW1+eYGEXFZRCyNiBcjYmS57fMR8YH2L0+SpK6jrTc3mAFcBXwfiCaTngU+1X5lSZLU9bR1T/PjwCWZORNoaNK+CBjXblVJktQFtTU0TwKWtND+MtDrwMuRJKnramtorgCqW2h/B1B34OVIktR1tXX07PXAjRFxNKVzmpMi4u+Avwcuau/iJEnqStp6neatEVEBfA04mtKNDp4FrsjMuw9CfZIkdRn7c53mLGBWRBwHHJGZG9u/LEmSup42h+ZumbmpPQuRJKmr22doRsQTwNTM3BoRTwLZWt/MnNCexUmS1JUU2dP8KVDf5H2roSlJUne2z9DMzC83ef+lg1qNJEldWFtvo/fbiDi2hfZjIuK37VaVJEldUFtvbnAO0LOF9qOAsw+4GkmSurBCo2cjouldgCZExJYmn3sA04G17VmYJEldTdFLTmopDQBKYE4L03cCl7dXUZIkdUVFQ3MEpdvmrQD+CniuybRdwMbMbGzn2iRJ6lIKhWZmPlN+2+aHVkuS1F0UubnBe4GfZ+bL5fetysx/bbfKJEnqYorsad4DDAI2lt+3JikNCpIkqVsqcnODI1p6L0nS4cYQlCSpoKLnNAvxnKYkqTsrek6zCM9pSpK6tTad05Qk6XBmIEqSVJDXaUqSVJDXaUqSVNA+D89m5hGZubHJ+9ZehQIzIi6LiJUR8VJELIyIVh8pFhFTI+LRiNgcETsj4k8R8bkW+r0vIuoior7873uK1CJJUlt06DnNiDgfmAl8DTgdeBS4PyJObGWWHcB3gCnAWOCrwJcj4rImy5wE3A38M3Ba+d+fRMTEg7QakqTDVJtDMyKqI+L2iKgtv+5o9rzNvbkSmJ2ZszLzj5l5ObAO+ERLnTNzYWbelZlLM3NlZv4I+DWvfuD1DODBzLy2vMxrgYfK7ZIktZs2hWZEfBj4PXACcF/5NRB4LCI+so95ewJn8Nrncc4Bzir4/aeX+z7cpHlSC8v8ddFlSpJUVNHnae52LXB1Zn6taWNE/AOlQ6c/2su8x1EaKLShWfsG4Ny9fWlErAGOL9f75cy8pcnkQa0sc1Ary7oUuBRg8ODBPPTQQwCMHDmSPn36sHjxYgD69+/PuHHjmDt3LgAVFRVMnjyZRYsWsW3bNgBqamrYsGEDcPLeytchqra2lh07dgAwceJE1qxZw9q1awEYM2YMPXr0oK6uDoBBgwYxYsQI5s+fD0CvXr2YOHEiCxYsYOfOnQBMmjSJlStXsn79egDGjh1LY2Mjy5YtA2DIkCEMHTqUBQsWANC7d29qamqYP38+9fX1AEyePJmnnnqKjRs3AjB+/Hjq6+tZvnw5AMOGDWPgwIHU1tYCcMwxx1BdXc28efNoaGgAYMqUKSxdupTNmzcDUFVVxfbt21mxYgUAw4cPp1+/fixatAiAvn37UlVVxcMPP0xmEhFMnTqVxYsXs3XrVgCqq6vZsmULq1atAg5se1q9ejUAo0aNorKykiVLlgAwYMAARo8ezbx58wCorKxk0qRJ+/Vzgso2/jboULBu3bp22Z72JjKzcEER8QJQlZl/btZ+CvBEZh69l3kHA2uBqZk5t0n7NcCHM3PMXuYdAfQG3gT8E/DpzLyjPG0XcHFm3t6k/wXArMzc65ZRU1OTu//nciAuueGAF6EuaNaMzq5AB4vbbPfUXttsRCzMzJqWprV1T/NB4Bzgz83az+HVh0xbsglopHQ4t6mBwPq9zZiZK8tvn4yIgcCXgDvKbev3Z5mSJLVVW2/Yfj9wXUTUAL8rt70JeC+lIGtVZu6KiIXANOAnTSZNA37ahpqP4NXHVuaXl/GNZst8tA3LlCRpn/b3hu17zgs28V3gpn0s61vAHRHxGPAI8HFgMHALQETcDpCZF5Q/Xw6sBJaV558CfK7Z98wE5kbEF4B/B94DvAWYvO9VkySpuA69YXtm3h0R/YGrKI3AXQK8IzOfKXdpfr1mD0rnMIcDDcDTwBcoh2x5mY9GxAcpDUT6SrnP+Zm5oL3qliQJ2n5O84Bl5k20skeamec0+3wDcEOBZd5D8UeYSZK0X9ocmhHRF/hvlPYKezadlplfaae6JEnqctoUmhHxJuCXQD2l6ybXUjrMWg+sonR4VJKkbqmt5yu/QenerkOAl4C3UtrjrKV07lGSpG6rraE5AbgxS3dEaAQqM3MD8Hn2ccmJJEmHuraG5q4m7zcAJ5Xf76B06YgkSd1WWwcCLQLOBJ6i9CSRr5bv0PMR4In2LU2SpK6lrXuaXwSeLb+/CniO0k0N+vLamx1IktSttGlPMzNrm7x/jtKlJ5IkHRb26+YGEXEy8Mbyx7rMXNF+JUmS1DW19TrN/sAPgfOAV/6rOX4BXJSZm9u5PkmSuoy2ntP8AXAKcDZwVPk1BRgBzGrf0iRJ6lraenh2OvC2zJzfpO2RiPhfwH+0X1mSJHU9bd3TfA54oYX2FwEPzUqSurW2huZXgBsiYsjuhvL7b+J9ZyVJ3dw+D89GxJNANmkaAayKiLXlz7vvQzuA0jlPSZK6pSLnNH1OpSRJFAjNzPxyRxQiSVJXt783N3grMJbSYdulmflQexYlSVJX1NabGwwB/g04g/+6B+3giKgF3pOZz7Y6syRJh7i2jp79DqXnaJ6SmcMycxgwqtz2nfYuTpKkrqSth2enAedk5srdDZm5IiKuAH7TrpVJktTFtHVPE159+cne2iRJ6lbaGpq/Ab4bEcN2N0TEicANuKcpSerm2hqaVwCvA1ZExDMR8QzwdLntivYuTpKkrqSt5zQ3A38FnAO8odz2x8z0Zu2SpG6vcGhGRA/gL0BVZj4APHDQqpIkqQsqfHg2MxuBZ4CeB68cSZK6rrae0/w/wNcj4riDUYwkSV1ZW89pfo7SU07WRsQamj1bMzMntFdhkiR1NW0NzXsoXZMZB6EWSZK6tEKhGRFHA98A3g0cSemazMszc9PBK02SpK6l6DnNLwMXAr8EfgycC9x8kGqSJKlLKnp49r3AxzLzLoCI+GfgkYjoUR5VK0lSt1d0T3MY8P92f8jMx4AGYPDBKEqSpK6oaGj2AHY1a2tgPx9iLUnSoaho6AXwo4iob9J2FDArIl7c3ZCZ57VncZIkdSVFQ/O2Ftp+1J6FSJLU1RUKzcz8nwe7EEmSurr9eQi1JEmHJUNTkqSCDE1JkgoyNCVJKsjQlCSpIENTkqSCDE1JkgoyNCVJKsjQlCSpIENTkqSCDE1JkgoyNCVJKsjQlCSpIENTkqSCDE1JkgoyNCVJKsjQlCSpIENTkqSCOjw0I+KyiFgZES9FxMKIOHsvfU+IiDsj4k8R0RgRs1voc2FEZAuvow7qikiSDjsdGpoRcT4wE/gacDrwKHB/RJzYyiyVwCbg68CCvSz6ReCEpq/MfKm96pYkCTp+T/NKYHZmzsrMP2bm5cA64BMtdc7MVZl5RWbOBrbsZbmZmeubvtq/dEnS4a7DQjMiegJnAHOaTZoDnHWAi+8VEc9ExJqI+EVEnH6Ay5Mk6TUqOvC7jgN6ABuatW8Azj2A5S4DLgIWA32ATwOPRERVZi5v3jkiLgUuBRg8eDAPPfQQACNHjqRPnz4sXrwYgP79+zNu3Djmzp0LQEVFBZMnT2bRokVs27YNgJqaGjZs2ACcfADlq6uqra1lx44dAEycOJE1a9awdu1aAMaMGUOPHj2oq6sDYNCgQYwYMYL58+cD0KtXLyZOnMiCBQvYuXMnAJMmTWLlypWsX186EDJ27FgaGxtZtmwZAEOGDGHo0KEsWFA6E9G7d29qamqYP38+9fX1AEyePJmnnnqKjRs3AjB+/Hjq6+tZvrz0qz5s2DAGDhxIbW0tAMcccwzV1dXMmzePhoYGAKZMmcLSpUvZvHkzAFVVVWzfvp0VK1YAMHz4cPr168eiRYsA6Nu3L1VVVTz88MNkJhHB1KlTWbx4MVu3bgWgurqaLVu2sGrVKuDAtqfVq1cDMGrUKCorK1myZAkAAwYMYPTo0cybNw+AyspKJk2atF8/p9KZH3U369ata5ftaW8iMw/iKjT5oojBwFpgambObdJ+DfDhzByzj/l/AWzKzAv30a8H8DjwYGZesbe+NTU1uft/LgfikhsOeBHqgmbN6OwKdLC4zXZP7bXNRsTCzKxpaVpHntPcBDQCA5u1DwTa7RxkZjYCtcCo9lqmJEnQgaGZmbuAhcC0ZpOmURpF2y4iIoAJlAYYSZLUbjrynCbAt4A7IuIx4BHg48Bg4BaAiLgdIDMv2D1DRJxWfnsM8Er5867MrCtP/0fgd8Dycp8rKIVmiyNyJUnaXx0ampl5d0T0B66idD3lEuAdmflMuUtL12v+odnndwHPAMPLn48Fvg8MAv5S7j8lMx9r1+IlSYe9jt7TJDNvAm5qZdo5LbTFPpb3GeAz7VKcJEl74b1nJUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqqMNDMyIui4iVEfFSRCyMiLP30X9qud9LEbEiIj5+oMuUJGl/dGhoRsT5wEzga8DpwKPA/RFxYiv9RwD3lfudDlwHfDci3re/y5QkaX919J7mlcDszJyVmX/MzMuBdcAnWun/ceDZzLy83H8WcBvwuQNYpiRJ+6XDQjMiegJnAHOaTZoDnNXKbJNa6P9roCYijtzPZUqStF8qOvC7jgN6ABuatW8Azm1lnkHAf7TQv6K8vGjrMiPiUuDS8scdEbGsSPHa4zhgU2cX0RF+8JnOrkBqF26zbXdSaxM6MjS7hMz8PvD9zq7jUBURtZlZ09l1SCrGbbZ9dWRobgIagYHN2gcC61uZZ30r/RvKy4v9WKYkSfulw85pZuYuYCEwrdmkaZRGvLZkfiv9azPz5f1cpiRJ+6WjD89+C7gjIh4DHqE0OnYwcAtARNwOkJkXlPvfAnwqIm4Avge8GbgQ+FDRZardeWhbOrS4zbajyMyO/cKIy4C/B04AlgCfycy55WkPAWTmOU36TwW+DYwDngX+KTNvKbpMSZLaS4eHpiRJhyrvPStJUkGGpiRJBRmaapOIiM6uQZI6i+c0JUkq6LC7I5DaLiIqgQnAe4C/AEuBPwOrM/OFiIj0ry9JhwH3NLVPEfEd4L2Unh7TFxhO6fKffwduyMwVnVacJHUgz2lqryJiLKUbSlwE/HVmnkLpetibgHcBSyPiUs91Sl1HRAyMiI9ERL999Duyo2rqLgxN7cu7gcczc05mbo6Iisx8LjO/npkjKN144kpKQSqpa7gKuB34c0T8JCLeUT7NskdEnAh8unm79s7Q1L78ETghIk4ByMyGiKiIiKPK02cBLwLv76wCJb1GDfBPwGcpnVL5N2BlRHw3IqrLfS4BPp6Z9Z1U4yHJ0NS+zKX0VJlfRMQHIqIyMxsy8yWAzFxJ6ZmmbnhSFxARg4E1wMrMvBX4a6AKmAmcDfw+Ip6kdITou51W6CHKgUDap/JG+G3gVEob42PAb8vvPwn8LTA8M1/otCIlARARrwPeCmzMzAXNph0NjAc+R2lwX5/M3NnxVR66DE0VEhH9gf9O6bFrI4ExlA77PAx8LzPv6sTyJLWipUvCImI2cHJmnt05VR26vE5TrYqIocAp5Y8vAPcAd1AKzd6UzmVuyswtnVOhpOYi4gggdwdlC4HZi9LjE7/VCeUd8tzTVIsi4hOULjOpohSOKygdjn0QuCczV3dieZL2U/kyk5rMnN/ZtRyKDE29RvlQ7J+BbwI3A8cD5wLnAGMp3djgisys825AUtdQDsMRwDOOiD14DE29RkRcDnwkMye2MG0ycB0wBPirzNzU0fVJeq2ImAFcC/wL8K/A74HnMrOxSZ9jKI2gfSAzd3VGnYc6LzlRS3YBfSJiPJTuPRsRPQEycx7wYeAl4O2dV6KkZs6nNLL9FEq3uJwPfCMiJkfE68t9/ha42sDcf4amWnIP8AowIyL6ZGZ9Zu4qDzAgM/8TeB4Y2ok1SiqLiOOBl4FZ5RGxJwE/pDTifS7w24j4PDADWNDacrRvHp7VqzS5h+z/oHQxdD9Kh3tuAv5AKSinUDrXeWpmruqEMiU1EREnAB8E6jLz182mnQ5cXJ7eFxiWmWs7vsruwdBUiyLiWOBE4CxKjwR7c3nSeiCAOzLzS51SnKTXKF9Kkpn5UtMHKOweqBcR1wLvyMzTO6vG7sDrNLVHRAwA/o7S/So3ATspHYadB1wPHEnpfMmvMvOpTipTUgsyc+fusGzh2syjgfcBt3ZGbd2Je5rao3yXkHHAz4EtlA7NngqMBjYCVzW/LZekzlUeEbt9b5d+lR+wcD7wYwcBHRhDU8Cec5nbKR2+mduk7URgIqVzIiOBD2Tmok4rVNKrRMT3KI2afYzSNZrbWuhzbGY+39G1dUeOntVuY4GVlC43Acr34cp8JjP/hdIDp58H/qZzypPUXER8iNIjvr4J/IzSJSbviYiTy+c4d5/rvG33JWQ6MO5pCtizYf0COBq4AHg6M19p1udy4GOZeVrHVyipuYiYBTQC/5fSU0s+CpwMLAPuA35D6eEKMzOzZ2fV2Z24pymgNIgA+CLQi9IT3y+IiGER0Rv2DCSYCizpvCol7RYRFZSODj2fmSsy8/rMPBU4k9LThz5K6XKx71J60ILagXuaepXyIZyrgfMoPdlkPvAcpXvPrgMuzswnO69CSbtFRF9gYGb+qXzXrpebDgiKiPOBHwPVmfl4J5XZrRiaalH58pN3Au+mdMu8JcBPMvNPnVmXpL0r37krMrMxIi6hdGj26M6uq7swNLVPEXFE8/Obkrq+iLgS6JGZ3+jsWroLQ1OSuqny48Ia/aO3/RiakiQV5OhZSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSro/wNO2UHCAsvn7AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.visualization import plot_histogram\n", "plot_histogram(counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The estimated outcome probabilities $\\mathrm{Pr}(000)$ and $\\mathrm{Pr}(111)$ are computed by taking the aggregate counts and dividing by the number of shots (times the circuit was repeated). Try changing the `shots` keyword in the `run` method and see how the estimated probabilities change." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:06:28.643646Z", "start_time": "2021-07-31T05:06:27.732825Z" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.19.0.dev0+be0ed5f
qiskit-aer0.8.2
qiskit-ignis0.6.0
qiskit-ibmq-provider0.16.0.dev0+4e20edc
System information
Python3.7.7 (default, May 6 2020, 04:59:01) \n", "[Clang 4.0.1 (tags/RELEASE_401/final)]
OSDarwin
CPUs6
Memory (Gb)32.0
Sat Jul 31 01:06:28 2021 EDT
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2021.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 } ================================================ FILE: tutorials/circuits/2_plotting_data_in_qiskit.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Qiskit Visualizations" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:07:56.673595Z", "start_time": "2021-07-31T05:07:56.670504Z" } }, "outputs": [], "source": [ "from qiskit import *\n", "from qiskit.visualization import plot_histogram" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot Histogram \n", "\n", "To visualize the data from a quantum circuit run on a real device or `qasm_simulator` we have made a simple function \n", "\n", "`plot_histogram(data)`\n", "\n", "As an example we make a 2-qubit Bell state" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:03.168385Z", "start_time": "2021-07-31T05:08:03.152732Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'11': 504, '00': 496}\n" ] } ], "source": [ "# quantum circuit to make a Bell state \n", "bell = QuantumCircuit(2, 2)\n", "bell.h(0)\n", "bell.cx(0, 1)\n", "\n", "meas = QuantumCircuit(2, 2)\n", "meas.measure([0,1], [0,1])\n", "\n", "# execute the quantum circuit \n", "backend = BasicAer.get_backend('qasm_simulator') # the device to run on\n", "circ = bell.compose(meas)\n", "result = backend.run(transpile(circ, backend), shots=1000).result()\n", "counts = result.get_counts(circ)\n", "print(counts)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:04.672500Z", "start_time": "2021-07-31T05:08:04.216126Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_histogram(counts)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Options when plotting a histogram\n", "\n", "The `plot_histogram()` has a few options to adjust the output graph. The first option is the `legend` kwarg. This is used to provide a label for the executions. It takes a list of strings used to label each execution's results. This is mostly useful when plotting multiple execution results in the same histogram. The `sort` kwarg is used to adjust the order the bars in the histogram are rendered. It can be set to either ascending order with `asc` or descending order with `desc`. The `number_to_keep` kwarg takes an integer for the number of terms to show, the rest are grouped together in a single bar called rest. You can adjust the color of the bars with the `color` kwarg which either takes a string or a list of strings for the colors to use for the bars for each execution. You can adjust whether labels are printed above the bars or not with the `bar_labels` kwarg. The last option available is the `figsize` kwarg which takes a tuple of the size in inches to make the output figure." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:30.989035Z", "start_time": "2021-07-31T05:08:30.821801Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Execute 2-qubit Bell state again\n", "second_result = backend.run(transpile(circ, backend), shots=1000).result()\n", "second_counts = second_result.get_counts(circ)\n", "# Plot results with legend\n", "legend = ['First execution', 'Second execution']\n", "plot_histogram([counts, second_counts], legend=legend)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:33.681069Z", "start_time": "2021-07-31T05:08:33.494469Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_histogram([counts, second_counts], legend=legend, sort='desc', figsize=(15,12), \n", " color=['orange', 'black'], bar_labels=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using the output from plot_histogram()\n", "\n", "When using the `plot_histogram()` function, it returns a `matplotlib.Figure` for the rendered visualization. Jupyter notebooks understand this return type and render it for us in this tutorial, but when running outside of Jupyter you do not have this feature automatically. However, the `matplotlib.Figure` class natively has methods to both display and save the visualization. You can call `.show()` on the returned object from `plot_histogram()` to open the image in a new window (assuming your configured matplotlib backend is interactive). Or alternatively you can call `.savefig('out.png')` to save the figure to `out.png`. The `savefig()` method takes a path so you can adjust the location and filename where you're saving the output." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot State " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In many situations you want to see the state of a quantum computer. This could be for debugging. Here we assume you have this state (either from simulation or state tomography) and the goal is to visualize the quantum state. This requires exponential resources, so we advise to only view the state of small quantum systems. There are several functions for generating different types of visualization of a quantum state\n", "\n", "```\n", "plot_state_city(quantum_state)\n", "plot_state_qsphere(quantum_state)\n", "plot_state_paulivec(quantum_state)\n", "plot_state_hinton(quantum_state)\n", "plot_bloch_multivector(quantum_state)\n", "```\n", "\n", "A quantum state is either a density matrix $\\rho$ (Hermitian matrix) or statevector $|\\psi\\rangle$ (complex vector). The density matrix is related to the statevector by \n", "\n", "$$\\rho = |\\psi\\rangle\\langle \\psi|,$$\n", "\n", "and is more general as it can represent mixed states (positive sum of statevectors) \n", "\n", "$$\\rho = \\sum_k p_k |\\psi_k\\rangle\\langle \\psi_k |.$$\n", "\n", "The visualizations generated by the functions are:\n", "\n", "- `'plot_state_city'`: The standard view for quantum states where the real and imaginary (imag) parts of the density matrix are plotted like a city.\n", "\n", "- `'plot_state_qsphere'`: The Qiskit unique view of a quantum state where the amplitude and phase of the state vector are plotted in a spherical ball. The amplitude is the thickness of the arrow and the phase is the color. For mixed states it will show different `'qsphere'` for each component.\n", "\n", "- `'plot_state_paulivec'`: The representation of the density matrix using Pauli operators as the basis $\\rho=\\sum_{q=0}^{d^2-1}p_jP_j/d$.\n", "\n", "- `'plot_state_hinton'`: Same as `'city'` but where the size of the element represents the value of the matrix element.\n", "\n", "- `'plot_bloch_multivector'`: The projection of the quantum state onto the single qubit space and plotting on a bloch sphere." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:38.155610Z", "start_time": "2021-07-31T05:08:38.152536Z" } }, "outputs": [], "source": [ "from qiskit.visualization import plot_state_city, plot_bloch_multivector\n", "from qiskit.visualization import plot_state_paulivec, plot_state_hinton\n", "from qiskit.visualization import plot_state_qsphere" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:53.778558Z", "start_time": "2021-07-31T05:08:53.767409Z" } }, "outputs": [], "source": [ "# execute the quantum circuit \n", "backend = BasicAer.get_backend('statevector_simulator') # the device to run on\n", "result = backend.run(transpile(bell, backend)).result()\n", "psi = result.get_statevector(bell)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:55.480726Z", "start_time": "2021-07-31T05:08:54.964494Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_state_city(psi)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:56.152890Z", "start_time": "2021-07-31T05:08:55.944830Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_state_hinton(psi)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:58.220624Z", "start_time": "2021-07-31T05:08:56.933497Z" }, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_state_qsphere(psi)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:58.370300Z", "start_time": "2021-07-31T05:08:58.223788Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_state_paulivec(psi)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:08:59.932552Z", "start_time": "2021-07-31T05:08:59.518913Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_multivector(psi)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see that there is no information about the quantum state in the single qubit space as all vectors are zero. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Options when using state plotting functions\n", "\n", "The various functions for plotting quantum states provide a number of options to adjust how the plots are rendered. Which options are available depends on the function being used." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**plot_state_city()** options\n", "\n", "- **title** (str): a string that represents the plot title\n", "- **figsize** (tuple): figure size in inches (width, height).\n", "- **color** (list): a list of len=2 giving colors for real and imaginary components of matrix elements." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:09:02.178208Z", "start_time": "2021-07-31T05:09:01.864008Z" }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_state_city(psi, title=\"My City\", color=['black', 'orange'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**plot_state_hinton()** options\n", "\n", "- **title** (str): a string that represents the plot title\n", "- **figsize** (tuple): figure size in inches (width, height)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:09:03.630399Z", "start_time": "2021-07-31T05:09:03.400479Z" }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_state_hinton(psi, title=\"My Hinton\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**plot_state_paulivec()** options\n", "\n", "- **title** (str): a string that represents the plot title\n", "- **figsize** (tuple): figure size in inches (width, height).\n", "- **color** (list or str): color of the expectation value bars." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:09:05.915291Z", "start_time": "2021-07-31T05:09:05.790887Z" }, "scrolled": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_state_paulivec(psi, title=\"My Paulivec\", color=['purple', 'orange', 'green'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**plot_state_qsphere()** options\n", "\n", "- **figsize** (tuple): figure size in inches (width, height)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**plot_bloch_multivector()** options\n", "\n", "- **title** (str): a string that represents the plot title\n", "- **figsize** (tuple): figure size in inches (width, height)." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:09:08.540562Z", "start_time": "2021-07-31T05:09:08.227233Z" }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_multivector(psi, title=\"My Bloch Spheres\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Using the output from state plotting functions\n", "\n", "When using any of the state plotting functions it returns a `matplotlib.Figure` for the rendered visualization. Jupyter notebooks understand this return type and render it for us in this tutorial, but when running outside of Jupyter you do not have this feature automatically. However, the `matplotlib.Figure` class natively has methods to both display and save the visualization. You can call `.show()` on the returned object to open the image in a new window (assuming your configured matplotlib backend is interactive). Or alternatively you can call `.savefig('out.png')` to save the figure to `out.png` in the current working directory. The `savefig()` method takes a path so you can adjust the location and filename where you're saving the output." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot Bloch Vector \n", "\n", "A standard way of plotting a quantum system is using the Bloch vector. This only works for a single qubit and takes as input the Bloch vector. \n", "\n", "The Bloch vector is defined as $[x = \\mathrm{Tr}[X \\rho], y = \\mathrm{Tr}[Y \\rho], z = \\mathrm{Tr}[Z \\rho]]$, where $X$, $Y$, and $Z$ are the Pauli operators for a single qubit and $\\rho$ is the density matrix.\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:09:13.556822Z", "start_time": "2021-07-31T05:09:13.553512Z" } }, "outputs": [], "source": [ "from qiskit.visualization import plot_bloch_vector" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:09:14.078221Z", "start_time": "2021-07-31T05:09:13.830668Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_vector([0,1,0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Options for plot_bloch_vector()\n", "\n", "- **title** (str): a string that represents the plot title\n", "- **figsize** (tuple): Figure size in inches (width, height)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:09:16.121246Z", "start_time": "2021-07-31T05:09:15.903295Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot_bloch_vector([0,1,0], title='My Bloch Sphere')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adjusting the output from plot_bloch_vector()\n", "\n", "When using the `plot_bloch_vector` function it returns a `matplotlib.Figure` for the rendered visualization. Jupyter notebooks understand this return type and render it for us in this tutorial, but when running outside of Jupyter you do not have this feature automatically. However, the `matplotlib.Figure` class natively has methods to both display and save the visualization. You can call `.show()` on the returned object to open the image in a new window (assuming your configured matplotlib backend is interactive). Or alternatively you can call `.savefig('out.png')` to save the figure to `out.png` in the current working directory. The `savefig()` method takes a path so you can adjust the location and filename where you're saving the output." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:09:18.283600Z", "start_time": "2021-07-31T05:09:17.464585Z" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.22.2
qiskit-aer0.11.1
qiskit-ibmq-provider0.19.2
qiskit0.39.2
System information
Python version3.10.6
Python compilerGCC 11.2.0
Python buildmain, Oct 24 2022 16:07:47
OSLinux
CPUs10
Memory (Gb)7.676124572753906
Fri Nov 11 04:47:42 2022 JST
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This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

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" } }, "f7307b9900e040c1adfeb3e2d5f74d3d": { "model_module": "@jupyter-widgets/controls", "model_module_version": "1.5.0", "model_name": "ButtonStyleModel", "state": { "button_color": "white" } }, "ff0b6c3c0fd54ad1917f57a2f17ac780": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": { "width": "95px" } } }, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 1 } ================================================ FILE: tutorials/circuits/3_summary_of_quantum_operations.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Summary of Quantum Operations " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " In this section we will go into the different operations that are available in Qiskit Terra. These are:\n", "\n", "- Single-qubit quantum gates\n", "- Multi-qubit quantum gates\n", "- Measurements\n", "- Reset\n", "- Conditionals\n", "- State initialization\n", "\n", "We will also show you how to use the three different simulators:\n", "\n", "- unitary_simulator\n", "- qasm_simulator\n", "- statevector_simulator" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:10:06.399483Z", "start_time": "2021-07-31T05:10:06.113598Z" } }, "outputs": [], "source": [ "# Useful additional packages \n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from math import pi" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:10:07.863361Z", "start_time": "2021-07-31T05:10:06.401320Z" } }, "outputs": [], "source": [ "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister, transpile\n", "from qiskit.tools.visualization import circuit_drawer\n", "from qiskit.quantum_info import state_fidelity\n", "from qiskit import BasicAer\n", "\n", "backend = BasicAer.get_backend('unitary_simulator')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Single Qubit Quantum states \n", "\n", "A single qubit quantum state can be written as\n", "\n", "$$\\left|\\psi\\right\\rangle = \\alpha\\left|0\\right\\rangle + \\beta \\left|1\\right\\rangle$$\n", "\n", "\n", "where $\\alpha$ and $\\beta$ are complex numbers. In a measurement the probability of the bit being in $\\left|0\\right\\rangle$ is $|\\alpha|^2$ and $\\left|1\\right\\rangle$ is $|\\beta|^2$. As a vector this is\n", "\n", "$$\n", "\\left|\\psi\\right\\rangle = \n", "\\begin{pmatrix}\n", "\\alpha \\\\\n", "\\beta\n", "\\end{pmatrix}.\n", "$$\n", "\n", "Note, due to the conservation of probability $|\\alpha|^2+ |\\beta|^2 = 1$ and since global phase is undetectable $\\left|\\psi\\right\\rangle := e^{i\\delta} \\left|\\psi\\right\\rangle$ we only require two real numbers to describe a single qubit quantum state.\n", "\n", "A convenient representation is\n", "\n", "$$\\left|\\psi\\right\\rangle = \\cos(\\theta/2)\\left|0\\right\\rangle + \\sin(\\theta/2)e^{i\\phi}\\left|1\\right\\rangle$$\n", "\n", "where $0\\leq \\phi < 2\\pi$, and $0\\leq \\theta \\leq \\pi$. From this, it is clear that there is a one-to-one correspondence between qubit states ($\\mathbb{C}^2$) and the points on the surface of a unit sphere ($\\mathbb{S}^2$). This is called the Bloch sphere representation of a qubit state.\n", "\n", "Quantum gates/operations are usually represented as matrices. A gate which acts on a qubit is represented by a $2\\times 2$ unitary matrix $U$. The action of the quantum gate is found by multiplying the matrix representing the gate with the vector which represents the quantum state.\n", "\n", "$$\\left|\\psi'\\right\\rangle = U\\left|\\psi\\right\\rangle$$\n", "\n", "A general unitary must be able to take the $\\left|0\\right\\rangle$ to the above state. That is \n", "\n", "$$\n", "U = \\begin{pmatrix}\n", "\\cos(\\theta/2) & a \\\\\n", "e^{i\\phi}\\sin(\\theta/2) & b \n", "\\end{pmatrix}\n", "$$ \n", "\n", "where $a$ and $b$ are complex numbers constrained such that $U^\\dagger U = I$ for all $0\\leq\\theta\\leq\\pi$ and $0\\leq \\phi<2\\pi$. This gives 3 constraints and as such $a\\rightarrow -e^{i\\lambda}\\sin(\\theta/2)$ and $b\\rightarrow e^{i\\lambda+i\\phi}\\cos(\\theta/2)$ where $0\\leq \\lambda<2\\pi$ giving \n", "\n", "$$\n", "U(\\theta, \\phi, \\lambda) =\n", " \\begin{pmatrix}\n", " \\cos\\left(\\frac{\\theta}{2}\\right) & -e^{i\\lambda}\\sin\\left(\\frac{\\theta}{2}\\right) \\\\\n", " e^{i\\phi}\\sin\\left(\\frac{\\theta}{2}\\right) & e^{i(\\phi+\\lambda)}\\cos\\left(\\frac{\\theta}{2}\\right)\n", " \\end{pmatrix}\n", "$$\n", "\n", "This is the most general form of a single qubit unitary." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Single-Qubit Gates \n", "\n", "The single-qubit gates available are:\n", "- U gate\n", "- P gate\n", "- Identity gate\n", "- Pauli gates\n", "- Clifford gates\n", "- $C3$ gates\n", "- Standard rotation gates \n", "\n", "We have provided a backend: `unitary_simulator` to allow you to calculate the unitary matrices. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:10:08.577924Z", "start_time": "2021-07-31T05:10:08.575044Z" } }, "outputs": [], "source": [ "q = QuantumRegister(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### U gate\n", "\n", "In Qiskit we give you access to the general unitary using the $u$ gate, which has the following matrix form\n", "\n", "$$\n", "U(\\theta, \\phi, \\lambda) =\n", " \\begin{pmatrix}\n", " \\cos\\left(\\frac{\\theta}{2}\\right) & -e^{i\\lambda}\\sin\\left(\\frac{\\theta}{2}\\right) \\\\\n", " e^{i\\phi}\\sin\\left(\\frac{\\theta}{2}\\right) & e^{i(\\phi+\\lambda)}\\cos\\left(\\frac{\\theta}{2}\\right)\n", " \\end{pmatrix}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:10:09.406278Z", "start_time": "2021-07-31T05:10:09.398661Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌────────────────┐\n",
       "q0: ┤ U(π/2,π/4,π/8) ├\n",
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" ], "text/plain": [ " ┌────────────────┐\n", "q0: ┤ U(π/2,π/4,π/8) ├\n", " └────────────────┘" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.u(pi/2,pi/4,pi/8,q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:10:10.420628Z", "start_time": "2021-07-31T05:10:10.342207Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.707+0.j , -0.653-0.271j],\n", " [ 0.5 +0.5j , 0.271+0.653j]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "Note on U gate deprecation\n", "\n", "The QuantumCircuit methods $u1$, $u2$ and $u3$ are now deprecated. Instead, the following replacements should be used.\n", "\n", "- $u1(\\lambda) = p(\\lambda) = u(0, 0, \\lambda)$\n", "\n", "- $u2(\\phi, \\lambda) = u(\\frac{\\pi}{2}, \\phi, \\lambda) = p(\\frac{\\pi}{2} + \\phi) \\cdot sx \\cdot p(\\frac{\\pi}{2} - \\lambda)$\n", "\n", "- $u3(\\theta, \\phi, \\lambda) = u(\\theta, \\phi, \\lambda) = p(\\phi + \\pi) \\cdot sx \\cdot p(\\theta + \\pi) \\cdot sx \\cdot p(\\lambda)$\n", "\n", "```python\n", "# qc.u1(lambda) is now:\n", "qc.p(lambda)\n", "\n", "# qc.u2(phi, lambda) is now:\n", "qc.u(pi/2, phi, lambda)\n", "\n", "# qc.u3(theta, phi, lambda) is now:\n", "qc.u(theta, phi, lambda)\n", "```\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### P gate\n", "\n", "The $p(\\lambda)= u(0, 0, \\lambda)$ gate has the matrix form\n", "\n", "$$\n", "p(\\lambda) = \n", "\\begin{pmatrix}\n", "1 & 0 \\\\\n", "0 & e^{i \\lambda}\n", "\\end{pmatrix},\n", "$$\n", "\n", "which is useful as it allows us to apply a quantum phase." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:10:51.997454Z", "start_time": "2021-07-31T05:10:51.992620Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌────────┐\n",
       "q0: ┤ P(π/2) ├\n",
       "    └────────┘
" ], "text/plain": [ " ┌────────┐\n", "q0: ┤ P(π/2) ├\n", " └────────┘" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.p(pi/2,q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:10:58.149042Z", "start_time": "2021-07-31T05:10:58.138158Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+1.j]])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Identity gate\n", "\n", "The identity gate is $Id = p(0)$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:00.799001Z", "start_time": "2021-07-31T05:11:00.794172Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌───┐\n",
       "q0: ┤ I ├\n",
       "    └───┘
" ], "text/plain": [ " ┌───┐\n", "q0: ┤ I ├\n", " └───┘" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.id(q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:03.627749Z", "start_time": "2021-07-31T05:11:03.619164Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j]])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pauli gates\n", "\n", "#### $X$: bit-flip gate\n", "\n", "The bit-flip gate $X$ is defined as:\n", "\n", "$$\n", "X = \n", "\\begin{pmatrix}\n", "0 & 1\\\\\n", "1 & 0\n", "\\end{pmatrix}= u(\\pi,0,\\pi)\n", "$$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:05.287138Z", "start_time": "2021-07-31T05:11:05.281859Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌───┐\n",
       "q0: ┤ X ├\n",
       "    └───┘
" ], "text/plain": [ " ┌───┐\n", "q0: ┤ X ├\n", " └───┘" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.x(q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:07.285569Z", "start_time": "2021-07-31T05:11:07.276242Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[0.+0.j, 1.+0.j],\n", " [1.+0.j, 0.+0.j]])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### $Y$: bit- and phase-flip gate\n", "\n", "The $Y$ gate is defined as:\n", "\n", "$$\n", "Y = \n", "\\begin{pmatrix}\n", "0 & -i\\\\\n", "i & 0\n", "\\end{pmatrix}=u(\\pi,\\pi/2,\\pi/2)\n", "$$" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:09.274252Z", "start_time": "2021-07-31T05:11:09.270141Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌───┐\n",
       "q0: ┤ Y ├\n",
       "    └───┘
" ], "text/plain": [ " ┌───┐\n", "q0: ┤ Y ├\n", " └───┘" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.y(q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:11.878524Z", "start_time": "2021-07-31T05:11:11.868931Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.+0.j, -0.-1.j],\n", " [ 0.+1.j, 0.+0.j]])" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### $Z$: phase-flip gate\n", "\n", "The phase-flip gate $Z$ is defined as:\n", "\n", "$$\n", "Z = \n", "\\begin{pmatrix}\n", "1 & 0\\\\\n", "0 & -1\n", "\\end{pmatrix}=p(\\pi)\n", "$$" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:13.903719Z", "start_time": "2021-07-31T05:11:13.898408Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌───┐\n",
       "q0: ┤ Z ├\n",
       "    └───┘
" ], "text/plain": [ " ┌───┐\n", "q0: ┤ Z ├\n", " └───┘" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.z(q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:17.430999Z", "start_time": "2021-07-31T05:11:17.420906Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 1.+0.j, 0.+0.j],\n", " [ 0.+0.j, -1.+0.j]])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Clifford gates\n", "\n", "#### Hadamard gate\n", "\n", "$$\n", "H = \n", "\\frac{1}{\\sqrt{2}}\n", "\\begin{pmatrix}\n", "1 & 1\\\\\n", "1 & -1\n", "\\end{pmatrix}= u(\\pi/2,0,\\pi)\n", "$$" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:24.374244Z", "start_time": "2021-07-31T05:11:24.369684Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌───┐\n",
       "q0: ┤ H ├\n",
       "    └───┘
" ], "text/plain": [ " ┌───┐\n", "q0: ┤ H ├\n", " └───┘" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.h(q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:24.964793Z", "start_time": "2021-07-31T05:11:24.956019Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.707+0.j, 0.707-0.j],\n", " [ 0.707+0.j, -0.707+0.j]])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### $S$ (or, $\\sqrt{Z}$ phase) gate\n", "\n", "$$\n", "S = \n", "\\begin{pmatrix}\n", "1 & 0\\\\\n", "0 & i\n", "\\end{pmatrix}= p(\\pi/2)\n", "$$" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:27.577029Z", "start_time": "2021-07-31T05:11:27.572229Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌───┐\n",
       "q0: ┤ S ├\n",
       "    └───┘
" ], "text/plain": [ " ┌───┐\n", "q0: ┤ S ├\n", " └───┘" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.s(q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:30.150288Z", "start_time": "2021-07-31T05:11:30.141012Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+1.j]])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### $S^{\\dagger}$ (or, conjugate of $\\sqrt{Z}$ phase) gate\n", "\n", "$$\n", "S^{\\dagger} = \n", "\\begin{pmatrix}\n", "1 & 0\\\\\n", "0 & -i\n", "\\end{pmatrix}= p(-\\pi/2)\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:31.674786Z", "start_time": "2021-07-31T05:11:31.669677Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌─────┐\n",
       "q0: ┤ Sdg ├\n",
       "    └─────┘
" ], "text/plain": [ " ┌─────┐\n", "q0: ┤ Sdg ├\n", " └─────┘" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.sdg(q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:34.228098Z", "start_time": "2021-07-31T05:11:34.218323Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j],\n", " [0.+0.j, 0.-1.j]])" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### $C3$ gates\n", "#### $T$ (or, $\\sqrt{S}$ phase) gate\n", "\n", "$$\n", "T = \n", "\\begin{pmatrix}\n", "1 & 0\\\\\n", "0 & e^{i \\pi/4}\n", "\\end{pmatrix}= p(\\pi/4) \n", "$$" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:35.573569Z", "start_time": "2021-07-31T05:11:35.568858Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌───┐\n",
       "q0: ┤ T ├\n",
       "    └───┘
" ], "text/plain": [ " ┌───┐\n", "q0: ┤ T ├\n", " └───┘" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.t(q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:38.030353Z", "start_time": "2021-07-31T05:11:38.020798Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1. +0.j , 0. +0.j ],\n", " [0. +0.j , 0.707+0.707j]])" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### $T^{\\dagger}$ (or, conjugate of $\\sqrt{S}$ phase) gate\n", "\n", "$$\n", "T^{\\dagger} = \n", "\\begin{pmatrix}\n", "1 & 0\\\\\n", "0 & e^{-i \\pi/4}\n", "\\end{pmatrix}= p(-\\pi/4)\n", "$$" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:39.747528Z", "start_time": "2021-07-31T05:11:39.742799Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌─────┐\n",
       "q0: ┤ Tdg ├\n",
       "    └─────┘
" ], "text/plain": [ " ┌─────┐\n", "q0: ┤ Tdg ├\n", " └─────┘" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.tdg(q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:43.129450Z", "start_time": "2021-07-31T05:11:43.119304Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1. +0.j , 0. +0.j ],\n", " [0. +0.j , 0.707-0.707j]])" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Standard Rotations\n", "\n", "The standard rotation gates are those that define rotations around the Paulis $P=\\{X,Y,Z\\}$. They are defined as \n", "\n", "$$ R_P(\\theta) = \\exp(-i \\theta P/2) = \\cos(\\theta/2)I -i \\sin(\\theta/2)P$$\n", "\n", "#### Rotation around X-axis\n", "\n", "$$\n", "R_x(\\theta) = \n", "\\begin{pmatrix}\n", "\\cos(\\theta/2) & -i\\sin(\\theta/2)\\\\\n", "-i\\sin(\\theta/2) & \\cos(\\theta/2)\n", "\\end{pmatrix} = u(\\theta, -\\pi/2,\\pi/2)\n", "$$" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:43.968605Z", "start_time": "2021-07-31T05:11:43.963670Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌─────────┐\n",
       "q0: ┤ Rx(π/2) ├\n",
       "    └─────────┘
" ], "text/plain": [ " ┌─────────┐\n", "q0: ┤ Rx(π/2) ├\n", " └─────────┘" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.rx(pi/2,q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:47.140262Z", "start_time": "2021-07-31T05:11:47.128900Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.707+0.j , -0. -0.707j],\n", " [ 0. -0.707j, 0.707+0.j ]])" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Rotation around Y-axis\n", "\n", "$$\n", "R_y(\\theta) =\n", "\\begin{pmatrix}\n", "\\cos(\\theta/2) & - \\sin(\\theta/2)\\\\\n", "\\sin(\\theta/2) & \\cos(\\theta/2).\n", "\\end{pmatrix} =u(\\theta,0,0)\n", "$$" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:48.483090Z", "start_time": "2021-07-31T05:11:48.477062Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌─────────┐\n",
       "q0: ┤ Ry(π/2) ├\n",
       "    └─────────┘
" ], "text/plain": [ " ┌─────────┐\n", "q0: ┤ Ry(π/2) ├\n", " └─────────┘" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.ry(pi/2,q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:51.011307Z", "start_time": "2021-07-31T05:11:51.001011Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.707+0.j, -0.707+0.j],\n", " [ 0.707+0.j, 0.707+0.j]])" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Rotation around Z-axis\n", "\n", "$$\n", "R_z(\\phi) = \n", "\\begin{pmatrix}\n", "e^{-i \\phi/2} & 0 \\\\\n", "0 & e^{i \\phi/2}\n", "\\end{pmatrix}\\equiv p(\\phi)\n", "$$\n", "\n", "Note that here we have used an equivalent as it is different to $p$ by a global phase $e^{-i \\phi/2}$." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:51.729618Z", "start_time": "2021-07-31T05:11:51.724574Z" } }, "outputs": [ { "data": { "text/html": [ "
    ┌─────────┐\n",
       "q0: ┤ Rz(π/2) ├\n",
       "    └─────────┘
" ], "text/plain": [ " ┌─────────┐\n", "q0: ┤ Rz(π/2) ├\n", " └─────────┘" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.rz(pi/2,q)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:54.372720Z", "start_time": "2021-07-31T05:11:54.363623Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[0.707-0.707j, 0. +0.j ],\n", " [0. +0.j , 0.707+0.707j]])" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note this is different due only to a global phase." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multi-Qubit Gates \n", "\n", "### Mathematical Preliminaries\n", "\n", "The space of a quantum computer grows exponentially with the number of qubits. For $n$ qubits the complex vector space has dimension $d=2^n$. To describe states of a multi-qubit system, the tensor product is used to \"glue together\" operators and basis vectors.\n", "\n", "Let's start by considering a 2-qubit system. Given two operators $A$ and $B$ that each act on one qubit, the joint operator $A \\otimes B$ acting on two qubits is\n", "\n", "$$\\begin{equation}\n", "\tA\\otimes B = \n", "\t\\begin{pmatrix} \n", "\t\tA_{00} \\begin{pmatrix} \n", "\t\t\tB_{00} & B_{01} \\\\\n", "\t\t\tB_{10} & B_{11}\n", "\t\t\\end{pmatrix} & A_{01} \t\\begin{pmatrix} \n", "\t\t\t\tB_{00} & B_{01} \\\\\n", "\t\t\t\tB_{10} & B_{11}\n", "\t\t\t\\end{pmatrix} \\\\\n", "\t\tA_{10} \t\\begin{pmatrix} \n", "\t\t\t\t\tB_{00} & B_{01} \\\\\n", "\t\t\t\t\tB_{10} & B_{11}\n", "\t\t\t\t\\end{pmatrix} & A_{11} \t\\begin{pmatrix} \n", "\t\t\t\t\t\t\tB_{00} & B_{01} \\\\\n", "\t\t\t\t\t\t\tB_{10} & B_{11}\n", "\t\t\t\t\t\t\\end{pmatrix}\n", "\t\\end{pmatrix},\t\t\t\t\t\t\n", "\\end{equation}$$\n", "\n", "where $A_{jk}$ and $B_{lm}$ are the matrix elements of $A$ and $B$, respectively.\n", "\n", "Analogously, the basis vectors for the 2-qubit system are formed using the tensor product of basis vectors for a single qubit:\n", "$$\\begin{equation}\\begin{split}\n", "\t\\left|{00}\\right\\rangle &= \\begin{pmatrix} \n", "\t\t1 \\begin{pmatrix} \n", "\t\t\t1 \\\\\n", "\t\t\t0\n", "\t\t\\end{pmatrix} \\\\\n", "\t\t0 \\begin{pmatrix} \n", "\t\t\t1 \\\\\n", "\t\t\t0 \n", "\t\t\\end{pmatrix}\n", "\t\\end{pmatrix} = \\begin{pmatrix} 1 \\\\ 0 \\\\ 0 \\\\0 \\end{pmatrix}~~~\\left|{01}\\right\\rangle = \\begin{pmatrix} \n", "\t1 \\begin{pmatrix} \n", "\t0 \\\\\n", "\t1\n", "\t\\end{pmatrix} \\\\\n", "\t0 \\begin{pmatrix} \n", "\t0 \\\\\n", "\t1 \n", "\t\\end{pmatrix}\n", "\t\\end{pmatrix} = \\begin{pmatrix}0 \\\\ 1 \\\\ 0 \\\\ 0 \\end{pmatrix}\\end{split}\n", "\\end{equation}$$\n", " \n", "$$\\begin{equation}\\begin{split}\\left|{10}\\right\\rangle = \\begin{pmatrix} \n", "\t0\\begin{pmatrix} \n", "\t1 \\\\\n", "\t0\n", "\t\\end{pmatrix} \\\\\n", "\t1\\begin{pmatrix} \n", "\t1 \\\\\n", "\t0 \n", "\t\\end{pmatrix}\n", "\t\\end{pmatrix} = \\begin{pmatrix} 0 \\\\ 0 \\\\ 1 \\\\ 0 \\end{pmatrix}~~~ \t\\left|{11}\\right\\rangle = \\begin{pmatrix} \n", "\t0 \\begin{pmatrix} \n", "\t0 \\\\\n", "\t1\n", "\t\\end{pmatrix} \\\\\n", "\t1\\begin{pmatrix} \n", "\t0 \\\\\n", "\t1 \n", "\t\\end{pmatrix}\n", "\t\\end{pmatrix} = \\begin{pmatrix} 0 \\\\ 0 \\\\ 0 \\\\1 \\end{pmatrix}\\end{split}\n", "\\end{equation}.$$\n", "\n", "Note we've introduced a shorthand for the tensor product of basis vectors, wherein $\\left|0\\right\\rangle \\otimes \\left|0\\right\\rangle$ is written as $\\left|00\\right\\rangle$. The state of an $n$-qubit system can be described using the $n$-fold tensor product of single-qubit basis vectors. Notice that the basis vectors for a 2-qubit system are 4-dimensional; in general, the basis vectors of an $n$-qubit system are $2^{n}$-dimensional, as noted earlier.\n", "\n", "### Basis vector ordering in Qiskit\n", "\n", "Within the physics community, the qubits of a multi-qubit systems are typically ordered with the first qubit on the left-most side of the tensor product and the last qubit on the right-most side. For instance, if the first qubit is in state $\\left|0\\right\\rangle$ and second is in state $\\left|1\\right\\rangle$, their joint state would be $\\left|01\\right\\rangle$. Qiskit uses a slightly different ordering of the qubits, in which the qubits are represented from the most significant bit (MSB) on the left to the least significant bit (LSB) on the right (little-endian). This is similar to bitstring representation on classical computers, and enables easy conversion from bitstrings to integers after measurements are performed. For the example just given, the joint state would be represented as $\\left|10\\right\\rangle$. Importantly, *this change in the representation of multi-qubit states affects the way multi-qubit gates are represented in Qiskit*, as discussed below.\n", "\n", "The representation used in Qiskit enumerates the basis vectors in increasing order of the integers they represent. For instance, the basis vectors for a 2-qubit system would be ordered as $\\left|00\\right\\rangle$, $\\left|01\\right\\rangle$, $\\left|10\\right\\rangle$, and $\\left|11\\right\\rangle$. Thinking of the basis vectors as bit strings, they encode the integers 0,1,2 and 3, respectively.\n", "\n", "\n", "### Controlled operations on qubits\n", "\n", "A common multi-qubit gate involves the application of a gate to one qubit, conditioned on the state of another qubit. For instance, we might want to flip the state of the second qubit when the first qubit is in $\\left|0\\right\\rangle$. Such gates are known as _controlled gates_. The standard multi-qubit gates consist of two-qubit gates and three-qubit gates. The two-qubit gates are:\n", "- controlled Pauli gates\n", "- controlled Hadamard gate\n", "- controlled rotation gates\n", "- controlled phase gate\n", "- controlled u3 gate\n", "- swap gate\n", "\n", "The three-qubit gates are: \n", "- Toffoli gate \n", "- Fredkin gate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Two-qubit gates \n", "\n", "Most of the two-qubit gates are of the controlled type (the SWAP gate being the exception). In general, a controlled two-qubit gate $C_{U}$ acts to apply the single-qubit unitary $U$ to the second qubit when the state of the first qubit is in $\\left|1\\right\\rangle$. Suppose $U$ has a matrix representation\n", "\n", "$$U = \\begin{pmatrix} u_{00} & u_{01} \\\\ u_{10} & u_{11}\\end{pmatrix}.$$\n", "\n", "We can work out the action of $C_{U}$ as follows. Recall that the basis vectors for a two-qubit system are ordered as $\\left|00\\right\\rangle, \\left|01\\right\\rangle, \\left|10\\right\\rangle, \\left|11\\right\\rangle$. Suppose the **control qubit** is **qubit 0** (which, according to Qiskit's convention, is one the _right-hand_ side of the tensor product). If the control qubit is in $\\left|1\\right\\rangle$, $U$ should be applied to the **target** (qubit 1, on the _left-hand_ side of the tensor product). Therefore, under the action of $C_{U}$, the basis vectors are transformed according to\n", "\n", "$$\\begin{align*}\n", "C_{U}: \\underset{\\text{qubit}~1}{\\left|0\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|0\\right\\rangle} &\\rightarrow \\underset{\\text{qubit}~1}{\\left|0\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|0\\right\\rangle}\\\\\n", "C_{U}: \\underset{\\text{qubit}~1}{\\left|0\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|1\\right\\rangle} &\\rightarrow \\underset{\\text{qubit}~1}{U\\left|0\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|1\\right\\rangle}\\\\\n", "C_{U}: \\underset{\\text{qubit}~1}{\\left|1\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|0\\right\\rangle} &\\rightarrow \\underset{\\text{qubit}~1}{\\left|1\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|0\\right\\rangle}\\\\\n", "C_{U}: \\underset{\\text{qubit}~1}{\\left|1\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|1\\right\\rangle} &\\rightarrow \\underset{\\text{qubit}~1}{U\\left|1\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|1\\right\\rangle}\\\\\n", "\\end{align*}.$$\n", "\n", "In matrix form, the action of $C_{U}$ is\n", "\n", "$$\\begin{equation}\n", "\tC_U = \\begin{pmatrix}\n", "\t1 & 0 & 0 & 0 \\\\\n", "\t0 & u_{00} & 0 & u_{01} \\\\\n", "\t0 & 0 & 1 & 0 \\\\\n", "\t0 & u_{10} &0 & u_{11}\n", "\t\t\\end{pmatrix}.\n", "\\end{equation}$$\n", "\n", "To work out these matrix elements, let\n", "\n", "$$C_{(jk), (lm)} = \\left(\\underset{\\text{qubit}~1}{\\left\\langle j \\right|} \\otimes \\underset{\\text{qubit}~0}{\\left\\langle k \\right|}\\right) C_{U} \\left(\\underset{\\text{qubit}~1}{\\left| l \\right\\rangle} \\otimes \\underset{\\text{qubit}~0}{\\left| m \\right\\rangle}\\right),$$\n", "\n", "compute the action of $C_{U}$ (given above), and compute the inner products.\n", "\n", "As shown in the examples below, this operation is implemented in Qiskit as `cU(q[0],q[1])`.\n", "\n", "\n", "If **qubit 1 is the control and qubit 0 is the target**, then the basis vectors are transformed according to\n", "$$\\begin{align*}\n", "C_{U}: \\underset{\\text{qubit}~1}{\\left|0\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|0\\right\\rangle} &\\rightarrow \\underset{\\text{qubit}~1}{\\left|0\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|0\\right\\rangle}\\\\\n", "C_{U}: \\underset{\\text{qubit}~1}{\\left|0\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|1\\right\\rangle} &\\rightarrow \\underset{\\text{qubit}~1}{\\left|0\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|1\\right\\rangle}\\\\\n", "C_{U}: \\underset{\\text{qubit}~1}{\\left|1\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|0\\right\\rangle} &\\rightarrow \\underset{\\text{qubit}~1}{\\left|1\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{U\\left|0\\right\\rangle}\\\\\n", "C_{U}: \\underset{\\text{qubit}~1}{\\left|1\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{\\left|1\\right\\rangle} &\\rightarrow \\underset{\\text{qubit}~1}{\\left|1\\right\\rangle}\\otimes \\underset{\\text{qubit}~0}{U\\left|1\\right\\rangle}\\\\\n", "\\end{align*},$$\n", "\n", "\n", "which implies the matrix form of $C_{U}$ is\n", "$$\\begin{equation}\n", "\tC_U = \\begin{pmatrix}\n", "\t1 & 0 & 0 & 0 \\\\\n", "\t0 & 1 & 0 & 0 \\\\\n", "\t0 & 0 & u_{00} & u_{01} \\\\\n", "\t0 & 0 & u_{10} & u_{11}\n", "\t\t\\end{pmatrix}.\n", "\\end{equation}$$" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:57.864527Z", "start_time": "2021-07-31T05:11:57.861603Z" } }, "outputs": [], "source": [ "q = QuantumRegister(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Controlled Pauli Gates\n", "\n", "#### Controlled-X (or, Controlled-NOT) gate\n", "The Controlled-NOT gate flips the `target` qubit when the control qubit is in the state $\\left|1\\right\\rangle$. If we take the MSB as the control qubit (e.g. `cx(q[1],q[0])`), then the matrix would look like\n", "\n", "$$\n", "C_X = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & 1 & 0 & 0\\\\\n", "0 & 0 & 0 & 1\\\\\n", "0 & 0 & 1 & 0\n", "\\end{pmatrix}. \n", "$$\n", "\n", "However, when the LSB is the control qubit, (e.g. `cx(q[0],q[1])`), this gate is equivalent to the following matrix:\n", "\n", "$$\n", "C_X = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & 0 & 0 & 1\\\\\n", "0 & 0 & 1 & 0\\\\\n", "0 & 1 & 0 & 0\n", "\\end{pmatrix}. \n", "$$\n", "\n" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:11:59.251955Z", "start_time": "2021-07-31T05:11:59.245837Z" } }, "outputs": [ { "data": { "text/html": [ "
            \n",
       "q60_0: ──■──\n",
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" ], "text/plain": [ " \n", "q60_0: ──■──\n", " ┌─┴─┐\n", "q60_1: ┤ X ├\n", " └───┘" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.cx(q[0],q[1])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:02.300793Z", "start_time": "2021-07-31T05:12:02.292637Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j]])" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Controlled $Y$ gate\n", "\n", "Apply the $Y$ gate to the target qubit if the control qubit is the MSB\n", "\n", "$$\n", "C_Y = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & 1 & 0 & 0\\\\\n", "0 & 0 & 0 & -i\\\\\n", "0 & 0 & i & 0\n", "\\end{pmatrix},\n", "$$\n", "\n", "or when the LSB is the control\n", "\n", "$$\n", "C_Y = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & 0 & 0 & -i\\\\\n", "0 & 0 & 1 & 0\\\\\n", "0 & i & 0 & 0\n", "\\end{pmatrix}.\n", "$$" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:04.293988Z", "start_time": "2021-07-31T05:12:04.285941Z" } }, "outputs": [ { "data": { "text/html": [ "
            \n",
       "q60_0: ──■──\n",
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       "q60_1: ┤ Y ├\n",
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" ], "text/plain": [ " \n", "q60_0: ──■──\n", " ┌─┴─┐\n", "q60_1: ┤ Y ├\n", " └───┘" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.cy(q[0],q[1])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:07.042556Z", "start_time": "2021-07-31T05:12:07.031367Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.-1.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+1.j, 0.+0.j, 0.+0.j]])" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Controlled $Z$ (or, controlled Phase-Flip) gate\n", "\n", "Similarly, the controlled Z gate flips the phase of the target qubit if the control qubit is $\\left|1\\right\\rangle$. The matrix looks the same regardless of whether the MSB or LSB is the control qubit:\n", "\n", "$$\n", "C_Z = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & 1 & 0 & 0\\\\\n", "0 & 0 & 1 & 0\\\\\n", "0 & 0 & 0 & -1\n", "\\end{pmatrix}\n", "$$\n" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:08.397786Z", "start_time": "2021-07-31T05:12:08.392065Z" } }, "outputs": [ { "data": { "text/html": [ "
          \n",
       "q60_0: ─■─\n",
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" ], "text/plain": [ " \n", "q60_0: ─■─\n", " │ \n", "q60_1: ─■─\n", " " ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.cz(q[0],q[1])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:10.259460Z", "start_time": "2021-07-31T05:12:10.246478Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 1.-0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [ 0.+0.j, 1.-0.j, 0.+0.j, 0.+0.j],\n", " [ 0.+0.j, 0.+0.j, 1.-0.j, 0.+0.j],\n", " [ 0.+0.j, 0.+0.j, 0.+0.j, -1.+0.j]])" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Controlled Hadamard gate\n", "\n", "Apply $H$ gate to the target qubit if the control qubit is $\\left|1\\right\\rangle$. Below is the case where the control is the LSB qubit.\n", "\n", "$$\n", "C_H = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & \\frac{1}{\\sqrt{2}} & 0 & \\frac{1}{\\sqrt{2}}\\\\\n", "0 & 0 & 1 & 0\\\\\n", "0 & \\frac{1}{\\sqrt{2}} & 0& -\\frac{1}{\\sqrt{2}}\n", "\\end{pmatrix}\n", "$$" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:11.524751Z", "start_time": "2021-07-31T05:12:11.518946Z" } }, "outputs": [ { "data": { "text/html": [ "
            \n",
       "q60_0: ──■──\n",
       "       ┌─┴─┐\n",
       "q60_1: ┤ H ├\n",
       "       └───┘
" ], "text/plain": [ " \n", "q60_0: ──■──\n", " ┌─┴─┐\n", "q60_1: ┤ H ├\n", " └───┘" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.ch(q[0],q[1])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:13.607426Z", "start_time": "2021-07-31T05:12:13.594156Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 1. +0.j, 0. +0.j, 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0.707+0.j, 0. +0.j, 0.707-0.j],\n", " [ 0. +0.j, 0. +0.j, 1. -0.j, 0. +0.j],\n", " [ 0. +0.j, 0.707+0.j, 0. +0.j, -0.707+0.j]])" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Controlled rotation gates\n", "\n", "#### Controlled rotation around Z-axis\n", "\n", "Perform rotation around Z-axis on the target qubit if the control qubit (here LSB) is $\\left|1\\right\\rangle$.\n", "\n", "$$\n", "C_{Rz}(\\lambda) = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & e^{-i\\lambda/2} & 0 & 0\\\\\n", "0 & 0 & 1 & 0\\\\\n", "0 & 0 & 0 & e^{i\\lambda/2}\n", "\\end{pmatrix}\n", "$$" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:14.970661Z", "start_time": "2021-07-31T05:12:14.961038Z" } }, "outputs": [ { "data": { "text/html": [ "
                  \n",
       "q60_0: ─────■─────\n",
       "       ┌────┴────┐\n",
       "q60_1: ┤ Rz(π/2) ├\n",
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" ], "text/plain": [ " \n", "q60_0: ─────■─────\n", " ┌────┴────┐\n", "q60_1: ┤ Rz(π/2) ├\n", " └─────────┘" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.crz(pi/2,q[0],q[1])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:17.186696Z", "start_time": "2021-07-31T05:12:17.171628Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1. +0.j , 0. +0.j , 0. +0.j , 0. +0.j ],\n", " [0. +0.j , 0.707-0.707j, 0. +0.j , 0. +0.j ],\n", " [0. +0.j , 0. +0.j , 1. +0.j , 0. +0.j ],\n", " [0. +0.j , 0. +0.j , 0. +0.j , 0.707+0.707j]])" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Controlled phase rotation\n", "\n", "Perform a phase rotation if both qubits are in the $\\left|11\\right\\rangle$ state. The matrix looks the same regardless of whether the MSB or LSB is the control qubit.\n", "\n", "$$\n", "C_{p}(\\lambda) = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & 1 & 0 & 0\\\\\n", "0 & 0 & 1 & 0\\\\\n", "0 & 0 & 0 & e^{i\\lambda}\n", "\\end{pmatrix}\n", "$$" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:36.826264Z", "start_time": "2021-07-31T05:12:36.820988Z" } }, "outputs": [ { "data": { "text/html": [ "
                \n",
       "q60_0: ─■───────\n",
       "        │P(π/2) \n",
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       "
" ], "text/plain": [ " \n", "q60_0: ─■───────\n", " │P(π/2) \n", "q60_1: ─■───────\n", " " ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.cp(pi/2,q[0], q[1])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:12:39.234989Z", "start_time": "2021-07-31T05:12:39.222992Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+1.j]])" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Controlled $u$ rotation\n", "\n", "Perform controlled-$u$ rotation on the target qubit if the control qubit (here LSB) is $\\left|1\\right\\rangle$. \n", "\n", "$$\n", "C_{u}(\\theta, \\phi, \\lambda) \\equiv \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & e^{-i(\\phi+\\lambda)/2}\\cos(\\theta/2) & 0 & -e^{-i(\\phi-\\lambda)/2}\\sin(\\theta/2)\\\\\n", "0 & 0 & 1 & 0\\\\\n", "0 & e^{i(\\phi-\\lambda)/2}\\sin(\\theta/2) & 0 & e^{i(\\phi+\\lambda)/2}\\cos(\\theta/2)\n", "\\end{pmatrix}.\n", "$$" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:19.155213Z", "start_time": "2021-07-31T05:13:19.148466Z" } }, "outputs": [ { "data": { "text/html": [ "
                           \n",
       "q60_0: ─────────■──────────\n",
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       "q60_1: ┤ U(π/2,π/2,π/2,0) ├\n",
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" ], "text/plain": [ " \n", "q60_0: ─────────■──────────\n", " ┌────────┴─────────┐\n", "q60_1: ┤ U(π/2,π/2,π/2,0) ├\n", " └──────────────────┘" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.cu(pi/2, pi/2, pi/2, 0, q[0], q[1])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:24.393740Z", "start_time": "2021-07-31T05:13:24.378958Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 1. +0.j , 0. +0.j , 0. +0.j , 0. +0.j ],\n", " [ 0. +0.j , 0.707+0.j , 0. +0.j , 0. -0.707j],\n", " [ 0. +0.j , 0. +0.j , 1. -0.j , 0. +0.j ],\n", " [ 0. +0.j , 0. +0.707j, 0. +0.j , -0.707+0.j ]])" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SWAP gate\n", "\n", "The SWAP gate exchanges the two qubits. It transforms the basis vectors as\n", "\n", "$$\\left|00\\right\\rangle \\rightarrow \\left|00\\right\\rangle~,~\\left|01\\right\\rangle \\rightarrow \\left|10\\right\\rangle~,~\\left|10\\right\\rangle \\rightarrow \\left|01\\right\\rangle~,~\\left|11\\right\\rangle \\rightarrow \\left|11\\right\\rangle,$$\n", "\n", "which gives a matrix representation of the form\n", "\n", "$$\n", "\\mathrm{SWAP} = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0\\\\\n", "0 & 0 & 1 & 0\\\\\n", "0 & 1 & 0 & 0\\\\\n", "0 & 0 & 0 & 1\n", "\\end{pmatrix}.\n", "$$" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:26.189896Z", "start_time": "2021-07-31T05:13:26.184311Z" } }, "outputs": [ { "data": { "text/html": [ "
          \n",
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" ], "text/plain": [ " \n", "q60_0: ─X─\n", " │ \n", "q60_1: ─X─\n", " " ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.swap(q[0], q[1])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:28.555864Z", "start_time": "2021-07-31T05:13:28.545777Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j]])" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Three-qubit gates \n", "\n", "\n", "There are two commonly-used three-qubit gates. For three qubits, the basis vectors are ordered as\n", "\n", "$$\\left|000\\right\\rangle, \\left|001\\right\\rangle, \\left|010\\right\\rangle, \\left|011\\right\\rangle, \\left|100\\right\\rangle, \\left|101\\right\\rangle, \\left|110\\right\\rangle, \\left|111\\right\\rangle,$$\n", "\n", "which, as bitstrings, represent the integers $0,1,2,\\cdots, 7$. Again, Qiskit uses a representation in which the first qubit is on the right-most side of the tensor product and the third qubit is on the left-most side:\n", "\n", "$$\\left|abc\\right\\rangle : \\underset{\\text{qubit 2}}{\\left|a\\right\\rangle}\\otimes \\underset{\\text{qubit 1}}{\\left|b\\right\\rangle}\\otimes \\underset{\\text{qubit 0}}{\\left|c\\right\\rangle}.$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Toffoli gate ($ccx$ gate)\n", "\n", "The [Toffoli gate](https://en.wikipedia.org/wiki/Quantum_logic_gate#Toffoli_(CCNOT)_gate) flips the third qubit if the first two qubits (LSB) are both $\\left|1\\right\\rangle$:\n", "\n", "$$\\left|abc\\right\\rangle \\rightarrow \\left|bc\\oplus a\\right\\rangle \\otimes \\left|b\\right\\rangle \\otimes \\left|c\\right\\rangle.$$\n", "\n", "In matrix form, the Toffoli gate is\n", "$$\n", "C_{CX} = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n", "0 & 1 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n", "0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\\\\n", "0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\\\\\n", "0 & 0 & 0 & 0 & 1 & 0 & 0 & 0\\\\\n", "0 & 0 & 0 & 0 & 0 & 1 & 0 & 0\\\\\n", "0 & 0 & 0 & 0 & 0 & 0 & 1 & 0\\\\\n", "0 & 0 & 0 & 1 & 0 & 0 & 0 & 0\n", "\\end{pmatrix}.\n", "$$" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:31.317251Z", "start_time": "2021-07-31T05:13:31.314100Z" } }, "outputs": [], "source": [ "q = QuantumRegister(3)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:31.638567Z", "start_time": "2021-07-31T05:13:31.633001Z" } }, "outputs": [ { "data": { "text/html": [ "
             \n",
       "q105_0: ──■──\n",
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       "q105_1: ──■──\n",
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" ], "text/plain": [ " \n", "q105_0: ──■──\n", " │ \n", "q105_1: ──■──\n", " ┌─┴─┐\n", "q105_2: ┤ X ├\n", " └───┘" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.ccx(q[0], q[1], q[2])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:33.704467Z", "start_time": "2021-07-31T05:13:33.686210Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.-0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.-0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.-0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.-0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j]])" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Controlled swap gate (Fredkin Gate)\n", "\n", "The [Fredkin gate](https://en.wikipedia.org/wiki/Quantum_logic_gate#Fredkin_(CSWAP)_gate), or the *controlled swap gate*, exchanges the second and third qubits if the first qubit (LSB) is $\\left|1\\right\\rangle$:\n", "\n", "$$ \\left|abc\\right\\rangle \\rightarrow \\begin{cases} \\left|bac\\right\\rangle~~\\text{if}~c=1 \\cr \\left|abc\\right\\rangle~~\\text{if}~c=0 \\end{cases}.$$\n", "\n", "In matrix form, the Fredkin gate is\n", "\n", "$$\n", "C_{\\mathrm{SWAP}} = \n", "\\begin{pmatrix}\n", "1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n", "0 & 1 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n", "0 & 0 & 1 & 0 & 0 & 0 & 0 & 0\\\\\n", "0 & 0 & 0 & 0 & 0 & 1 & 0 & 0\\\\\n", "0 & 0 & 0 & 0 & 1 & 0 & 0 & 0\\\\\n", "0 & 0 & 0 & 1 & 0 & 0 & 0 & 0\\\\\n", "0 & 0 & 0 & 0 & 0 & 0 & 1 & 0\\\\\n", "0 & 0 & 0 & 0 & 0 & 0 & 0 & 1\n", "\\end{pmatrix}.\n", "$$" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:35.557144Z", "start_time": "2021-07-31T05:13:35.551515Z" } }, "outputs": [ { "data": { "text/html": [ "
           \n",
       "q105_0: ─■─\n",
       "         │ \n",
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" ], "text/plain": [ " \n", "q105_0: ─■─\n", " │ \n", "q105_1: ─X─\n", " │ \n", "q105_2: ─X─\n", " " ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q)\n", "qc.cswap(q[0], q[1], q[2])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:38.233786Z", "start_time": "2021-07-31T05:13:38.215070Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.-0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.-0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.-0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.-0.j]])" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_unitary(qc, decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Non-unitary operations \n", "\n", "Now that we have gone through all the unitary operations in quantum circuits, we also have access to non-unitary operations. These include measurements, reset of qubits, and classical conditional operations." ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:39.580221Z", "start_time": "2021-07-31T05:13:39.576248Z" } }, "outputs": [], "source": [ "q = QuantumRegister(1)\n", "c = ClassicalRegister(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Measurements\n", "\n", "We don't have access to all the information when we make a measurement in a quantum computer. The quantum state is projected onto the standard basis. Below are two examples showing a circuit that is prepared in a basis state and the quantum computer prepared in a superposition state." ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:40.203535Z", "start_time": "2021-07-31T05:13:40.197117Z" } }, "outputs": [ { "data": { "text/html": [ "
      ┌─┐\n",
       "q124: ┤M├\n",
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" ], "text/plain": [ " ┌─┐\n", "q124: ┤M├\n", " └╥┘\n", "c0: 1/═╩═\n", " 0 " ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q, c)\n", "qc.measure(q, c)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:47.891765Z", "start_time": "2021-07-31T05:13:47.879060Z" } }, "outputs": [ { "data": { "text/plain": [ "{'0': 1024}" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "backend = BasicAer.get_backend('qasm_simulator')\n", "job = backend.run(transpile(qc, backend))\n", "job.result().get_counts(qc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " The simulator predicts that 100 percent of the time the classical register returns 0. " ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:49.501725Z", "start_time": "2021-07-31T05:13:49.495404Z" } }, "outputs": [ { "data": { "text/html": [ "
      ┌───┐┌─┐\n",
       "q124: ┤ H ├┤M├\n",
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       "            0
" ], "text/plain": [ " ┌───┐┌─┐\n", "q124: ┤ H ├┤M├\n", " └───┘└╥┘\n", "c0: 1/══════╩═\n", " 0 " ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q, c)\n", "qc.h(q)\n", "qc.measure(q, c)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:51.913804Z", "start_time": "2021-07-31T05:13:51.902540Z" } }, "outputs": [ { "data": { "text/plain": [ "{'1': 532, '0': 492}" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_counts(qc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " The simulator predicts that 50 percent of the time the classical register returns 0 or 1. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reset\n", "It is also possible to `reset` qubits to the $\\left|0\\right\\rangle$ state in the middle of computation. Note that `reset` is not a Gate operation, since it is irreversible." ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:55.048748Z", "start_time": "2021-07-31T05:13:55.043325Z" } }, "outputs": [ { "data": { "text/html": [ "
           ┌─┐\n",
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" ], "text/plain": [ " ┌─┐\n", "q124: ─|0>─┤M├\n", " └╥┘\n", "c0: 1/══════╩═\n", " 0 " ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q, c)\n", "qc.reset(q[0])\n", "qc.measure(q, c)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:57.317513Z", "start_time": "2021-07-31T05:13:57.305706Z" } }, "outputs": [ { "data": { "text/plain": [ "{'0': 1024}" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_counts(qc)" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:13:57.866910Z", "start_time": "2021-07-31T05:13:57.860240Z" } }, "outputs": [ { "data": { "text/html": [ "
      ┌───┐     ┌─┐\n",
       "q124: ┤ H ├─|0>─┤M├\n",
       "      └───┘     └╥┘\n",
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       "                 0
" ], "text/plain": [ " ┌───┐ ┌─┐\n", "q124: ┤ H ├─|0>─┤M├\n", " └───┘ └╥┘\n", "c0: 1/═══════════╩═\n", " 0 " ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q, c)\n", "qc.h(q)\n", "qc.reset(q[0])\n", "qc.measure(q, c)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:14:01.210349Z", "start_time": "2021-07-31T05:14:01.065350Z" } }, "outputs": [ { "data": { "text/plain": [ "{'0': 1024}" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_counts(qc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see that for both of these circuits the simulator always predicts that the output is 100 percent in the 0 state." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Conditional operations\n", "It is also possible to do operations conditioned on the state of the classical register" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:14:03.421890Z", "start_time": "2021-07-31T05:14:03.416090Z" } }, "outputs": [ { "data": { "text/html": [ "
       ┌───┐ ┌─┐\n",
       "q124: ─┤ X ├─┤M├\n",
       "       └─╥─┘ └╥┘\n",
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       "      └─────┘ 0
" ], "text/plain": [ " ┌───┐ ┌─┐\n", "q124: ─┤ X ├─┤M├\n", " └─╥─┘ └╥┘\n", " ┌──╨──┐ ║ \n", "c0: 1/╡ 0x0 ╞═╩═\n", " └─────┘ 0 " ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q, c)\n", "qc.x(q[0]).c_if(c, 0)\n", "qc.measure(q,c)\n", "qc.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the classical bit always takes the value 0 so the qubit state is always flipped. " ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:14:05.763405Z", "start_time": "2021-07-31T05:14:05.753665Z" } }, "outputs": [ { "data": { "text/plain": [ "{'1': 1024}" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_counts(qc)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:14:07.187387Z", "start_time": "2021-07-31T05:14:07.180366Z" } }, "outputs": [ { "data": { "text/html": [ "
      ┌───┐┌─┐ ┌───┐ ┌─┐\n",
       "q124: ┤ H ├┤M├─┤ X ├─┤M├\n",
       "      └───┘└╥┘ └─╥─┘ └╥┘\n",
       "            ║ ┌──╨──┐ ║ \n",
       "c0: 1/══════╩═╡ 0x0 ╞═╩═\n",
       "            0 └─────┘ 0
" ], "text/plain": [ " ┌───┐┌─┐ ┌───┐ ┌─┐\n", "q124: ┤ H ├┤M├─┤ X ├─┤M├\n", " └───┘└╥┘ └─╥─┘ └╥┘\n", " ║ ┌──╨──┐ ║ \n", "c0: 1/══════╩═╡ 0x0 ╞═╩═\n", " 0 └─────┘ 0 " ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(q, c)\n", "qc.h(q)\n", "qc.measure(q,c)\n", "qc.x(q[0]).c_if(c, 0)\n", "qc.measure(q,c)\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 74, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:14:09.366351Z", "start_time": "2021-07-31T05:14:09.199972Z" } }, "outputs": [ { "data": { "text/plain": [ "{'1': 1024}" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "job = backend.run(transpile(qc, backend))\n", "job.result().get_counts(qc)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the classical bit by the first measurement is random but the conditional operation results in the qubit being deterministically put into $\\left|1\\right\\rangle$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Arbitrary initialization \n", "What if we want to initialize a qubit register to an arbitrary state? An arbitrary state for $n$ qubits may be specified by a vector of $2^n$ amplitudes, where the sum of amplitude-norms-squared equals 1. For example, the following three-qubit state can be prepared:\n", "\n", "$$\\left|\\psi\\right\\rangle = \\frac{i}{4}\\left|000\\right\\rangle + \\frac{1}{\\sqrt{8}}\\left|001\\right\\rangle + \\frac{1+i}{4}\\left|010\\right\\rangle + \\frac{1+2i}{\\sqrt{8}}\\left|101\\right\\rangle + \\frac{1}{4}\\left|110\\right\\rangle$$" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:14:12.127664Z", "start_time": "2021-07-31T05:14:12.118291Z" } }, "outputs": [ { "data": { "text/html": [ "
        ┌───────────────────────────────────────────────────────────────────┐\n",
       "q233_0: ┤0                                                                  ├\n",
       "        │                                                                   │\n",
       "q233_1: ┤1 Initialize(0.25j,0.35355,0.25+0.25j,0,0,0.35355+0.70711j,0.25,0) ├\n",
       "        │                                                                   │\n",
       "q233_2: ┤2                                                                  ├\n",
       "        └───────────────────────────────────────────────────────────────────┘
" ], "text/plain": [ " ┌───────────────────────────────────────────────────────────────────┐\n", "q233_0: ┤0 ├\n", " │ │\n", "q233_1: ┤1 Initialize(0.25j,0.35355,0.25+0.25j,0,0,0.35355+0.70711j,0.25,0) ├\n", " │ │\n", "q233_2: ┤2 ├\n", " └───────────────────────────────────────────────────────────────────┘" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Initializing a three-qubit quantum state\n", "import math\n", "desired_vector = [\n", " 1 / math.sqrt(16) * complex(0, 1),\n", " 1 / math.sqrt(8) * complex(1, 0),\n", " 1 / math.sqrt(16) * complex(1, 1),\n", " 0,\n", " 0,\n", " 1 / math.sqrt(8) * complex(1, 2),\n", " 1 / math.sqrt(16) * complex(1, 0),\n", " 0]\n", "\n", "\n", "q = QuantumRegister(3)\n", "\n", "qc = QuantumCircuit(q)\n", "\n", "qc.initialize(desired_vector, [q[0],q[1],q[2]])\n", "qc.draw()" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:14:16.873547Z", "start_time": "2021-07-31T05:14:16.800233Z" } }, "outputs": [ { "data": { "text/plain": [ "array([1.52655666e-16+2.50000000e-01j, 3.53553391e-01+5.55111512e-17j,\n", " 2.50000000e-01+2.50000000e-01j, 0.00000000e+00+0.00000000e+00j,\n", " 0.00000000e+00+0.00000000e+00j, 3.53553391e-01+7.07106781e-01j,\n", " 2.50000000e-01-9.02056208e-17j, 0.00000000e+00+0.00000000e+00j])" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "backend = BasicAer.get_backend('statevector_simulator')\n", "job = backend.run(transpile(qc, backend))\n", "qc_state = job.result().get_statevector(qc)\n", "qc_state " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[Fidelity](https://en.wikipedia.org/wiki/Fidelity_of_quantum_states) is useful to check whether two states are the same or not.\n", "For quantum (pure) states $\\left|\\psi_1\\right\\rangle$ and $\\left|\\psi_2\\right\\rangle$, the fidelity is\n", "\n", "$$\n", "F\\left(\\left|\\psi_1\\right\\rangle,\\left|\\psi_2\\right\\rangle\\right) = \\left|\\left\\langle\\psi_1\\middle|\\psi_2\\right\\rangle\\right|^2.\n", "$$\n", "\n", "The fidelity is equal to $1$ if and only if two states are equal." ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:14:19.163449Z", "start_time": "2021-07-31T05:14:19.157945Z" } }, "outputs": [ { "data": { "text/plain": [ "1.0000000000000004" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "state_fidelity(desired_vector,qc_state)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Further details:\n", "\n", "How does the desired state get generated behind the scenes? There are multiple methods for doing this. Qiskit uses a [method proposed by Shende et al](https://arxiv.org/abs/quant-ph/0406176). Here, the idea is to assume the quantum register to have started from our desired state, and construct a circuit that takes it to the $\\left|00..0\\right\\rangle$ state. The initialization circuit is then the reverse of such circuit.\n", "\n", "To take an arbitrary quantum state to the zero state in the computational basis, we perform an iterative procedure that disentangles qubits from the register one-by-one. We know that any arbitrary single-qubit state $\\left|\\rho\\right\\rangle$ can be taken to the $\\left|0\\right\\rangle$ state using a $\\phi$-degree rotation about the Z axis followed by a $\\theta$-degree rotation about the Y axis:\n", "\n", "$$R_y(-\\theta)R_z(-\\phi)\\left|\\rho\\right\\rangle = re^{it}\\left|0\\right\\rangle$$\n", "\n", "Since now we are dealing with $n$ qubits instead of just 1, we must factorize the state vector to separate the Least Significant Bit (LSB):\n", "\n", "$$\\begin{align*}\n", " \\left|\\psi\\right\\rangle =& \\alpha_{0_0}\\left|00..00\\right\\rangle + \\alpha_{0_1}\\left|00..01\\right\\rangle + \\alpha_{1_0}\\left|00..10\\right\\rangle + \\alpha_{1_1}\\left|00..11\\right\\rangle + ... \\\\&+ \\alpha_{(2^{n-1}-1)_0}\\left|11..10\\right\\rangle + \\alpha_{(2^{n-1}-1)_1}\\left|11..11\\right\\rangle \\\\\n", "=& \\left|00..0\\right\\rangle (\\alpha_{0_0}\\left|0\\right\\rangle + \\alpha_{0_1}\\left|1\\right\\rangle) + \\left|00..1\\right\\rangle (\\alpha_{1_0}\\left|0\\right\\rangle + \\alpha_{1_1}\\left|1\\right\\rangle) + ... \\\\&+ \\left|11..1\\right\\rangle (\\alpha_{(2^{n-1}-1)_0}(\\left|0\\right\\rangle + \\alpha_{(2^{n-1}-1)_1}\\left|1\\right\\rangle) \\\\\n", "=& \\left|00..0\\right\\rangle\\left|\\rho_0\\right\\rangle + \\left|00..1\\right\\rangle\\left|\\rho_1\\right\\rangle + ... + \\left|11..1\\right\\rangle\\left|\\rho_{2^{n-1}-1}\\right\\rangle\n", "\\end{align*}$$\n", "\n", "Now each of the single-qubit states $\\left|\\rho_0\\right\\rangle, ..., \\left|\\rho_{2^{n-1}-1}\\right\\rangle$ can be taken to $\\left|0\\right\\rangle$ by finding appropriate $\\phi$ and $\\theta$ angles per the equation above. Doing this simultaneously on all states amounts to the following unitary, which disentangles the LSB:\n", "\n", "$$U = \\begin{pmatrix} \n", "R_{y}(-\\theta_0)R_{z}(-\\phi_0) & & & &\\\\ \n", "& R_{y}(-\\theta_1)R_{z}(-\\phi_1) & & &\\\\\n", "& . & & &\\\\\n", "& & . & &\\\\\n", "& & & & R_y(-\\theta_{2^{n-1}-1})R_z(-\\phi_{2^{n-1}-1})\n", "\\end{pmatrix} $$\n", "\n", "Hence,\n", "\n", "$$U\\left|\\psi\\right\\rangle = \\begin{pmatrix} r_0e^{it_0}\\\\ r_1e^{it_1}\\\\ . \\\\ . \\\\ r_{2^{n-1}-1}e^{it_{2^{n-1}-1}} \\end{pmatrix}\\otimes\\left|0\\right\\rangle$$\n", "\n", "\n", "U can be implemented as a \"quantum multiplexor\" gate, since it is a block diagonal matrix. In the quantum multiplexor formalism, a block diagonal matrix of size $2^n \\times 2^n$, and consisting of $2^s$ blocks, is equivalent to a multiplexor with $s$ select qubits and $n-s$ data qubits. Depending on the state of the select qubits, the corresponding blocks are applied to the data qubits. A multiplexor of this kind can be implemented after recursive decomposition to primitive gates of cx, rz and ry." ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:14:22.630626Z", "start_time": "2021-07-31T05:14:21.651868Z" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.20.2
qiskit-aer0.10.4
qiskit-ignis0.7.1
qiskit-ibmq-provider0.19.1
qiskit0.36.2
qiskit-optimization0.3.2
qiskit-machine-learning0.4.0
System information
Python version3.10.4
Python compilerMSC v.1916 64 bit (AMD64)
Python buildmain, Mar 30 2022 08:38:02
OSWindows
CPUs6
Memory (Gb)15.869640350341797
Sat May 28 10:03:32 2022 Eastern Daylight Time
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 } ================================================ FILE: tutorials/circuits_advanced/01_advanced_circuits.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Advanced Circuits" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T04:57:22.790689Z", "start_time": "2021-07-31T04:57:20.366197Z" } }, "outputs": [], "source": [ "import numpy as np\n", "from qiskit import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Opaque gates" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T04:57:22.795419Z", "start_time": "2021-07-31T04:57:22.792399Z" } }, "outputs": [], "source": [ "from qiskit.circuit import Gate\n", "\n", "my_gate = Gate(name='my_gate', num_qubits=2, params=[])" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T04:57:22.809920Z", "start_time": "2021-07-31T04:57:22.798318Z" } }, "outputs": [ { "data": { "text/html": [ "
     ┌──────────┐            \n",
       "q_0: ┤0         ├────────────\n",
       "     │  my_gate │┌──────────┐\n",
       "q_1: ┤1         ├┤0         ├\n",
       "     └──────────┘│  my_gate │\n",
       "q_2: ────────────┤1         ├\n",
       "                 └──────────┘
" ], "text/plain": [ " ┌──────────┐ \n", "q_0: ┤0 ├────────────\n", " │ my_gate │┌──────────┐\n", "q_1: ┤1 ├┤0 ├\n", " └──────────┘│ my_gate │\n", "q_2: ────────────┤1 ├\n", " └──────────┘" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qr = QuantumRegister(3, 'q')\n", "circ = QuantumCircuit(qr)\n", "circ.append(my_gate, [qr[0], qr[1]])\n", "circ.append(my_gate, [qr[1], qr[2]])\n", "\n", "circ.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Composite Gates" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T04:57:35.232865Z", "start_time": "2021-07-31T04:57:35.219747Z" } }, "outputs": [ { "data": { "text/html": [ "
     ┌───┐                       \n",
       "q_0: ┤ H ├──■────────────────────\n",
       "     └───┘┌─┴─┐     ┌───────────┐\n",
       "q_1: ─────┤ X ├──■──┤0          ├\n",
       "          └───┘┌─┴─┐│  sub_circ │\n",
       "q_2: ──────────┤ X ├┤1          ├\n",
       "               └───┘└───────────┘
" ], "text/plain": [ " ┌───┐ \n", "q_0: ┤ H ├──■────────────────────\n", " └───┘┌─┴─┐ ┌───────────┐\n", "q_1: ─────┤ X ├──■──┤0 ├\n", " └───┘┌─┴─┐│ sub_circ │\n", "q_2: ──────────┤ X ├┤1 ├\n", " └───┘└───────────┘" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Build a sub-circuit\n", "sub_q = QuantumRegister(2)\n", "sub_circ = QuantumCircuit(sub_q, name='sub_circ')\n", "sub_circ.h(sub_q[0])\n", "sub_circ.crz(1, sub_q[0], sub_q[1])\n", "sub_circ.barrier()\n", "sub_circ.id(sub_q[1])\n", "sub_circ.u(1, 2, -2, sub_q[0])\n", "\n", "# Convert to a gate and stick it into an arbitrary place in the bigger circuit\n", "sub_inst = sub_circ.to_instruction()\n", "\n", "qr = QuantumRegister(3, 'q')\n", "circ = QuantumCircuit(qr)\n", "circ.h(qr[0])\n", "circ.cx(qr[0], qr[1])\n", "circ.cx(qr[1], qr[2])\n", "circ.append(sub_inst, [qr[1], qr[2]])\n", "\n", "circ.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Circuits are not immediately decomposed upon conversion `to_instruction` to allow circuit design at higher levels of abstraction.\n", "When desired, or before compilation, sub-circuits will be decomposed via the `decompose` method." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T04:57:37.297451Z", "start_time": "2021-07-31T04:57:37.287919Z" } }, "outputs": [ { "data": { "text/html": [ "
     ┌─────────┐                                        \n",
       "q_0: ┤ U2(0,π) ├──■─────────────────────────────────────\n",
       "     └─────────┘┌─┴─┐     ┌───┐          ░ ┌───────────┐\n",
       "q_1: ───────────┤ X ├──■──┤ H ├────■─────░─┤ U(1,2,-2) ├\n",
       "                └───┘┌─┴─┐└───┘┌───┴───┐ ░ └───┬───┬───┘\n",
       "q_2: ────────────────┤ X ├─────┤ Rz(1) ├─░─────┤ I ├────\n",
       "                     └───┘     └───────┘ ░     └───┘
" ], "text/plain": [ " ┌─────────┐ \n", "q_0: ┤ U2(0,π) ├──■─────────────────────────────────────\n", " └─────────┘┌─┴─┐ ┌───┐ ░ ┌───────────┐\n", "q_1: ───────────┤ X ├──■──┤ H ├────■─────░─┤ U(1,2,-2) ├\n", " └───┘┌─┴─┐└───┘┌───┴───┐ ░ └───┬───┬───┘\n", "q_2: ────────────────┤ X ├─────┤ Rz(1) ├─░─────┤ I ├────\n", " └───┘ └───────┘ ░ └───┘ " ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "decomposed_circ = circ.decompose() # Does not modify original circuit\n", "decomposed_circ.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameterized circuits" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T04:57:40.495951Z", "start_time": "2021-07-31T04:57:39.017413Z" }, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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4nS7i6rVkxPUTSEkeajpahdi5r0W82XcIlm2F7/dBsbvsY59usv51OSG5KQxMgKb1g59Rgk8Fc4TacxDmr4IDx73ve/AE/O9aWLkTRvSBZlcFPp9IpBl5w0RG3vAsxcVFfJT9OtPfHUGbxl1oHNvGdDSRiHCuGJZugOVbwduJ1WI3rNsL3+2F6xIgLUkDSuFOUzIi0Hd74f995luxfLH9x+B/PrVOR4mEmoSEBNMRfOJyRZHW60GK3UXs+mm96TgVEip9LXLemXPw1jJrZLk8sxBLgC+2wFvLofBcoNKJHahgjjDb8+GvX1d8XnKxG+atgJ0/+zeXSKAtXLjQdASfnCs6y+Ls2QA0iY03nKZiQqWvRQDcbnjnS9hVifXSd/4M76zQNT/hTFMyIsjpQnh3pec/6NdGWv8+9vcr71NcAn9fCU/dAjHR/s0oEijPPfccL7zwgukYV/TuF1NZkDWTgsITuFzRjB86h1aNkgBY+u1cPl/719J98w/vplPL/jwzwsMfqkF272uRi2Vth5z9nvfx5b1xez6s2A4p7f2XTezD1iPMbrebmTNn0rZtW2JiYkhOTiYrK4t27doxZswY0/FCztLv4ViBf9o6cgr+tdE/bVVGSYk1Hztrm/VC9dMR04nErhYsWGA6gkcjrp/Ah1OOkvH8L/RsP5gNO5eXPpbWczSvpGfySnomE0a+R0yVGowaNNVgWs/s3tdiRmERrP0BMrfCt7uh4KzpRHDsNPxzg/f9fLV4PRz30/us2IutR5hHjx7NokWLmDhxIt26dSM7O5vhw4dz8OBBxo8fbzpeSDlzDr7Z7d82V+6EQUlQ1dBv0b7D8Pdsa271xVo1gJF94aqaZnKJVEat6vUYP3QO977UmuxNH9G3422lj7ndbqbPH8notOnE1W9hLqRIOZSUwLIt1goThUUXtke5ILU9DE4Cp6Hhu5U7oajYf+2dK4ZVO+GmTv5rU+zBtiPM8+fPZ968eXz88cc8+eSTDBw4kAkTJtCnTx+Kioro2rWr6YghZX2utYycP505B5sMXQCYf9S6cPHny1y4uOegdXGiv0bTRYKtdvX63NV/PO988nvc7gvrWv31s8m0jOtEv463mwsnUk6fbIR/rC9bLINVqH6+GTJWG4kF+H8gKVBtinm2LZinTZvGoEGDSElJKbO9TZs2REdHk5Rkze177rnniI+Px+l0kpGRYSJqSNj7S2Da/eFQYNr1ZvF665N8yWXmY5dgnRL7YnOwU4mdZWVlmY5QLnf0/x2Hj+fz2dq/ALBuxxeszfmUB2+ZYTiZd6HW1xI4R09fWLv4SrJ3WoMgwXa8wJpe6G+HTurGJuHIlgVzXl4emzZtYujQXy/an5ubS2JiIlWrVgVg0KBBfPLJJ7qzlBc/Bmhu74+HA9OuJ8dOw5YfL18sX+ybXf491SahbfNm+36CeiU9k5E3PFtmW42Y2ix64TA397iPw8f38/qH4/j9yPlER1UxlNJ3du5rCa5vd3t/rXZgTY0ItkC9Lwa6bTHDlnOY8/LyAIiLiyuzvaCggKysLNLS0kq39e3bt0LHcDgcFQ8Ygv7PH7ZR75p2Zbadv+r3cq702KVXCH+zZgOOmztXLlw5XdO2L8Mmfe11v8IiqBvbiFNH84OQSkx6/PHHve4za9Ysr/vNmjXLX5FKzfztcpJbp1aqjb99PoVTZ47xh/fvK93WtEE7HhvyR4/Py8rKpMfwgZU69qXs3NdiPzeO+RPt+/0XTteVy41idzF/fv8T7upxaxCTQdteQxn8yAdltnl6X/T0+KXvjbfeNoSdq7W8Ynk89ZL1euZwOMp8H0gl3j7NXcSWBXNsbCwAOTk5DB48uHT7jBkzyM/Pp1u3bqaihSx3sZ8nMJ9v1x2Ydj05V+j7ObRzZ08HMIlIcDx65xs8eucbpmOIlNu5wlPgregpKaGoMPiv1YF6X7Ta1l1Mwo2jpDzldZC43W66dOlCfn4+M2fOpHHjxmRkZLBkyRJyc3NZtWoVvXr1KvOc1NRUxo0bx5AhQwyltrc5WbApz/t+vqw1ebHOzeC+/hXPVRFuN7zwkTU37kocDmu1jEduDF4uMWfbtm1e9+nQoQNbt271uE/79v5fQHXNe3DUh7+9QKjbBLrf7d827dzXYj/b82H2Mu/7/Vdf6N4y8Hku9uMR+MMS3/Yt73vjU7fANXUrFCtiPf3y2wC89NSYMt/bhS3nMDudThYsWEBiYiLp6emMGjWK2NhYxo4di8vlKr3gT3zXpH5g2m0aoHY9cTphYAfP+5SUeN9HIsvkyZNNR4gY6ms5r20cxNWx5ilfjsMBdapZgy/BFlcHogJQBUW7oGFt/7crZtmyYAaIj49n+fLlnDp1itzcXKZMmcLGjRtJSEigWrVqpuOFnI6NA9NuYpPAtOvNgHbQr631/cVn+85/+5vO0NFQNrGnYcOGmY4QMdTXcp7TAWNSoX4N6+dLC+caVeG311lrMgebywkdGvm/3Q6NrLYlvITU/9I1a9b8av7yxIkTadKkCStXruShhx6iSZMm7Nq1y1BC+2pSH5rH+rfNNldbn9BNcDhgSA94+HrodFFh3L0VjB8E1yeaySX21aFD6J1ymLvkGca/OYC5S54xHaVcQrGvJXDq14T/ewvc2R0a1buw/Ted4ZlbzU5duDY+NNoU80KmYD558iQ5OTm/umHJlClTyMvLo7CwkEOHDpGXl0fr1q0NpbS3W5L915YD6+5MJjkcEB8H91+0ouDIPtDsKnOZRPxlz/5NnDpznFcf/pLjpw/xw34t1SahKybaOjP4fy9cx8/1idYIs0nxcdD2avu2J/YRMgVzzZo1KS4u5pFHHjEdJWTFx0Hftv5pa0B7aNXQP22JyK9t2vMV3eNvAqBr2xvZuGeF4UQi4cfhgLt7QxU/rBlWNQru7uV9URAJTbZcVk4C545u8MsJyNl/+cd9uQI4oZF1Kk0klKSmppqOUC4nTh9m8cq3WLhiFicLjpKSHDrzgkOtryWyXVUTRvW3VpMqdl9+H2/vjS4njBpgTT+R8BQyI8ziH9EueCAFurWo2PN7tLKmQJi4QEOkMmbPnm06QrnUql6fe29+gVfSMxk16EVqVTewJE0FhVpfi3RoBA8NhJox5X9urRj47UBof43/c4l9qGCOQFWi4J5+1vrJdav79px6NaxCe2QfFcsSmtLT001HKJeOLa9l4+4vAdiwK5NOLYO84HklhFpfi4A1bfHpW6wBJV9mVTiw1o5++lZr+TwJb5qSEcE6N7NWmNj8I3y3F/Ydgl9OXni8QS1rneVuLaxP3059vJIQlpmZaTpCubSM60iUK5onZqeS0LwPLeJCZ+mXUOtrkfNqxlgDSrd2hpU7YdcByDsMhf++KWDVKGvVqTZXQ+/W1mCSRAYVzBHO5YSkptYXQFExnCu2pm5oJFnErNGDp5uOIBKR6tWAwf9eWcpdAmeLrBHl6ChrbWmJPCqYpYwoFcoiIiKlnA5rWTyJbDrJLiIRYevWraYjRAz1tYiEG40wi0hE+OCDD4zcsrmWwfXKTR3bVF+LiASKCmYRiQiTJk0yUsS1uy7ohzTOVF+LiASKpmSIiIiIiHiggllERERExAMVzCISEd58803TESKG+lpEwo0KZhGJCImJoXPjj1CnvhaRcKOCWUQiQkpKiukIEUN9LSLhRgWziIiIiIgHKphFJCL06NHDdISIob4WkXCjgllEIsLq1atNR4gY6msRCTcqmEVEREREPFDBLCIiIiLigQpmEYkIGRkZpiNEDPW1iIQbFcwiIiIiIh6oYBaRiDBkyBDTESKG+lpEwk2U6QAiIuFs+zI4ccDMsWs1hHbXmTm2iEg4UcEsIhJAJw7A0TzTKUREpDI0JUNEIsLYsWNNR4gY6msRCTcqmEUkIowbN850hIihvhaRcKOCWULe6cIL3585Zy6H2NuAAQNMR4gY6mu5HHcJHDl10c9uc1lEyktzmCXklJTAD79A9g7YdQAOX/QC/MwHEFsL4uOgX1toVM9cTrGXgwcPmo4QMdTXcl5hEaz7wfrad7jsoMbTH0Dj+tClOfRoCdWqmEop4p0KZgkpPx+D91bBnl8u/3gJcPCE9fX1DkhsDEN7Qt3qQY0pUi5PzE5l696VuFzROJ0u4uq1ZMT1E0hJHmo6mkiFlJTAN7vgo3VQcIUzf2eLYc9B62vxekhLgpR24NS5b7EhFcwSMlbthIzVUFSO03ibf4Tdi+GefpDQOHDZxP4SEhJMR/Bo5A0TGXnDsxQXF/FR9utMf3cEbRp3oXFsG9PRys3ufS2BVXgO/vK19frrq7NFVnG9cR+MToEaVQOXT6Qi9DlOQsLXOfDeN+Urls8rOAdzsmCTlvaKaAsXLjQdwScuVxRpvR6k2F3Erp/Wm45TIaHS1+J/Z4vgj8vLVyxfbPdBeP1zOFXofV+RYFLBLLb3wy/WyLInr420vq7EXQJ//RoOnfRvNgkdzz33nOkIPjlXdJbF2bMBaBIbbzhNxYRKX4v//e9aq+j1xNvrdf5Ra+pdSYlfo4lUiq0LZrfbzcyZM2nbti0xMTEkJyeTlZVFu3btGDNmjOl4EgRFxfDuSmtucmUVFtnvRdhOWcLdggULTEfw6N0vpnL7xLrc+vtq/OlfzzJ+6BxaNUoCYOm3c3lidmrp14ipzZj+roeKwzC793W4KCmx12vI9nxYudM/bW3Mg+/2+qctEX+w9Rzm0aNHs2jRIiZOnEi3bt3Izs5m+PDhHDx4kPHjx5uOJ0Gwbi8cOO6/9nb8bI1+tG7ovzbL6+djkLXdumr8zDmoUw16t4H+8VAzxlwuMWvE9RMYecOznDh9hFcWjGbDzuWk9RwNQFrP0aXfHz6+nyf/OJBRg6aajCsGbfkRvtxuvZ6VlEDjenBtPHRvCS6Dw2D/2ujf9j7ZaK2g4XD4t12RirBtwTx//nzmzZtHZmYmKSkpAAwcOJB169axaNEiunbtajihBMPXOYFp01TBvPUnmJsFxe4Lo+bHCqw3mlU74ZEbrWXxJHLVql6P8UPncO9Lrcne9BF9O95W+pjb7Wb6/JGMTptOXP0W5kKKMf/4Dr7YYhWR50eX847A/FXw/T64f4CZojn/qPepGOV14Lj1oSA+zr/tilSEbadkTJs2jUGDBpUWy+e1adOG6OhokpKSOHLkCLfeeivx8fEkJydz0003sXOnn84HiXGnC2HvIf+3uy3fzGnMk2fgnS/LFssXO34G5n5pr1Os4SQrK8t0BJ/Vrl6fu/qP551Pfo/7ors7/PWzybSM60S/jrebC+eDUOrrULI+1yqWoezrxPnvN//o/1FeX239KTDtbgtQuyLlZcuCOS8vj02bNjF06K/XIM3NzSUxMZGqVavicDh47LHHyMnJYcOGDdx6662MGjXKQGIJhLwjgWn39NmyNzsJllW74Fzxledjl5QEZpRGLJs3bzYdoVzu6P87Dh/P57O1fwFg3Y4vWJvzKQ/eMsNwMu9Cra9DRdZW8DY74asc63Um2PYdDq12RcrLllMy8vKs9b/i4sqehykoKCArK4u0tDQA6tatyw033FD6eN++fZkxw7c3E4cmRdlewoBR3DjmnTLbPF1Z7enxx/5e9ufOPQeStzWz4uEq4K4Jy2ncbgAOD6vyl5S4+T+PvET2BxOCmCz0Pf744173mTVrltf9Zs2a5a9IpWb+djnJrVM97vNKeuavttWIqc2iF6xq4fDx/bz+4TimjV5KdJTvt0PLysqkx/CB5YnrlZ37OpxFV63Bw3O9L/Nz+iw079CP/B3ZQUh1wbBJ2VzTtk+ZbRV5vb70tXr197tw3Bh6a5FL+T310h8Bqz67+PtAKinHKV1bFsyxsbEA5OTkMHjw4NLtM2bMID8/n27dul32ea+99hq33357MCJKEDicrpBs+0pcUVU9FssAlJTgdOn+sFLW3z6fwqkzx/jD+/eVbmvaoB2PDfmjuVASVE5XtM/7usrxocpfAvWa6jTwWi1yOY6S8pTXQeJ2u+nSpQv5+fnMnDmTxo0bk5GRwZIlS8jNzWXVqlX06tWrzHMmT57M0qVLWbZsGdWr6z7I4WBDLvxphW/7nh+puHR04kqeSIOm9SuWq6LeW2XdKtbbH9zw3tCrdVAihY1t27Z53adDhw5s3brV4z7t27f3V6RSa96Do4ZumlO3CXS/279t2rmvw5m7BCYtghNnPO/ncMDzt0OdIL8NvrXMuj7EF+V5vW5SD54c7H0/CX1Pv/w2AC89NabM93ZhyznMTqeTBQsWkJiYSHp6OqNGjSI2NpaxY8ficrlISkoqs/+LL77I4sWL+eSTT1Qsh5HG9QLTrssJ19QJTNue9GvrvViuGmUtoyT+N3nyZNMRIob62v+cDujn5T42DqBTk+AXywBNAjQAEah2RcrLllMyAOLj41m+fHmZbffccw8JCQlUq1atdNvkyZNZsmQJn332GXXr1g1ySgmkq2pC7Rhr9Qh/alofogyc5Wt6lbXW8orLLJXnwCqmh/aEKrb9qwxtw4YNMx0hYqivAyO1vXXmbf/RX3/4djigWjT8pouJZNCyQWDabRGgdkXKy5YjzFeyZs2aMvOXN2/ezPPPP8+hQ4dITU2lc+fOdO7c2VxA8SuHw7qhh78Fok1f3dEdbu0M1S+ZYnhVTWv91O4tjcSKCB06dDAdIWKorwMjJhoeuQG6trBGnC/WpiE8djM0MLSOe/trrJsw+VPVKOjSzL9tilRUyIxlnTx5kpycHB5++OHSbYmJieW6wlFCT9+2sGyrdYtsf6gVA10NTnlwOuCGRGuk6Mn3rG2P3miNzmjhFrnU3CXPsPmHr0ls0Y/Rg6ebjiM2UL0q3NMPbu8KExdZ2yb8BhrUNpvL5YT+7WDxev+12acNVPX9WkeRgAqZEeaaNWtSXFzMI488YjqKBFHd6nBrsv/as8uUh4unhLRqqGJZfm3P/k2cOnOcVx/+kuOnD/HDfq1tLBfUumg013SxfF5qe2jkp2tP6teAtCTv+4kEiw1KBxHPBrSD7fs930nKl6ut+7aFpKb+yyWhJTU11XSEctm05yu6x98EQNe2N7JxzwpaxCUaTuWbUOtr8Y8oF9zTF/7nUzhz7sr7eXu9jnLBf/XV6LLYS8iMMEvkcjphVH9rjlxF9WwFQ7r7L5OEntmzZ5uOUC4nTh/mz59O4onZqbz7xVROnA6dW56FWl+L/1xTF357nXUBYkVEu2D0AOvMm4idqGCWkFAlCh5MhVuSrblyvoqJhrt7WWsbe7tniIS39PR00xHKpVb1+tx78wu8kp7JqEEvUqt66KyvFWp9Lf7VItZaOzk+zvu+F2t2lbVGfodGgcklUhmakiEhw+WEGztCcjNYsR2+3Q2FRZfft2ZVazWMa+OtedAimZmZpiOUS8eW1/Lp6nn0TfwPNuzK5OYeo0xH8lmo9bX431U1If06+H4ffJUDO36+8r4tYq116ru2KN+AiEgwqWCWkNOwNtzVw1pv9KejsO8QnCy01jKuU91a6P6aOmbWWhbxl5ZxHYlyRfPE7FQSmvcJmfnLIuc5HNYAR3IzOFZgvVbvPwZni6zX57g61rr49WqYTirinQpmCVlVoqyRiRaxppOIBIaWkpNwUaca1GkCHZuYTiJSMTr5ISIRYevWraYjRAz1tYiEGxXMIhIRPvjgA9MRIob6WkTCjaZkiEhEmDRpEsOGDQv6cWsZXB7L1LFN9bWISKCoYBYRCaB215lOICIilaUpGSIiIiIiHqhgFpGI8Oabb5qOEDHU1yISblQwi0hESEzUOsbBor4WkXCjgllEIkJKSorpCBFDfS0i4UYFs4iIiIiIByqYRUREREQ8UMEsIhGhR48epiNEDPW1iIQbFcwiEhFWr15tOkLEUF+LSLhRwSwiIiIi4oEKZhERERERD1Qwi0hEyMjIMB0hYqivRSTcqGAWEREREfFABbOIRIQhQ4aYjhAx1NciEm6iTAcQEQln25fBiQNmjl2rIbS7zsyxRUTCiQpmEZEAOnEAjuaZTiEiIpWhKRkiEhHGjh1rOkLEUF+LSLhRwSwiEWHcuHGmI0QM9bWIhBsVzCJBdOYcrM+Ff3x3Ydu8FfDpRtiWD8Vuc9nC3YABA0xHiBjq68A5dBJW7YQPvr2w7d2V8OV2+PGIuVwi4U5zmEWC4Ohp+HQTrNkDZ4vKPrY+1/oCqFMN+raFgR2giv46/ergwYOmI1zRE7NT2bp3JS5XNE6ni7h6LRlx/QRSkoeajlYhdu7rULX7AHy2Gbb9BCWXPPbtbusLoNlVcF0HSG4GDkfQY4qELb0liwTYt7th0RprdNmbYwWw9HursB7RB1o2CHw+sYeRN0xk5A3PUlxcxEfZrzP93RG0adyFxrFtTEcTg84WwT/Ww4rtvu2fewjmfQUdm8CwnlC7WkDjiUQMTckQCaAlG6zTpb4Uyxc7eAJe/xw27gtMrkiUkJBgOoJPXK4o0no9SLG7iF0/rTcdp0JCpa/trvAcvLXM92L5Ypvy4H8+taZwiEjlqWAWCZAvt1vTMCqq2G2NFO02tIZvuFm4cKHpCD45V3SWxdmzAWgSG284TcWESl/bmbsE/rQCdldidsuhk1bBXd4P7CLyayqYRQLg52Pw8TrP+7w20vrypNgN76769bxnKb/nnnvOdASP3v1iKrdPrMutv6/Gn/71LOOHzqFVoyQAln47lydmp5Z+jZjajOnvevnlMcjufR0KsndYFwJ74stryMET8JGX1yIR8c7WBbPb7WbmzJm0bduWmJgYkpOTycrKol27dowZM8Z0PJErWrQWivy04sUvJ2DZVv+0VRnniq251f/4zppqsvsAlFx69ZGNLViwwHQEj0ZcP4EPpxwl4/lf6Nl+MBt2Li99LK3naF5Jz+SV9EwmjHyPmCo1GDVoqsG0ntm9ry92qtCa8vDxOmu1mp+PmU4EpwvLrqRTWSt3WnObRaTibH3R3+jRo1m0aBETJ06kW7duZGdnM3z4cA4ePMj48eNNxxO5rJ+Pw3YvI0Pllb0DbkwEl6GPuOv3wvvfQMFFp3Y/3QSN68Go/hBby0yucFSrej3GD53DvS+1JnvTR/TteFvpY263m+nzRzI6bTpx9VuYCxkGSkqs3+FPN5VdznHJ95DYGO7pBzHRZrJ9uwcK/XxW6asc60JiEakY244wz58/n3nz5vHxxx/z5JNPMnDgQCZMmECfPn0oKiqia9eupiOKXNbaPf5v83gB5Oz3f7u+2JxnzaUuuMw8yJ+Owv/7DE6cCXqssFa7en3u6j+edz75PW73hWrur59NpmVcJ/p1vN1cuDDx2WZrRZrLrX2++Ud4e7m5ddHX7PZ/m+v2QlGx/9sViRS2LZinTZvGoEGDSElJKbO9TZs2REdHk5Rkze27/fbbSUpKokuXLvTs2ZPPP//cRFyRUnsDdOozUO16UlICH30HV1rOtaTEWgrvq5ygxqqQrKws0xHK5Y7+v+Pw8Xw+W/sXANbt+IK1OZ/y4C0zDCfzzu59fboQ/rXR8z67D8KWH4OT52Jni6wPov5WVAz5AWhXJFLYckpGXl4emzZt4vHHH//VY7m5uSQmJlK1alUA5s2bR926dQH47rvvSE1N5fDhw7hcrmBGFikVqDelfAN38dp7CA4c975f9g5ISwp8nsrYvHkzDRs2NB3jsl5Jz/zVthoxtVn0wmEADh/fz+sfjmPa6KVER1UJcrrys3NfgzXa6m302AF8sws6NQ1KpFI/H7dWyAiEn45C06sC07ZIuLNtwQwQFxdXZntBQQFZWVmkpaWVbjtfLAMcO3YMh8NBiQ9XIjl0CyQJkN/+f8eoWq126c/ermK/0uOP/b3szx/98xPuT0m7/M4B0qbHXdzyuwyv+504Aw6n09hVgJf7cH2pWbNmed1v1qxZ/opUauZvl5PcOrVSbfzt8ymcOnOMP7x/X+m2pg3a8diQP3p8XlZWJj2GD6zUsS9l5772Vd9hU+n+m6dxOK58krUEWL5yAw8O7By0XACN2vVn6MQvy2zz12vIQ+mPsOGz1yuRTiRwnnrJej1zOBxlvg8kX+rF82xZMMfGxgKQk5PD4MGDS7fPmDGD/Px8unXrVmb/sWPHsnTpUo4dO8bChQuJirLlf5ZECHfR2ZBq15OzBb4tGXCu8FRoLZkRYh698w0evfMN0zHCxtmC4x6LZQC3u5jCU0eDE+ji4wbw77y4qDBgbYuEO0dJecrrIHG73XTp0oX8/HxmzpxJ48aNycjIYMmSJeTm5rJq1Sp69er1q+dlZWXx+OOP8+WXX1KzZk0DyUXgtX/BD7/4sN+/R4UuHQW6koEd4LYgX+taVAyT/tdaeutKHECv1nB376DF+pVt27Z53adDhw5s3ep5fb727dv7K1KpNe/B0Ty/N+uTuk2g+93+bdPOfe2rgydg6sfe9xvSA64N8r1jThXCBO8ndYDyv4aMvQHaXl2xXCKB9vTLbwPw0lNjynxvF7a86M/pdLJgwQISExNJT09n1KhRxMbGMnbsWFwuV+kFf5dKSUnB6XTy9ddfBzmxyAVN64dWu55EuaxC/UocgNMJKeZqH59NnjzZdISIYfe+blALOje78uMOB9SKge4tg5fpvBpV4aoAjfc0qReYdkUigW3nLsTHx7N8+fIy2+655x4SEhKoVq0aACdPnuTQoUM0b94csC7627VrFx06eHiHFwmwpGawws+rRkS7oH0j/7bpq+sS4OhpayUMB9bczvNcTmsd5mvqmslWHsOGDTMdIWKEQl8P722N5u742SqQLz7XWrMqPHy9uXWYk5rCcj/frKhdHFSz//WiIrZl24L5ctasWUPv3hfO+546dYr//M//5OTJk0RFRRETE8Pf/vY3mjXzMHQgEmBtGsLVta2r3f2lWwuobujNzumwTk33bGUVzd/+e43YwUnQuw3UrmYmV3n5Mk3AbuYueYbNP3xNYot+jB483XQcn4VCX1eNhvTrYdtPsGoXfL/P2j60hzWyXNVQsQzQry1kbi374bTSbQZ5aolIuLHllIzLOXnyJDk5OWVuWHL11VezatUqNm3axPr161m1ahW33HKLwZQi1miVP+caV42Cmzv5r72KanZV2TuF3dQpdIrlULRn/yZOnTnOqw9/yfHTh/hh/2bTkcKO0wEJjeH+ARe29Ys3WyyDdefMvm39116rBtCxif/aE4lEITPCXLNmTYqLdZsiCQ0Jja0R2W/9cMeu27tBvRqVb0dCy6Y9X9E9/iYAura9kY17VtAiLtFwKgmW/+gC2/Lh0MnKtRPtguF9rA8HIlJxIVMwi4SaoT2tub9XuqW1L1e2X5cAvVv7N1ekSk1NNR2hXE6cPszilW+xcMUsThYcJSXZ/vOCzwu1vrajqtEwZiC87uHW895eQ6KcMDrFushRRConZKZkiISaaBc8mGqNNJeXy2lN6/hNZ2uKh1Te7NmzTUcol1rV63PvzS/wSnomowa9SK3qBpZJqaBQ62u7uro2PHpTxVa3qFsd0q+D9tf4P5dIJFLBLBJA0S5r3u+DqdCwttfdAWud1CfTrOXcVCz7T3p6uukI5dKx5bVs3G3d8W3Drkw6texvOJHvQq2v7axBLXh8EAxO9m2ViyinddHgU7dAa625LOI3mpIhEgSJjSGhEez8GTbkwr7DcOCEdWOQqlHQqJ61znKPVhBXx3Ta8JSZmWk6Qrm0jOtIlCuaJ2anktC8T0jNXw61vrY7lxNu6gip7WF9LuTkQ+5hOHbaWg6vZgw0qQ+tGkKPltZaziLiXyqYRYLE4YC2cdaXiC9CaSk5CbwqUdYUr4pM8xKRytGUDBERERERD1Qwi0hEsPuNNMKJ+lpEwo2mZIhIRPjggw+M3LK5VsOgH9L4sU31tYhIoKhgFpGIMGnSJCNFXLvrgn5I40z1tYhIoGhKhoiIiIiIByqYRUREREQ8UMEsIhHhzTffNB0hYqivRSTcqGAWkYiQmBg6N/4IdeprEQk3KphFJCKkpKSYjhAx1NciEm5UMIuIiIiIeKCCWUQiQo8ePUxHiBjqaxEJNyqYRSQirF692nSEiKG+FpFwo4JZRERERMQDFcwiIiIiIh6oYBaRiJCRkWE6QsRQX4tIuFHBLCIiIiLigQpmEYkIQ4YMMR0hYqivRSTcRJkOICISzrYvgxMHzBy7VkNod52ZY4uIhBMVzCIiAXTiABzNM51CREQqQ1MyRCQijB071nSEiKG+FpFwo4JZRCLCuHHjTEeIGOprEQk3KphFxCfFbvjpyIWfD52EkhJzecprwIABpiNEjFDq67NFkHvows8nz5jLIiL2pTnMInJF54rhu72waqdVVBS5Lzw25SOoURXaxcG18dCyATgc5rJ6c/DgQdMRruiJ2als3bsSlysap9NFXL2WjLh+AinJQ01HqxA79zXAqUL4djes3g35x8p+8Ht2IdStDklNoV9buLqOuZwiYh8qmEXksrb8CO9/A8cKrrzPqUJYt9f6io+Du3tB/ZrByxhORt4wkZE3PEtxcREfZb/O9HdH0KZxFxrHtjEdLWy4S+DrHPjHemtk+UqOnoYvt1tfvVvDbV2hWpWgxRQRG9KUDBEpw10Ci9bA25mei+VL5eyHl/8Jm226IkRCQoLpCD5xuaJI6/Ugxe4idv203nScCrFjXxeeg7eXw8I1novlS63aBTP+CflHAxZNREKACmYRKVVSAhnfWiNrFVFYBHO/hM0/+jeXPyxcuNB0BJ+cKzrL4uzZADSJjTecpmLs1tdni+CPy2FbfsWef+Q0vP457D/m31wiEjpUMItIqdV7IHun531eG2l9XYm7BP76tXVa206ee+450xE8eveLqdw+sS63/r4af/rXs4wfOodWjZIAWPrtXJ6YnVr6NWJqM6a/6+F/gmF26+vF62G3l2nV3n6vTxXCn1dAUbFfo4lIiLB1wex2u5k5cyZt27YlJiaG5ORksrKyaNeuHWPGjDEdTySsHC+A/13jn7bOnIMPvvFPW/6yYMEC0xE8GnH9BD6ccpSM53+hZ/vBbNi5vPSxtJ6jeSU9k1fSM5kw8j1iqtRg1KCpBtN6Zqe+3nMQVlTwjMml8o/BZ5v905aIhBZbF8yjR49mypQpPPTQQyxdupRhw4YxfPhwdu/eTbdu3UzHEwkrX++AgnP+a2/LT/DjEe/7SVm1qtdj/NA5fLPtn2Rv+qjMY263m+nzRzI6bTpx9VuYCRhiPt8M/lz9MGubNfVIRCKLbQvm+fPnM2/ePD7++GOefPJJBg4cyIQJE+jTpw9FRUV07drVdESRsFHshpU7/N/u1wFoMxLUrl6fu/qP551Pfo/bfWEtv79+NpmWcZ3o1/F2c+FCyOGT1mov/nTmHKz7wb9tioj92bZgnjZtGoMGDSIlJaXM9jZt2hAdHU1SUlKZ7W+//TYOh4OMjIxgxhQJCz8fg+MBuGHDjv3+b7OisrKyTEcolzv6/47Dx/P5bO1fAFi34wvW5nzKg7fMMJzMO7v09Y6f/Tu6fF6OjX6vRSQ4bLkOc15eHps2beLxxx//1WO5ubkkJiZStWrV0m07duzgT3/6E7179w5mTJGwse9wYNo9eAIKztpjDdvNmzfTsGFD0zEu65X0zF9tqxFTm0UvWP9jDh/fz+sfjmPa6KVER9mgM72wS1/nBej3et8h7/uISHixbcEMEBcXV2Z7QUEBWVlZpKWllW4rKiri/vvvZ/bs2Tz22GM+H8Nh51uSiQRZz9ufpc+QKWW2eVoxwNPjj/297M+NW3bgyE/bKpHOu8t9uL7UrFmzvO43a9Ysf0UqNfO3y0lunVqpNv72+RROnTnGH96/r3Rb0wbteGzIHz0+Lysrkx7DB1bq2Jeyc19f6pbHFtGm+x1ltvnj93r/4QIcjuqVTCciF3vqJev1zOFwlPk+kEpKfD8HZcuCOTY2FoCcnBwGDx5cun3GjBnk5+eXueBvypQppKWl0blz52DHFAkjgXtRcgSw7Ujx6J1v8Oidb5iOEXIC97un32mRSGPLgrlVq1YkJSUxbdo06tevT+PGjcnIyGDJkiUApQXzN998w7Jly8jMzCz3McrzqUIk3H2dAwtWl9126UjxeedH4K70+KX27tpCzZiKZ/PFtm3eR7BnzZrldTnKV1991V+RSq15D44auvthSkoqJbP9+1pn576+1PvfwMpL1hX3x+91bN0YvYeI+NnTL78NWPXZxd/bhS0v+nM6nSxYsIDExETS09MZNWoUsbGxjB07FpfLVXrB3/Lly9m1axetW7emRYsWrFq1iocffphXXnnF8H+BSGhpUj8w7datTsCLZV9NnjzZdISIYZe+blIvQO0G6O9FROzLliPMAPHx8SxfvrzMtnvuuYeEhASqVasGwNNPP83TTz9d+nhqairjxo1jyJAhQc0qEuoa1YOYaGvJLH9qbf66r1LDhg0zHSFi2KWvW18doHZt9HstIsFhyxHmK1mzZo1uWCISANEu6NHK/+32aeP/NiuqQ4cOpiNEDLv0dVwdaNnAv21GOaFHS/+2KSL2FzIF88mTJ8nJyfF4w5LMzEyNLotU0IB4cPnxFaFpfY3EVdbcJc8w/s0BzF3yjOkoIWugn2v3nq3sM81IRIInZArmmjVrUlxczCOPPGI6ikhYalAbBnXyT1suJwzvDVq9seL27N/EqTPHefXhLzl++hA/7N9sOlJISmoKyc3801adanBrF/+0JSKhxbZzmEUk+K5LgF0HYFv+lffxZRWBO7pZ86LtJDU11XSEctm05yu6x98EQNe2N7JxzwpaxCUaTuUbu/X10B7w0xHrRjpX4u33OsoJ9/SD6va/b4yIBEDIjDCLSOC5nHD/AEhoVLHnO7CK5Wvj/RrLL2bPnm06QrmcOH2YP386iSdmp/LuF1M5cTpAt60LALv1dc0YGHsDXF27Ys+vEgUPpEKbAF1EKCL2p4JZRMqoEgUPpMDtXSHK5fvzYmvBIzdCSvvAZauM9PR00xHKpVb1+tx78wu8kp7JqEEvUqt66KxlZse+rlsdxqdB/3J+mGvdEP57MLS/JjC5RCQ0aEqGiPyK0wmpHay5n9k7YOUuOHnm8vs2qQ/XtoWuLaxi264qcoMjkzq2vJZPV8+jb+J/sGFXJjf3GGU6ks/s2tdVo+CuHtC7DXyVA2t/gLNFv97PAbS7Bvq1hcQm4NRcfJGIZ+O3NxExrV4NuKUzpCXDoROQdwROF1oX89WrYa2EoRUDAqNlXEeiXNE8MTuVhOZ9Qmb+cihoXA/+sxcM6QH7j1nzmwuLrClJDWtbj8dEm04pInaigllEvHI6rFU0GlRwDqhUzOjB001HCGsup1UcN7bZBaoiYj+awywiEWHr1q2mI0QM9bWIhBsVzCISET744APTESKG+lpEwo2mZIhIRJg0aRLDhg0L+nFrGbzboaljm+prEZFAUcEsIhJA7a4znUBERCpLUzJERERERDxQwSwiEeHNN980HSFiqK9FJNyoYBaRiJCYqHWMg0V9LSLhRgWziESElJQU0xEihvpaRMKNCmYREREREQ9UMIuIiIiIeKBl5UQk5LVv397rPpMmTfJpP/FMfS0ikUgjzCISEZ5//nnTESKG+lpEwo0KZhERERERD1Qwi4iIiIh4oIJZRERERMQDFcwiIiIiIh6oYBYRERER8UAFs4iIiIiIByqYRURERCSkZWZmkpiYSJs2bXjggQcoLi72a/sqmEVEREQkZLndbh544AEWLFjAzp07OX78OH/729/8egwVzCIiIiISslavXk2jRo1ISEgAYPTo0SxcuNCvx1DBLCIiIiIhKy8vj6ZNm5b+3KxZM/bt2+fXY0T5tTURERERES9KSkr48NOvyP3pQJnt//OnhZf9vntSO/p163jFtgJNI8wiIiIiElQOh4Nre3Til8NHyT9wqHT7pd/nHzjEuXNF9OjU7optNW3atMyIcm5uLk2aNPFrXhXMIiIiIhJ0DerX5Zbr+njcx+FwMOyWVKpUib7iPt27dycvL48tW7YAMHfuXO68806/ZlXBLCIiIiJG9OrcgfiWTa/4+MA+XWjW+GqPbbhcLubMmcOQIUNo3bo1NWvW5J577vFrTkdJMCZ+iIiIiIhcxvETp3jtnQxOnykss71xXCwP/9ftuFzmx3fNJxARERGRiFW7Vg1uv7l/mW1RUS7+85aBtiiWIQwK5o0bN3LXXXcRGxtLTEwMbdu2ZcKECaZjiYiIiIiPktq3oktim9Kf01J60TC2nsFEZYX0snJr165lwIABNG3alD/84Q80b96cPXv2kJ2dbTqaiIiIiJTDf9zQj925+TSoX5c+3RJNxykjpOcwp6amsmXLFnbs2EGdOnXK9dynX347QKlERERExO5eemqMz/uG7JSM06dPs2LFCoYPH17uYllERERExFchOyXjyJEjuN3uCi9MXZ5PFSIiIiISuUK2YK5Xrx5Op5Mff/yxQs/XlAwRERGRyBURUzKqV6/OgAEDmD9/PsePHzcdR0RERETCVEhf9Hd+lYzmzZvz3//93zRv3pzc3FxWrFjBnDlzTMcTERERkTAQslMyALp168bKlSuZOHEijz/+OGfOnKFp06bcfffdpqOJiIiISJgI6RFmEREREZFAC9k5zCIiIiIiwaCCWURERETEAxXMIiIiIiIeqGAWEREREfFABbOIiIiIiAcqmEVEREREPFDBLCIiIiLigQpmEREREREPVDCLiIiIiHiggllERERExAMVzCIiIiIiHqhgFhERERHxQAWziIiIiIgHKphFRERERDxQwSwiIiIi4oEKZhERERERD1Qwi4iIiIh4oIJZRERERMQDFcwiIiIiIh6oYBYRERER8UAFs4iIiIiIByqYRUREREQ8UMEsIiIiIuKBCmYREREREQ9UMIuIiIiIeKCCWURERETEAxXMIiIiIiIeqGAWEREREfFABbOIiIiIiAf/P3hSAyCII6yJAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.circuit import Parameter\n", "\n", "theta = Parameter('θ')\n", "\n", "n = 5\n", "\n", "qc = QuantumCircuit(5, 1)\n", "\n", "qc.h(0)\n", "for i in range(n-1):\n", " qc.cx(i, i+1)\n", "\n", "qc.barrier()\n", "qc.rz(theta, range(5))\n", "qc.barrier()\n", "\n", "for i in reversed(range(n-1)):\n", " qc.cx(i, i+1)\n", "qc.h(0)\n", "qc.measure(0, 0)\n", "\n", "qc.draw('mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can inspect the circuit's parameters" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T04:57:44.155858Z", "start_time": "2021-07-31T04:57:44.152156Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ParameterView([Parameter(θ)])\n" ] } ], "source": [ "print(qc.parameters)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Binding parameters to values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All circuit parameters must be bound before sending the circuit to a backend. This can be done as follows:\n", "- The `bind_parameters` method accepts a dictionary mapping `Parameter`s to values, and returns a new circuit with each parameter replaced by its corresponding value. Partial binding is supported, in which case the returned circuit will be parameterized by any `Parameter`s that were not mapped to a value." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T04:57:45.686901Z", "start_time": "2021-07-31T04:57:45.566396Z" } }, "outputs": [ { "data": { "text/html": [ "
     ┌───┐                     ░ ┌────────┐ ░                     ┌───┐┌─┐\n",
       "q_0: ┤ H ├──■──────────────────░─┤ Rz(2π) ├─░──────────────────■──┤ H ├┤M├\n",
       "     └───┘┌─┴─┐                ░ ├────────┤ ░                ┌─┴─┐└───┘└╥┘\n",
       "q_1: ─────┤ X ├──■─────────────░─┤ Rz(2π) ├─░─────────────■──┤ X ├──────╫─\n",
       "          └───┘┌─┴─┐           ░ ├────────┤ ░           ┌─┴─┐└───┘      ║ \n",
       "q_2: ──────────┤ X ├──■────────░─┤ Rz(2π) ├─░────────■──┤ X ├───────────╫─\n",
       "               └───┘┌─┴─┐      ░ ├────────┤ ░      ┌─┴─┐└───┘           ║ \n",
       "q_3: ───────────────┤ X ├──■───░─┤ Rz(2π) ├─░───■──┤ X ├────────────────╫─\n",
       "                    └───┘┌─┴─┐ ░ ├────────┤ ░ ┌─┴─┐└───┘                ║ \n",
       "q_4: ────────────────────┤ X ├─░─┤ Rz(2π) ├─░─┤ X ├─────────────────────╫─\n",
       "                         └───┘ ░ └────────┘ ░ └───┘                     ║ \n",
       "c: 1/═══════════════════════════════════════════════════════════════════╩═\n",
       "                                                                        0
" ], "text/plain": [ " ┌───┐ ░ ┌────────┐ ░ ┌───┐┌─┐\n", "q_0: ┤ H ├──■──────────────────░─┤ Rz(2π) ├─░──────────────────■──┤ H ├┤M├\n", " └───┘┌─┴─┐ ░ ├────────┤ ░ ┌─┴─┐└───┘└╥┘\n", "q_1: ─────┤ X ├──■─────────────░─┤ Rz(2π) ├─░─────────────■──┤ X ├──────╫─\n", " └───┘┌─┴─┐ ░ ├────────┤ ░ ┌─┴─┐└───┘ ║ \n", "q_2: ──────────┤ X ├──■────────░─┤ Rz(2π) ├─░────────■──┤ X ├───────────╫─\n", " └───┘┌─┴─┐ ░ ├────────┤ ░ ┌─┴─┐└───┘ ║ \n", "q_3: ───────────────┤ X ├──■───░─┤ Rz(2π) ├─░───■──┤ X ├────────────────╫─\n", " └───┘┌─┴─┐ ░ ├────────┤ ░ ┌─┴─┐└───┘ ║ \n", "q_4: ────────────────────┤ X ├─░─┤ Rz(2π) ├─░─┤ X ├─────────────────────╫─\n", " └───┘ ░ └────────┘ ░ └───┘ ║ \n", "c: 1/═══════════════════════════════════════════════════════════════════╩═\n", " 0 " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "theta_range = np.linspace(0, 2 * np.pi, 128)\n", "\n", "circuits = [qc.bind_parameters({theta: theta_val})\n", " for theta_val in theta_range]\n", "\n", "circuits[-1].draw()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:01:45.524926Z", "start_time": "2021-07-31T05:01:44.775721Z" } }, "outputs": [], "source": [ "backend = BasicAer.get_backend('qasm_simulator')\n", "job = backend.run(transpile(circuits, backend))\n", "counts = job.result().get_counts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the example circuit, we apply a global $R_z(\\theta)$ rotation on a five-qubit entangled state, and so expect to see oscillation in qubit-0 at $5\\theta$." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:01:48.240446Z", "start_time": "2021-07-31T05:01:47.870931Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "fig = plt.figure(figsize=(8,6))\n", "ax = fig.add_subplot(111)\n", "\n", "ax.plot(theta_range, list(map(lambda c: c.get('0', 0), counts)), '.-', label='0')\n", "ax.plot(theta_range, list(map(lambda c: c.get('1', 0), counts)), '.-', label='1') \n", "\n", "ax.set_xticks([i * np.pi / 2 for i in range(5)])\n", "ax.set_xticklabels(['0', r'$\\frac{\\pi}{2}$', r'$\\pi$', r'$\\frac{3\\pi}{2}$', r'$2\\pi$'], fontsize=14)\n", "ax.set_xlabel('θ', fontsize=14)\n", "ax.set_ylabel('Counts', fontsize=14)\n", "ax.legend(fontsize=14)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reducing compilation cost" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compiling over a parameterized circuit prior to binding can, in some cases, significantly reduce compilation time as compared to compiling over a set of bound circuits." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:01:54.386016Z", "start_time": "2021-07-31T05:01:51.644668Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time compiling over set of bound circuits: 2.4267938137054443\n" ] } ], "source": [ "import time\n", "from itertools import combinations\n", "from qiskit.compiler import assemble\n", "from qiskit.providers.fake_provider import FakeVigo\n", "\n", "start = time.time()\n", "qcs = []\n", "\n", "theta_range = np.linspace(0, 2*np.pi, 32)\n", "\n", "for n in theta_range:\n", " qc = QuantumCircuit(5)\n", "\n", " for k in range(8):\n", " for i,j in combinations(range(5), 2):\n", " qc.cx(i,j)\n", " qc.rz(n, range(5))\n", " for i,j in combinations(range(5), 2):\n", " qc.cx(i,j)\n", "\n", " qcs.append(qc)\n", " \n", "compiled_circuits = transpile(qcs, backend=FakeVigo())\n", "qobj = assemble(compiled_circuits, backend=FakeVigo())\n", "\n", "end = time.time()\n", "print('Time compiling over set of bound circuits: ', end-start)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:02:12.453279Z", "start_time": "2021-07-31T05:02:10.997358Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Time compiling over parameterized circuit, then binding: 1.4472951889038086\n" ] } ], "source": [ "start = time.time()\n", "qc = QuantumCircuit(5)\n", "theta = Parameter('theta')\n", "\n", "for k in range(8):\n", " for i,j in combinations(range(5), 2):\n", " qc.cx(i,j)\n", " qc.rz(theta, range(5))\n", " for i,j in combinations(range(5), 2):\n", " qc.cx(i,j)\n", "\n", "transpiled_qc = transpile(qc, backend=FakeVigo())\n", "qobj = assemble([transpiled_qc.bind_parameters({theta: n})\n", " for n in theta_range], backend=FakeVigo())\n", "end = time.time()\n", "print('Time compiling over parameterized circuit, then binding: ', end-start)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Composition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Parameterized circuits can be composed like standard `QuantumCircuit`s.\n", "Generally, when composing two parameterized circuits, the resulting circuit will be parameterized by the union of the parameters of the input circuits." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, parameter names must be unique within a given circuit.\n", "When attempting to add a parameter whose name is already present in the target circuit:\n", " - if the source and target share the same `Parameter` instance, the parameters will be assumed to be the same and combined\n", " - if the source and target have different `Parameter` instances, an error will be raised\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:02:12.469556Z", "start_time": "2021-07-31T05:02:12.455911Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " ┌────────────┐┌────────────┐\n", "q_0: ┤0 ├┤0 ├\n", " │ sc_1(phi) ││ sc_2(phi) │\n", "q_1: ┤1 ├┤1 ├\n", " ├────────────┤└────────────┘\n", "q_2: ┤0 ├──────────────\n", " │ sc_2(phi) │ \n", "q_3: ┤1 ├──────────────\n", " └────────────┘ \n" ] } ], "source": [ "phi = Parameter('phi')\n", "\n", "sub_circ1 = QuantumCircuit(2, name='sc_1')\n", "sub_circ1.rz(phi, 0)\n", "sub_circ1.rx(phi, 1)\n", "\n", "sub_circ2 = QuantumCircuit(2, name='sc_2')\n", "sub_circ2.rx(phi, 0)\n", "sub_circ2.rz(phi, 1)\n", "\n", "qc = QuantumCircuit(4)\n", "qr = qc.qregs[0]\n", "\n", "qc.append(sub_circ1.to_instruction(), [qr[0], qr[1]])\n", "qc.append(sub_circ2.to_instruction(), [qr[0], qr[1]])\n", "\n", "qc.append(sub_circ2.to_instruction(), [qr[2], qr[3]])\n", "\n", "qc.draw()\n", "\n", "# The following raises an error: \"QiskitError: 'Name conflict on adding parameter: phi'\"\n", "# phi2 = Parameter('phi')\n", "# qc.u3(0.1, phi2, 0.3, 0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To insert a subcircuit under a different parameterization, the `to_instruction` method accepts an optional argument (`parameter_map`) which, when present, will generate instructions with the source parameter replaced by a new parameter." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:02:13.856680Z", "start_time": "2021-07-31T05:02:13.837242Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " ┌────────────────┐\n", "q24_0: ┤0 ├\n", " │ │\n", "q24_1: ┤1 oracle(theta) ├\n", " │ │\n", "q24_2: ┤2 ├\n", " └┬──────────────┬┘\n", "q24_3: ─┤0 ├─\n", " │ │ \n", "q24_4: ─┤1 oracle(phi) ├─\n", " │ │ \n", "q24_5: ─┤2 ├─\n", " ┌┴──────────────┴┐\n", "q24_6: ┤0 ├\n", " │ │\n", "q24_7: ┤1 oracle(gamma) ├\n", " │ │\n", "q24_8: ┤2 ├\n", " └────────────────┘\n", " ┌───────────┐ \n", "q24_0: ┤ Rz(theta) ├──■─────────────────────────────────\n", " └───────────┘┌─┴─┐┌───────────┐ \n", "q24_1: ─────────────┤ X ├┤ Rz(theta) ├──■───────────────\n", " └───┘└───────────┘┌─┴─┐┌───────────┐\n", "q24_2: ───────────────────────────────┤ X ├┤ Rz(theta) ├\n", " ┌─────────┐ └───┘└───────────┘\n", "q24_3: ─┤ Rz(phi) ├───■─────────────────────────────────\n", " └─────────┘ ┌─┴─┐ ┌─────────┐ \n", "q24_4: ─────────────┤ X ├─┤ Rz(phi) ├───■───────────────\n", " └───┘ └─────────┘ ┌─┴─┐ ┌─────────┐ \n", "q24_5: ───────────────────────────────┤ X ├─┤ Rz(phi) ├─\n", " ┌───────────┐ └───┘ └─────────┘ \n", "q24_6: ┤ Rz(gamma) ├──■─────────────────────────────────\n", " └───────────┘┌─┴─┐┌───────────┐ \n", "q24_7: ─────────────┤ X ├┤ Rz(gamma) ├──■───────────────\n", " └───┘└───────────┘┌─┴─┐┌───────────┐\n", "q24_8: ───────────────────────────────┤ X ├┤ Rz(gamma) ├\n", " └───┘└───────────┘\n" ] } ], "source": [ "p = Parameter('p')\n", "qc = QuantumCircuit(3, name='oracle')\n", "qc.rz(p, 0)\n", "qc.cx(0, 1)\n", "qc.rz(p, 1)\n", "qc.cx(1, 2)\n", "qc.rz(p, 2)\n", "\n", "theta = Parameter('theta')\n", "phi = Parameter('phi')\n", "gamma = Parameter('gamma')\n", "\n", "qr = QuantumRegister(9)\n", "larger_qc = QuantumCircuit(qr)\n", "larger_qc.append(qc.to_instruction({p: theta}), qr[0:3])\n", "larger_qc.append(qc.to_instruction({p: phi}), qr[3:6])\n", "larger_qc.append(qc.to_instruction({p: gamma}), qr[6:9])\n", "larger_qc.draw()\n", "\n", "larger_qc.decompose().draw()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-07-31T05:02:16.955198Z", "start_time": "2021-07-31T05:02:16.224522Z" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.19.0.dev0+be0ed5f
qiskit-aer0.8.2
qiskit-ignis0.6.0
qiskit-ibmq-provider0.16.0.dev0+4e20edc
System information
Python3.7.7 (default, May 6 2020, 04:59:01) \n", "[Clang 4.0.1 (tags/RELEASE_401/final)]
OSDarwin
CPUs6
Memory (Gb)32.0
Sat Jul 31 01:02:16 2021 EDT
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2021.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" }, "nteract": { "version": "0.22.4" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/circuits_advanced/02_operators_overview.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Operators" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:02:56.554914Z", "start_time": "2019-08-21T09:02:54.249612Z" } }, "outputs": [], "source": [ "import numpy as np\n", "\n", "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister\n", "from qiskit import BasicAer\n", "from qiskit.compiler import transpile\n", "from qiskit.quantum_info.operators import Operator, Pauli\n", "from qiskit.quantum_info import process_fidelity\n", "\n", "from qiskit.extensions import RXGate, XGate, CXGate" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Operator Class\n", "\n", "The `Operator` class is used in Qiskit to represent matrix operators acting on a quantum system. It has several methods to build composite operators using tensor products of smaller operators, and to compose operators.\n", "\n", "### Creating Operators\n", "\n", "The easiest way to create an operator object is to initialize it with a matrix given as a list or a Numpy array. For example, to create a two-qubit Pauli-XX operator:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:02:56.572857Z", "start_time": "2019-08-21T09:02:56.566140Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j],\n", " [1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j]],\n", " input_dims=(2, 2), output_dims=(2, 2))" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XX = Operator([[0, 0, 0, 1], [0, 0, 1, 0], [0, 1, 0, 0], [1, 0, 0, 0]])\n", "XX" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Operator Properties\n", "\n", "The operator object stores the underlying matrix, and the input and output dimension of subsystems. \n", "\n", "* `data`: To access the underlying Numpy array, we may use the `Operator.data` property.\n", "* `dims`: To return the total input and output dimension of the operator, we may use the `Operator.dim` property. *Note: the output is returned as a tuple* `(input_dim, output_dim)`, *which is the reverse of the shape of the underlying matrix.*" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:02:56.589962Z", "start_time": "2019-08-21T09:02:56.585681Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j],\n", " [1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j]])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XX.data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:02:56.615497Z", "start_time": "2019-08-21T09:02:56.611146Z" } }, "outputs": [ { "data": { "text/plain": [ "(4, 4)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "input_dim, output_dim = XX.dim\n", "input_dim, output_dim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Input and Output Dimensions\n", "\n", "The operator class also keeps track of subsystem dimensions, which can be used for composing operators together. These can be accessed using the `input_dims` and `output_dims` functions.\n", "\n", "For $2^N$ by $2^M$ operators, the input and output dimension will be automatically assumed to be M-qubit and N-qubit:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:02:56.804167Z", "start_time": "2019-08-21T09:02:56.798857Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input dimensions: (2, 2)\n", "Output dimensions: (2,)\n" ] } ], "source": [ "op = Operator(np.random.rand(2 ** 1, 2 ** 2))\n", "print('Input dimensions:', op.input_dims())\n", "print('Output dimensions:', op.output_dims())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If the input matrix is not divisible into qubit subsystems, then it will be stored as a single-qubit operator. For example, if we have a $6\\times6$ matrix:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:02:57.764881Z", "start_time": "2019-08-21T09:02:57.760401Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input dimensions: (6,)\n", "Output dimensions: (6,)\n" ] } ], "source": [ "op = Operator(np.random.rand(6, 6))\n", "print('Input dimensions:', op.input_dims())\n", "print('Output dimensions:', op.output_dims())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The input and output dimension can also be manually specified when initializing a new operator:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:02:58.292849Z", "start_time": "2019-08-21T09:02:58.287354Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input dimensions: (4,)\n", "Output dimensions: (2,)\n" ] } ], "source": [ "# Force input dimension to be (4,) rather than (2, 2)\n", "op = Operator(np.random.rand(2 ** 1, 2 ** 2), input_dims=[4])\n", "print('Input dimensions:', op.input_dims())\n", "print('Output dimensions:', op.output_dims())" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:02:58.779572Z", "start_time": "2019-08-21T09:02:58.774878Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input dimensions: (2, 3)\n", "Output dimensions: (2, 3)\n" ] } ], "source": [ "# Specify system is a qubit and qutrit\n", "op = Operator(np.random.rand(6, 6),\n", " input_dims=[2, 3], output_dims=[2, 3])\n", "print('Input dimensions:', op.input_dims())\n", "print('Output dimensions:', op.output_dims())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also extract just the input or output dimensions of a subset of subsystems using the `input_dims` and `output_dims` functions:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:03:02.187313Z", "start_time": "2019-08-21T09:03:02.183719Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dimension of input system 0: (2,)\n", "Dimension of input system 1: (3,)\n" ] } ], "source": [ "print('Dimension of input system 0:', op.input_dims([0]))\n", "print('Dimension of input system 1:', op.input_dims([1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Converting classes to Operators\n", "\n", "Several other classes in Qiskit can be directly converted to an `Operator` object using the operator initialization method. For example:\n", "\n", "* `Pauli` objects\n", "* `Gate` and `Instruction` objects\n", "* `QuantumCircuit` objects\n", "\n", "Note that the last point means we can use the `Operator` class as a unitary simulator to compute the final unitary matrix for a quantum circuit, without having to call a simulator backend. If the circuit contains any unsupported operations, an exception will be raised. Unsupported operations are: measure, reset, conditional operations, or a gate that does not have a matrix definition or decomposition in terms of gate with matrix definitions." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:03:02.854419Z", "start_time": "2019-08-21T09:03:02.842387Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j],\n", " [1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j]],\n", " input_dims=(2, 2), output_dims=(2, 2))" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create an Operator from a Pauli object\n", "\n", "pauliXX = Pauli('XX')\n", "Operator(pauliXX)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:03:03.064145Z", "start_time": "2019-08-21T09:03:03.058953Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j],\n", " [0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n", " [0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j]],\n", " input_dims=(2, 2), output_dims=(2, 2))" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create an Operator for a Gate object\n", "Operator(CXGate())" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:03:03.353613Z", "start_time": "2019-08-21T09:03:03.345462Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[0.70710678+0.j , 0. -0.70710678j],\n", " [0. -0.70710678j, 0.70710678+0.j ]],\n", " input_dims=(2,), output_dims=(2,))" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create an operator from a parameterized Gate object\n", "Operator(RXGate(np.pi / 2))" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:03:47.550069Z", "start_time": "2019-08-21T09:03:47.408126Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[ 0.70710678+0.j, 0.70710678+0.j, 0. +0.j, ...,\n", " 0. +0.j, 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0.70710678+0.j, ...,\n", " 0. +0.j, 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0. +0.j, ...,\n", " 0. +0.j, 0. +0.j, 0. +0.j],\n", " ...,\n", " [ 0. +0.j, 0. +0.j, 0. +0.j, ...,\n", " 0. +0.j, 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0.70710678+0.j, ...,\n", " 0. +0.j, 0. +0.j, 0. +0.j],\n", " [ 0.70710678+0.j, -0.70710678+0.j, 0. +0.j, ...,\n", " 0. +0.j, 0. +0.j, 0. +0.j]],\n", " input_dims=(2, 2, 2, 2, 2, 2, 2, 2, 2, 2), output_dims=(2, 2, 2, 2, 2, 2, 2, 2, 2, 2))" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create an operator from a QuantumCircuit object\n", "circ = QuantumCircuit(10)\n", "circ.h(0)\n", "for j in range(1, 10):\n", " circ.cx(j-1, j)\n", "\n", "# Convert circuit to an operator by implicit unitary simulation\n", "Operator(circ)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Using Operators in circuits\n", "\n", "Unitary `Operators` can be directly inserted into a `QuantumCircuit` using the `QuantumCircuit.append` method. This converts the `Operator` into a `UnitaryGate` object, which is added to the circuit.\n", "\n", "If the operator is not unitary, an exception will be raised. This can be checked using the `Operator.is_unitary()` function, which will return `True` if the operator is unitary and `False` otherwise." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:03:49.196556Z", "start_time": "2019-08-21T09:03:49.161398Z" }, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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WdwuL7CnI5XLs2rXLOJZKSUmBu7s7MjIyoFAojCcZLZVOr0Nj0200NTcCABqbbqOx6Xan0pqsk62tLQICAtDc3Iyvvrr/8ztMBUKLllu9qVQqc5TcikX2FAAgMDAQ+fn5QltycjKCg4PRo0cPiarqmE+PvY11/5di/HnCn+7W+/YL5+HRy0eiqqi7vPTSS5DJZGhubv/6FBsbG+Tk5JgMBAA4ePAgVq5ciSNHjpirZLG2btlKFykqKkJ0dLTQtmzZMrz11luorq7GqVOnsHDhQmi1Wvj5+UlUJTA+aibGR82UbPskncbGRrz88ssm52tubsa0adMwb948pKen3/c6hMLCwg5/pNkVLHL40Jb6+nqUlZW1OtmycuVKVFZW4s6dO7h27RoqKyslDQSijiosLERKSkq3XpjUEVbTU3BycoJOp5O6DKKHntX0FIioezAUiEjAUCAiAUOBiAQMBSISMBSISMBQICKB1VynYKmc+0pdQfd61Pa3I8LCwjq9THlFFQDAd2B/4bW5t9sRDIWfKOgJqSsgqWVlZXV6mSWrNwMAVi1OF15bAg4fiEjAUCAiAUOBiAQMBSISMBSISMBQICIBQ4GIBAwFIhIwFIhIwFAgIgFDgYgEDAUiEjAUiEjAUCAiAUOBiAQMhTZcunQJY8aMwZAhQ6BSqfDCCy9IXRKZiUajgUqlgr+/P9LS0qzigUMLFiyAl5cXbGzMczsUhkIbbGxssHr1anz99dc4ceIEDh06hPfff1/qsqiL6fV6pKWlYdeuXTh79ixqa2uxfft2qcsyacqUKSgqKjLb+hkKbejfvz8iIyMB3H20+PDhw1FRUSFxVdTVCgsL4enpieDgYABAamoq3n33XYmrMm3UqFHw8PAw2/p5OzYTvvvuO7z33nv45JNPpC6FAOgNBrzz4ef49lqN0L7hrXfbfD0qahgihga2ua7Kykp4e3sbfx44cCAuXbrUtQV/78y5Cuw70PrJ0W3V7eLkgORfjoONjcIstZjCnsJ9NDY2IiEhAQsWLMDPfvYzqcshAHKZDKNHhOLK1e9Q9e01Y/u9r6u+vQaZDAgd0v4TyA0Gg1lr/bEgX284OfQw1tairbpHRgyVLBAAhkK7dDodpk+fjrCwMCxatEjqcuhHBni4Y+zPI+47j41CgWkTn4CNov0/Lm9vb6FnUFFRAS8vry6r88dkMhkS4tXoYW933/mihwcjyNf7vvOYG0OhHenp6XB2dsb69eulLoXaoI4Ow0DP9u83H6cegX7uPe+7jsjISFRWVuL06dMAgC1btuCZZ57p0jp/zNXZEZPHjWr3ffeeroiPecxs2+8ohkIbvvjiC7z55psoKirC8OHDERYWhtdeew1A93Y5qX0KuRxTJ8ZCqWx9WsxvkCdGRg41vQ6FAtnZ2UhISICfnx+cnJyQnJxsjnKNQof4ISzYv1W7XCbD1ImxsLVVmlzH7Nmz4eXlBZ1OBy8vL2RkZHRpjTID/5V3ygefFkCn02HyuFGQyWRSl/PIO1J8Grv3HTL+bG9ni4XPJcDNxUnCqu6v4fYdZG3JQW39TWPbmJHhePIXkRJW9QP2FDqhprYeR4pPw2AwMBAsxIjQIcIY/D+e/LlFBwIAONjbYcoEtfFnL48+eGJkuIQViaw+FE6dOoVnn30W7u7usLe3R0BAAJYuXWqWbWkOF8NgMCD28eFmWT91nkwmQ8JTajj0sMOwoMFtds0tUYCPl/FThqkTY6FQWM6folUPH44dO4bRo0fD29sbixcvxqBBg3D+/HkUFBRgy5Yt91225VFdRI+Kjj6WzqovXlq0aBEcHR1x5MgRuLq6GttTU1MlrIrIulltT6GhoQHOzs6YP38+NmzYYNZt1dTWY+3mnYgYGohn4kabdVtEUrPansL169eh1+sf+GKTBxk+HC05g6MlZx5oe0RS6+jwwXLObnRSz549IZfLcfnyZalLIXqoWO3wAQBiY2Nx+vRp/Otf/4KLi4tZtvHeJ4dwtORrPJ+eiJ6uzmbZBpElsdqeAgCsW7cO9fX1iI6OxtatW5Gfn49t27YhLS2tS9ZfU1uPwpNnEDksiIFAjwyrPacAABEREfjyyy+xbNky/O53v8Pt27fh7e2NxMTELln/tZpaODs68LoEeqRY9fChO+j1esjlVt2hIuoUhgIRCfhfIBEJGApEJGAoEJGAoUBEAoYCEQkYCkQkYCgQkYChQEQChgIRCRgKRCRgKBCRgKFARAKGAhEJGApEJGAoEJGAoUBEAoYCEQkYCkQkYCgQkYChQEQChgIRCRgKRCRgKBCRgKFARAKGAhEJGApEJGAoEJHg/wEMV9NOIG/p8gAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Create an operator\n", "XX = Operator(Pauli('XX'))\n", "\n", "# Add to a circuit\n", "circ = QuantumCircuit(2, 2)\n", "circ.append(XX, [0, 1])\n", "circ.measure([0,1], [0,1])\n", "circ.draw('mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that in the above example we initialize the operator from a `Pauli` object. However, the `Pauli` object may also be directly inserted into the circuit itself and will be converted into a sequence of single-qubit Pauli gates:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'11': 1024}" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "backend = BasicAer.get_backend('qasm_simulator')\n", "circ = transpile(circ, backend, basis_gates=['u1','u2','u3','cx'])\n", "job = backend.run(circ)\n", "job.result().get_counts(0)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:12.017240Z", "start_time": "2019-08-21T09:04:11.989825Z" } }, "outputs": [ { "data": { "text/html": [ "
     ┌────────────┐┌─┐   \n",
       "q_0: ┤0           ├┤M├───\n",
       "     │  Pauli(XX) │└╥┘┌─┐\n",
       "q_1: ┤1           ├─╫─┤M├\n",
       "     └────────────┘ ║ └╥┘\n",
       "c: 2/═══════════════╩══╩═\n",
       "                    0  1
" ], "text/plain": [ " ┌────────────┐┌─┐ \n", "q_0: ┤0 ├┤M├───\n", " │ Pauli(XX) │└╥┘┌─┐\n", "q_1: ┤1 ├─╫─┤M├\n", " └────────────┘ ║ └╥┘\n", "c: 2/═══════════════╩══╩═\n", " 0 1 " ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Add to a circuit\n", "circ2 = QuantumCircuit(2, 2)\n", "circ2.append(Pauli('XX'), [0, 1])\n", "circ2.measure([0,1], [0,1])\n", "circ2.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Combining Operators\n", "\n", "Operators may be combined using several methods. \n", "\n", "### Tensor Product\n", "\n", "Two operators $A$ and $B$ may be combined into a tensor product operator $A\\otimes B$ using the `Operator.tensor` function. Note that if both $A$ and $B$ are single-qubit operators, then `A.tensor(B)` = $A\\otimes B$ will have the subsystems indexed as matrix $B$ on subsystem 0, and matrix $A$ on subsystem 1." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:14.208734Z", "start_time": "2019-08-21T09:04:14.201058Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[ 0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j],\n", " [ 0.+0.j, -0.+0.j, 0.+0.j, -1.+0.j],\n", " [ 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [ 0.+0.j, -1.+0.j, 0.+0.j, -0.+0.j]],\n", " input_dims=(2, 2), output_dims=(2, 2))" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = Operator(Pauli('X'))\n", "B = Operator(Pauli('Z'))\n", "A.tensor(B)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tensor Expansion\n", "\n", "A closely related operation is `Operator.expand`, which acts like a tensor product but in the reverse order. Hence, for two operators $A$ and $B$ we have `A.expand(B)` = $B\\otimes A$ where the subsystems indexed as matrix $A$ on subsystem 0, and matrix $B$ on subsystem 1." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:14.899024Z", "start_time": "2019-08-21T09:04:14.891072Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[ 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j],\n", " [ 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [ 0.+0.j, 0.+0.j, -0.+0.j, -1.+0.j],\n", " [ 0.+0.j, 0.+0.j, -1.+0.j, -0.+0.j]],\n", " input_dims=(2, 2), output_dims=(2, 2))" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = Operator(Pauli('X'))\n", "B = Operator(Pauli('Z'))\n", "A.expand(B)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Composition\n", "\n", "We can also compose two operators $A$ and $B$ to implement matrix multiplication using the `Operator.compose` method. We have that `A.compose(B)` returns the operator with matrix $B.A$:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:15.655155Z", "start_time": "2019-08-21T09:04:15.648295Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[ 0.+0.j, 1.+0.j],\n", " [-1.+0.j, 0.+0.j]],\n", " input_dims=(2,), output_dims=(2,))" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = Operator(Pauli('X'))\n", "B = Operator(Pauli('Z'))\n", "A.compose(B)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also compose in the reverse order by applying $B$ in front of $A$ using the `front` kwarg of `compose`: `A.compose(B, front=True)` = $A.B$:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:16.460560Z", "start_time": "2019-08-21T09:04:16.452319Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[ 0.+0.j, -1.+0.j],\n", " [ 1.+0.j, 0.+0.j]],\n", " input_dims=(2,), output_dims=(2,))" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = Operator(Pauli('X'))\n", "B = Operator(Pauli('Z'))\n", "A.compose(B, front=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Subsystem Composition\n", "\n", "Note that the previous compose requires that the total output dimension of the first operator $A$ is equal to total input dimension of the composed operator $B$ (and similarly, the output dimension of $B$ must be equal to the input dimension of $A$ when composing with `front=True`).\n", "\n", "We can also compose a smaller operator with a selection of subsystems on a larger operator using the `qargs` kwarg of `compose`, either with or without `front=True`. In this case, the relevant input and output dimensions of the subsystems being composed must match. *Note that the smaller operator must always be the argument of* `compose` *method.*\n", "\n", "For example, to compose a two-qubit gate with a three-qubit Operator:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:17.113510Z", "start_time": "2019-08-21T09:04:17.105398Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[ 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j,\n", " 0.+0.j],\n", " [ 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, -1.+0.j, 0.+0.j,\n", " 0.+0.j],\n", " [ 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j,\n", " 0.+0.j],\n", " [ 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j,\n", " -1.+0.j],\n", " [ 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j,\n", " 0.+0.j],\n", " [ 0.+0.j, -1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j,\n", " 0.+0.j],\n", " [ 0.+0.j, 0.+0.j, 1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j,\n", " 0.+0.j],\n", " [ 0.+0.j, 0.+0.j, 0.+0.j, -1.+0.j, 0.+0.j, 0.+0.j, 0.+0.j,\n", " 0.+0.j]],\n", " input_dims=(2, 2, 2), output_dims=(2, 2, 2))" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Compose XZ with a 3-qubit identity operator\n", "op = Operator(np.eye(2 ** 3))\n", "XZ = Operator(Pauli('XZ'))\n", "op.compose(XZ, qargs=[0, 2])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:17.324353Z", "start_time": "2019-08-21T09:04:17.315952Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.-1.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.-1.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.-1.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.-1.j, 0.+0.j],\n", " [0.+0.j, 0.+1.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+1.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+0.j, 0.+1.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j],\n", " [0.+0.j, 0.+0.j, 0.+1.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j, 0.+0.j]],\n", " input_dims=(2, 2, 2), output_dims=(2, 2, 2))" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Compose YX in front of the previous operator\n", "op = Operator(np.eye(2 ** 3))\n", "YX = Operator(Pauli('YX'))\n", "op.compose(YX, qargs=[0, 2], front=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Linear combinations\n", "\n", "Operators may also be combined using standard linear operators for addition, subtraction and scalar multiplication by complex numbers. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:18.829988Z", "start_time": "2019-08-21T09:04:18.812834Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[-1.5+0.j, 0. +0.j, 0. +0.j, 0. +0.j],\n", " [ 0. +0.j, 1.5+0.j, 1. +0.j, 0. +0.j],\n", " [ 0. +0.j, 1. +0.j, 1.5+0.j, 0. +0.j],\n", " [ 0. +0.j, 0. +0.j, 0. +0.j, -1.5+0.j]],\n", " input_dims=(2, 2), output_dims=(2, 2))" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "XX = Operator(Pauli('XX'))\n", "YY = Operator(Pauli('YY'))\n", "ZZ = Operator(Pauli('ZZ'))\n", "\n", "op = 0.5 * (XX + YY - 3 * ZZ)\n", "op" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An important point is that while `tensor`, `expand` and `compose` will preserve the unitarity of unitary operators, linear combinations will not; hence, adding two unitary operators will, in general, result in a non-unitary operator:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:19.151814Z", "start_time": "2019-08-21T09:04:19.147497Z" } }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "op.is_unitary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Implicit Conversion to Operators\n", "\n", "Note that for all the following methods, if the second object is not already an `Operator` object, it will be implicitly converted into one by the method. This means that matrices can be passed in directly without being explicitly converted to an `Operator` first. If the conversion is not possible, an exception will be raised." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:20.045005Z", "start_time": "2019-08-21T09:04:20.039841Z" } }, "outputs": [ { "data": { "text/plain": [ "Operator([[0.+0.j, 1.+0.j],\n", " [1.+0.j, 0.+0.j]],\n", " input_dims=(2,), output_dims=(2,))" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Compose with a matrix passed as a list\n", "Operator(np.eye(2)).compose([[0, 1], [1, 0]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison of Operators\n", "\n", "Operators implement an equality method that can be used to check if two operators are approximately equal. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:20.821642Z", "start_time": "2019-08-21T09:04:20.815611Z" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Operator(Pauli('X')) == Operator(XGate())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that this checks that each matrix element of the operators is approximately equal; two unitaries that differ by a global phase will not be considered equal:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:21.146256Z", "start_time": "2019-08-21T09:04:21.141242Z" } }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Operator(XGate()) == np.exp(1j * 0.5) * Operator(XGate())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Process Fidelity\n", "\n", "We may also compare operators using the `process_fidelity` function from the *Quantum Information* module. This is an information theoretic quantity for how close two quantum channels are to each other, and in the case of unitary operators it does not depend on global phase." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:22.171481Z", "start_time": "2019-08-21T09:04:22.147477Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Process fidelity = 1.0\n" ] } ], "source": [ "# Two operators which differ only by phase\n", "op_a = Operator(XGate()) \n", "op_b = np.exp(1j * 0.5) * Operator(XGate())\n", "\n", "# Compute process fidelity\n", "F = process_fidelity(op_a, op_b)\n", "print('Process fidelity =', F)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that process fidelity is generally only a valid measure of closeness if the input operators are unitary (or CP in the case of quantum channels), and an exception will be raised if the inputs are not CP." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:04:44.743744Z", "start_time": "2019-08-21T09:04:44.734826Z" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.20.2
qiskit-aer0.10.4
qiskit-ignis0.7.1
qiskit-ibmq-provider0.19.1
qiskit0.36.2
System information
Python version3.9.9
Python compilerGCC 11.1.0
Python buildmain, Dec 29 2021 22:19:36
OSLinux
CPUs32
Memory (Gb)125.64821243286133
Wed Jun 22 15:52:11 2022 EDT
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.9" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 } ================================================ FILE: tutorials/circuits_advanced/03_advanced_circuit_visualization.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Visualizing a Quantum Circuit" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:19.545078Z", "start_time": "2019-08-21T09:07:19.541701Z" } }, "outputs": [], "source": [ "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Drawing a Quantum Circuit\n", "\n", "When building a quantum circuit, it often helps to draw the circuit. This is supported natively by a `QuantumCircuit` object. You can either call `print()` on the circuit, or call the `draw()` method on the object. This will render a [ASCII art version](https://en.wikipedia.org/wiki/ASCII_art) of the circuit diagram." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:20.108439Z", "start_time": "2019-08-21T09:07:20.103752Z" } }, "outputs": [], "source": [ "# Build a quantum circuit\n", "circuit = QuantumCircuit(3, 3)\n", "\n", "circuit.x(1)\n", "circuit.h(range(3))\n", "circuit.cx(0, 1)\n", "circuit.measure(range(3), range(3));" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:20.325315Z", "start_time": "2019-08-21T09:07:20.317485Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " ┌───┐ ┌─┐ \n", "q_0: ┤ H ├───────■──┤M├───\n", " ├───┤┌───┐┌─┴─┐└╥┘┌─┐\n", "q_1: ┤ X ├┤ H ├┤ X ├─╫─┤M├\n", " ├───┤└┬─┬┘└───┘ ║ └╥┘\n", "q_2: ┤ H ├─┤M├───────╫──╫─\n", " └───┘ └╥┘ ║ ║ \n", "c_0: ═══════╬════════╩══╬═\n", " ║ ║ \n", "c_1: ═══════╬═══════════╩═\n", " ║ \n", "c_2: ═══════╩═════════════\n", " \n" ] } ], "source": [ "print(circuit)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:20.500036Z", "start_time": "2019-08-21T09:07:20.491928Z" } }, "outputs": [ { "data": { "text/html": [ "
     ┌───┐          ┌─┐   \n",
       "q_0: ┤ H ├───────■──┤M├───\n",
       "     ├───┤┌───┐┌─┴─┐└╥┘┌─┐\n",
       "q_1: ┤ X ├┤ H ├┤ X ├─╫─┤M├\n",
       "     ├───┤└┬─┬┘└───┘ ║ └╥┘\n",
       "q_2: ┤ H ├─┤M├───────╫──╫─\n",
       "     └───┘ └╥┘       ║  ║ \n",
       "c_0: ═══════╬════════╩══╬═\n",
       "            ║           ║ \n",
       "c_1: ═══════╬═══════════╩═\n",
       "            ║             \n",
       "c_2: ═══════╩═════════════\n",
       "
" ], "text/plain": [ " ┌───┐ ┌─┐ \n", "q_0: ┤ H ├───────■──┤M├───\n", " ├───┤┌───┐┌─┴─┐└╥┘┌─┐\n", "q_1: ┤ X ├┤ H ├┤ X ├─╫─┤M├\n", " ├───┤└┬─┬┘└───┘ ║ └╥┘\n", "q_2: ┤ H ├─┤M├───────╫──╫─\n", " └───┘ └╥┘ ║ ║ \n", "c_0: ═══════╬════════╩══╬═\n", " ║ ║ \n", "c_1: ═══════╬═══════════╩═\n", " ║ \n", "c_2: ═══════╩═════════════\n", " " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circuit.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Alternative Renderers for Circuits\n", "\n", "A text output is useful for quickly seeing the output while developing a circuit, but it doesn't provide the most flexibility in its output. There are two alternative output renderers for the quantum circuit. One uses [matplotlib](https://matplotlib.org/), and the other uses [LaTeX](https://www.latex-project.org/), which leverages the [qcircuit package](https://github.com/CQuIC/qcircuit). These can be specified by using `mpl` and `latex` values for the `output` kwarg on the draw() method." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:21.031200Z", "start_time": "2019-08-21T09:07:20.821727Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Matplotlib Drawing\n", "circuit.draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Controlling output from circuit.draw()\n", "\n", "By default, the `draw()` method returns the rendered image as an object and does not output anything. The exact class returned depends on the output specified: `'text'` (the default) returns a `TextDrawer` object, `'mpl'` returns a `matplotlib.Figure` object, and `latex` returns a `PIL.Image` object. Having the return types enables modifying or directly interacting with the rendered output from the drawers. Jupyter notebooks understand these return types and render them for us in this tutorial, but when running outside of Jupyter, you do not have this feature automatically. However, the `draw()` method has optional arguments to display or save the output. When specified, the `filename` kwarg takes a path to which it saves the rendered output. Alternatively, if you're using the `mpl` or `latex` outputs, you can leverage the `interactive` kwarg to open the image in a new window (this will not always work from within a notebook but will be demonstrated anyway)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Customizing the output\n", "\n", "Depending on the output, there are also options to customize the circuit diagram rendered by the circuit.\n", "\n", "### Disable Plot Barriers and Reversing Bit Order\n", "The first two options are shared among all three backends. They allow you to configure both the bit orders and whether or not you draw barriers. These can be set by the `reverse_bits` kwarg and `plot_barriers` kwarg, respectively. The examples below will work with any output backend; `mpl` is used here for brevity." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:22.894879Z", "start_time": "2019-08-21T09:07:22.884270Z" } }, "outputs": [], "source": [ "# Draw a new circuit with barriers and more registers\n", "\n", "q_a = QuantumRegister(3, name='qa')\n", "q_b = QuantumRegister(5, name='qb')\n", "c_a = ClassicalRegister(3)\n", "c_b = ClassicalRegister(5)\n", "\n", "circuit = QuantumCircuit(q_a, q_b, c_a, c_b)\n", "\n", "circuit.x(q_a[1])\n", "circuit.x(q_b[1])\n", "circuit.x(q_b[2])\n", "circuit.x(q_b[4])\n", "circuit.barrier()\n", "circuit.h(q_a)\n", "circuit.barrier(q_a)\n", "circuit.h(q_b)\n", "circuit.cswap(q_b[0], q_b[1], q_b[2])\n", "circuit.cswap(q_b[2], q_b[3], q_b[4])\n", "circuit.cswap(q_b[3], q_b[4], q_b[0])\n", "circuit.barrier(q_b)\n", "circuit.measure(q_a, c_a)\n", "circuit.measure(q_b, c_b);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:26.192606Z", "start_time": "2019-08-21T09:07:23.731988Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Draw the circuit\n", "circuit.draw(output='mpl')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:29.055491Z", "start_time": "2019-08-21T09:07:26.594527Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Draw the circuit with reversed bit order\n", "circuit.draw(output='mpl', reverse_bits=True)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:31.528574Z", "start_time": "2019-08-21T09:07:29.102557Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Draw the circuit without barriers\n", "circuit.draw(output='mpl', plot_barriers=False)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:34.023384Z", "start_time": "2019-08-21T09:07:31.568046Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Draw the circuit without barriers and reverse bit order\n", "circuit.draw(output='mpl', plot_barriers=False, reverse_bits=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backend-specific customizations\n", "\n", "Some available customizing options are specific to a backend. The `line_length` kwarg for the `text` backend can be used to set a maximum width for the output. When a diagram is wider than the maximum, it will wrap the diagram below. The `mpl` backend has the `style` kwarg, which is used to customize the output. The `scale` option is used by the `mpl` and `latex` backends to scale the size of the output image with a multiplicative adjustment factor. The `style` kwarg takes in a `dict` with multiple options, providing a high level of flexibility for changing colors, changing rendered text for different types of gates, different line styles, etc. Available options are:\n", "\n", "- **textcolor** (str): The color code to use for text. Defaults to `'#000000'`\n", "- **subtextcolor** (str): The color code to use for subtext. Defaults to `'#000000'`\n", "- **linecolor** (str): The color code to use for lines. Defaults to `'#000000'`\n", "- **creglinecolor** (str): The color code to use for classical register lines `'#778899'`\n", "- **gatetextcolor** (str): The color code to use for gate text `'#000000'`\n", "- **gatefacecolor** (str): The color code to use for gates. Defaults to `'#ffffff'`\n", "- **barrierfacecolor** (str): The color code to use for barriers. Defaults to `'#bdbdbd'`\n", "- **backgroundcolor** (str): The color code to use for the background. Defaults to `'#ffffff'`\n", "- **fontsize** (int): The font size to use for text. Defaults to 13\n", "- **subfontsize** (int): The font size to use for subtext. Defaults to 8\n", "- **displaytext** (dict): A dictionary of the text to use for each element\n", " type in the output visualization. The default values are:\n", " \n", " \n", " 'id': 'id',\n", " 'u0': 'U_0',\n", " 'u1': 'U_1',\n", " 'u2': 'U_2',\n", " 'u3': 'U_3',\n", " 'x': 'X',\n", " 'y': 'Y',\n", " 'z': 'Z',\n", " 'h': 'H',\n", " 's': 'S',\n", " 'sdg': 'S^\\\\dagger',\n", " 't': 'T',\n", " 'tdg': 'T^\\\\dagger',\n", " 'rx': 'R_x',\n", " 'ry': 'R_y',\n", " 'rz': 'R_z',\n", " 'reset': '\\\\left|0\\\\right\\\\rangle'\n", " \n", " \n", " You must specify all the necessary values if using this. There is\n", " no provision for an incomplete dict passed in.\n", "- **displaycolor** (dict): The color codes to use for each circuit element.\n", " By default, all values default to the value of `gatefacecolor` and\n", " the keys are the same as `displaytext`. Also, just like\n", " `displaytext`, there is no provision for an incomplete dict passed\n", " in.\n", "- **latexdrawerstyle** (bool): When set to True, enable LaTeX mode, which will\n", " draw gates like the `latex` output modes.\n", "- **usepiformat** (bool): When set to True, use radians for output.\n", "- **fold** (int): The number of circuit elements at which to fold the circuit.\n", " Defaults to 20\n", "- **cregbundle** (bool): If set True, bundle classical registers.\n", "- **showindex** (bool): If set True, draw an index.\n", "- **compress** (bool): If set True, draw a compressed circuit.\n", "- **figwidth** (int): The maximum width (in inches) for the output figure.\n", "- **dpi** (int): The DPI to use for the output image. Defaults to 150.\n", "- **creglinestyle** (str): The style of line to use for classical registers.\n", " Choices are `'solid'`, `'doublet'`, or any valid matplotlib\n", " `linestyle` kwarg value. Defaults to `doublet`." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:34.082174Z", "start_time": "2019-08-21T09:07:34.067403Z" } }, "outputs": [ { "data": { "text/html": [ "
            ░ ┌───┐ ░    ┌─┐                           \n",
       "qa_0: ──────░─┤ H ├─░────┤M├───────────────────────────\n",
       "      ┌───┐ ░ ├───┤ ░    └╥┘┌─┐                        \n",
       "qa_1: ┤ X ├─░─┤ H ├─░─────╫─┤M├────────────────────────\n",
       "      └───┘ ░ ├───┤ ░     ║ └╥┘┌─┐                     \n",
       "qa_2: ──────░─┤ H ├─░─────╫──╫─┤M├─────────────────────\n",
       "            ░ ├───┤ ░     ║  ║ └╥┘    ░ ┌─┐            \n",
       "qb_0: ──────░─┤ H ├─■─────╫──╫──╫──X──░─┤M├────────────\n",
       "      ┌───┐ ░ ├───┤ │     ║  ║  ║  │  ░ └╥┘┌─┐         \n",
       "qb_1: ┤ X ├─░─┤ H ├─X─────╫──╫──╫──┼──░──╫─┤M├─────────\n",
       "      ├───┤ ░ ├───┤ │     ║  ║  ║  │  ░  ║ └╥┘┌─┐      \n",
       "qb_2: ┤ X ├─░─┤ H ├─X──■──╫──╫──╫──┼──░──╫──╫─┤M├──────\n",
       "      └───┘ ░ ├───┤    │  ║  ║  ║  │  ░  ║  ║ └╥┘┌─┐   \n",
       "qb_3: ──────░─┤ H ├────X──╫──╫──╫──■──░──╫──╫──╫─┤M├───\n",
       "      ┌───┐ ░ ├───┤    │  ║  ║  ║  │  ░  ║  ║  ║ └╥┘┌─┐\n",
       "qb_4: ┤ X ├─░─┤ H ├────X──╫──╫──╫──X──░──╫──╫──╫──╫─┤M├\n",
       "      └───┘ ░ └───┘       ║  ║  ║     ░  ║  ║  ║  ║ └╥┘\n",
       "c0_0: ════════════════════╩══╬══╬════════╬══╬══╬══╬══╬═\n",
       "                             ║  ║        ║  ║  ║  ║  ║ \n",
       "c0_1: ═══════════════════════╩══╬════════╬══╬══╬══╬══╬═\n",
       "                                ║        ║  ║  ║  ║  ║ \n",
       "c0_2: ══════════════════════════╩════════╬══╬══╬══╬══╬═\n",
       "                                         ║  ║  ║  ║  ║ \n",
       "c1_0: ═══════════════════════════════════╩══╬══╬══╬══╬═\n",
       "                                            ║  ║  ║  ║ \n",
       "c1_1: ══════════════════════════════════════╩══╬══╬══╬═\n",
       "                                               ║  ║  ║ \n",
       "c1_2: ═════════════════════════════════════════╩══╬══╬═\n",
       "                                                  ║  ║ \n",
       "c1_3: ════════════════════════════════════════════╩══╬═\n",
       "                                                     ║ \n",
       "c1_4: ═══════════════════════════════════════════════╩═\n",
       "
" ], "text/plain": [ " ░ ┌───┐ ░ ┌─┐ \n", "qa_0: ──────░─┤ H ├─░────┤M├───────────────────────────\n", " ┌───┐ ░ ├───┤ ░ └╥┘┌─┐ \n", "qa_1: ┤ X ├─░─┤ H ├─░─────╫─┤M├────────────────────────\n", " └───┘ ░ ├───┤ ░ ║ └╥┘┌─┐ \n", "qa_2: ──────░─┤ H ├─░─────╫──╫─┤M├─────────────────────\n", " ░ ├───┤ ░ ║ ║ └╥┘ ░ ┌─┐ \n", "qb_0: ──────░─┤ H ├─■─────╫──╫──╫──X──░─┤M├────────────\n", " ┌───┐ ░ ├───┤ │ ║ ║ ║ │ ░ └╥┘┌─┐ \n", "qb_1: ┤ X ├─░─┤ H ├─X─────╫──╫──╫──┼──░──╫─┤M├─────────\n", " ├───┤ ░ ├───┤ │ ║ ║ ║ │ ░ ║ └╥┘┌─┐ \n", "qb_2: ┤ X ├─░─┤ H ├─X──■──╫──╫──╫──┼──░──╫──╫─┤M├──────\n", " └───┘ ░ ├───┤ │ ║ ║ ║ │ ░ ║ ║ └╥┘┌─┐ \n", "qb_3: ──────░─┤ H ├────X──╫──╫──╫──■──░──╫──╫──╫─┤M├───\n", " ┌───┐ ░ ├───┤ │ ║ ║ ║ │ ░ ║ ║ ║ └╥┘┌─┐\n", "qb_4: ┤ X ├─░─┤ H ├────X──╫──╫──╫──X──░──╫──╫──╫──╫─┤M├\n", " └───┘ ░ └───┘ ║ ║ ║ ░ ║ ║ ║ ║ └╥┘\n", "c0_0: ════════════════════╩══╬══╬════════╬══╬══╬══╬══╬═\n", " ║ ║ ║ ║ ║ ║ ║ \n", "c0_1: ═══════════════════════╩══╬════════╬══╬══╬══╬══╬═\n", " ║ ║ ║ ║ ║ ║ \n", "c0_2: ══════════════════════════╩════════╬══╬══╬══╬══╬═\n", " ║ ║ ║ ║ ║ \n", "c1_0: ═══════════════════════════════════╩══╬══╬══╬══╬═\n", " ║ ║ ║ ║ \n", "c1_1: ══════════════════════════════════════╩══╬══╬══╬═\n", " ║ ║ ║ \n", "c1_2: ═════════════════════════════════════════╩══╬══╬═\n", " ║ ║ \n", "c1_3: ════════════════════════════════════════════╩══╬═\n", " ║ \n", "c1_4: ═══════════════════════════════════════════════╩═\n", " " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Set line length to 80 for above circuit\n", "circuit.draw(output='text')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:34.550463Z", "start_time": "2019-08-21T09:07:34.114408Z" } }, "outputs": [ { "data": { "image/png": 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V6jSso/4v9dfKv650zwUYyPqbvrIv/VjF33wr+w+pKj52TL6v/k2Wat7xUZc3V79pdAkuyUpLkcXqo7DoFg7tx9K3KqhGpKqHxVzjSM/hLWONihUaGqpVq1YpPDxcK1eu1MCBA3XmzBmnx+3evVurVq1S586dJUnnzp3Thg0bKrtcAIDJmfrX+rbDNmXuyrzqqk7uoVzVbVpXvv4l2XHhuIVaPGmxYm+K1YMzH9TEzyfqyeQnFVA9QDc0u6H0uI6DOqrJ7U3kG1D1M6clMEDWBwao6JXXVLxtm3z/+hdZgoOMLstlabvSjC7BJVlpKapVt7F8qznex5advlURsd6xWuQtY42K9dprrykmJkY//PCD+vfv71Iokko2WnjhhRdUVFSkDRs2KCAgQG+//bYsFkslVwwAMLOq/9N7GWwZNklSaKTjjcBnz5zV/vX71bxnc0lSxs4MbVy6UYOTBqvzw51L+6VtSFPByQKHFaPKNqn2pEp7bb/V17nKVVAgn8GDZKlVq9yHVtb1PPHEE077JCYmOu2XmJhYUSU5mLhgost9s9JSZMvapzljHXfqOleYr459n3H5dcw61mbwdELJrn+Tak9y+NpITZo00YgRI1RQUKChQ4eqsLDQpeMu3Whh6NChWrVqlbZv365bb71Vffv21YoVKxz6G32dAADPl5ST5FI/U68YBYcFS5KO7jvq0L521lqdOHKiNPDYDpcEqLpN6pb2KTpXpOXPlWy6cOl9SGZiT14r++IlstzdS0X/Xq7i4mKjS6qSsg6k6ub+z2vIi1sc/vj6BSrSS1aMYD7jx4+XJM2fP18//fSTS8dcHooWLlyonJwcvfLKK5KkcePGVVq9AACYesUorEGYolpEKTkxWUG1glTzhprasmKLdn2xS9LFe4eiWkTJL8BPn7zwiXpN7qVTuae07vV1Op17WharRTe2utFtNbuaeK/HlFTX+9p/SFHRP2fL54XnZWnUSOcfHq7ir76W5bZby3XOyrqeqPQop30SExPVeWjnMvvUf65+RZXk4ICLi3O2I/tUeCpX9Vvfreph0Y7tp22KKMfGC2YdazPInFvyz6ScJIev3enylZv7779fkjR37lyXjr9aKLrg3Xff1csvv6xevXopODhYp06dKv2eu68TAFB1mXrFyGq1atg7w1S3aV0tfWqpPpjwgUJqh6jbyG6y+loV1aLkB76aUTX1+7m/14msE5r30Dytm71Od0y4Q7E3xyqyUaT8g/0NvhL3su/YqaK/JshnymRZW7e6eK/RgkVetU336OmjjS7Bqay0FPn6B12xI13m3vUKCYtRcI1IgyorH28Ya1SciIgIxcTE6OTJk9q8ebPT/mWFIknKzc3Vjz/+KKvVqrZtq+ZOnwAA45l6xUiSIuIjNGHFBIe2BWMXKLJxpKoFVitta31va7W+t7VDv3b3t7vi9YrOFcleZFexvVhF54t0ruCcfP19q8xNw8UHflbRH5+Xz5hRsnbtUtpu/c29JTvUffW1LD1uK+MVPEfPgT2NLsGprLQURcZ2ktXH8T/VzH3fedXH6LxhrFFxGjVqJEnauXOn04/YOgtFF2zfvl3t27dXkyZNrrrdNwAAv5bpg9HVpG9OV4OODa7r2A8nfaiURSmSpLTvSnbiem7LcwqrF1ZR5RnKEttAfsuWXNkeECC/JR+4vZ5fY1DbQVqy5cpr8SS3PvTaVdvvGP6Gmyv5dbxhrFFx9uzZowcffFA2m63MftHR0Xr66addek7RG2+8oc8//1zff/99RZcLAIAkgtEVCvMLlb0/W91GdLuu4383+3f63ezfVXBVAOA9srOztXjxYqf9Dh06pN69eysmJkaLFi0qs++GDRt4lhEAoFIRjC7jH+KvxGNsGwwA7vDNN98YXQIAAJJMvvkCzK39re2NLsE0GGsAAODpCEYwrWmzphldgmkw1gAAwNMRjGBaCY8nGF2CaTDWAADA0xGMYFqbvtpkdAmmwVgDAABPRzACAAAAYHoEIwAAAACmRzCCafHAUfdhrAEAgKcjGMG0kpcmG12CaTDWAADA0/GAV5R6peMeo0twq7kz5qrnwJ6GnDv2npmGnNcoRo413CMpJ6ncx2TODZQk3TD6jMPXAAAYgRUjAAAAAKZHMAIAAABgegQjmNbUmVONLsE0GGsAAODpCEYwrbhmcUaXYBqMNQAA8HQEI5jW2F5jjS7BNBhrAADg6QhGAAAAAEyPYAQAAADA9AhGMK1mHZoZXYJpMNYAAMDTEYxgWrs27jK6BNNgrAEAgKcjGAEAAAAwPYIRAAAAANMjGMG0Ej5IMLoE02CsAQCApyMYAQAAADA9ghFMa9qQaUaXYBqMNQAA8HQEIwAAAACm52t0AYAZHVg50e3njL1nptvPCXi6SbUnuf2cSTlJbj8nAMA5VoxgWgPHDDS6BNNgrAEAgKcjGMG0Bo0bZHQJpsFYAwAAT0cwgmmNuWuM0SWYBmMNAAA8HcEIppWbnWt0CabBWAMAAE9HMAIAAABgegQjmFZss1ijSzANxhoAAHg6tuuGab286GWjSzANxhpVQb169dSxY0e1aNFCQUFBKigo0M6dO5WamqoDBw5c9ZikpCR9++23+uijj9xcLQCgvAhGkux2u9bNXqf189fLdtimiPgI9U/or8VPLFZ8l3gNThosSdr7zV59+eaXOrTlkPKP5yu4drCa3dlM/Wb0U2BooMFXgfKa88IcjfkjmwK4A2MNb2WxWPTggw/q0UcfVdeuXa/ZLyUlRa+//rref/99FRUVSZL++c9/6tFHH9WIESP0v//9T8eOHXNX2QCA60AwkrTosUX68dMf1eupXoppG6MDPxzQe6PeU/6xfPUY36O0X8b2DMXdHKfOD3dWQEiAjuw5opUvrpQkPTjrQYOqx/Va8/Ear/lh/a0JUbpl4F/UsseI0rbi4mK9OaqG7hozX/Gd7jewOue8aayBC+Lj4/X222+re/fukqQTJ05o/fr12rJli/Ly8lS9enW1adNGXbp0UadOnfTOO+9o/PjxGjZsmMaPH69HH31UBQUFGjhwIKEIALyA6YPRxqUblbIoRRM+maD4rvGSpEbdG+nQ1kPa9uk2xbSJKe1729jbSr+22+1qcFMDZWzP0J6v9kiSzhee1+InF2vPuj0qPFWomDYxGvC3AarbpK57LwpVSn7OYZ2yZapOvTYO7XlH03S24KQi4zoaVBlQdXXv3l2ffvqpQkNDlZmZqeeff14LFizQ6dOnr+gbEBCgBx98UH/+85/VqVMnbd26Vb6+viooKNB9992n//73vwZcAQCgvEwfjJITk9X0zqaloeiC8Lhw+fj5KKp5lCTJXmTXpo836du3v1V2Wrbys/NL+0a3iZYkFZ0vUp3YOurzbB+FRoZqzcw1mj9ivp7+5mn3XRCqnKy0FFmsPgqLbuHQfix9q4JqRKp6WMw1jgRwPdq1a6eVK1cqJCREy5Yt06hRo5Sbe+0t5wsKCvTuu+9q2bJlSklJUZMmTVRcXKxnn32WUAQAXsTUu9LZDtuUuStTbfu1veJ7uYdyVbdpXfn6l2THheMWavGkxYq9KVYPznxQEz+fqCeTn1RA9QDd0OwGSZJ/sL96PdVLNaNqyupjVfdR3ZW5M1PnCs659brgmjdXv2l0CS7JSktRrbqN5VvN8T627PStioj1jtUibxlrwN/fXwsWLFBISIgWLFigQYMGlRmKLvXSSy+pSZMmOn/+vCwWiyZMmKDg4OBKrhgAUFFMvWJky7BJkkIjQx3az545q/3r96t5z+aSpIydGdq4dKMGJw1W54c7l/ZL25CmgpMFpStGlzvwwwHVrldbfgF+FVbzpNqTKuy1qrInnnjCaZ/9+/erYcOGZfZJTEysqJIcTFww0eW+WWkpsmXt05yx4Q7t5wrz1bHvMy6/TmW9dzx9rM3g6YQ5kkr+HV/6tafzxLqnTp2q5s2b66efftKoUaNkt9tdOu7CRgsFBQUaMGCAZsyYoXbt2ulPf/qTpk6d6tDX6GsEALNJyklyqZ+pV4yCw0p+k3d031GH9rWz1urEkROlgcd2uCRAXXqvUNG5Ii1/brkkOdyHdMFp22ktm7pMfab3qZTa8eutWLHC6BJcknUgVTf3f15DXtzi8MfXL1CRXrJi5C1jDXPz8/PTo48+KkkaP368CgoKXDru0lB03333aeXKlRo9erQkafTo0QoKCqq0mgEAFcfUK0ZhDcIU1SJKyYnJCqoVpJo31NSWFVu064tdki7eOxTVIkp+AX765IVP1GtyL53KPaV1r6/T6dzTslgturHVjQ6ve/bMWb015C21u7+dOgzsUKE1u5p4zS4qPcppn8TERHUe2rnMPvWfq19RJTk4sNK1frYj+1R4Klf1W9+t6mHRju2nbYoox8YLlfXe8fSxNoPMuSX/TMpJcvja03lC3Zeu3tx7772KjIzUtm3b9L///c+l4y8PRRfuKUpNTdW3336rrl27auDAgXrvvfdKj/GGfzcAYEamXjGyWq0a9s4w1W1aV0ufWqoPJnygkNoh6jaym6y+VkW1KPmBr2ZUTf1+7u91IuuE5j00T+tmr9MdE+5Q7M2ximwUKf9g/9LXLDpfpPmPzFd4XDirRfjVstJS5OsfdMWOdJl71yskLEbBNSINqgyoerp06SJJ+vjjj13qf61QdMGyZcscXhcA4NlMvWIkSRHxEZqwYoJD24KxCxTZOFLVAquVtrW+t7Va39vaoV+7+9td8XofTvxQxfbi0ofCwnONnj7a6BKcykpLUWRsJ1l9HP9Tzdz3ndd8jE7yjrEG2rYt2Yhn48aNTvs6C0WXvk67dlf+vwIA4HlMH4yuJn1zuhp0bFDu43IO5ihlUYr8Avz0TOzFm+Kf+e4Z1YquVYEVoiL0HNjT6BKcuvWh167afsfwN9xcya/jDWMNHD58WFu2bFFaWlqZ/V555RWnoUiSfvnlF23ZskXp6emVUS4AoIIRjC5TmF+o7P3Z6jaiW7mPrR1Tm8+Oe5FBbQdpyZYlRpdhCow1vMGwYcNc6rdixQoNGzZMDz30UJnPKfrll19YLQIAL0Iwuox/iL8Sj7FtMADg6r7++mvFxsYqPz/feWcAgNcw9eYLAABcD0IRAFQ9BCOYVvtb2xtdgmkw1gAAwNMRjGBa02ZNM7oE02CsAQCApyMYwbQSHk8wugTTYKwBAICnIxjBtDZ9tcnoEkyDsQYAAJ6OYAQAAADA9AhGAAAAAEyPYATT4oGj7sNYAwAAT8cDXmFayUuT1XNgT0POHXvPTEPOaxQjxxooS1JOUrn6Z84NlCTdMPqMw9cAAO/HihFMa+6MuUaXYBqMNQAA8HQEIwAAAACmRzACAAAAYHoEI5jW1JlTjS7BNBhrAADg6QhGMK24ZnFGl2AajDUAAPB0BCOY1theY40uwTQYawAA4OkIRgAAAABMj+cYwbSadWhmdAlVQka9DKd97p56t0v9AJhPVHpUmd9f8sYSDRo3qMw+zC8AKgIrRjCtXRt3GV2CafSe1tvoEgB4qaVzlhpdAgCTIBgBAAAAMD2CEQAAAADTIxjBtBI+SDC6BACAE8zVANyFYAQAAADA9AhGMK1pQ6YZXQIAwAnmagDuQjACAAAAYHo8xwgwwIGVE91+zth7Zrr9nADgzSbVnmTIeZNykgw5L2B2rBjBtAaOGWh0CQAAJ5irAbgLwQim5exJ6gAA4zFXA3AXghFMa8xdY4wuAQDgBHM1AHchGMG0crNzjS4BAOAEczUAdyEYAQAAADA9ghFMK7ZZrNElAACcYK4G4C4Eo3LIO5KnSbUnaeOyjUaXggrw8qKXjS4BACqc7+kgVbPVcrm/f06YfAoCKrGiX8fb5mpfX1/Vrl1bNWvWlMViKbNvYGCgbrrpJjdVBsAZglE5HNxyUJJUr109gytBRZjzwhyjSwCACuVzJlANVg5Q7GcD5Z9b22n/gGN11GDlANVf1V8+hf5uqLD8vGGubtmypZKSkpSamqpTp07p+PHjys3Nlc1m07p16/SHP/xBkZGRDscEBgbq008/1bp169SjRw9jCgfggGBUDgc3H1RQzSDViatjdCmoAGs+XmN0CS57a0KUtq+b59BWXFysN0aGar2Oz24AACAASURBVF/Kvw2qyoliKeBYhEL3N1ZIeqysZ/2Mrgio8ux+Z3Uu+KR8C4LUYOWAMsNRwLE6qv/5/fItDNS5kJOy+55zY6Wu8+S5OjY2Vp9//rl+/PFHTZw4UR06dJCvr69ycnKUl5en0NBQ3XbbbXrxxRd18OBBzZ49WyEhIaWh6I477pDNZlNGRobRlwJAkq/RBXgCu92udbPXaf389bIdtikiPkL9E/pr8ROLFd8lXoOTBkuSDm49qJi2Mdq4dKPWzFqj7P3ZqtOwjvq90E9NejQx+CpQVeXnHNYpW6bq1Gvj0J53NE1nC04qMq6jQZVdW1Dmjbphw20KyLn4SwS771nlNPtRWR3XS1a7gdUBVVexb5HS7/pE9b7oq5CM+mqwcoB+vmeZCmvlOPS7NBSdqJemQ3d8pmIf/rssjyFDhmjOnDkKCQnRiRMn9N5772nJkiXavHmz8vPzJUkRERG65ZZbNHToUPXr10/jx49Xnz59dPToUXXq1EmZmZnq0aOH9uzZY/DVAJBYMZIkLXpskVa/ulpdhnbRmCVj1Pa+tnpv1Hs6/vNxRbeNLu13aOshHdl9RBsWbFDvab019K2hkqR5D81T7iG2E0XlyEpLkcXqo7DoFg7tx9K3KqhGpKqHxRhU2dUFZ8Sowar+8s8Jc2i3nq+m8B87KGZtb8le9ufuAVy/C+EoP+qXq64cEYp+vREjRmjhwoUKCQnRhx9+qLi4OD322GP6+uuvS0ORJB09elQrVqzQgAED1LZtW23atEn169dXp06ddOzYMUIR4GFMH4w2Lt2olEUpGvnBSN3x2B1q1L2Rek3upQYdG8h+3q6YNiU/dNoybDqRdUJhDcI0btk4tbqnlVr2bqmH5z6ss6fPasfqHZKkk0dP6o3+b2jKjVP0t+5/06Fth4y8PJThzdVvGl2CS7LSUlSrbmP5Vgt0aM9O36qIWA9bLSqWor6+UyqWLNeYXkJ/iVf1g+wyBVSma4UjbwxFnjZX33zzzZozp+S+p8mTJ+u3v/2tjh8/7vS4/fv3Ky8vr/TvRUVFys7OrrQ6AZSf6T9Kl5yYrKZ3NlV813iH9vC4cPn4+SiqeZSkktUiSeozvY+sPhd/4KvbtK6svlblZ5f8huijpz5SROMIjVg4QqmLU/XOsHf0bMqzDsfAM6TtSlPtCOc3JxstKy1Ftqx9mjM23KH9XGG+OvZ9xqCqri44o56q5dcos0+xxa5au1rpZP00N1UFmNMVH6v7bKBkt8j3XIDXhCLJs+Zqf39/vfvuu/Lx8dGrr76q1157zaXjLtxTdPvttyszM1OZmZlq3769kpKSNHTo0EquGoCrTB2MbIdtytyVqdvG3XbF93IP5apu07ry9S8ZooNbDio0MlQNOzd06Jd/PF/283bVjKqpgpMF2rF6h/6848+qFlhNXYZ10ReJX+jnlJ8Vd0tchdQ8qfakCnmdqu6JJ55w2icxMdFpv8TExIoqycHEBRNd7pt1IFU3939ezbo97NC+8JlWiizHipE73jv3d5uo8f3uL7OPpdiqwp1+mjSE93JFeTqh5LfXk2pPcvja03lj3d5YczXfKXpl7Fo1r99ZkrRl31o9M+3/dL7IMzZbcGUeNmquvtxDDz2kpk2bateuXZo+fbpLx1y60cKFe4rsdru2bdumhx9+WC+++OIVH6fz9PcU4G2ScpJc6mfqZQxbhk2SFBoZ6tB+9sxZ7V+/v/RjdNLFYHS5Tcs2yWK1qMntTZSdlq3g2sEKCQsp/X5U8yhl7c6qpCtAVWc7sk+Fp3JVv/Xdqh4WXfqn6FyBCk/bFOFhGy+cLzpbof0A/HoxEU0VHd649O/1I1soKiy+jCNwLePHj5ck/fWvf1VhYaHT/lcLRXv27NG+ffv0/vvvO7wmAOOZesUoOCxYknR031E1v6t5afvaWWt14sgJRbe5uPHCwa0HVXS2SOcKzskvoGTb4dO201ozc406PNBBtaJrKedgjgKqOz4kL6B6gApPOZ88XeVq4jW7qPQop30SExPVeWjnMvvUf65+RZXk4MBK1/plpaXI1z/oih3pMveuV0hYjIJrRF7jyCu5471T7UQN6aOy+xSrWH7d8ngvV6DMuSX/TMpJcvja03lj3d5W86X3FF1Qq3qk5jyXetXd6ozgbL42cq6+dOXmhhtuUPv27XXixAl99JGTiU7XDkUXvPXWWxo9erT69OmjSZMcV4g8+T0FVGWmDkZhDcIU1SJKyYnJCqoVpJo31NSWFVu064tdklQajGwZNp08elJh9cP0/uj31XV4V+Xn5OuLV7+Qf4i/+if0lyRVC6qmwnzHEFRwskD+wZ750DyzGz19tNElOJWVlqLI2E6y+jj+p5q577tyfYzOXc6G5ulkzAGFHGwgi67cea5YxZKlWLlNfzSgOsBcLt9oITS95CPd+VG/lLmVt6fxlLm6Q4cOkqSUlBSnq0XOQpEkbd68WWfOnFF8fLxq1qwpm81WabUDcI2pP0pntVo17J1hqtu0rpY+tVQfTPhAIbVD1G1kN1l9rYpq4bjxwiPvPyIfPx/Ne3iePp72sWJvidXjKx9XUI0gSVKduDrKP56vUzmnSs+RuStTkU1c/60+3KfnwJ5Gl+DUrQ+9poHT113RfsfwN3TvpI/dX5ALDt+6WoU1S37QKlZxaXux7JKlWIe7f+HxP4gB3u5qu89dUNZW3p7IU+bqhg1L7jHeuXNnmf1cCUWSdP78+dL22Fh26gQ8galXjCQpIj5CE1ZMcGhbMHaBIhtHqlpgNUlSy94tS5e1h8679u4xAdUD1KJXC/33lf+q75/6KnVJqiwWixp0alBp9eP6DWo7SEu2LDG6jCqnKKBAB/ouVq3dLVVrV2v5n6wpScqL363jLbaoIPyowRUCVZuzLbldfQisp/CUufqjjz7S1q1blZGRUWa/Tp06qXv37i49vHXMmDHy9/fX3r17K7pcANfB9MHoatI3p6tBxwbXdewDrz6g98e8rz/E/UHhceEaPn84W3XDdOzVzul4q8063mqzWswr2YHv8G2rDa4KqPr88qu79Jyiq4Wj/fcv1Pmg0wZU7R0yMjKchiJJ+uqrr3T//fdr7969Th/e+v3331dUeQAqAMHoMoX5hcren61uI7pd1/HVI6pr/L/ZYQYA4H7ngk8qr+Fu+eWHOn1O0aXh6Ex4ts4HEooqymeffea8EwCPQzC6jH+IvxKPued5CDBW+1vbG10CAFQsi3Tkli+lYqtkdf7w1mLfIqX3WqFiq11X2S/FIzBXA3AXghFMa9qsaUaXAAAVzyLJ4jwUXVDWqpInYK4G4C7c/ALTSng8wegSAABOMFcDcBeCEUxr01ebjC4BAOAEczUAdyEYAQAAADA9ghEAAAAA0yMYwbQ84YGBAICyMVcDcBeCEUwreWmy0SUAAJxgrgbgLmzXDdOaO2Oueg7saci5Y++Zach5AcDbGDlXJ+Uklat/5txASdINo884fA3AO7BiBAAAAMD0CEYAAAAATI9gBNOaOnOq0SUAAJxgrgbgLgQjmFZcszijSwAAOMFcDcBdCEYwrbG9xhpdAgDACeZqAO5CMAIAAABgegQjAAAAAKZHMIJpNevQzOgSAABOMFcDcBeCEUxr18ZdRpcAAHCCuRqAuxCMAAAAAJgewQgAAACA6RGMYFoJHyQYXQIAwAnmagDuQjACAAAAYHoEI5jWtCHTjC4BAOAEczUAdyEYAQAAADA9X6MLgOeYktrY7ed8peMet5/TExxYOdHt54y9Z6bbzwkAcL9JtSe5/ZxJOUluPydQ0VgxgmkNHDPQ6BIAAE4wVwNwF4IRTGvQuEFGlwAAcIK5GoC7EIxgWmPuGmN0CQAAJ5irAbgLwQimlZuda3QJAAAnmKsBuAvBCAAAAIDpEYxgWrHNYo0uoWopruT+AEyJuRqAuxCMyiHvSJ4m1Z6kjcs2Gl0KKsDLi142uoQqw1Lko5jkvqq5p5lL/X3OBCr2k0EKOhJVyZUB8HbM1ZXH399fd9xxh6ZMmaJ//etfevfdd/WPf/xDI0eOVKtWra56TK1atfT111/rjjvucHO1QOXjOUblcHDLQUlSvXb1DK4EFWHOC3M05o/c1FsRqqfHKjQ9TtXTS36za2u865p9fc4EqsHKAQqwhSnyh2460HeJZHFXpQC8DXN1xQsPD9dTTz2lESNGKDw8/Jr9Nm/erH/84x+aP3++7Ha7atWqpeTkZLVv315///vf1b59exUXs/yPqoMVo3I4uPmggmoGqU5cHaNLMVzxmTM698CDsn/9zcW2wkKdnzRZ5194UcV2u4HVuWbNx2uMLsFlb02I0vZ18xzaiouL9cbIUO1L+bdBVV10Inafsjp+K4ssivr6rmuuHF0aigpqHlf6XZ8QigCUyZvmam8wcOBA7dy5U08//bTCw8O1bds2zZ49W+PGjdPw4cM1ZcoUffDBB8rOzla7du309ttv68svv1SHDh1KQ9GePXvUp08fQhGqHFaMJNntdq2bvU7r56+X7bBNEfER6p/QX4ufWKz4LvEanDRYknRw60HFtI3RxqUbtWbWGmXvz1adhnXU74V+atKjicFX4V6WwEBZBw5Q0cJFsnTrKtntKprxkuTnJ59pU2WxkrkrSn7OYZ2yZapOvTYO7XlH03S24KQi4zoaVJmjY21SJUmRqV0V9fVdkhxXji4PRT/fs0xFgWcMqRUAzOjZZ5/VjBkzJElr1qzRs88+q++///6qff39/TV48GAlJCSoW7du2rBhg3x9fbVnzx7dfvvtysjIcGfpgFvw06ukRY8t0upXV6vL0C4as2SM2t7XVu+Nek/Hfz6u6LbRpf0ObT2kI7uPaMOCDeo9rbeGvjVUkjTvoXnKPWS+7UStv+krHc9R8TffqijpHyo+dkw+z/9Rlmp+RpdWpWSlpchi9VFYdAuH9mPpWxVUI1LVw2IMquxKx9qkXnPliFAEAMYZP368ZsyYoaKiIj3++OPq2bPnNUORJBUWFuq9995T165dZbPZ5Ovrq6KiIo0YMYJQhCrL9CtGG5duVMqiFE34ZILiu8ZLkhp1b6RDWw9p26fbFNOm5IdOW4ZNJ7JOKK5znMYtGyerT0mmDI8NV0KXBO1YvUPdHummVS+t0pblW3R071ENfXuo2vZra9i1VTZLYICsDwxQ0SuvSbVqyjfp77IEBxldlsveXP2m0SW4JCstRbXqNpZvtUCH9uz0rYqI9YzVoktdbeVIEqEIwHXxlrnakzVt2lR///vfJUnDhw/X+++/79JxtWrV0tKlS1WzZk3l5+crJCREL7/8srp37y67F3xkHigv0wej5MRkNb2zaWkouiA8Llw+fj6Kal6ya9ahrYckSX2m9ykNRZJUt2ldWX2tys/OlyTVaVhH/V/qr5V/XVkp9U6qPalSXleS/FZfZ80FBfIZPEiWWrXKfWhlXc8TTzzhtM/+/fvVsGHDMvskJiZWVEkOJi6Y6HLfrLQU2bL2ac5YxxtkzxXmq2PfZ1x+ncp871zN4Nuf1sh7Ekr//vORHZry/O2yjcp2ax1m8HTCHEkl/44v/drTeWPd3ljzBV+8UjLveFq9zuZrI+fq8vLU98c///lPBQQE6O233y5XKLr0nqJ+/fopOTlZXbp00ciRIzV37lyH/p5wncC1JOUkudTP1B+lsx22KXNX5lVXdXIP5apu07ry9S/Jjge3HFRoZKgadnacnPOP58t+3q6aUTUlSR0HdVST25vIN6DqZ0578lrZFy+R5e5eKvr3cq+7CXPFihVGl+CSrAOpurn/8xry4haHP75+gYr0wBWjC/77w9vKPZlV+vfPNrwp2ylCEYDy8Za52lO1aNFCd955p06ePKnJkye7dMzloej222/XTz/9pClTpkiSHnvsscosGTBM1f/pvQy2DJskKTQy1KH97Jmz2r9+v5r3bF7adiEYXW7Tsk2yWC1qcrt7Nl9wNfFejymprve1/5Cion/Ols8Lz8vSqJHOPzxcxV99Lcttt5brnJV1PVHpzp+Pk5iYqM5DO5fZp/5z9SuqJAcHXFycsx3Zp8JTuarf+m5VD4t2bD9tU0Q5Nl6ozPfO5S7daOGC8ffN0n1/71vmVt64Ppn//xe3STlJDl97Om+s2xtrLvX/N7b0tHqdzddGztXl5Snvj0tXb4YOLbkfesGCBbLZbE6PvVoounBP0dKlS/Xaa6+pZcuW6tixo1JTL/7g4GnvK+B6mHrFKDgsWJJ0dN9Rh/a1s9bqxJETim5z8QfRg1sPKic9R+cKzpW2nbad1pqZa9ThgQ6qFV3+j5F5K/uOnSr6a4J8pkyWtXWri/caLVjkFdt0e5OstBT5+gddsSNd5t71CgmLUXCNSIMqu7bLd5+7wNlW3gCAinfLLbdIkpYvX+60b1mhSJLOnTunVatWSZJuvvnmyikYMJCpg1FYgzBFtYhScmKyfvjwB+35co+WTF6i7xeW7NJyIRjZMmw6efSkAmsE6v3R72v3/3Zr47KNmtV7lvxD/NU/ob+Rl+FWxQd+VtEfn5fPmFGydu1S2m79zb1SXp6Kv/rawOrKZ/T00UaX4FRWWooiYzvJ6uO4uJu57zuP/Bjd1bbkvsCV5xwBwOW8Ya72ZG3alPxibdOmTWX2cxaKLrjwOm3bVt3NpWBepv4ondVq1bB3hmnJk0u09KmlCqoVpJsevEndRnbTZzM+U1QLx40XHnn/ESUnJmvew/PkF+Cn1ve2Vp/pfRRUw3t2Yvu1LLEN5LdsyZXtAQHyW/KB2+v5NXoO7Gl0CU7d+tBrV22/Y/gbbq7EOWfPKXL2nCMAuBpvmKs92dq1axUYGKjs7Gvf42mxWLRq1SqnoUiStm/frpUrV+qnn36qrJIBw5g6GElSRHyEJqyY4NC2YOwCRTaOVLXAapKklr1bln52dui8oWW+XtG5ItmL7Cq2F6vofJHOFZyTr7+vLBZL5VwArtugtoO0ZMuVIQ/l5+rDWwlHAMqLufrXuf/++532KS4u1ksvvaQXX3xRvXr1KvM5RevWrdO6desqsELAc5g+GF1N+uZ0NejY4LqO/XDSh0pZlCJJSvsuTZL03JbnFFYvrKzDAK8WcLyOqp2o6dJzii4NR9V/iZet0S6J3xsAgKGWL1+uTz/9VEVFRUaXAhiGYHSZwvxCZe/PVrcR3a7r+N/N/p1+N/t3FVwV4NlORacr/a4VKgjLdunhrcfapOpsqE0n6x0gFAGAhyAUwewIRpfxD/FX4jHPeFAcKlf7W9sbXUKVcio6vVz9T8Tuq6RKAFQlzNUA3MXUu9LB3KbNmmZ0CQAAJ5irAbgLwQimlfB4gtElAACcYK4G4C4EI5jWpq/KfqYDAMB4zNUA3IVgBAAAAMD0CEYAAAAATI9gBNPigYEA4PmYqwG4C9t1o9QrHfcYXYJbJS9NVs+BPQ05d+w9Mw05LwB4GyPnam+VlJNUrv6ZcwMlSTeMPuPwNWA2rBjBtObOmGt0CQAAJ5irAbgLwQgAAACA6RGMAAAAAJgewQimNXXmVKNLAAA4wVwNwF0IRjCtuGZxRpcAAHCCuRqAuxCMYFpje401ugQAgBPM1QDchWAEAAAAwPQIRjCtZh2aGV0CAMAJ5moA7kIwgmnt2rjL6BIAAE4wVwNwF4IRAAAAANMjGAEAAAAwPYIRTCvhgwSjSwAAOMFcDcBdCEYAAAAATI9gBNOaNmSa0SUAAJxgrgbgLgQjAAAAAKbna3QB8BxTUhu7/ZyvdNzj9nN6ggMrJ7r9nLH3zHT7OQEAcMWk2pMMOW9STpIh54VnYsUIpjVwzECjSwAAOMFcDcBdCEYwrUHjBhldAgDACeZqAO5CMIJpjblrjNElAACcYK4G4C4EI5hWbnau0SUAAJxgrgbgLgQjAAAAAKZHMIJpxTaLNboEAIATzNUA3IVgVA55R/I0qfYkbVy20ehSUAFeXvSy0SVUKcGH6snnTKDL/UMPxMtS5FOJFQGoCpircS033nijWrZsqWbNmik4OLjMvjExMbr11lvdVBm8FcGoHA5uOShJqteunsGVoCLMeWGO0SVUGcGH6qneF79Rg5UDXApH4Vs7KmZtH0WvvUcqdkOBALwWczUu8PHxUb9+/bRixQodPXpUhw4d0o8//qidO3fqxIkT2rFjh/72t78pLi7O4biYmBj973//0+eff64uXboYVD28AcGoHA5uPqigmkGqE1fH6FIMV3zmjM498KDsX39zsa2wUOcnTdb5F15Usd1uYHWuWfPxGqNLcNlbE6K0fd08h7bi4mK9MTJU+1L+bVBVFxWEZetsqE0BtjCn4Sh8a0dFpnZVsYp1sv4+yeLGQl3gd6KGau1qpdrb2yr4cAzBDTCYN83VqDw9evTQTz/9pP/85z/q27ev6tSpo+PHj2v79u3avXu3ioqK1Lx5c02ZMkX79+/X22+/rRo1apSGooYNG2r79u3asWOH0ZcCD+ZrdAGewG63a93sdVo/f71sh22KiI9Q/4T+WvzEYsV3idfgpMGSpINbDyqmbYw2Lt2oNbPWKHt/tuo0rKN+L/RTkx5NDL4K97IEBso6cICKFi6SpVtXyW5X0YyXJD8/+UybKouVzF1R8nMO65QtU3XqtXFozzuaprMFJxUZ19Ggyi4qCjyjn+9ZpgYrB5SGo5/vWaaiwDMO/S4NRRndv5Ct8S6DKr6Sz5lA3fj1Xap+0PF+hrMhecrovkanog4aVBkAmNtLL72kadOmSZL27t2r119/Xf/+97/1yy+/lPbx9/dXp06d9Mgjj+i3v/2thg8frt69e+v8+fOKjo5WSkqK7rrrLuXl5Rl1GfAC/PQqadFji7T61dXqMrSLxiwZo7b3tdV7o97T8Z+PK7ptdGm/Q1sP6cjuI9qwYIN6T+utoW8NlSTNe2iecg+ZbztR62/6SsdzVPzNtypK+oeKjx2Tz/N/lKWan9GlVSlZaSmyWH0UFt3Cof1Y+lYF1YhU9bAYgypzdCEcFdQ8ftWVI08ORdaz1dRg5QCFHGxwxff88qur/uf3KSjzRvcXBgAmN2vWLE2bNk3nzp3TH//4RzVv3lxJSUkOoUiSCgsL9c033+iRRx5RmzZtlJqaqrp16yo6Olo7duwgFMElpl8x2rh0o1IWpWjCJxMU3zVektSoeyMd2npI2z7dppg2JT902jJsOpF1QnGd4zRu2ThZfUoyZXhsuBK6JGjH6h265Xe3aPGTi7Vn3R4VnipUTJsYDfjbANVtUtew66tMlsAAWR8YoKJXXpNq1ZRv0t9lCQ4yuiyXvbn6TaNLcElWWopq1W0s32qOH0/LTt+qiFjjV4sudbWVows8NRRJUq3dLRVgC7vq9yyyqrjYrrobblXafYs87qN/QFXnLXM1Kt7DDz+sxx57TIWFherXr5/++9//unTcmTNnVKtWrdK/h4aGyu4FH/GH8UwfjJITk9X0zqaloeiC8Lhw+fj5KKp5lKSS1SJJ6jO9T2kokqS6TevK6mtVfna+is4XqU5sHfV5to9CI0O1ZuYazR8xX09/87T7LsgIBQXyGTxIlksmIW+QtitNtSNqG12GU1lpKbJl7dOcseEO7ecK89Wx7zMGVXVtl4ejCzw1FElSrV2tVKxiWa6ReiyyKjAnQgHHI1QQftTN1QHm5i1zNSpW3bp1NXPmTEnS2LFjXQ5Fl95TlJqaKqvVqvbt2+uVV17R2LFjK7NkVAGmDka2wzZl7srUbeNuu+J7uYdyVbdpXfn6lwzRwS0HFRoZqoadGzr0yz+eL/t5u2pG1ZR/sL96PdWr9HvdR3XXZzM+07mCc/ILqJiPl02qPalCXudq/FavLFd/e/Ja2RcvkeXuXir693JZet8ti6V8v06vrOt54oknnPZJTEx02i8xMbGiSnIwccFEl/tmHUjVzf2fV7NuDzu0L3ymlSLLsWJUme+dq6kZPF1zJ/+oWtUjJUmv/+dx/WfKP91ag6v++/IEWazO37uLHviPvty6xA0Vlc/TCSW7dk2qPcnha0/njXV7Y80XfPFKybzjafW6Mg8bNVeXl7e+Pzyx7scff1w1a9bUZ599pnfffdelYy4NRRfuKbrxxhu1ZcsWjRgxQn/5y190+PBhh2OMvk64R1JOkkv9TH2PkS3DJkkKjQx1aD975qz2r99f+jE66WIwutymZZtksVrU5PYrN1848MMB1a5Xu8JCkSex/5Cion/Ols+fnpPP+LGSzabir742uqwqx3ZknwpP5ap+67tVPSy69E/RuQIVnrYpwgM2XriWu296pDQUSVKfW8aqZrBn7uh49nyBS/0Kz56u5EoAANWqVdPIkSMlSTNmzHDpmKuFory8PO3cuVMff/yxfH19NWrUqMosG1WAqVeMgsNKHgZ2dN9RNb+reWn72llrdeLICUW3ubjxwsGtB1V0tshh9ee07bTWzFyjDg90UK1ox4+Rnbad1rKpy9Rnep8KrdnVxHs9pqS61s++Y6eK/pognymTZW3dSpJK7jVasEiW7t3KtSNdZV1PVHqU0z6JiYnqPLRzmX3qP1e/okpycMDFxbmstBT5+gddsSNd5t71CgmLUXCNyGsceaXKfO9c7tKNFo7c/KVq7W6lBmqh95N2XXW3OqMVrDso//2NZSnjd0VFvmc1ZF1vPejX042VuSZzbsk/k3KSHL72dN5YtzfWXOr/7/jvafU6m6+NnKvLy1vfH55Q96UrN+3atVOdOnX0008/acOGDU6PvVYouuCdd97R4MGDdffdd+v55593ONYb/v3AfUy9YhTWIExRLaKUnJisHz78QXu+3KMlk5fo+4XfS1JpMLJl2HTy6EkF1gjU+6Pf1+7/7dbGZRs1q/cs+Yf4q39Cf4fXPXvmrN4a8pba3d9OHQZ2cPt1VabiAz+r6I/Py2fMKFm7XnxImvU390p5eV61ajR6+mijS3AqKy1FkbGdZPVx/B1G7Qba1AAAIABJREFU5r7vyvUxOne6fPe5nJZby9ytzhMcb7FFspTcB3Utuc22ye53zo1VAZC8Y65GxerQoeRnp++++85pX2ehSJK+/77k57o2bdrI19fUawJwwtTByGq1atg7w1S3aV0tfWqpPpjwgUJqh6jbyG6y+loV1cJx44VH3n9EPn4+mvfwPH087WPF3hKrx1c+rqAaF3diKzpfpPmPzFd4XHiFrxZ5AktsA/ktWyJr7/9zbA8IkN+SD2TtceX9Wp6q50DP+83/5W596DUNnL7uivY7hr+heyd97P6CnLjWltzOtvI2WkGdLB3u/oVkKXYIR8WWkl2MTtTfp6yOzv8HDaDiecNcjYpVr149SdLu3bvL7OdKKJIkm82mI0eOKDAwUHXqeOZHuuEZTB+bI+IjNGHFBIe2BWMXKLJxpKoFVpMktezdsnSpdei8oWW+3ocTP1Sxvbj0obDwXIPaDtKSLZ53I723cvacIlcfAmuUvEY/qSD8qGrtaq2wXSUfXcyPOqjcZtt0MuaAZL32ahKAysNcbT5/+9vf9O677+rYsWNl9mvZsqXq1avn0sNbe/TooaKiIh09ys6iuDbTB6OrSd+crgYdG5T7uJyDOUpZlCK/AD89E3txG+VnvnvminuQgKok9EC8S88pujwc1fuirw70XeIxzwYqrJWjI13WlQaj9P/7j8EVAYD55OTkKCcnx2m/VatWqXfv3kpNTXX68FZnq0+ARDC6QmF+obL3Z6vbiG7lPrZ2TG1u4oMpnax3QCfqpelk/X1On1N0IRzV+6Kvsm76xmNCEQDA+6xZs8boElCFEIwu4x/ir8RjnvE8BFSu9re2N7qEKqPYp0gHe37icsgpCjzjUStFADwXczUAdzH15gswt2mzphldQtVS3pBDKALgAuZqAO5CMIJpJTyeYHQJAAAnmKsBuAvBCKa16atNRpcAAHCCuRqAuxCMAAAAAJgewQgAAACA6RGMYFo8MBAAPB9zNQB3YbtulHql4x6jS3Cr5KXJ6jmwpyHnjr1npiHnBQBvY+RcDfcp73MgM+cGSpJuGH3G4Wvg12DFCKY1d8Zco0sAADjBXA3AXQhGAAAAAEyPYAQAAADA9AhGMK2pM6caXQIAwAnmagDuQjCCacU1izO6BACAE8zVANyFYATTGttrrNElAACcYK4G4C4EIwAAAACmRzCCaTXr0MzoEv5fe3ceH2V5qH38miX7QhYgIRAgYV/CJosoiguggBwUEcTXigsCnoqCtZSeerSl9j14bCUudWstFRAKFXkVQUW2agXZRQUFJCwBAgRICCHrLO8fMcEhITPRZJ6ZPL/v58PH5OHOzDVjuDNXnnvuBwDgBXM1AH+hGMG0vtn+jdERAABeMFcD8BeKEQAAAADToxgBAAAAMD2KEUxrzqI5RkcAAHjBXA3AXyhGAAAAAEyPYgTTmnXXLKMjAAC8YK4G4C8UIwAAAACmZzc6AGBGB1c96vf7TBvxvN/vEwCAxmp6wnRD7jfzbKYh92sGnDGCaY2dMtboCAAAL5irAfgLxQimNe6hcUZHAAB4wVwNwF8oRjCtKUOnGB0BAOAFczUAf6EYwbTycvOMjgAA8IK5GoC/UIwAAAAAmB7FCKaV1iXN6AgAAC+YqwH4C8UIpvXM4meMjoAAYHHWYRp0S3IxbQL+xFwNMwsJCTE6gqnwE74Ozp04p+kJ07V92Xajo6AevDb7NaMjwGBxe7sp/d0JshVHeB/slpI3X6vWa26RxWlr+HAAJDFXo3FISUnRvffeqxdffFErV67URx99pH/84x+aNWuWBg8eLIvFUu1runTpor179+qGG24wILE5UYzqIPuLbElS696tDU6C+rD2nbVGR4CBLE6rEnf3UnheU7VdNab2cvR9KUrc3VtRx1IVfrqZ/4ICJsdcjWDWo0cP/fOf/9Thw4c1b948PfzwwxoxYoSGDRum8ePH63/+53+0YcMG7du3T9OmTZPNVvGLty5dumj9+vVKS0vTtGnTDH4U5kExqoPsndmKjItUs3ReFMG//vpwir7e8IbHMbfbrVcmxeq7rcsNShXc3DaXDg1frpK4MwrPr6Uc/aAUuawOZd+4SsVJJ/wfGPgx3FLsgY5KW3FH1aE2K8co5mD7iqWhABqEzWbTk08+qW3btmns2LFyu9169913NXPmTI0aNUo333yzJk6cqBdeeEGHDx9W+/bt9cILL2jTpk0aOXKk1q9fr6SkJK1evVoTJkww+uGYht3oAIHA5XJpw583aOObG5V/LF/N2zfXmDljtGTGErW/qr3GZ46XJGXvylZqr1Rtf3u71r6wVrkHctWsXTONnj1ana7rZPCjQGNVePaYLuTnqFnrnh7Hz53KUlnJeSWl9zUoWfBzRhTp0Ih31HbVmKpydGjEOxcH1FCKClsfNC4wUBcui1p+MlRxB7rIbXFVHY462VLRJ1J1ttNXyrl6nVR9BQ+An8But2vRokW6446KX0i8/PLLevrpp5WTk1Nt7Pz58zVjxgyNHj1amZmZ6tevn9577z1ZrVatXr1ao0ePVklJib8fgmlxxkjS4mmLtfqPq3XVxKs0ZekU9bq1l+Y/OF9nDp1Rq16tqsYd3XVUJ/ae0OcLP9fwWcM18a8TJUlv3P2G8o5ynYVg8+rqV42O4JOTWVtlsdqU2Kqbx/HTR3YpskmSYhJTDUrWOFSWox+eOapEKUIwS9zTS3EHukiSLO6LP+4rP07Ym6H4vd0NyVYXwTJXA5VefPFF3XHHHcrPz9eQIUP085//vMZSVMnlcmn58uW6/fbbVVJSIqvVqvLycj366KOUIj8zfTHa/vZ2bV28VZMWTdIN025Qh2s6aNgvhqlt37ZyOVxK7VnxojP/eL4KThYosW2iHlr2kDJGZKj78O665/V7VFZUpt2rd0uSFkxeoCc6PaFZbWbpuSHP6eAWXkgFqqxvsoyO4JOTWVsVn9xR9lDPZV65R3apeRpni+rDpeWoEqUIQctlUcLXveSuZb2cWy4lft074JfUBctcDUjS8OHDNXXqVJWUlOimm27S2rW+vUeuS5cuev/99xUeHq7c3FyFhITo5ZdfrnFTBjQc0y+lWzN3jTrf2Fntr27vcbxpelPZQmxK6ZoiqeJskSSNfGKkrLaLfTK5c7KsdqsKcwslSUMfG6oJL02QPdSu3at3a9698zR7z+x6yzs9YXq93VZjNmPGDK9j5s6d63Xc3Llz6yuSh0cXPurz2JNZW5V/8ju9NrWpx/Hy0kL1HfVrn2+H7x3v4qKf0LNT1qltcsXZuTJHqWbPv12bf7HS4GS1+9Wcil27pidM9/g40AVj7mDJnNqsk/4285Fax1hkVdi5BP2h3Z+Um5/tp2TV+TIPGzVX11WwfH9cKhhzB2Jmq9WqP//5z5KkJ554Qlu2bPHp6yo3Wqh8T9H999+v7du36/rrr9edd96pxYsXe4w3+nEGo8yzmT6NM/UZo/xj+cr5Jke9Rveq9nd5R/OU3DlZ9rCK7pj9RbZik2LVbmA7j3GFZwrlcrgUlxInqaIo2UPtcrvdstltOn/yvMpLyhv+waDROnlwmwaM+a3u+sMXHn/sIRFK4oxRvcovPKXdhz6r+jzv/AntPeLbDzYgkNjtoT6PDbH5PhbA5Y0cOVJpaWnav3+/z2X90lI0evRoHTt2TE8++aQk6ec//3lDRsYlTH3GKP94viQpNinW43hZcZkObDygrkO6Vh2rLEaX2rFshyxWizpdf3HzhQWTF2jXil1ylDo0aNIghYTX38W5fG28ZpdyJMXrmLlz52rgxIG1jmnz323qK5KHg6t8G5d/4juVXshTmx43KSaxlefxonw1r8PGC3zvePGDjRYqJcW30YLMPTo04h05I4oNDFe7nNcr/pt5NtPj40AXjLmDJbO1LFSuRQ5ZnbX/mHeGlOlX30yX2+70U7LqvM3XRs7VdRUs3x+XCsbcgZD50jM3P/vZzyRJr776qlwuV01f4qGmUlT5nqKFCxfqf//3f3X11VcrPT1dWVkXl5QG+v+bYGbqM0ZRiVGSpFPfnfI4vu6FdSo4UaBWPS++EM3ela2zR856nP0pyi/S2ufX6oo7rlB8q/iq4z97/Wd65sgzemDhA2rbt23DPgj8aJOfmGx0BK9OZm2VPSyy2o50Ofs3KjoxVVFNkgxK1shcsvtcJa9beQMByhVapnPtvvXyHiO38jvuNrQU+SIY5mpAkvr37y9J+uCDD7yOra0USVJRUZE++eQTSVK/fv0aJjCqMXUxSmybqJRuKVozd422/GOL9v1rn5b+Yqk2v7VZkqqKUf7xfJ0/dV4RTSK0YPIC7V2/V9uXbdcLw19QWHSYxswZU+22bSE2ZYzI0LoX11UrXggMQ8YOMTqCVyeztioprZ+sNs/f+uZ8t4lldPWlhi25K126Wx3lCMHkVJ/P5Yi8ILeq/+baLZfKowuU23OrAcnqJhjmaiA2NlZt2rRRcXGx9u7dW+tYb6Wo0s6dOyVJGRkZDZIZ1Zm6GFmtVt07714ld07W24+/rUUPL1J0QrQGTRokq92qlG6eGy/cv+B+2UJseuOeN/TOrHeUdmWaHln1iCKbRF72PhxlDp09ctYvjwd1M67XOKMjeHXt3c9p7BMbqh2/4b5XdMv0d6p/AerGy3WKatrKm3KEYOGIuqCsUUt0PvWQx5kjt9w63yZLB0ctDeglopWCYa4GpIoldK+//nqty+jCw8P10UcfeS1FkvTZZ5/pr3/9a1VBQsMz9XuMJKl5++Z6+L2HPY4tnLpQSR2TFBpR8YbU7sO7V63nnPjGxMve1oWzF7T/k/3qOqyrrHarNs3fVG1JHoAA4ePFWy93EdhgeEEJOKILlT1shULOx6jj0vslSfvu/JscUYUGJwMal4KCAj300ENex5WUlGjatGmaNGmS7rjjjlqvU7R69WqtXr26PmPCC9MXo5oc2XnkR7836JO/fKJ/PPoPWawWtejSQpOXTFZ0YnT9BgTwk1lcVoWei/PpOkU/LEf2kkjZSyIoRggq5THnqz6mFAHGevfdd/Xuu+8aHQM1oBhdorSwVLkHcjXogUF1/tqohCg9srL260YgcPS5to/REWAgt82l7BtXKvxMMxUnnfA6vrIc2UvCVRrP8ljAX5irAfgLxegSYdFhmns6MC4Uh4Y164VZRkeAwdx2p0+lqJIzokjOiKIGTATgUszVAPzF1JsvwNzmPDLH6AgAAC+YqwH4C8UIprXjkx1GRwAAeMFcDcBfKEYAAAAATI9iBAAAAMD0KEYwraVfLDU6AgDAC+ZqAP5CMYJprXl7jdERAABeMFcD8Be264Zpvf706xoydogh95024nlD7hcAgo2RczVQm8yzmXX+mpzXIyRJLSYXe3yMwMAZIwAAAACmRzECAAAAYHoUI5jWzOdnGh0BAOAFczUAf6EYwbTSu6QbHQEA4AVzNQB/oRjBtKYOm2p0BACAF8zVAPyFYgQAAADA9ChGAAAAAEyPYgTT6nJFF6MjAAC8YK4G4C8UI5jWN9u/MToCAMAL5moA/kIxAgAAAGB6FCMAAAAApkcxgmnNWTTH6AgAAC+YqwH4C8UIAAAAgOlRjGBas+6aZXQEAIAXzNUA/IViBAAAAMD07EYHQOD45baOfr/PZ/vu8/t9BoKDqx71+32mjXje7/cJAAACy/SE6X6/z8yzmX6/zx+DM0YwrbFTxhodAQDgBXM1AH+hGMG0xj00zugIAAAvmKsB+AvFCKY1ZegUoyMAALxgrgbgLxQjmFZebp7REQAAXjBXA/AXihEAAAAA06MYwbTSuqQZHQEA4AVzNQB/oRjVwbkT5zQ9Ybq2L9tudBTUg2cWP2N0BBjMXhSp+G+7+Tw+/HQzRR/hRRoCW/jpZorObuvz+JhD7RR2NrHhAv1EzNWAsaKiojRgwAANHTpU1113nVq1alXr+IEDB+r666/3U7r6RTGqg+wvsiVJrXu3NjgJ6sNrs18zOgIMZHFa1eaDMUr5bIia7rrC6/jw083U5sPblLp2pCJOtvBDQqDuQgpj1OaDMUpdM9KnEh97sL1S141Q2w/GyF4U6YeEdcdcDfhfQkKCHnvsMX355ZcqKCjQ559/rtWrV2v9+vXKzs7WiRMn9Nprr6lnz54eXzdw4EB99NFHev/995WRkWFQ+h+PYlQH2TuzFRkXqWbpzYyOYjh3cbHK77hTrk//ffFYaakc038hx+w/yO1yGZjON2vfWWt0BJ/99eEUfb3hDY9jbrdbr0yK1XdblxuUKri5bS6dydght9xK2jao1nJUWYrspREqbHVYJU1P+jEp4LvyqPM61+EbWV12pa4dUWs5ij3YXq3WD5fFbVVep6/liCjyY1LfBdNcDQQ7i8WiqVOn6vDhw/rTn/6kjIwMOZ1O7dy5Ux9//LE+/fRTnT17VklJSZo8ebK++OILLV68WImJiVWlKCYmRsuXL9eePXuMfjh1Zjc6QCBwuVza8OcN2vjmRuUfy1fz9s01Zs4YLZmxRO2vaq/xmeMlSdm7spXaK1Xb396utS+sVe6BXDVr10yjZ49Wp+s6Gfwo/MsSESHr2NvlfGuxLIOullwuOZ/+HykkRLZZM2Wx0rnrS+HZY7qQn6NmrT1/K3PuVJbKSs4rKb2vQcmCX37Hikk75dMhSto2SJJ0uqfnUtkflqKC1lk6esNKuW2BX/xhUhbpxIBPJEmJu3srde0IZd+4SoWtD3oM+2Epyu25Raeu2CRZjAgMIFBERkZqyZIluuWWWyRJH3/8sV566SV99NFHKi0t9RjbrVs3TZo0SQ8++KDuvPNODRs2TGFhYYqKitJbb72liRMnyul0GvEwfhJevUpaPG2xVv9xta6aeJWmLJ2iXrf20vwH5+vMoTNq1eviOsqju47qxN4T+nzh5xo+a7gm/nWiJOmNu99Q3lHzbSdq/Y9R0pmzcv/7MzkzX5T79GnZfvukLKEhRkdrVE5mbZXFalNiK8/3wpw+skuRTZIUk5hqULLGIb/jHh2/Zk2NZ44oRQhK35ejM9121njmiFIE4FKhoaFasWKFbrnlFp0+fVpjx47VsGHD9N5771UrRZK0e/duzZgxQxkZGdqxY4cSEhIUFRWlVatWBW0pkjhjpO1vb9fWxVv18IqH1f7q9pKkDtd00NFdR/Xl+18qtWfFi8784/kqOFmg9IHpemjZQ7LaKjpl07SmmnPVHO1evVuD7h9Udbs73tmh+ZPm695596rX6F7+f2B+YIkIl/WO2+V89jkpPk72zD/JEhWYa9Rr8urqV42O4JOTWVsVn9xR9tAIj+O5R3apeRpni+pDTWeOJFGKELxqOHNUKdhKUbDM1UAwmz17tm644Qbl5OTouuuu0759+3z6uuTkZHXo0KHq806dOiksLExFRYG5NNcb0xejNXPXqPONnatKUaWm6U1lC7EppWuKpIqzRZI08omRVaVIkpI7J8tqt6owt7DqWFlRmT5+7mMld072wyMIACUlso0fJ0t8vNFJ6iTrmywlNE8wOoZXJ7O2Kv/kd3ptalOP4+Wlheo76tcGpWp8fliOLN+/UqQUIahdUo6qDgdRKZKCZ64GgtUVV1yhxx9/XE6nU2PGjPG5FP3wPUWLFy9W165d1bNnTz399NN67LHHGjh1wzB1Mco/lq+cb3I0+KHB1f4u72iekjsnyx5W8RRlf5Gt2KRYtRvYzmNc4ZlCuRwuxaXEVR1bM3eN+k/or68//LreM09PmF7vt1kpZPWqOo13rVkn15Klstw0TM7l78oy/CZZLHX7KdtQj2fGjBlex8ydO9fruLlz59ZXJA+PLnzU57EnD27TgDG/VZdB93gcf+vXGUqqwxmjhvzeaUzuHvKkJt70O0nS4ZN7NHVWLzmc5Qanqt2v5lTs2jU9YbrHx4EuGHMHY2ZJ+v19K3Rl14r3DWz4Yon+8Ms7DU50kS/zsFFzdV0F6/dHMOYOxsxSYOaeOXOmbDabnnvuOX3++ec+fc0PS1Hle4p69OihHTt2aOrUqfr973+vvLyLbzMx+jFmns30aZyp32OUfzxfkhSbFOtxvKy4TAc2HqhaRiddLEaX2rFshyxWizpdX7H5wpkjZ/T1h1/r2snXNmBy47m2bJXzpT/L9tR/y/afU6X8fLk/+dToWI1O/onvVHohT2163KSYxFZVf5zlJSotyldzNl6oV+1Seum2QY9Ufd4mqatuv8Z7yQYC2TUZt6tfp5urPr+q+60a0GWkgYkABIqkpCTddtttcjgc+uMf/+jT19RUiip3rvvwww8VERGhiRMnNnDyhmHqM0ZRiVGSpFPfnVLXoV2rjq97YZ0KThSoVc+LGy9k78qWs8yp8pJyhYRXbC5QlF+ktc+v1RV3XKH4VhXLyN594l2N+K8RsoXYGiSzr433x/jlNt/GuXbvkfP/zpHtl7+QtUfFHvXWO26Xc+FiWa4ZVKcd6Rrq8aQcSfE6Zu7cuRo4cWCtY9r8d5v6iuThoI8n505mbZU9LLLajnQ5+zcqOjFVUU2SfL7PhvzeaQwu3WjhfGqWUj67UZNGPqNRT42qtltdIMl5veK/mWczPT4OdMGYO9gye2y00GOLrI4QJe7prdmT/l+Nu9UZwdt8beRcXVfB9v1RKRhzB2NmKTBy//DszbXXXquQkBB9+OGHysnJ8fq1lytFlebPn6+bb75ZN954ozIzLz6uYPh/I5m8GCW2TVRKtxStmbtGkfGRimsRpy/e+0LffPyNJFUVo/zj+Tp/6rwS2yRqweQFuvq+q1V4tlAf//FjhUWHacycMZKkfZ/sU8n5EnUf3t2wx9TQ3AcPyfnkb2Wb8qCsV19Vddz6H7fI9fY7cn/yqSzXVV+aGIgmPzHZ6AhenczaqqS0frLaPP+p5ny3qU7L6FC7y+4+Z3XXupU3EMhq3H1Okiy1b+UdaIJhrgaC1RVXVOzEunnzZq9jvZWiH95O5e0GG1MXI6vVqnvn3auljy3V24+/rcj4SPW/s78GTRqklU+vVEo3z40X7l9wv9bMXaM37nlDIeEh6nFLD418YqQim1TsxHZg4wEd2nZIv2n/G0lScUGxju46qtysXA2dMdSYB1nPLGltFbJsafXj4eEKWbrI73l+iiFjhxgdwatr736uxuM33PeKn5M0XrVtye3LdY6AQFTblty+XOcokATDXA0Eq5YtW0qSDhw4UOs4X0qRJGVlZcnlcqlFixayWCxyu90NkruhmLoYSVLz9s318HsPexxbOHWhkjomKTQiVJLUfXj3qlOAE9+4/JrJ6//zeg382cXT/fPum6cBdw1QnzF9GiA5fqpxvcZp6RfVSx7Mw5frFFGOEGy8XqfIx4vABgrmaqDhPPDAA5o2bZqKi4trHdesWTOFh4f7dPHW5s2bq7i4OOhKkUQxqtGRnUfUtm/bOn9deGy4wmPDqz63h9kVGR/pcQxAYLA4rUpdc4tPW3JfWo6Kmp9QUYtj/owL+CTkfIxabrjZ+5bcl5ajdcO1f9zf5YgMzmuPAPhxysrKVFZW5nXce++9p0GDBmn79u1eL9565syZ+orndxSjS5QWlir3QK4GPTDI+2Avpq2YVg+JADQEt82lY9d9pPhvM3T8mo+9XqeoshyFnotTUTKlCIGpPOa8cq5ar9Dzsd6vU/R9OXJb3CppeopSBKBWW7ZsMTpCg6MYXSIsOkxzTwfG9RDQsPpcyxJHsytKPq6i5OM+j68sR0Agy++02/fBFunkgMC+1AJzNQB/MfV1jGBus16YZXQEAIAXzNUA/IViBNOa88gcoyMAALxgrgbgLxQjmNaOT3YYHQEA4AVzNQB/oRgBAAAAMD2KEQAAAADToxjBtLhgIAAEPuZqAP7Cdt2o8mzffUZH8Ks1b6/RkLFDDLnvtBHPG3K/ABBsjJyrgcYo82xmncbnvB4hSWoxudjj48aIM0Ywrdefft3oCAAAL5irAfgLxQgAAACA6VGMAAAAAJgexQimNfP5mUZHAAB4wVwNwF8oRjCt9C7pRkcAAHjBXA3AXyhGMK2pw6YaHQEA4AVzNQB/oRgBAAAAMD2uY4RG6Xjr417H3DTzJp/GAQAajrd5mLkagL9wxgimNXzWcKMjAAC8YK4G4C8UIwAAAACmRzECAAAAYHoUIwAAAACmRzECAAAAYHoUIwAAAACmRzECAAAAYHoUIwAAAACmxwVeUW9evu1lFZ4ulNvtVvN2zTXhxQkKjw03OhYAL/b/e7+W/XKZHGUOtb+6vcbNHSerLbB/b7bsV8v05ftf6vyp83ou9zmj4/gk72ieFj28SOdyzslqs6rbzd006slRRscCAHwvsH/yIajc9+Z9mvnpTP3q379SXKs4rX95vdGRAHjhcrm05NElunfevXpi+xMqOV+ibUu3GR3Lq9639dbj6x83OkadWO1WjXpqlP5r83/p8Q2P69CWQ/pq1VdGxwIAfI9ihHoTERshqeKFVllRmSwWi8GJAHhzZMcRxSbHKrlzsiRpwN0DtGvFLoNTeZd+ZbpimscYHaNOmiQ3UeverSVJ9lC7UrqlKO9onsGpAACVWEqHevWXu/6iw9sOK6lTkm79/a1GxwEaJVeZVJ5b/fdapcesNX5si3XLHuOu8bbOHT+n+JbxVZ/Ht4pX/rH8ekx7UXmuRa6y6r8wqSm3xSqFtnA1SI66cBZLjrO+P9f2eJdskd5v98LZC/pq5Vd66J2H6iUnAOCnoxihXj246EG5XC6tfHqlNv59o65/+HqjIwGNjsUuFWwMkSPP8wX72ZVh1T+2utVsXOllb8vtdks/7Co196d6UX7aqnOfhlY7XlPuqB7lAVGMLHYpf12oXMWeha6mzJYwt5qPL/F6m45Sh+bdO0+Dpw5WUsek+g0MAPjRWEqHeme1WtV/Qn9tWbzF6ChAo2SxSrFXlvs0NqqHQ/bYy7eduJZxHsu58o7lKS4Z577xAAARNElEQVQl7idnrElEJ6fsCd7LjjXcrejejgbJUFfWECmmv2/PdcwV5bJ62W/G5XRpweQFapnRkl8cAUCA4YxRPTiy44g+mPOBDm45KJfDpRZdWui6/7xOvW/rbXQ0vykpKFFpUamaJDeRJH254suq9ywAqH9hqS6FpTpVmm277BhrhFvRvWovGK17t9a5nHM68e0JJXdO1uaFm9Xjlh71HVfS94VuYLnH2ZaaRPctl7X2IX4V0dGpC7tdcpy+/O8SbXEuRXZ1er2tJdOXKCw6TLc+zVJjAAg0FKOfaP+n+/Xq2FdlD7Orz5g+CosO064Vu/TmA28q/1i+aX4jWFxQrL9N/JscJQ7JIiV1SNLtz9xudCygUYsdWK7co1bJXfNGJzH9ymWtvnLNg9Vm1fjM8Zp37zw5yhxqd1U79R3ftwHSVghr6VJYW6dKD9Vc6OzxLkV29qFgzFiiPav3yOV06aluTyljRIbGPju2vuNKkiwWqcnAcp1Zcfm2FntluSxe1mBkfZ6lzW9tVosuLfTs4GclSQP+zwANnjK4PuMCAH4kitFP4HQ4tWT6ElmsFk1bOU2tMlpJkm6aeZOeG/Kc3n/6ffUc3VMJqQkGJ2148a3i9Yu1v6jx79wuqey4VaEtXWKjOqD+2OPciuzmVNHX1adye6JLER29FwxJ6nhtR/3681/Xd7zLih1QrtwjVslVfUKIvcp7wZCk8XPHN0Cyywtt4VJ4ukMlWdWf67BUp8Jbe18imH5lujLPZjZEPABAPaAYefHVqq+0af4mHdlxRMUFxYptHqu0AWkaMmOICk4U6PTB0+p/V/+qUiRVbFs9dMZQLfr5Im1ZvEU3z7zZwEdgvOLvbDq3IVQJI0oV1sr4N1MDjUlMn3IV77fJXepZMnwtGEawN3ErqrtDF74M8Tge1sapsJaBO0fEDHCo5LBNcv7guba4FePj+70AAIGNYnQZTodTC6cs1M7lOxWXEqcet/RQeEy4Th04pV0rdqnf+H46sOmAJKnz9Z2rfX3nGyqOHdh4wK+5A43bJRXutMue6FJoAL/gAYKVNbziTf8FGy+umQtPcyosAHZ0q010H4eK99nlKvm+ZFjdPm8oYRR7jFtRGQ5d+OJioYvs6lRIfANu5QcA8BuK0WUsm7lMO5fv1MB7BurWP9yqsKiLa8vzjuYpokmEPl/4uSSpWbtm1b4+NilWYdFhyj2Q67fMgaj4O5uc56yKH1rKMjqggUR2dapoj0uOfKtkdStmQGAXDEmyhla8B6py++6obg7ZmwR+wYju5VDxXrtcxRZZwtyKuSLwn2sAgG8smWczA/8nkZ8d2HRAL458UZ1v7KwpS6fIcplX9K+MeUV7N+zVb7b9Rs3Sq5ejp7o9pdLCUs05PKfesuW8HlFvtwUAAAA0di0mF/s0LkBXoBvrX6/8S5I06qlRly1FAAAAABoPltLVYO+GvUponaCW3VvWOi48tuJKfiUFNV/pvOR8iSKa1O8ZHl8br9HcLin3n2Gy2KWmY1hGB/iD262g/LcWjLmDMTMaXuWqjhaTiz0+DnTBmDsYM0vBmTsYM/9YFKNLFJ0rUmlhqVJ7pXodW/neotwDudXGF5wsUGlhqVr3aV2v+YJxKd2JvwRfZgAAfqwf/qwOpp/bwZg7GDNLwZk7GDNXYindj/X9O64Kcwu9Dm13VTtJ0rfrv632d9+u+9ZjDAAAAIDAxRmjS0TGRappWlOd3HdSezfsVafrOnn8/cn9J5XUIUmS1HFwRyW2TdSOZTt07ZRrq65lVFxQrI/nfixbqE397uxXr/mC4dRl0b6K6xbFDytVeNvA3jIYAID6EqxLjoIxdzBmloIzdzBm/rEoRjUY+cRIvfnAm3rtjtfUfXh3NU1vqsLcQh3celDJnZL1wIIHJEk2u013Pn+nXh37ql4c+aL6jOmjsOgw7VqxS3nZeRo9e7QSWyca/Gj864fXLQprQykCAABAcKAY1aD3bb0VHhuu9S+t175/7dPu1bsV0zRGrfu01uCHBnuM7XBNBz2y6hF9MOcD7Vy+U06HUy26tNCop0apz5g+Bj0CA1mkJteUSxbemAwAAIDgQTG6jC43dlGXG7v4NLbNFW009Z9TGzhRcLBYpLAUzhQBAAAguLD5AgAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD2KEQAAAADToxgBAAAAMD270QHQePyu5+8UFhkma0hF37771buV0jXF4FQAAASH/f/er2W/XCZHmUPtr26vcXPHyWoL7N9hL/vVMn35/pc6f+q8nst9zug4Psk7mqdFDy/SuZxzstqs6nZzN416cpTRsbx6+baXVXi6UG63W83bNdeEFycoPDbc6Fg+++fj/9SmNzcF9PcJxQj1aurbUxXXMs7oGAAABBWXy6Uljy7RpLcmKblzsv5+39+1bek29Z/Q3+hotep9W28N+8UwPdXtKaOj+Mxqt2rUU6PUundrOcocemXMK/pq1VfKGJFhdLRa3ffmfYqIjZAkLf/Ncq1/eb2GzxpucCrfHNh0QGVFZUbH8Cqwfw0BAABgAkd2HFFscqySOydLkgbcPUC7VuwyOJV36VemK6Z5jNEx6qRJchO17t1akmQPtSulW4ryjuYZnMq7ylLkcrlUVlQmi8VicCLfOEodev9372v07NFGR/GKM0aoV3+56y9yu93qdlM33TzzZtlCbEZHAgAg4J07fk7xLeOrPo9vFa/8Y/kGJjKHC2cv6KuVX+mhdx4yOopP/nLXX3R422EldUrSrb+/1eg4Pvno2Y804O4Bim4abXQUryhGqDePrHxE8a3iVXqhVIv+c5HWvbROQ2cMNToWAAANwu2W8teFyJHvuQAnd1lYjR9HtHcquqfjMrflln54AsBdr1E9lByx6vzWkGrHa8ptsbuVMLxM1tCGy+MLt0vK+yhUziLPsySXe66jujsU2clZ6206Sh2ad+88DZ46WEkdk+o38PeK9tl04avqL7drym2NcCvh5jJZalnP9eCiB+VyubTy6ZXa+PeNuv7h6+s9s6tcOrsqVG6Hb891TN9yhbdx1Xhbx3cf1+HthzXiNyPqPWdDYCkd6k18q4rfdIVFhenKn12pQ1sOGRsIAIAGZLFIER2dcpyxynHm4kuqSz92nLHKWWBRRIeaS5EkxbWM81jOlXcsT3EpDfOe3bBWLsktn3KHtXIZXookyWKVwtN9e65dxRaFp9deilxOlxZMXqCWGS0bpFxUCk9zylVi8Sl3RJqz1lJUyWq1qv+E/tqyeEtDRJY1RApv7fIps1xSWGrNpUiSsjZn6cTeE5rda7Z+1/N3cjld+l3P36mkoKRBsv9UnDH6ibYt3aYDmw7o6K6jOr7nuJxlTk14aYIG3DXA6Gh+VXqhVG6nW+Gx4XI5Xdq1YpdSurEjHQCgcQtPdSks1anS7NqXjkf3dsgWefm/b927tc7lnNOJb08ouXOyNi/crB639KjntBUsVil2YLnOrgyrdZw1ynXZM1xGiOjo1IXdLjlO194eYvqXy1r9hJiHJdOXKCw6TLc+3bDL0awhUmz/cuWvr71d2hNdiqjlDFdJQYlKi0rVJLmJJOnLFV9WvR+tIURlOFT0jU3Owtqf69iB5bWWuUH3D9Kg+wdVff5Ys8f01K7A3aiDYvQTrfzDSuVl5ykqMUqxSbHKyw78N+81hPO55/W3e/4mt8stt9Ottv3aauhjLKMDADR+sQPLlXvUKrlrfjO8LcalqO61FwyrzarxmeM17955cpQ51O6qduo7vm9DxJUkhbV0KayNU6WHL1/oYgc4ZPHySnHJjCXas3qPXE6Xnur2lDJGZGjss2PrOW0Fi0VqMrBcZ1ZcvtCFNHMpokPtZ4uyPs/S5rc2q0WXFnp28LOSpAH/Z4AGTxlcr3krhbd3KmS3S+WnLt8gvBWM4oJi/W3i3+QocUgWKalDkm5/5vYGSFvBYpdirixX/prLP9dhrZ0VZx8bEUvm2cwGXMXa+O3dsFfN2jVTQmqC1mSu0fuz3zflGSNv3O6KCQ0AgMbo3MYQFX1dc4uIG1KqiPTAewHpOGdR7j/DJFf1H9AhzV1KHF0akD+789aEqCSr5uc68T9KFZoceM912UmLzrxb8zWHwto6lTAs8LaydrulMytCVX6ihvJscavZHaWyxzWuGsEZIy++WvWVNs3fpCM7jqi4oFixzWOVNiBNQ2YMUUrXFHW6rpPREQOeI9+ivDWhiruuTCFNG9c/IAAAJCmmT7mK99vkLvVsEqEtnApPC7wX6pJkb+JWVHeHLnxZfd1Z7FVlAVmKJCmmv0Mlh22S0zNgeLojIEuRJIUmuRXe3qGS7y556W11K/bKcmNCeVF5hu70cqs8dwaRoro5G10pkth84bKcDqfefOBNvXH3Gzr+9XH1uKWHBk8ZrJY9WmrXil06d/yc0RGDRuEOu5wFFlmjGt8/IAAAJMkaLsVccekLXHfFEqkALRiSFN3HIWu458/niA4OhTYP3J/Z9li3ojIuWZpocytmQOC8H6omsf0dks3zeY3KcMgeG7jPdUgztyI6ei5NtIS5FV3te71x4IzRZSybuUw7l+/UwHsG6tY/3KqwqItrLPOO5imiSYSB6YKHI9+i4gM2RWU4ZOMpAwA0YpFdnSra46ravjuikzPgV0pYQ6XovuUq+HfF5gAWu1sx/QL/RW90L4eK99rlKq5ondE9HLLHBPZzbYt2K7qnQ4U7Ks7QWSPciu4d2GVOkmL6lasky1a1fXdM33JZa9+3I2hRjGpwYNMBbfz7RnW+sbPGzR1X7crCldtSGyHn9eBsFxe+DKnxVD0AAI1V8V67ivcG10stt8OiU4uC77VG4c4QFe4MrtcZrmKLTv49+J7rgs9CVfCZ0SnqpsXkYp/GsZSuBv965V+SpFFPjapWigAAAAA0PsH1aww/2bthrxJaJ6hl95ZGR6nG18YbCPLXhajkkE3NJpSwjA4AYBqOAotskW6vW10HmvI8i0LiA3s52qUc+RbZmrgD+n1cl3K7K3IH23MdjN8fdRVk/2QbXtG5IpUWliq1V6rRUWoUjEvpTi0IvswAAABoHFhK92N9X4QLcwuNzQEAAADAbzhjdInIuEg1TWuqk/tOau+GvdWuU3Ry/0kldUgyKF1wLKVz5FdcMC4qw6HYKwN/txUAAADAknk2s3EvFvwRdi7fqTcfeFNWm1Xdh3dX0/SmKswt1MGtB5XcKVkPLHigauym+ZuUtTlLkpSzJ0dHdx1V2oA0NU1vKklKH5CugfcMNORxGIX3FgEAACDYcMaoBr1v663w2HCtf2m99v1rn3av3q2YpjFq3ae1Bj802GNs1uYsbV281ePYwc0HdXDzwarPzVSM3C7JVW5RZFeuWwQAAIDgwRkjNAi3S7LwDjYAAAAECV66okFQigAAABBMePkKAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPQoRgAAAABMj2IEAAAAwPT+P9A2sm0a/g1/AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Change the background color in mpl\n", "\n", "style = {'backgroundcolor': 'lightgreen'}\n", "\n", "circuit.draw(output='mpl', style=style)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:34.991487Z", "start_time": "2019-08-21T09:07:34.585528Z" }, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Scale the mpl output to 1/2 the normal size\n", "circuit.draw(output='mpl', scale=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## circuit_drawer() as function\n", "\n", "If you have an application where you prefer to draw a circuit with a self-contained function instead of as a method of a circuit object, you can directly use the `circuit_drawer()` function, which is part of the public stable interface from `qiskit.tools.visualization`. The function behaves identically to the `circuit.draw()` method, except that it takes in a circuit object as required argument.\n", "\n", "
\n", "Note: In Qiskit Terra <= 0.7, the default behavior for the circuit_drawer() function is to use the latex output backend, and in 0.6.x that includes a fallback to mpl if latex fails for any reason. Starting with release > 0.7, the default changes to the text output.\n", "
" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:57.321520Z", "start_time": "2019-08-21T09:07:57.318296Z" } }, "outputs": [], "source": [ "from qiskit.tools.visualization import circuit_drawer" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:07:57.752965Z", "start_time": "2019-08-21T09:07:57.353458Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circuit_drawer(circuit, output='mpl', plot_barriers=False)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:08:30.149127Z", "start_time": "2019-08-21T09:08:30.140718Z" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
QiskitNone
Terra0.15.0
Aer0.5.1
IgnisNone
AquaNone
IBM Q Provider0.7.0
System information
Python3.8.2 (default, Mar 26 2020, 10:43:30) \n", "[Clang 4.0.1 (tags/RELEASE_401/final)]
OSDarwin
CPUs4
Memory (Gb)16.0
Fri May 08 08:43:36 2020 EDT
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2020.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 1 } ================================================ FILE: tutorials/circuits_advanced/04_transpiler_passes_and_passmanager.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Transpiler Passes and Pass Manager" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A central component of Qiskit Terra is the transpiler, which is designed for modularity and extensibility. The goal is to be able to easily write new circuit transformations (known as transpiler **passes**), and combine them with other existing passes. Which passes are chained together and in which order has a major effect on the final outcome. This pipeline is determined by a **pass manager**, which schedules the passes and also allows passes to communicate with each other by providing a shared space. In this way, the transpiler opens up the door for research into aggressive optimization of quantum circuits.\n", "\n", "In this notebook, we look at the built-in passes, how to use the pass manager, and develop a simple custom transpiler pass. In order to do the latter, we first need to introduce the internal representation of quantum circuits in Qiskit, in the form of a Directed Acyclic Graph, or **DAG**. Then, we illustrate a simple swap mapper pass, which transforms an input circuit to be compatible with a limited-connectivity quantum device.\n", "\n", "***Before you start***: You may need to install the `pydot` library and the `graphviz` library for the DAG plotting routines. If you are using Anaconda Python, you can install both with the `conda` command. If you use your system's native Python interpreter, install `pydot` using the `pip` command, and install `graphviz` using your system's native package manager (e.g. `yum`, `apt`, `dnf`, `brew`, etc.)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:56.857930Z", "start_time": "2019-12-10T21:47:54.444353Z" } }, "outputs": [], "source": [ "from qiskit import QuantumCircuit\n", "from qiskit.compiler import transpile\n", "from qiskit.transpiler import PassManager" ] }, { "cell_type": "markdown", "metadata": { "ExecuteTime": { "end_time": "2019-08-21T09:12:12.822442Z", "start_time": "2019-08-21T09:12:12.819902Z" } }, "source": [ "## PassManager object\n", "\n", "Lets you specify the set of passes you want." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:57.268332Z", "start_time": "2019-12-10T21:47:56.860709Z" } }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circ = QuantumCircuit(3)\n", "circ.ccx(0, 1, 2)\n", "circ.draw(output='mpl')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:57.533035Z", "start_time": "2019-12-10T21:47:57.270693Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.transpiler.passes import Unroller\n", "pass_ = Unroller(['u1', 'u2', 'u3', 'cx'])\n", "pm = PassManager(pass_)\n", "new_circ = pm.run(circ)\n", "new_circ.draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All of Qiskit's transpiler passes are accessible from ``qiskit.transpiler.passes``." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:57.539422Z", "start_time": "2019-12-10T21:47:57.535048Z" } }, "outputs": [ { "data": { "text/plain": [ "['ALAPSchedule',\n", " 'ALAPScheduleAnalysis',\n", " 'ASAPSchedule',\n", " 'ASAPScheduleAnalysis',\n", " 'AlignMeasures',\n", " 'ApplyLayout',\n", " 'BIPMapping',\n", " 'BarrierBeforeFinalMeasurements',\n", " 'BasicSwap',\n", " 'BasisTranslator',\n", " 'CSPLayout',\n", " 'CXCancellation',\n", " 'CXDirection',\n", " 'CheckCXDirection',\n", " 'CheckGateDirection',\n", " 'CheckMap',\n", " 'Collect1qRuns',\n", " 'Collect2qBlocks',\n", " 'CollectLinearFunctions',\n", " 'CollectMultiQBlocks',\n", " 'CommutationAnalysis',\n", " 'CommutativeCancellation',\n", " 'CommutativeInverseCancellation',\n", " 'Commuting2qGateRouter',\n", " 'ConsolidateBlocks',\n", " 'ConstrainedReschedule',\n", " 'ContainsInstruction',\n", " 'ConvertConditionsToIfOps',\n", " 'CountOps',\n", " 'CountOpsLongestPath',\n", " 'CrosstalkAdaptiveSchedule',\n", " 'DAGFixedPoint',\n", " 'DAGLongestPath',\n", " 'Decompose',\n", " 'DenseLayout',\n", " 'Depth',\n", " 'DynamicalDecoupling',\n", " 'EchoRZXWeylDecomposition',\n", " 'EnlargeWithAncilla',\n", " 'Error',\n", " 'FixedPoint',\n", " 'FullAncillaAllocation',\n", " 'GateDirection',\n", " 'GatesInBasis',\n", " 'HLSConfig',\n", " 'HighLevelSynthesis',\n", " 'HoareOptimizer',\n", " 'InstructionDurationCheck',\n", " 'InverseCancellation',\n", " 'Layout2qDistance',\n", " 'LayoutTransformation',\n", " 'LinearFunctionsSynthesis',\n", " 'LinearFunctionsToPermutations',\n", " 'LookaheadSwap',\n", " 'MergeAdjacentBarriers',\n", " 'NoiseAdaptiveLayout',\n", " 'NumTensorFactors',\n", " 'Optimize1qGates',\n", " 'Optimize1qGatesDecomposition',\n", " 'Optimize1qGatesSimpleCommutation',\n", " 'OptimizeCliffords',\n", " 'OptimizeSwapBeforeMeasure',\n", " 'PadDelay',\n", " 'PadDynamicalDecoupling',\n", " 'PulseGates',\n", " 'RZXCalibrationBuilder',\n", " 'RZXCalibrationBuilderNoEcho',\n", " 'RemoveBarriers',\n", " 'RemoveDiagonalGatesBeforeMeasure',\n", " 'RemoveFinalMeasurements',\n", " 'RemoveResetInZeroState',\n", " 'ResetAfterMeasureSimplification',\n", " 'ResourceEstimation',\n", " 'SabreLayout',\n", " 'SabreSwap',\n", " 'SetIOLatency',\n", " 'SetLayout',\n", " 'Size',\n", " 'StochasticSwap',\n", " 'TemplateOptimization',\n", " 'TimeUnitConversion',\n", " 'TrivialLayout',\n", " 'UnitarySynthesis',\n", " 'Unroll3qOrMore',\n", " 'UnrollCustomDefinitions',\n", " 'Unroller',\n", " 'VF2Layout',\n", " 'VF2PostLayout',\n", " 'ValidatePulseGates',\n", " 'Width']" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.transpiler import passes\n", "[pass_ for pass_ in dir(passes) if pass_[0].isupper()]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Different Variants of the Same Pass\n", "\n", "There can be passes that do the same job, but in different ways. For example, the ``TrivialLayout``, ``DenseLayout`` and ``NoiseAdaptiveLayout`` all choose a layout (binding of virtual qubits to physical qubits), but use different algorithms and objectives. Similarly, the ``BasicSwap``, ``LookaheadSwap`` and ``StochasticSwap`` all insert swaps to make the circuit compatible with the coupling map. The modularity of the transpiler allows plug-and-play replacements for each pass.\n", "\n", "Below, we show the swapper passes all applied to the same circuit, to transform it to match a linear chain topology. You can see differences in performance, where the ``StochasticSwap`` is clearly the best. However, this can vary depending on the input circuit." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:57.681468Z", "start_time": "2019-12-10T21:47:57.541513Z" } }, "outputs": [], "source": [ "from qiskit.transpiler import CouplingMap, Layout\n", "from qiskit.transpiler.passes import BasicSwap, LookaheadSwap, StochasticSwap\n", "\n", "coupling = [[0, 1], [1, 2], [2, 3], [3, 4], [4, 5], [5, 6]]\n", "\n", "circuit = QuantumCircuit(7)\n", "circuit.h(3)\n", "circuit.cx(0, 6)\n", "circuit.cx(6, 0)\n", "circuit.cx(0, 1)\n", "circuit.cx(3, 1)\n", "circuit.cx(3, 0)\n", "\n", "coupling_map = CouplingMap(couplinglist=coupling)\n", "\n", "bs = BasicSwap(coupling_map=coupling_map)\n", "pass_manager = PassManager(bs)\n", "basic_circ = pass_manager.run(circuit)\n", "\n", "ls = LookaheadSwap(coupling_map=coupling_map)\n", "pass_manager = PassManager(ls)\n", "lookahead_circ = pass_manager.run(circuit)\n", "\n", "ss = StochasticSwap(coupling_map=coupling_map)\n", "pass_manager = PassManager(ss)\n", "stochastic_circ = pass_manager.run(circuit)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:57.902461Z", "start_time": "2019-12-10T21:47:57.682997Z" } }, "outputs": [ { "data": { "image/png": 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4bf6F/3xCHJQWwGURXP1wrsR4KPsMXPKxC+9jfjp8XguVQqIAFomgT2bBygKGvA52uhvWFEb2xFt/JoyFO66H3MuH9nPxLrj1KijKM/MtHrEoZqYgRGLVrMvg/3wOnn3TujrYBwNc1SxtovX2fUG62RC7KAFWLLJGsw1vDPytHglxMH8GFMy2VmtI6BTAIlGQNAaunwPXemDPQevCOgc+tK71OybOmmaYlgKTJ9hr3ewVk63t8DF4+yC0vQ9P//0bOj6XA1MvttYnh+uE42ijABaJIpcT0i+1tlgy8SJrmzv9TAB/9uNmaxoJNFMjImKIAlhExBAFsIiIIQpgERFDFMAiIoYogEVEDFEAi4gYogAWETFEASwiYogCWETEEAWwiIghCmAREUMUwCIihiiARUQMUQCLiBiiABYRMUQBLCJiiAJYRMQQBbCIiCEKYBERQxTAIiKGKIBFRAxRAIuIGKIAFhExRAEsImKIAlhExBAFsIiIIbYO4EAgwIYNG8jMzCQxMZGcnBx8Ph/Z2dmUlpaaLk9EZFjiTBcwkJKSEmpra1m7di25ubk0NjZSVFTEgQMHWLNmjenyRESGxbYBXFVVRWVlJQ0NDeTn5wNQUFBAc3MztbW1zJs3z3CFIiLDY9spiIqKCgoLC3vC97SMjAzi4+Pxer0cPnyYG2+8kaysLHJycrjuuuvYsWOHoYpFRIbGlgHc1tZGS0sLy5YtO29fa2srHo+HhIQEHA4Hd9xxB36/n23btnHjjTdSXFxsoGIRkaGzbQADpKam9mrv7OzE5/P1TD9MmDCBa6+9tmf/woUL2b17d0j34XA4tPWxxerjE6t1x+IWi491tGsOlS0D2O12A+D3+3u1r1+/nvb2dnJzc/v8uXvvvZelS5dGujwRkbCw5Um49PR0vF4vFRUVpKSkkJaWRk1NDXV1dQB9BvBdd93Fjh07eOaZZ0K6j2AwGNaaR4o7Hrb+jbXHJ1brjkWx+FjbtWZbjoCdTifV1dV4PB5WrVpFcXExbreb8vJyXC4XXq+31/F33303jz/+OH/+858ZO3asoapFRIbGliNggKysLOrr63u1rVixgtmzZ5OUlNTTdtddd1FXV8ff/vY3JkyYEOUqRUQunG0DuC9NTU3k5eX13H7ttdf44Q9/yMyZM1m8eHFP+9atW6NfnIjIEMVMAHd0dOD3+ykrK+tp83g8tpvTEREJVcwEcHJyMt3d3abLEBEJG1uehBMRGQ0UwCIihiiARUQMUQCLiBiiABYRMUQBLCJiiAJYRMQQBbCIiCEKYBERQxTAIiKGKIBFRAxRAIuIGKIAFhExRAEsImKIAlhExBAFsIiIIQpgERFDFMAiIoYogEVEDFEAi4gYogAWETFEASwiYkjMfC29KbVNsO+wmftOmwhfuMrMfYtI5CmAB7HvMOx8z3QVIjISaQpCRMQQBbCIiCEKYBERQxTAIiKGKIBFRAxRAIuIGKIAFhExRAEsImKIAlhExBBbB3AgEGDDhg1kZmaSmJhITk4OPp+P7OxsSktLTZfXp5q7F7P5D3eH3C4SC7q64QU//PiJM20P+uCt/eZqCsXeQ/BQ45nb6/4Iz7wOH50yV9PZbP1R5JKSEmpra1m7di25ubk0NjZSVFTEgQMHWLNmjenyREaFk11wf731kXzHWe0t++DVNrjpSviMx1R1/Xt5Nzy0EQieaTvUAY9tgRd3wjc+Cx9LNFYeYOMArqqqorKykoaGBvLz8wEoKCigubmZ2tpa5s2bZ7hCkdHhseYz10M5K8sI/v3Gn7bC1IshKzXalfXv3Q/h4Y1najzXex/CbzfCyoLo1nUu205BVFRUUFhY2BO+p2VkZBAfH4/X6wVg6dKleL1e5s6dy4IFC3jqqadMlCsyIh0/CZt2DXyMwwG+7dGpJ1Qv+CHQT/iC9ULyxjtWEJtkyxFwW1sbLS0trF69+rx9ra2teDweEhISAKisrGTChAkAbNmyhcWLF/P+++/jcrkGvA+HwzHg/tNu/V49U2YtHlL9m//4L7xct6FX26mPOpj28WuH1I/P18A3r4vuS/S3HrKetaE+PnYRq3Xb3YwrP8fN3358wGOCQXhlzykcjjFRqmpwX/3pW0yYlDHocdfd9g9s+9v/C/v9B/sbep/DtgEMkJra+z1NZ2cnPp+PJUuW9LSdDl+ADz74AIfDEfIvHykLbvkeC5b+U6+2mrsXmylGZBiccaGFqtPlsobChv/2TnOFWneIx0WKLacg3G43AH6/v1f7+vXraW9vJzc3t1d7eXk56enp3HrrrTz66KPExQ3+uhIMBkPa8vMXh+33Gqr8/MUh1xmubaiPj122WK3b7tsLT9UO+jx1AJPGOwkGAsbrPb1dPWcaobwZevg/fxqR+w+VLUfA6enpeL1eKioqSElJIS0tjZqaGurq6gDOC+Cf//znAPh8PlavXs2zzz5LcnJy1OsWGWkmjYf0S2D3gd4n4M4WBD6VFc2qBrcoE15/p//9DmDCWMieHLWS+mTLEbDT6aS6uhqPx8OqVasoLi7G7XZTXl6Oy+XqOQF3rvz8fJxOJy+88EKUKxYZuW6dD/FxvZegne1yN1w9M6olDWpWGuRM63ufA2u25It54DR8ysCWI2CArKws6uvre7WtWLGC2bNnk5SUBEBHRweHDh1i+vTpgHUSbufOncyaNSvq9Z522z81DKldxO7SJsK3roNHX4JdB860u5wwfwZ8PhfG2CxJnA74yiKoS4bn/NZa5tMmT4ClufZYNmezh21gTU1N5OXl9dw+duwYX/ziF+no6CAuLo7ExEQeeughpk3r56VPRC5I2kT45nWw/wNoP2KF78xL4aIE05X1z+WEm+bCdR+HHe/CiS5wfwymphDS/HA0xEwAd3R04Pf7KSsr62mbNGkSmzZtMliVyOiSOt7aYklCPHimmK6ibzETwMnJyXR3d5suQ0QkbGx5Ek5EZDRQAIuIGKIAFhExRAEsImKIAlhExBAFsIiIIQpgERFDYmYdsClpE0fnfYtI5CmAB/GFq0xXICIjlaYgREQMUQCLiBiiABYRMUQBLCJiiAJYRMQQBbCIiCEKYBERQxTAIiKGKIBFRAxRAIuIGKIAFhExRAEsImKIAlhExBAFsIiIIQpgERFDFMAiIoYogEVEDFEAi4gYogAWETFEASwiYogCWETEEAWwiIghCmAREUNsHcCBQIANGzaQmZlJYmIiOTk5+Hw+srOzKS0tNV2eiMiwxJkuYCAlJSXU1taydu1acnNzaWxspKioiAMHDrBmzRrT5YmIDIttA7iqqorKykoaGhrIz88HoKCggObmZmpra5k3b57hCkVEhse2UxAVFRUUFhb2hO9pGRkZxMfH4/V6e7U/8MADOBwOampqolmmiMgFs2UAt7W10dLSwrJly87b19raisfjISEhoaftrbfe4te//jV5eXnRLFNEZFhsOQXR1tYGQGpqaq/2zs5OfD4fS5Ys6Wnr6uri9ttv5xe/+AV33HFHyPfhcDjCUutI862HgkDsPT6xWreMTMFgMKTjbDkCdrvdAPj9/l7t69evp729ndzc3J62devWsWTJEq688spoligiMmy2HAGnp6fj9XqpqKggJSWFtLQ0ampqqKurA+gJ4BdffJFnnnmGhoaGId9HqK9Qo80dD1v/xtrjE6t1y+hmyxGw0+mkuroaj8fDqlWrKC4uxu12U15ejsvl6jkBV19fz86dO5k5cyaXX345mzZtoqysjJ/+9KeGfwMRkcE5gjE0ZFixYgXbtm3jlVde6XP/4sWL+cY3vsFtt90W5cpGjtMjyXu/bLaOoYrVumV0s+UIuD9NTU295n9FRGKZLeeA+9LR0YHf76esrKzfYy5kLlhExJSYCeDk5GS6u7tNlyEiEjYxNQUhIjKSKIBFRAxRAIuIGKIAFhExRAEsImKIAlhExBAFsIiIIQpgERFDFMAiIoYogEVEDFEAi4gYogAWETFEASwiYogCWETEEAWwiIghCmAREUMUwCIihiiARUQMUQCLiBiiABYRMUQBLCJiiAJYRMQQBbCIiCEKYBERQxTAIiKGKIBFRAxRAIuIGKIAFhExRAEsImKIAlhExBAFsIiIIQpgERFDFMAiIobYOoADgQAbNmwgMzOTxMREcnJy8Pl8ZGdnU1paaro8EZFhiTNdwEBKSkqora1l7dq15Obm0tjYSFFREQcOHGDNmjWmyxMRGRbbBnBVVRWVlZU0NDSQn58PQEFBAc3NzdTW1jJv3jzDFYqIDI9tA7iiooLCwsKe8D0tIyOD+Ph4vF4vAIsXL2bPnj2MHz8egMLCQn70ox9FvV4RkaGyZQC3tbXR0tLC6tWrz9vX2tqKx+MhISGhp+0nP/kJt91225Duw+FwDLvOkehbDwWB2Ht8YrVuGZmCwWBIx9nyJFxbWxsAqampvdo7Ozvx+XyafhCREcGWAex2uwHw+/292tevX097ezu5ubm92r/3ve8xZ84cbrnlFl555ZWQ7iMYDGrrY4vVxydW69Y2MrdQ2XIKIj09Ha/XS0VFBSkpKaSlpVFTU0NdXR1ArwD+zW9+w9SpU3E4HDzyyCNcf/317Nixg4suushU+SIiIbHlCNjpdFJdXY3H42HVqlUUFxfjdrspLy/H5XL1nIADmDZtWs+835e+9CXGjBnDm2++aap0EZGQ2XIEDJCVlUV9fX2vthUrVjB79mySkpIA+Oijj+jo6OiZsnj66ac5evQoGRkZUa9XRGSobBvAfWlqaiIvL6/n9ocffsiSJUs4efIkTqeTcePG8dhjjzFu3DiDVYqIhCZmArijowO/309ZWVlP26WXXsrLL79ssCoRkQsXMwGcnJxMd3e36TJERMLGlifhRERGAwWwiIghCmAREUMUwCIihiiARUQMUQCLiBiiABYRMUQBLCJiiAJYRMQQBbCIiCEKYBERQxTAIiKGKIBFRAxRAIuIGKIAFhExRAEsImKIAlhExBAFsIiIIQpgERFDFMAiIoYogEVEDFEAi4gYogAWETFEASwiYogCWETEEAWwiIghcaYLEPOOfgSv7IW9h860/ftfIHUCTLsY5kyB5ERj5YmMWArgUexQB9Rtg62t0B3ovW/3QWvbuAMefQnmTocbcmDiRWZqFRmJFMCj1MYd8IeX4UTX4Md2BeCl3fBqG3zhKliQHvn6REYDBfAoVLcN/toy9J/76BT8diMcOQ7XfTz8dYmMNjoJN8q84L+w8D1b3TZ4cWd46hEZzRTAo8jBo/CH5oGPuffL1jaY378Mh4+Fpy6R0crWARwIBNiwYQOZmZkkJiaSk5ODz+cjOzub0tJS0+XFnD9thVPd4enro1PwxNbw9DUcnSfhuTfP3N68C06GMK8tYge2ngMuKSmhtraWtWvXkpubS2NjI0VFRRw4cIA1a9aYLi+mHDkOr+4Nb59bWmFprrklas1vQ9Wm3i8qv91onVwsvgYyJ5mpSyRUtg3gqqoqKisraWhoID8/H4CCggKam5upra1l3rx5hiuMLdtaIRAMb5/dAavfRVnh7TcU29vhv1+Avn6lzlNwfz2suR4umxj10kRCZtspiIqKCgoLC3vC97SMjAzi4+Pxer0AnDx5kjVr1pCZmcmcOXO45pprTJRre62HBj/mQux9PzL9DubJbf3vCwahuxuefj169YhcCFuOgNva2mhpaWH16tXn7WttbcXj8ZCQkADAnXfeydGjR9m+fTsul4v29vZolxsT9n8QmX7bj0Sm34EcOAp7BnlBCQJb98AXr4YxtnyWi9g4gAFSU1N7tXd2duLz+ViyZAkAx48f5/7772fv3r24XC4AJk+eHNJ9OByOMFZsf1/5yXYmTs7u1TbQaof+9t3xcO/bTc3bcCy5cnjFDdHkzIUs/8ELgx7XHYSUS9M4dvidKFQlckYwGNp8ny2nINxuNwB+v79X+/r162lvbyc3NxeAHTt2MH78eO655x4WLFhAXl4ev/vd76JebyzoOvlRRPrtPhWZfgfS2XEwpOMCgS5OHD8S2WJEhsGWI+D09HS8Xi8VFRWkpKSQlpZGTU0NdXV1AD0B3NXVxb59+5g8eTKbN2/m7bffZuHChWRmZjJ37twB7yPUV6iR4r+ehy17eredO5qFMyPfvvb15ebrruaRH0T3sQwGYcOT8M7hvk/CATiAudPjOPWRFiuLfdlyBOx0Oqmursbj8bBq1SqKi4txu92Ul5fjcrl6TsBNmzYNgK9+9asAXH755SxatIjNmzcbq92upl0cmX6npkSm34E4HFA4Z+DwdTjgM55oViUydLYMYICsrCzq6+s5duwYra2trFu3jldffZXZs2eTlJQEWFMVhYWFPPHEEwAcOnSIzZs3k5OTY7J0W8qZagVTODkd4J0a5k5DNGeqdYLN+fdfyuGwNoB4F5TkR+5FRyRcbDkF0Z+mpiby8vJ6td13332UlJTwz//8zwSDQb773e+ed4xASjLMToPX9oWvT+9UGD82fP0N1ScywJMGm3Za1zJ2OGDmpTA/HcaOMVeXSKhiJoA7Ojrw+/2UlZX1ap8+fTpPPfWUoapiy01z4c126/KSwxXvghuvHH4/wzUuSVdmk9jlCI62s1GjXP0b8MdBLsgTiluvgk9lD36ciPTPtnPAEhmLr4Brhhmcn54NnzTw8WORkUYj4FEoGISG7dbVzIYyHRHngpuutAJ8lH2ORSQiFMCj2P4P4E9b4PV9/S/pAmv1hGcK3DIXLhkXrepERj4FsHCow7puwt73rVA+1Q1jXNa3Ik9Nsb6QU1/GKRJ+CmAREUN0Ek5ExBAFsIiIIQpgERFDFMAiIoYogEVEDFEAi4gYogAWETFEASwiYogCWETEEAWwiIghCmAREUMUwCIihiiARUQMUQCLiBiiABYRMUQBLCJiiAJYRMQQBbCIiCEKYBERQxTAIiKGKIBFRAxRAIuIGPL/AdggpWxyTkfAAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circuit.draw(output='mpl')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:58.238179Z", "start_time": "2019-12-10T21:47:57.904473Z" } }, "outputs": [ { "data": { "image/png": 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FFYXnravRx6sW1d+vq63SR288IZ+3zsKqAABO4PN59cmqX6u2uqFv48erfq26mjAJzwKJSe1NH5uQ1C6KlZyfupoqffTmr+vv19ZU6uNVv5bPZ6LPd4yZfaxdLrc8iclRrsa8xOSOcoX5SMTn81n++5Fg6XdvQUpKiiSpoKBAM2fOrN++cOFClZSUaMyYMRf8PaK1FKFxFx2PW/K4pH7DpumFDbW2nvbSeA6+JHkSkjT3Vx82W4wLAEBrNZ6D7zf7Z+uaLca1g4pq6T9eD3/tG49bOnxgj5ITY1OXWY3n4EtSQmKy5j/5abPFuHZw/Kz0+Mrwx7VrI1WUnZLb/CB2VL3wnrGWMVSUdLlc+u2vHtUVyx6NXWEBbBk5U1NTlZWVpdzcXL300ktau3atsrOz9cILL0hSREJ+NAS2yZw/Tbr/uvDtNa0WGPAlc+01AQAIJ3CRrV+49ppWadtGGjUw/Jz8MYNk+4AvmWuvaZWUjlJ6z9CPtSRNTJdtAr5kNFQJN1aclGCsa7SSLUO+2+3WsmXLlJmZqezsbM2ZM0cpKSlasGCBPB5P/aJbOwnWBz+jV/PFuHYL+oFddPwCF+MS9AEArRWsi46fmT76Vpk+3Aj7waY/u1xSuyTphuGxryuUwC46foGLce0W9L892mgCEvSxltS1vTT10piXFdLQ3lJm39DH3DzG6ChlJVuGfEnKyMjQ+vXrVV5erqKiIuXk5Gjnzp0aNmyY2rZta3V5TbQU8P3sGvSDtcn0C9Z1h6APADArXJvMwK47dgr6KR2lf71e6te1+b7+XY19Vl7QMlCwNpl+wbru2Cno9+8mLbhO6t6x+b60ntK/XS91sM90fEnGpwpzrpYmpjX/hKF9kvH4T0izprbGbNsnP5jLLrtM48eP14svvli/7dFHH9WLL76oY8eOqUOHDmrbtq3y8vI0ZMiQmNQULuA3Zqfe8y3V8uDLxv6n7jL+DHfBLAAAAoUK+I1fZ8JdMMsOikqN10yXjEG7/pdYXVFTLfXBD3w9D3fBLKv5fMYbveKTRnBO7yX16mx1VeGdrTSuditJ9042ft8TbNIS1rYj+YHKyspUUFDQpLOOJOXk5Ki4uFhVVVUqLS1VcXFxzAK+JJ2rkgq+NtcHv/GI/v5j0pmKmJXZzBcl5t5sBI7oF5TEtk4AQPz58oi5PviBffT3HI5pmaYMuMS44urVQ+0X8CVp92FzffADR/T3HoltneG4XNKQntKUS43HOh4CviR1bPQpQ1Z/+wR8yabddYLp0KGD6urs186xQ7Lxbri0zPhYKRx/0G/XxphnZpXrLzc+GhsxIPynCf6g/+lBafSgmJQHAIhjUy6VOreVMvuFv9CVP+hf1lcaPTA29TnJTSOlPl2lUQPCX+jKH/Q/O2T9olBEX9yEfDvr2r51gX1QSvRqMcvlal1gT/AQ8AEA5o1sRWB3u41uNWg9l6t1j12ih4B/sYib6ToAAAAAzCHkAwAAAA5DyAcAAAAchpAPAAAAOAwhHwAAAHAYQj4AAADgMIR8AAAAwGEI+QAAAIDDEPIBAAAAhyHkAwAAAA5DyAcAAAAchpAPAAAAOAwhHwAAAHAYQj4AAADgMIR8AAAAwGEI+QAAAIDDEPIBAAAAhyHkAwAAAA5DyAcAAAAchpAPAAAAOAwhHwAAAHAYQj4AAADgMIR8AAAAwGEI+QAAAIDDEPIBAAAAh0mwugAAAAAgntTWSV+VSgdLG7b99SOpTxdpYIrUq7NlpdUj5AMAAAAmlFdJeZ9LW/ZKZyqb7sv7vOHv/btJVw+Vxg6W3K7Y1uhHyAcAAADC2FUs/WWrdLYy/LEHT0ivbDbeDMyeIHXvGP36AjEnHwAAAAhh3W7pf/LMBfzGCo9JT66WDhyPTl2hEPIvUj6f9PEBqc5r7vjaOuN4q3192nh3bFbB19LpiujVAwDRdrZS+rzE/PGHT0qHTkavHrO2fyXV1Jk71uuVPjpgvDZZ6fhZaf8x88cXHpVKy6JXjxk+n/HYeU2+ntfUSduLolqS42zeK6385Py/vqJGen6ddORM5Goyg5B/kXpnl/TSRulPG8MH/do66Y8fGMev/Sw29QVz/Kz09Brp2bXmgv7uQ9Lz66Wn35XOVUW/PgCItMoa6Zk10h82SDsPhj/+8EnpmbXS79ZKR2McKBrL+1xa8oH04nvhg77Xa0xr+NNGadWO2NQXzOmKb15j1hnhPZx9R6Tn1hlfc8bCwaQ3thuP3dIt4YN+TZ20OE9a8r70/hcxKS/uHT8rrcgPfcxTdxm3UCpqjN9zs2/GIsHWId/r9WrRokVKT09XcnKyRowYoby8PA0dOlTz5s2zury4NrS3lJxovJsPFfT9AX9nsdSujZTRO7Z1NtalnTQ4RTpXHT7o7z4kLX7P+Hdd2ltq2yZ2dQJApCQlSJf1MZ7LlnwQOuj7A355lTTwEqlb+9jVGSi9p9Q+Sdp9OHTQ9wf8/ANSm2/+rVbpmCSl9ZCqa6Xn1ocO+vuOGINI1XVSWk+pQ1Ls6gw0rI/x2H24P3TQ9wf8z0uMn01az9jWGa9ezzf/iVQ4Xx03PhWIFVuH/Llz5yonJ0fz58/X6tWrNWvWLM2ePVuFhYUaM2aM1eXFtUEp0n3XhA76gQE/+1pjtbhVEjzSPVdJw/uFDvqNA/7VGdItYyWXRSvbAeBCuFzSt0dJ0y4LHfQbB/xhfaR7JxvPmVbp01VacG3ooB8Y8O+bJqX2sKRcSZLbLd05QRo7KHTQbxzwx6VKs680vtYqQ3pK86eGDvqBAf+B66TeXayoNr4cOSPtORzZc773Reympdk25C9dulRLlizRypUr9fDDD2vatGl65JFHNGHCBNXW1mr06NFWlxj3ggV9P7sFfL9wQZ+AD8BpwgV9uwV8v3BB304B3y9c0LdbwPcLFvT9CPjn78PCyJ/zyBmjv34s2OBXM7jc3FxNnz5dU6ZMabI9LS1NiYmJysrK0smTJ3XTTTcpIyNDI0aM0PXXX6+9e2P4OYgDBAZ9PzsGfL+Wgj4BH4BTtRT07Rrw/YIFfT+7BXy/loK+XQO+X2DQ9yPgn7+votQRJ1rnDWSjX88GxcXF2rVrl26//fZm+4qKipSZmamkpCS5XC49+OCDKigo0I4dO3TTTTdpzpw5FlQc3xoHfT+7Bny/wKD/9LtGaysCPgCnCgz6L74v/fYd+wZ8v8Cg72fHgO8XGPSfXWfc7Brw/RoHfT8C/vmLVpeqWHW/cvl8Vjesam7Lli2aMGGC3nzzTc2cObN+e0VFhYYMGaIZM2Zo8eLFzb4uPz9fN998s4qLi8N+DxcJsJne6RM16z+NOTt1NVV6LecqHS0Ms6TcYm5Pom59ZIP6ZEyUJH2x+VW99cxsi6sCgOj61rwlGjb5HknSkcJ8LfvFJNXVVltcVWgpA0bou49tUUJisiTp9V9eo+I96y2uKjSXy63v/HiVBmbdIEnav32V/vHrf5LPF8MWKeehf+a1uuXf10iSaqsr9Zf/vELHD+60uKr484M/1sjtaXjHFK6DTksefLnp/b0frtCbv731vOsyG91t+D5USklJkSQVFBQ02b5w4UKVlJS0uOj2qaee0s033xzt8hzJ7UnU6Bsfrr/vSUzSmBt/LJfbhsNCjfTPvFY9Bjf8Pgwcfr26DxplYUUAEF0p/Ydr8KgbG+4PyNLArOkWVhSey+XW6Jk/qg/4kjT6xh/Jk2hhWxoTemdMUp+Mq+rv9710snqnT7CwovA8iUkaPfNH9fcT2iRr1MwfyeWyZeSzNW9dbXTO643OeQPZciTf6/Vq1KhRKikp0aJFi9S3b18tX75cq1atUlFRkbZs2aIrr7yyydc89thjWr16tdatW6d27dpZVHl8Clxke/MYoydsZY00coB09yTJY8PnhsZz8Buz8zQjALgQjefgN+ZxS9+/Shre35q6QgnsonPbWOnvnzRMM5ozWUq04XhS4zn4jdl5mlHgItvvjJKW5xtTjsYNlmaPt+c0I7v6rzeMi3CG4x/hDxyxb8l1mdJNI8+7LNNs+aN2u91atmyZMjMzlZ2drTlz5iglJUULFiyQx+NRVlZWk+Mff/xxvfHGG3rrrbcI+K0UrIvOFanh22taLXCRrV+49poAEK8CF9n6hWuvaaVgbTKvGBK+vabVAhfZ+oVrr2mlYF10rhgSvr0mWtYvSoOFsRqEtGXIl6SMjAytX79e5eXlKioqUk5Ojnbu3Klhw4apbdu29cc99thj+sc//qF3331XXbp0sa7gOBSqTaaZPvpWCdZFx89MH30AiDfBuuj4memjb4VQffDN9NG3SrAuOn5m+uhbIVSbTDN99BHc5X0jf85Ej3GxuFiwbcgPJj8/v8l8/M8++0w///nPVVpaqqlTp2rkyJEaOXKkdQXGETN98O0Y9MO1yTR7wSwAiBfh2mSavWBWLJm50JUdg364NplmL5gVS2b64BP0z8/w/lKntuGPa40xg6R2MVqKEjchv6ysTAUFBU0ugpWZmSmfz6e9e/dq+/bt9TeE9/dPzLXJDAz6b2yPaZlNHDljrg9+sKAfOH8VAOJBZY30u3Xh22QGC/qHY9SmL5i3dprrgx8Y9FdY2NDt1Dnp+Q3h22QGBv3n10unz8W62gavf2iuTWZg0H97VyyrjE8etzQjK/xxZiV6jPn4sZIQ/hB76NChg+rqbPJZngNcc5lxMYbbrwg/N8wf9FfkS1Mvi019wfToaNRdWRO+D74/6L+0Ubq0t/HkBwDxJjlR+qeR0qcHpTlXh+6D7w/6kuTzWdsT/eqh0hdfGws/wy1Q9Qf9pVtiG4ACdWknXX+5MaAUrg++P+jLJfXpInW2cDngdZlG3/U7J4T/mfuD/srtTdezoWXjhxiDnF+UXPi5vj1KSul44ecxy5bddRAbPl/rLhjV2uOjwf/bGliHf0V7YA9bO9QMABcq2HNZqOc9yfrnvnh8jWmpDru/xsTrYx0vyquMi26WmOi005KJ6dLt42L7uMfNdB1EXmt/0ezwhOByta4OO9QMABeqtc97dnjui8fXGCk+X2Pi9bGOF+2TpAXXnd+CWZekb2VKt8U44EtxNF0HAAAAsEKHZGMN48YCafWnxpq/cHp3kWZdIQ3uHvXygiLkAwAAAGG4XcZ6kyu/maf/6UGp+ISxaFsyRup7dZIGpEhXDDbWo1j5qQkhHwAAADCpTYJx4dArvrlQWnWt0dWqTYLRkccuCPkAAADAeWpj0zRto/cbAAAAACKBkA8AAAA4DCEfAAAAcBhCPgAAAOAwhHwAAADAYQj5AAAAgMMQ8gEAAACHIeQDAAAADkPIBwAAAByGkA8AAAA4DCEfAAAAcBhCPgAAAOAwhHwAAADAYQj5AAAAgMMQ8gEAAACHIeQDAAAADpNgdQF2tyJfOnTSmu/dt6t0y1hrvjcAAADiFyE/jEMnpX1Hra4CAAAAMI/pOgAAAIDDEPIBAAAAhyHkAwAAAA5DyAcAAAAchpAPAAAAOAwhHwAAAHAYQj7iitcn1XnNH19bF71aWqO1ddilbsBp4vX/Ymvq8HqNG1rPdx6vMT5f9OoBLgQhH3HD65P+slX600ZzT8JVNdLv1kpv7Yx+baHsPyb98h/SwRPmjs/fLz2xSjpdEd26gIvN2Urp129JW/aaO/7wSSn3H9K+I9GtK5w1n0n/vUaqrAl/rNcrvbJZenkzQb+1fD7pbx9Li/PMvamqqZP+J09a+QlBH/ZEyEfcKD0r7SiStheFD/pVNdLz66XCY9LmL6XyqtjVGWjjl9LJcunZteGDfv5+6eVN0pEz0s6DsakPuFjsPiSVnJJe3Ro+6B8+KT2zVjpRLr1fEJPygqqsMZ5DvjouPbsudND3B/z8A9LOYuno2ZiV6QinK4zn4N2HpRfeCx30a+qMNwOfl0jbCqUzDMrAhmwd8r1erxYtWqT09HQlJydrxIgRysvL09ChQzVv3jyrywtq+eNTte1vj5veDvO6d5Luu0ZKTgwd9BsH/M5tpQe+JbVPin29fndcKQ3vJ52rDh30/QHfJ2lmlnRVRkzLBBzvyiHSt0cZfw8V9P0Bv7xKGtZHumti7GoMlJwoPXCd1LV96KDfOOC3SZDumyb16hzzcuNal3bSgmuN14tQQb9xwG+fZPx8OreLfb1AOLYO+XPnzlVOTo7mz5+v1atXa9asWZo9e7YKCws1ZswYq8uDBQalhA76wQJ+947W1StJCR7pnqtCB/3AgH/9cEtKBRzvmmGhg35gwJ8zWUr0xL7Oxi7pEDroBwv4qT0sKzeu9ekaOugHC/i9u1hWLhCSbUP+0qVLtWTJEq1cuVIPP/ywpk2bpkceeUQTJkxQbW2tRo8ebXWJsEiwoO9nt4DvFyroE/CB2Gop6Nsx4PsFC/p+BPzIChb0/Qj4iCe2Dfm5ubmaPn26pkyZ0mR7WlqaEhMTlZWVJUm6+eablZWVpVGjRumKK67QmjVrrCgXMRYY9P3sGPD9ggX9t3cS8AErBAb9tz61b8D3Cwz6fgT8yAsM+n4EfMQTl89nvzXhxcXF6t+/vxYvXqx77723yb7Zs2fr888/1yeffCJJOnXqlLp06SJJ+uSTTzR16lSdOHFCHk/oZ2eXy2WqllsfWa9+l001Xfvyx6fq631b5UlsOgm8prJM42/5ua64+T9Mn6t4zwa9/stppo+/GPUacqVu/r9vK6mdMfn07Ilivf7LqTp9ZJ/FlbXM7UnUjB/8RWlj/7l+26Zl/6EP//5LC6sCLk6jZ/5IV9+5qP7+/u1v6s3f3qq6GgtX64fRMWWgbntkgzp1HyRJqq4s098XTtfhgo2hvxCtltJ/uG756Tq17ZgiSTp35phW5E5TafFnFleGi5nZ6G7Lkfzi4mJJUq9evZpsr6ioUF5eXpOpOv6AL0mnT5+Wy+Uy/Y+Pliu+84iyf3+qya1PxlWW1uRUpcW7dPpoYf3940U7dObYAesKMsFbV6N9H/2t/n5N9Tkd2LHKuoKAi1jRzndUXVlWf7/w43/YOuBLUlnpQR098HH9/bPHD+j4wU8trMi5Tn5doBOHP2+4f3iPTn39pYUVAeYlWF1AMCkpxjvmgoICzZw5s377woULVVJS0mzR7YIFC7R69WqdPn1ar7/+uhISwv+zzL4R+O93pX1HW1F8BE2ZMlXLH7fdBy220XiRbfskY3HU4JE36oUNtbp7kuSx5VvYpnPwJSmxTTv9y8KPlX2t1L+bpaUBF5XGc/D9rr33Of3h+ec0Ps26ukJpvMg20WNMWVS/y/Vffz2j7G+mMCIyGi+ybfvN49r30sn63TtVuneyMQUTsDNbxqDU1FRlZWUpNzdXL730ktauXavs7Gy98MILktQs5D/zzDMqLCzUihUr9OMf/1hlZWXBTgsHCeyi8+ANUva14dtrWi0w4Evm2msCiKzARbaNmemjb4XALjrZ1xjPfeHaa6L1Arvo/Ov10g++Fb69JmAntgz5brdby5YtU2ZmprKzszVnzhylpKRowYIF8ng89YtuA02ZMkVut1sbNzIv0claapMZrr2m1QK76PiFa68JILKCddHxM9NH3wottckM114TrddSm8xw7TUBu7HlwtuW3H333dqxY4c+/dSYe1hWVqbS0lINHDhQkrHw9pprrtGOHTs0YMCAiHxPK6frDOlhjByggZk++AeOS89980I3coBsMXUnWJvMB1829j11l/FC8ccPjKtUtmsjpu4AUdJSm8zG/x/X7ZZWGr0ddMeVsnzqjpk++KVl0tNrjKtrD0wRU3fOk5k++IG/Q0zdgV3ZciS/Jfn5+U2m6pSXl+u73/2uLr/8co0cOVLZ2dn685//HLGAD3sxe6Eru43om+mDb+aCWQAujNk++OEumBVLZi90xYj+hTN7oStG9BEv4ibkl5WVqaCgoElnnZ49e2rLli3atWuXtm/fri1btujGG2+0sEpEU0WNdLrCXB/8xkH/RLnx5G2VI6fN9cFvHPQra4wROQCRc+qc8X/LTB/8xkH/yJnY1BdMjdcYpTfTB79x0D9zTjpn7yZBtlNVY/yOmOmD3zjonyyXqmpjViZgWlxN17EC03Xs5WS5VOs1f6Gr4hNStw7GFBir+HzS3qNSes+m2xtPD2istk4qKuWiNkA07D8m9evWPOC39P/xyyNSWg/J5KVVoqKyRjp6RhpwibnjS7/pPXFJh+jV5FRnK6WySvMXuio5JXVMljokR7Mq4PzYsoUm0JKu7Vt3fD8bzGt3uZoH/FASPAR8IFoGd2/d8a35vxstyYnmA75EuL8QHZONm1lc9RZ2FjfTdQAAAACYQ8gHAAAAHIaQDwAAADgMIR8AAABwGEI+AAAA4DCEfAAAAMBhaKEZRt+uF+f3BgAAQPwi5Idxy1irKwAAAABah+k6AAAAgMMQ8gEAAACHIeQDAAAADkPIBwAAAByGkA8AAAA4DCEfAAAAcBhCPgAAAOAwhHwAAADAYQj5AAAAgMMQ8gEAAACHIeQDAAAADkPIBwAAAByGkA8AAAA4DCEfAAAAcBhCPgAAAOAwhHwAAADAYQj5AAAAgMMQ8gEAAACHIeQDAAAADkPIBwAAAByGkA8AAAA4DCEfiLLaOmn9HqnOa+74skppY0F0azJj9yHp4Anzx2/ZK52uiF49sJezldKmL80ff/iktPNg9Ooxa/Ne6YzJ31Ov1/i/W1MX3ZoAIBoSrC4AcLpXt0j5B6Svjkt3T5I8Id5al1VKz6yVSk5JPklXZcSoyAAHjkuL35OSEqTsa6X+3UIfv263tPITqUcn6f/MlBI8sakT1qjzSr/75ve0rEq6/vLQxx8+afxeV1RLC66ThvSISZnNbNkn/WWr8Xv6wHVSp7YtH+v1Sq9sNv7vHjguzbk6ZmUCQETYeiTf6/Vq0aJFSk9PV3JyskaMGKG8vDwNHTpU8+bNs7o8wJSrhkrJidL2IulPG1se0W8c8Ht0krL6x7TMJvp1lYb1kc5VS8+uDT2i7w/4knTNZQT8i4HHbfysXZJW7ZDe2dXysf6AX14lXdpbGnhJzMps5vK+Uu8u0tEz0tNrWh7Rbxzw2yRIU4bGskoAiAxbh/y5c+cqJydH8+fP1+rVqzVr1izNnj1bhYWFGjNmjNXlAaYMSpHuuyZ00A8M+OFGGaMtwSPdc5U0vF/ooN844N9xpTQ+LbZ1wjrjUqU7J4QO+o0D/rA+0r2TrX0T2CFZWnBt6KAfGPDvmyalWvTJAwBcCJfP5/NZXUQwS5cu1Z133qkNGzZoypQp9dtvvfVWrVixQtu2bdO4ceMsrBBonQPHpefWSZU10sgBRuCXpMdvtVfAb6y2TvrjB9LOYqldm6ZTdwj4kKQPC41Q7JM0c0TD1B27BfzGgr2p/tkKY9/YQQR8AM5g25H83NxcTZ8+vUnAl6S0tDQlJiYqKyuryfbf//73crlcWr58eSzLBEwLHNH3s2vAl1oe0Sfgwy/YiL6dA74UfETfj4APwClsGfKLi4u1a9cu3X777c32FRUVKTMzU0lJSfXbvvzyS7344osaP358LMsEWq1x0Peza8D3Cwz6/+8dAj6aCgz6v3nbvgHfLzDo+xHwATiFLbvrFBcXS5J69erVZHtFRYXy8vI0Y8aM+m21tbW699579eyzz+rBBx80/T1cLldEagXOx4Dh1+uf/+/bkqSqc2eU+4PL9MjJwxZXFZrbk6jZj3+klP7DJUlbVzym337v59YWBVsZ9+1/18RZuaqpk06UfKH7v5+l+bXVVpcVUrtOPXT3E58ruX1XSdLyX31bT9zxD4urAoCWmZ1pb8uR/JSUFElSQUHTZuELFy5USUlJk0W3OTk5mjFjhkaOHBnLEoHz1rZjiq6e/UT9/aR2nTT5e7+Ry23D4c5GRt7wr/UBX5JGXP8DdR80ysKKYCcp/Ydr1IyH6u936z1Uo2c+bGFF4blcbl1156L6gC9JV93xK7Xr3NPCqgAgMmy58Nbr9WrUqFEqKSnRokWL1LdvXy1fvlyrVq1SUVGRtmzZoiuvvFJbt27Vww8/rA0bNsjj8Wjq1Kl64IEHdNttt1n9TwCCClzw953RRrcd/2LccH30rdJ4Dn5jgYtxcXFqPAffz6Xmi3HtJLCLzv+aJL25w/7T5wDALBvGCcntdmvZsmXKzMxUdna25syZo5SUFC1YsEAej6d+0e369eu1b98+DRkyRIMGDdKWLVt0//3369e//rXF/wKguWAdPTL7hm+vabXARbZ+4dpr4uIQuMjWL1x7TSsFa5N5eb/w7TUBIJ7YciS/JXfffbd27NihTz/9NOh+RvJhV+H64Ae217TLiH6wLjoPvmzcX3RHy+01cXEI1kXn4VeNfU/d1XJ7TSuF64Nvt2tWAMD5skGMMC8/P5+LYCHumAkNZi6YFWvh2mSavWAWnMlMm0wzF8yKJTMXujJzwSwAiAdxE/LLyspUUFCg0aNHt3jMhg0bGMWH7fxlq7lRwcCgv2FPTMtsYt9Rc20yA4P+4jzjAlpwtjqvtPg9c20yA4P+FyUxLbWJ9wvM9cEPDPqvbI5llQAQGbZsoRlMhw4dVFdHekD8uWWs5PVJ370y/Mf+/qC/YY80+dLY1BdManfpW5nSJR3C98H3B/2lW6SJafbsiY7I8ril702U3vtCumtC+J/5uFTjz8OnpIxeIQ+NqknpUlGp8We4Pvj+oL90i/F/GADiTVzNyQdgPf+c/KfusrYO2BO/HwBgD3EzXQcAAACAOYR8AAAAwGEI+QAAAIDDEPIBAAAAhyHkAwAAAA5DyAcAAAAchpAPAAAAOAwhHwAAAHAYQj4AAADgMIR8AAAAwGEI+QAAAIDDEPIBAAAAhyHkAwAAAA5DyAcAAAAchpAPAAAAOAwhHwAAAHAYQj4AAADgMIR8AAAAwGEI+QAAAIDDEPIBAAAAhyHkAwAAAA5DyAcAAAAchpAPAAAAOAwhHwAAAHAYQj4AAADgMAlWFwAAaKqmTjpyWqqoltxuKaWD1Lmd1VUBAOIJIR8AbKCyRvpov7S1UCo+IXl9Tfd3SpaG9ZWuypD6dbOmRgBA/CDkA4CFfD7powPSinzpXHXLx52plLbsM24j+ku3XSF1TI5ZmQCAOEPIBwCL1NZJS7cYIb81dhyU9h6V/mWKNLh7VEoDAMQ5Ft4CCKqqRqrzmj8+1Cg0mqvzSi9tbH3A9yuvkp5dJx04HtGyWqU1P3Ov15iSBACIDUI+gGYqa6Tn1kl/2mgu6JeWSU+skt76NPq1OcX6PdKnB0Mf89Rdxq0l1bXSkveNBbqxtuYz6VdvSMfOhj/W65Ve2Sz9bi1vBgEgVgj5AJo5flYqOS1tLwof9EvLpKfXSCfLpT0lxhQUu6mskc5WtO6TiWg6ckZaHaE3RKfOSSs/icy5zKrzSrsPSacrpKffDR30/QE//4D09WnjdwsAEH22Dvler1eLFi1Senq6kpOTNWLECOXl5Wno0KGaN2+e1eUBjtWvm3TfNVJyYuig3zjgD0yRsq+REjyxr7clew5Lz6yRfvKa9OgK6ZHl0l8/MsKplTbsiewbjq37pNPnIne+cDxuaf40KbV76KDfOOC3SZDumyYNuCR2dQLAxczWIX/u3LnKycnR/PnztXr1as2aNUuzZ89WYWGhxowZY3V5gKMNSgkd9IMF/ORE6+oNlPe59Px6Y4GqX2WNsf3J1Ub9VqiskfL3R/acXp+0eV9kzxlOUmLooB8s4Kf2iG2NAHAxs23IX7p0qZYsWaKVK1fq4Ycf1rRp0/TII49owoQJqq2t1ejRo60uEXC8YEHfz84Bv/iEMWIvGS0qA52pkP68KbY1+e0/ZlzsKtK+/Dry5wwnWND3I+ADgLVsG/Jzc3M1ffp0TZkypcn2tLQ0JSYmKisrS5I0depUDR48WCNHjtTIkSP1k5/8xIpyAccKDPp+dg34kvRBgeQKsd8nI2wfOhmrihoUn4jeeQMvoBULgUHfj4APANayZZ/84uJi7dq1Sz/84Q+b7SsqKlJmZqaSkpLqtz3xxBO67bbbWvU9XK5QEQBAoF5DrtQ//+QdtWnbSZJU8uVmPfu/b9BDFfZbSfn93xSqc/fBYY+7afa/afvb/y8GFTWY9v1nlHXd/U22heqgE2r/gy83/L2qVmrboYuqz52+wArPT2JSe33nx6vU99LJkqTqqnIt+8UNeqJgY5ivBAC0hi/YR9RB2HIkv7i4WJLUq1evJtsrKiqUl5fHVB3AAuWnv1ZNZXnD/VOHVVMVw9WereB2m1v96zJ5XGRFb4DBFcVzh1NbXaGzJw413K8qV/lpC+YQAQAk2XQkPyUlRZJUUFCgmTNn1m9fuHChSkpKmi26feSRR/TYY48pNTVVOTk59VN5QjH7LghA00W2vTpLJ89JaeNu1QsbanX3JKPbip28+J70aXHw+fiNvfbik0rr+WRsivrG6k+lt3c23dZ4RL4x/wh+S/sbS3BL5WdPWvKzaLzINtEjde8oHVYP/dvv9uqBbxn3AQCxZcuQn5qaqqysLOXm5qpbt27q27evli9frlWrVklSk5D/0ksvqX///nK5XHr11Vd1ww03aO/evWrfvr1V5QOOEqyLztenjYtl+efo2y3oT8qQdoS40JTLZQTPIRbMFe/XNTrn7dPVmp9BsC46fbsanY0KjxmLcQn6ABB7NnpZbuB2u7Vs2TJlZmYqOztbc+bMUUpKihYsWCCPx9NkpH7AgAH18+vvuOMOtWnTRl988YVVpQOO0lKbzHDtNa2W3lO6KiP4PpfLGPX+3kTj77E2qLvkjsL3teINS0ttMsO11wQARJ8tQ74kZWRkaP369SovL1dRUZFycnK0c+dODRs2TG3btpUkVVZW6vjx4/Vfs3btWp09e1ZpaWlWlQ04Rrg++HYO+i6XdOtY6Z/HSF3aNd13aW/pwRusuyhTx2RpeP/In3d8jJ/2wvXBJ+gDgLVsOV2nJfn5+Ro/fnz9/TNnzmjGjBmqrq6W2+1Wp06dtHLlSnXq1MnCKoH4Z/ZCV/6gb8epOy6XNOVS6eoM6aGlxrb/vFnqaoOZfFMvlXYUhT/OrMv7ST1j+LRn9kJX/qDP1B0AiL24CfllZWUqKCjQ/fc3tJ7r0aOHPvroIwurApzJ7TJuZvrgNw76Hnc0e8ecH3ejNxx2CPiSNLi7dPVQ6f0IzCxMTpRuG3fh52kVl/G4mumD3zjonyyPzlQlAEBzLh9tZgAEceqcESDNXujqyBmpe4emodou/N1pwvWjj6WqWumZNVJR6fmfwyXp+1dLIwZErCzTvD7p2BmpZ2dzx1fVSOeq7fNGCwCczoYvxwDsoEu71l3JtmcnewZ8u0pKMEa4B6ac39d7XNL3JlkT8CVjRN5swJeMEX0CPgDEDi/JAGCR9knSD66Trr+8ddNY+naVHpohjRkUtdIAAHEububkA4ATJXikmSOksYOljV9K2/ZJFTXBj03tbrQGHTHAHoubAQD2RcgHABvo0clo+fmdUdLRs9KhE9KfNhn77r9W6tdNatfG2hoBAPGDsSAAsBG3W+rVWRozuGFbRi8CPgCgdQj5AAAAgMMQ8gEAAACHIeQDAAAADkPIBwAAAByGkA8AAAA4DCEfAAAAcBhCPgAAAOAwhHwAAADAYQj5AAAAgMMQ8gEAAACHIeQDAAAADkPIBwAAAByGkA8AAAA4DCEfAAAAcBhCPgAAAOAwhHwAAADAYQj5AAAAgMMQ8gEAAACHIeQDAAAADkPIBwAAAByGkA8AAAA4TILVBQBANBw9I312SDpY2rDt6TVSny7SoBTp8n5SG54BAQAOxUscAEc5cFxavUP64uvm+/YeMW7vfSG1bSNNSJOuv1xKTox9nQAARBMhH4Aj1HmlN3dI63dLPhPHV1RL63ZLn3wl3TVBSusZ9RIBAIgZ5uQDiHt1XunF943QbibgN3ayXHp2rbTzYFRKAwDAEoR8AHFv+YfSruLz//o6n7TkA6moNPyxAADEA0I+gLi2+5C0eW/oY566y7iFUueVXtks1dRFrjYAAKxi65Dv9Xq1aNEipaenKzk5WSNGjFBeXp6GDh2qefPmWV0eAIt5fdKK/Mid7+vT0saCyJ3vfJ06J729s+H+7kOS12tdPQCA+GPrhbdz587VihUr9Oijj2rMmDHatGmTZs+erWPHjumhhx6yujwAFvuiRDpeFtlzbvxSmnyp5HZF9rxm+HzSWzuld3YZf/f7/Qape0dp/jQppWPs6wIAxB/bhvylS5dqyZIl2rBhg6ZMmSJJmjZtmj7++GOtWLFCo0ePtrhCAFb76EDkz3nsrNFbf2BK5M8dzvo9TUfwGzteZvT5/z8zpXZJsa0LABB/bDtdJzc3V9OnT68P+H5paWlKTExUVlaWJKm6uloPPfSQ0tPTNXz4cE2ePNmKcgFYIFoLZQ+eiM55Q6muld7e1fJ+n8+YxrO1MHY1AQDily1H8ouLi7Vr1y798Ic/bLavqKhImZmZSkoyhrJ++tOf6uzZs/r888/l8XhUUlIS63IBWKDOKx07E51zl5yKznlD+eyQVFUT/rit+6Rpl0W/HgBAfLNtyJekXr16NdleUVGhvLw8zZgxQ5J07tw5Pf/88zp48KA8Ho8kqXfv3qa+h8tlwYRbABGTkNROCxaXN9kWroNOS/sffLnp/T8sflGzrrz3AqprvRHfekBT7/nvsMftLz4ml6tHDCoCANiRz2fuijC2nK6TkmJMhi0oaNrmYuHChSopKdGYMWMkSXv37lXnzp315JNP6oorrtD48eP12muvxbxeALHnra2WZP7JrjVqqysjfs5wKsqOhz3G5/Oq4mz44wAAsOVIfmpqqrKyspSbm6tu3bqpb9++Wr58uVatWiVJ9SG/trZWhw4dUu/evbVt2zYdOHBAEydOVHp6ukaNGhXye0QjGACIrV+ulI6dbfhULnBE3s8/gt/S/kA//0m21r2YfYHVtU5ljfSzFcbc/Ja4XG7dPeMyvfRjnr8AAKHZciTf7XZr2bJlyszMVHZ2tubMmaOUlBQtWLBAHo+nftHtgAEDJEn33HOPJGnQoEGaNGmStm3bZlntAGKnf7f4Om8oyYnSNSHm2rtcUodkaUJa7GoCAMQvW4Z8ScrIyND69etVXl6uoqIi5eTkaOfOnRo2bJjatm0ryZjWM336dL355puSpNLSUm3btk0jRoywsnQAMTJqYOTP2bW9NPCSyJ/XjOuHS5OHNtx3yQj3ktS5rbTgWiPoAwAQji2n67QkPz9f48ePb7Ltueee09y5c/WLX/xCPp9PP/nJT5odA8CZhvWVuraTTp6L3DknpUtui4Y/3C7plrFGDZv3Gr3xEz3S5f2kEf2lBI81dQEA4k/chPyysjIVFBTo/vvvb7J94MCBWrNmjUVVAbCSxy3dPEZ68f3InC+lg3T10PDHRVvPzsa/CwCA8+XysQIVQJz708YLv/qt2yUtuE4aQndKAIAD2HZOPgCYdcd4KaNX+ONa4pJ05wQCPgDAORjJB+AINXXSX/OlTXtb93Udk6XZ4435/QAAOAUhH4CjfFEirdohfVUa+rhEjzRusHTjSKl9UkxKAwAgZgj5ABzpYKm065Dx5/Eyqc4rtU2U+nSVBqVIIwdI7Qj3AACHIuQDAAAADsPCWwAAAMBhCPkAAACAwxDyAQAAAIch5AMAAAAOQ8gHAAAAHIaQDwAAADgMIR8AAABwGEI+AAAA4DCEfAAAAMBhCPkAAACAwxDyAQAAAIch5AMAAAAOQ8gHAAAAHIaQDwAAADgMIR8AAABwGEI+AAAA4DCEfAAAAMBhCPkAAACAwxDyAQAAAIch5AMAAAAOQ8gHAAAAHIaQDwAAADjM/w94Uf7+vguwNAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "basic_circ.draw(output='mpl')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:58.643611Z", "start_time": "2019-12-10T21:47:58.241545Z" } }, "outputs": [ { "data": { "image/png": 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5DKMC2E+9IX3qjHW1MQlMxAS0yXp0bl/YDjVgB3U42he2US57w9mrb7f2rW/ClducDkgfGvj6MdEKZzFfbHRg4ezVK87eGwRFoojp4hYREbmcKKBFREQMpIAWERExkAJaRETEQApoERERAymgRUREDKSAFhERMZACWkRExEAKaBEREQMpoEVERAykgBYRETGQAlpERMRACmgREREDKaBFREQMpIAWERExkAJaRETEQApoERERAymgRUREDKSAFhERMZACWkRExEAKaBEREQMpoEVERAykgBYRETGQAlpERMRACmgREREDRdldgIhIKNQ1wIFjcKgcjlWC2w2x0dC/BwyNhyu62l1h645WwMFj8NWJc8s2fw4De1p1d9C39mVD/9UickmpqIHcL2DbPqiqbXu9K+Ph+hEwZgg4HOGrrzUeD3x6CPK+hOKj57++fof1Z6cOMGEYTBkJ3TqGt0YJPwW0iFwyth+AVz6CqrP+191/zHp8uA/unAg9Ooe8vFadPAMvfwiff+1/3TNnIefvBx+zr4H0ofYfXEjo6By0iEQ8jwc27ITn3w8snJvafRgefQu+PuF/3WA7fAp+91Zg4dxU9Vn4y1Z44xPr3y6XJgX0ZcrjsVobDe7A1q9vsNa32+FTcOh44OsXHYZT1aGrJxBuD3x8IPAv0to6q7tTApf7JbxdeOE/X1kDT26GE1XBq8mfU2fgyU1w+iL2z02fw8bPgldTe9TUwa527KfllVD8TejquRQpoC9TbxdarY3/ft9/SNc3wJ/fs9bfZNOXAcCxCnhiIzy1KbCQ/vwreDoHnngHzvg4Fxlqr3xkfc6vFPgP6do6q+Znt0B+cXjqi3Rfn4A3dvhe5/EfWA9fKmvgpW3haZF6PPDXD/2HcyB1Z39qDYQLpwa3tZ8+swW27fW/fnml9bv7x83WADgJjNEB7Xa7WblyJYmJicTGxpKWlkZeXh4jRoxg4cKFdpcX0Ub0s0a0flLiO6S94byr1BqgktQvvHU21b2TNbDnzFn/If35V9aXR4MbruoHHTuEr86Wrh4IUU54r8h3SHvDufioNQDoyt7hrTNSrcmHhiCF6u7DsP1gcLbly6eH2t+t3Ra3B17OD29Xt8sJowZaf3/pQ98h7Q3nE1XQrwf06RaeGgNV3wA7S/4+sHCvdaBmCqMDesGCBWRlZbFo0SKys7OZO3cu8+bNo7i4mPT0dLvLi2hD4+EnN/oO6ZbhnHkTDOppT70AUS645zrri8FXSDcN5+uT4HvX2DuQZmR/WJDhO6RbhvN906B3F3vqjSQl5dZAr2Dasju42wvHexw6bk0pC6cbk+E7Y6y/txXSTcN5SDxk/v07xxQf7IWH1sFz78Kr261/x0PrrAOe+ga7qzN4FPfq1atZtWoVubm5ZGRkADB16lS2b9/OunXrGDt2rM0VRj5vSP9xsxXSTZkWzl7ekPbW9tSm5rWZFs5e3pB+Js8K6aYUzhcuf1/wt3nwmDXWoW+IWnrllbAvBOdiP9wX/l6XG5OtP9fvsMKtKdPD+f0iWPPR+cvdHti6xzr9cO8N4LTx+8PYFvTy5cuZPn16Yzh7DR8+nOjoaFJTUzlx4gS33XYbSUlJpKWlccstt7B3bwAnRKRRy5a0l4nh7NVWS9rUcPZq2ZL2UjhfuAMhOvcayvOkoWrp2nVut2VL2svkcK6tg9f8jFsoLIU9h8NTT1uMDOjS0lIKCwuZM2fOea+VlJSQkpJCTEwMDoeD+++/n6KiInbu3Mltt93G/Pnzbag4sjUNaS9Tw9mrZUg/8Q78V5654ezVNKS9FM4Xxu2GspOh2XbTq3hFyrYPn7avW7ZpSHuZGs4AO0rgbL3vdRxYXeB2cng85s2i27ZtG5MmTeLNN99k5syZjcurq6sZNmwYM2bM4Jlnnjnv5woKCpg1axalpaV+38Nh4re3zfolTmbur94HoKGulpezruOb4gKbq/LN6Ypm9rJc+idNBmD3By/x1h/m2VyVfwnpt/Ptpa8CcLamkheXjebUkRD0117ComI6seSZ5vOi/I14bsv9LzR//vmW53jnT/deYGW+3Tj/KUbd9JNmy4JV99M/6UVNZTvmIQbZpDmPMP72ZQCcPLKP1f8yhrPVFbbV05bJc3/NNd/+OQ6H7zbq0YOf8OKyMT7XuRCBxq6RLej4+HgAioqan6xbsWIFZWVlbQ4Qe/zxx5k1a1aoy7skOV3RjP3WA43PXdExpH/rf+Nwumysyr9BKTdxxZXn9ocho26h99Dg/0IFU3RMZ8bO+Fnj8w6xcYy59X77CopQngY/TaCL4I7YbdeFbNv+dIkfwlWTzx1pdO8zjMTx5/eCmqCu9ozfcPa43dTVhnFifCuMbEG73W7GjBlDWVkZK1euZMCAAaxdu5YNGzZQUlLCtm3bmDBhQrOfefjhh8nOzmbz5s106tTJpsojU8sBYbPSYV2BdSGC0YPh7mutaRWmaXrOuSmTu+ZbDgibkQZr86HeDdclWZdvVOdO4H61LrAL0XhbqC1bnG25bTTcnHLBZfmU+yW8+nFg67an7rgYyJptz/7TckBYSn/Y8Kn12p0TYOLw8Nfky9cnYMUG/+t9Z8y5gXB2MPBrF5xOJ2vWrCElJYXMzEzmz59PfHw8S5YsweVykZqa2mz9Rx55hDfeeIO33npL4dxOrY3WHp/gfwqW3VoOCPPyNwXLTq2N1p44zP8ULGnboF4h2m4ID+5Cte2BPc0I58wb4ZZR/qdg2al/D0jqa51nbo0D6/tvwrBwVnU+IwMaICkpiZycHKqqqigpKSErK4tdu3aRnJxMx47nbuPy8MMP8/rrr/POO+/QvXt3+wqOQL6mUgUyT9ourY3W9gpknrQdfE2lCmSetLQuZUDwt9mxQ2inKw3pZbV2gy0Un4U/vqZSBTJP2k4/uhb6dbf+3jKoO0TDwinQOQT/T+1hbEC3pqCgoNn5588++4x//dd/pby8nClTpjB69GhGjx5tX4ERJJB5ziaGtL+pVIFezCScApnnrJC+MGOHBn+E8ISE0N5zOcoV/C7fmCgYlxDcbfoTyDxnk0M6Lhbuv9W6k9ngJj0xt46CX9wGCVfYV5tXxAR0ZWUlRUVFzS5QkpKSgsfjYe/evXzyySeND/HvtR2BTaVqGdJvfBLWMps5cjqwec6thbSv+wKH2ovbAptK1TKkc78Mb52RKCYKbrk6eNvrGA1Tw3DOccpVwW2d3ZQS3qlMDW7rAkeBTKVqGdJFNs8tbqpDlHWaaen0c8tmpEI3Q86UGnslsZbi4uJoaDDg2muXiBtHWhc2mDPe/zkxb0ivK7BuFG+XK7pYddfU+Z/n7A3p59+3rsVtZ1fVjFQ4Xgk/us7/PGdvSG/8zP7zX5FiylXWta2DcQGQ711jHUiFWlws3DHO6sW6WIN6wk1hHsjkcsKssbD5C/jxFP8HB96BVl+fgOEGtEwjhZGjuCU8PJ72DSpp7/qh4N1bW9bhHeXacj6pCTVfSB2m1B0pTlXD79+GY5UXvo0bk+Hbo8P7uW/YeXG3yezRGf55mvWnHS6l/bqt7xA7RUwXtwRfe39RTPjFcjjaV4cJNUNkftaRpFtH+KdpVndrezkd8K208IczWL0rt48F1wW876Ce9oYzaL8OtYjp4hYR8aVbJ/jpNOvc/duF1qkQfwb1hLkT7Jsz73DA1JEwoi/8NT+w62nHRFlztG9MNvP6BBI8CmgRuWQ4nVZwXZsE2w9YNzw4dNy6MxFYreW+3a2pThOGWX+a0Krr3wOW3mrdPvPDfVZQf33SurMSQNdYa55zygBIv9K8a1tLaCigReSSExMFk4ZbDzh3fvG3d5rd6hzc69yUnwa3dUMHlzO0077EXPpvF5HLhsnh3JLLaV00RS5fEbS7ioiIXD4U0CIiIgZSQIuIiBhIAS0iImIgBbSIiIiBFNAiIiIGUkCLiIgYSAEtIiJiIAW0iIiIgRTQIiIiBlJAi4iIGEgBLSIiYiAFtIiIiIEU0CIiIgZSQIuIiBhIAS0iImKgKLsLMN26AvjqhD3vPaAHfO8ae95bRETspYD246sTsO8bu6sQEZHLjbq4RUREDKSAFhERMZC6uEUkYJU1UHXWOrLv1gk66BtEIpzHA6eqzz1vcIPLkKarfr1EpE1uD+w5DB/shf1Hm3+RORzQpytc1Q+uTYTeXe2rU6Q96htgZwl8tB9KyuHM2XOvPfhX6N8DUgfBxGEQF2tfnQpoEWlVSTms3gZlJ1t/3eOBw6esR+6XcM1Q+O410DkmnFWKtM/OElj7EVTUtP56vdva90vKIftTuCkZbrkaolzhrRMU0CLSgscDmz6HDTutFnSgCg7A7sNw7w1wZe+QlSdyQeob4K/58FFx4D/T4Ia3C6GwFH48BXp0Dll5rTKkp10kMG6P9UsTqPqG0NVyqXprF7zxSfvC2auiBp7cZHWHi5iiwQ1/fq994dzU1yfhP96Bk2eCWpZfCmiJGG4P/PVD+O/3Awvp2jorLN7aFfraLhWFpfA3P5/X4z+wHm2pa4Bnt0BVbXBrE7lQ7xTCrlLf6/jbr09UwZ/fBXc7GggXSwEtEaO8wjp/9EmJ/5CurYOnc6D4KHywx9yw8FxAKzVUztRaB0DBUFFjXYVPxG5fn7C6qYNh/zHYsjs42wqE0QHtdrtZuXIliYmJxMbGkpaWRl5eHiNGjGDhwoV2l9eqtY9MIf/VRwJeLoHr3RV+ciPERvsO6abh3K0j3DfNrIFLR07By/nw85dh6Yvwq3XWYJTKNgathMvWvW0PnLkQHx+Ao6eDt70Lcagc/rL13POs12Dz51BTZ19NEl5vF17Y6Zq2vPNZ+E6dGR3QCxYsICsri0WLFpGdnc3cuXOZN28excXFpKen212e2GBovO+Qbi2ce3exr96WvvgafrvBatV7Q+JUtdWt/NsNcKzCnrrcHti6J/jbfT8E2wzUx/vhd3+z/vQqr4T1O+Cxt4J7MCJmOl0Nnx4K7jaraq3vnnAwNqBXr17NqlWrWL9+PQ888ABTp05l2bJlTJo0ifr6esaOHWt3iWKT1kLay+Rwrqyxzs02uKG1A/rTNfDMFnu6vb85Dcergr/dL8uCv81AHDkNL3xgfZatfZzfnIYXPwh7WRJmRYeD23r2+vLr4G+zNcYG9PLly5k+fToZGRnNlg8fPpzo6GhSU1MBmDVrFqmpqYwZM4bx48ezceNGO8qVMGsZ0l6mhjPAtn3WAKq2vi88HmvOcbENI6BLj4dmu0dOW70a4fZ+ke8vZg9Wb8Y3NnfBS2gdCtF+HarttmTkPOjS0lIKCwtZunTpea+VlJSQkpJCTIx1UnHVqlV0794dgB07djBlyhSOHz+Oy+V7VrnD4QioltnLchg4ckq76s9/7dd8vGFls2V1NZUMvvrmdm0nLy+Xf75lart+5nLTd9gEZj34N2I6dQOg4ngpq349hX87ss/mys43e1kOA0bcgMPZ9nGxx+PmR//0G7a+vCyMlcG425cxeU7zMRK+RrT6ev3+F8793eOBfkOu4kRZGEfWAPc8uofufYb7Xe+WO/6Jne88EYaKxA7f+ukrDB/3vWbLgrFflx49g8Nx4ZOiPQF2kxkb0AB9+/Zttry6upq8vDxmzJjRuMwbzgCnTp3C4XAE/I8PlfG3L2P8rH9ptmztI1PsKeYSV15ayKlvirli6BgAjpXs5PTRA/YW1QZXVIzPcAbA48Hp6hCegppwOkN3mSRHCLfdFldUYJ+hM8D1JDKFat8L1z5tZEDHx8cDUFRUxMyZMxuXr1ixgrKysvMGiC1ZsoTs7GxOnTrFK6+8QlSU/39WoCH++3fsux90RsYU1j5i0DwcwzQdENY5xhpZeeXob/Fsbj13X2vOBe+9XtoGH+5ru4sbrF/8lVkPMOHFB8JWF8C7u+GVFtOimrYYmvK2MNp6vaXiPZ/RreOF13Yh/pQDX5T5P5//wn89ysj+j4anKAm7Fz+A/BYXJwnGft2zS0xYGoJGBnRCQgKpqaksX76cnj17MmDAANauXcuGDRsAzgvoP/zhDwDk5eWxdOlStmzZQlxcXNjrlvBpbbR2VS38cfO5c9KmhfS1idZ5aF9iomDMkPDU09SAHqHZbtdYwh7OYH3Wn/sYyOMAuneCEf3CVpLYYGDP8wM6WNsNB4O+vs5xOp2sWbOGlJQUMjMzmT9/PvHx8SxZsgSXy9U4QKyljIwMnE4n77//fquvy6WhralU/qZg2W1QL7g+qfXXvCMi5oy35xaOA3pCdAh67YbadE3ukQMgbXDrrzmw7sT1/YngDGwoikSoUF0TPlz7tZEtaICkpCRycnKaLbv77rtJTk6mY0frkLyyspLy8nKGDLGaHDt27GDfvn2MHDky7PV63fEvue1aLu3jb56zN6RNbUl/9xrrPsqbP29+i7tecfCdsdYt7uwQEwXpQ/238Ntr4rDgbi9QTgf86FrYEAfvFsHZ+nOv9esOs9IhqW+bPy6XiIE9rEfpieBt0+mA8QnB254vxgZ0awoKCpg4cWLj86qqKr7//e9TWVlJVFQUsbGx/OUvf2Hw4DYOnSWiBXoREpND2umAm1NgylXwwEvWsn+eZh3pBzixIGSuH+H/HHl7XNEVruofpI1dAJcTvj3GulXg3iNQWw/xXWBQT/s/awkPhwMyrrLmxAfL6MHW6ZFwiJiArqyspKioiMWLFzcu69OnD9u2bbOxKgmn6jrrqluBzHNuGtLHq6z5xyYEtFfTe8smXGFfHU0N6AFTR8LmLy5+Ww5gniFdyDHRkDLQ7irELtdcCR/tty5acrE6dbB6X8IlYgI6Li6OhgbdO/By1r0T3HezdUP1QC5CMjTeWr9nnHVeWvybkQZ7v7FuVt+WQEa53pqqe0KLGRwO62Dxsb9Zl/5si7/92nvQ2TWMgx4NalOI+Nejc/uuEDawp3XUK4GJdsGiqTC414Vv46ZkuPXq4NUkcrF6dIbFN134jAKnA344GUaFeYyIAlpEmukcY/U8TB15bnR5IOJiYP711nlfneMV0/TtBg/MhLR2hmzfbnD/rZB+ZWjq8iViurhFJHw6RMHtY62R3Vt2w/aDbd9ir3snmJxozT026baeIi11iYV/uN66ict7RfD5V20PiuzfHa5NskZsh2IKYiAU0CLSpoE94a5JMPsaa6pK6XH4n4+t1+ZNtEZE9+0G/q5gKmIKhwNG9rcelTXWjS++PmGN8nc5rdkHg3paUx/t7glSQIuIXzHRMOwK6+EN6Ak2zXEWCZa42HNhbSId94qIiBhIAS0iImIgdXH7EaqbCJj+3iIiYi8FtB/fu8buCkRE5HKkLm4REREDKaBFREQMpIAWERExkAJaRETEQApoERERAymgRUREDKSAFhERMZACWkRExEAKaBEREQMpoEVERAykgBYRETGQAlpERMRACmgREREDKaBFREQMpIAWERExkAJaRETEQApoERERA0XZXYDI5aSmDr4sg0Pl55atehf6d4fB8ZDYB1w6bBYRFNAiYXHyDLxdCAX74Wx989c+KbEeAN06wuREmDoSOui3U+Sypq8AkRDLL4Z1BVbr2Z9T1ZD9qRXkd02CK3uHvj4RMZM600RCaMNOePGDwMK5qaMV8MRG2HUoNHWJiPkU0Jcptwdyvzi/u7UttXWQ+6X1cxKYLbutbu0L1eCGVe9B8TfBq0lEIocC+jL1xg54dTv8Z67/kK6tg6dz4NWP4a1Pw1JexDtyCtZv973O4z+wHr40uOHFbYEfSInIpcPogHa73axcuZLExERiY2NJS0sjLy+PESNGsHDhQrvLi2gThkHXWNhzxHdIe8O5+Kg1gGlcQljLjFjrPoZ6d3C2dawCNn8RnG1djLoG69y4V/E34FGPikjIGB3QCxYsICsri0WLFpGdnc3cuXOZN28excXFpKen211eROvTDZbc7DukW4bzfdOgdxdbyo0oR07D7rLgbnPrHqs1bZdPDsJDr8Bftp5b9h/vwMps6wBCRILP2IBevXo1q1atYv369TzwwANMnTqVZcuWMWnSJOrr6xk7dqzdJUY8XyGtcL5wH+/3v057na6GosPB324gPiu1zoVXtzLQ7euT8Pt3oKIm7GWJXPKMDejly5czffp0MjIymi0fPnw40dHRpKamNlv+pz/9CYfDwdq1a8NZZsRrLaQrqhXOF+Nguf91TNquLx4PvLYDHD5eP1UN7xWFtSyRy4KRAV1aWkphYSFz5sw577WSkhJSUlKIiYlpXLZnzx6ee+45Jk6cGM4yLxktQ/rXryucL0bZyRBt90RotuvLwXL45jT4O9W8dU9YyhG5rBh5oZLS0lIA+vbt22x5dXU1eXl5zJgxo3FZfX099957L0899RT3339/wO/hcLTVJrh89R4yhrt+vZ2aOqivq+GJn1/Dv5V+ZndZEecn/3mKmI5dG5/7G6nd1uv3v9D8+WtvvsW9GTNaXzlEho+bzbd+6r9XqqIGHE6nRo2JBMAT4O+JkS3o+Ph4AIqKmvebrVixgrKysmYDxLKyspgxYwajR48OZ4mXnOiYzmTc/Xjj86joWKbc/e9EdehoX1ERyl1/NqK268vZ6lMBrVdXW6VwFgkyI1vQCQkJpKamsnz5cnr27MmAAQNYu3YtGzZsAGgM6A8//JDNmzeTm5vb7vcI9AjmctB0QJhX11gYlHITj795hh9P0XWh2+Pxv8GBY+eet2wJN673A9+vt7TgB99h/aPh3W/rG+BX/wNVtW2v4wCuT+7MH/Q7JRJURragnU4na9asISUlhczMTObPn098fDxLlizB5XI1DhDLyclh3759DBs2jKFDh7Jt2zYWL17Mo48+avO/IHK0HK3t5W8KlrRtUM/I2q4vUS7rxh1tcQBOJ2RcFbaSRC4bDk8ENSXvvvtudu7cyaeftn45qylTpnDfffdxxx13hLmyyNTaVKpfr7dee/wH1tWw/rARTtdYt0FUSzowe45Yn5s/7WlBR7vg4e9Bpw4XV9uFcHusm328V2QFctMvjCgnzL8eUgaGvy6RS52RLei2FBQU6AIlQRLIPOdALmYi5xt+BfTp6n+99kgfak84AzgdcMc4+Nl060pyg3rC0HiYmQoPzVI4i4RKxLSHKisrKSoqYvHixW2ucyHnoi9X63cENpXKG9J/2GiF9Js74bs6RvLJ4YDbx8KfcoOzvZgouHVUcLZ1MQb3sm6BKSLhETEBHRcXR0NDg91lXDJmpsHJMzAr3f88Z29Iv/6JGUERCZIHwPgE617QF2tWOvTofPHbEZHIElHnoCX0vOdD/c3dFf/qGqzTAhdzic4bk+Hbo61WuYhcXiLqHLRIJIl2WQPrxl/AHcBcTqubXOEscvmKmC5ukUgU7bLO26YNhte2W5fN9CexD3zvGujXPeTliYjBFNAiYZAyAJL7w94jsLMEDh2HbyqsC4HEREH/Htbo6HEJ0Leb3dWKiAkU0CJh4nBAYl/rISLij85Bi4iIGEgBLSIiYiAFtIiIiIEU0CIiIgZSQIuIiBhIAS0iImIgBbSIiIiBFNAiIiIGUkCLiIgYSAEtIiJiIAW0iIiIgRTQIiIiBlJAi4iIGEgBLSIiYiAFtIiIiIEU0CIiIgZSQIuIiBhIAS0iImIgBbSIiIiBFNAiIiIGUkCLiIgYSAEtIiJiIAW0iIiIgRTQIiIiBlJAi4iIGEgBHQRuD9TUBb5+bR00uENXT6DOnA3t+iIicuEU0BfJ7YGXtsETG6Gq1v/6tXXwdA48/569Ib3/KDzyGmw/ENj6HxVb65eUh7QsERH5OwX0RTpTC8VHofQ4PLXZd0h7w7n4KBwsh4qa8NXZ0p4jVov4L1v9h/RHxfDiB9b6+74JS3kiIpc9owPa7XazcuVKEhMTiY2NJS0tjby8PEaMGMHChQvtLg+AuFi472aI7+I7pJuGc/dOsORm60+7TEuBW662egB8hbQ3nD3AzDSYOjKcVYqIXL6MDugFCxaQlZXFokWLyM7OZu7cucybN4/i4mLS09PtLq9R906+Q7q1cO7dxb56ARwOmJHqO6RbhvMtV9tRqYjI5cnh8Xg8dhfRmtWrV3PXXXeRm5tLRkZG4/LZs2ezbt068vPzGTdunI0Vnu/kGetc9LEKGNgTMm+EKKd54dyUxwPZn8LbheB0WGEN8INJCmcRETsZG9CjRo1i4MCBZGdnN1v+4IMP8thjj1FRUUFMTAxTpkzh4MGDdOvWDYDp06fzm9/8xo6SgeYhPaCHFdAHy80MZ6+mIe3lQOEsImKnKLsLaE1paSmFhYUsXbr0vNdKSkpISUkhJiamcdlvf/tb7rjjjna9h8PhuOg62xLXcwCzl+UCwwGoOP4Vq/5XBg8f2Rey9wyGibMfZsJ3HwKscN768jL+/YfL7S1KROQSE2i72Mhz0KWlpQD07du32fLq6mry8vIYO3asHWUFrLbqJNWV5U2en6Cm8riNFQXm5OE9jX/3uBs4eWSvjdWIiFzejGxBx8fHA1BUVMTMmTMbl69YsYKysrLzBogtW7aMhx9+mISEBLKyskhNTfX7HqHq2W86IMwrftDVPLLmOJk3QueYtn/WTk0HhA3vA3uPuLjtn//KDyf/lbFD7a5OROTyY+Q5aLfbzZgxYygrK2PlypUMGDCAtWvXsmHDBkpKSti2bRsTJkwArC7vQYMG4XA4eOmll1i6dCl79+6lc+fOYa+75Wjtk2es5fFdmg8cMy2kW47WnpbSfODYDyejkBYRCTMju7idTidr1qwhJSWFzMxM5s+fT3x8PEuWLMHlcjVrIQ8ePLjxfPKdd95Jhw4d2L17d9hrbm0qlVcg86Tt0tpUqkCmYImISGgZ2cUNkJSURE5OTrNld999N8nJyXTs2BGAmpoaKisrG7vEN23aREVFBcOHDw9rrf7mOXvnST+x8VxIm9CS9jXP2RvSYLWk/7LV+rta0iIi4WFsQLemoKCAiRMnNj4/ffo0M2bM4OzZszidTrp27cr69evp2rVr2GoK9CIkpoV0IBchUUiLiNgnYgK6srKSoqIiFi9e3Ljsiiuu4OOPP7axKivEXM7A5jk3DWmnw/pZu7iczbuy29I0pDd+Zv2ciIiEnpGDxCLN2Xrrxhe94povv/8F68/Hf9B8+ckz0CEKOnUIT31tOXwK+nYLbF2PB46cDnx9ERG5OBHTgjZZh6jzw9kXO2+S0VR7wtbhUDiLiISTOixFREQMpIAWERExkAJaRETEQApoERERAymgRUREDKSAFhERMZACWkRExEAKaBEREQMpoEVERAykgBYRETGQAlpERMRACmgREREDKaBFREQMpIAWERExkAJaRETEQApoERERAymgRUREDKSAFhERMZACWkRExEAKaBEREQMpoEVERAykgBYRETGQAlpERMRACmgREREDKaBFREQMpIAWERExkAJaRETEQApoERERAymgRUREDKSADoL9R+H9osDXL9gPX5aFrh4REYl8UXYXEOkqauDpHKipA7cHrh/he/2PiuHFDyDKBT+/DXrFhadOERGJLEa3oN1uNytXriQxMZHY2FjS0tLIy8tjxIgRLFy40O7yAOgSC99Ks/7+SgG8u7vtdb3h7AGmXa1wFhGRthndgl6wYAHr1q3jl7/8Jenp6WzdupV58+Zx9OhRfvazn9ldXiNvq/mVAuvRdJlX03CemQa3XB3WEkVEJMIYG9CrV69m1apV5ObmkpGRAcDUqVPZvn0769atY+zYsTZX2FxrIe2lcBYRkfZyeDwej91FtGbUqFEMHDiQ7OzsZssffPBBHnvsMSoqKoiJieHs2bP8/Oc/5/XXXyc2NpYePXqwZcsWm6q2urhbBrQDhbOIiLSPkS3o0tJSCgsLWbp06XmvlZSUkJKSQkxMDAC/+MUvqKio4Msvv8TlclFWZu/w6KYtaS+Fs4iItJexAQ3Qt2/fZsurq6vJy8tjxowZAJw5c4ann36aQ4cO4XK5AOjXr19A7+FwOIJY8fmmLVxF8g33AFC8/XVu/eF3Qvp+IiISGQLtuDZyFHd8fDwARUXNJxevWLGCsrIy0tPTAdi7dy/dunXjd7/7HePHj2fixIm8/PLLYa+3pauu/SEjr7u78XnC2G+TOm2JjRWJiEikMbIFnZCQQGpqKsuXL6dnz54MGDCAtWvXsmHDBoDGgK6vr+err76iX79+5Ofnc+DAASZPnkxiYiJjxozx+R6hOvXeckBYx2iru3vqPU/wxO+f8DtPWkREBAxtQTudTtasWUNKSgqZmZnMnz+f+Ph4lixZgsvlIjU1FYDBgwcDcM89Vlfy0KFDufbaa8nPz7el7tZGa18/AmZfY73ub560iIiIl5EBDZCUlEROTg5VVVWUlJSQlZXFrl27SE5OpmPHjoDVFT59+nTefPNNAMrLy8nPzyctLS3s9fqaSqWQFhGR9jJ2mlVrRo4cycSJE3nuuecalx08eJAFCxZw5MgRPB4PS5YsITMzM6x1BTrPuekUrNnX+L8sqIiIXL6MPAfdmsrKSoqKili8eHGz5UOGDGHjxo02VWVdi3vNR4FNpWo6BevV7ZA8QJf7FBGR1kVUC9pUu8vg0HG4OSWw9d8rgq4dIXVQaOsSEZHIpYAWERExkLGDxERERC5nCmgREREDKaBFREQMpIAWERExkAJaRETEQApoERERAymgRUREDKSAFhERMZACWkRExEAKaBEREQMpoEVERAykgBYRETGQAlpERMRACmgREREDKaBFREQMpIAWERExkAJaRETEQApoERERAymgRUREDKSAFhERMZACWkRExEAKaBEREQMpoEVERAykgBYRETGQAlpERMRACmgRERED/X9q5WvIJE3eXgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lookahead_circ.draw(output='mpl')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:58.935337Z", "start_time": "2019-12-10T21:47:58.646318Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stochastic_circ.draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preset Pass Managers\n", "\n", "Qiskit comes with several pre-defined pass managers, corresponding to various levels of optimization achieved through different pipelines of passes. Currently ``optimization_level`` 0 through 3 are supported; the higher the number, the more optimized it is, at the expense of more time. Choosing a good pass manager may take trial and error, as it depends heavily on the circuit being transpiled and the backend being targeted.\n", "\n", "Here we illustrate the different levels by looking at a state synthesis circuit. We initialize four qubits to an arbitrary state, and then try to optimize the circuit that achieves this.\n", "\n", "- ``optimization_level=0``: just maps the circuit to the backend, with no explicit optimization (except whatever optimizations the mapper does).\n", "\n", "- ``optimization_level=1``: maps the circuit, but also does light-weight optimizations by collapsing adjacent gates.\n", "\n", "- ``optimization_level=2``: medium-weight optimization, including a noise-adaptive layout and a gate-cancellation procedure based on gate commutation relationships.\n", "\n", "- ``optimization_level=3``: heavy-weight optimization, which in addition to previous steps, does resynthesis of two-qubit blocks of gates in the circuit." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:58.956270Z", "start_time": "2019-12-10T21:47:58.937115Z" } }, "outputs": [], "source": [ "import math\n", "from qiskit.providers.fake_provider import FakeTokyo\n", "\n", "backend = FakeTokyo() # mimics the tokyo device in terms of coupling map and basis gates" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:47:59.632459Z", "start_time": "2019-12-10T21:47:58.959187Z" } }, "outputs": [ { "data": { "text/html": [ "
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       "q_5: »\n",
       "     »\n",
       "q_6: »\n",
       "     »\n",
       "q_7: »\n",
       "     »\n",
       "q_8: »\n",
       "     »\n",
       "q_9: »\n",
       "     »\n",
       "«     ┌────────────────────────────────────────────────────────────────────────────┐\n",
       "«q_0: ┤0                                                                           ├\n",
       "«     │                                                                            │\n",
       "«q_1: ┤1                                                                           ├\n",
       "«     │  Initialize(0.5j,0.35355,0,0,0,0,0,0,0.35355,0.35355j,0,0,0,0,0.5,0.35355) │\n",
       "«q_2: ┤2                                                                           ├\n",
       "«     │                                                                            │\n",
       "«q_3: ┤3                                                                           ├\n",
       "«     └────────────────────────────────────────────────────────────────────────────┘\n",
       "«q_4: ──────────────────────────────────────────────────────────────────────────────\n",
       "«                                                                                   \n",
       "«q_5: ──────────────────────────────────────────────────────────────────────────────\n",
       "«                                                                                   \n",
       "«q_6: ──────────────────────────────────────────────────────────────────────────────\n",
       "«                                                                                   \n",
       "«q_7: ──────────────────────────────────────────────────────────────────────────────\n",
       "«                                                                                   \n",
       "«q_8: ──────────────────────────────────────────────────────────────────────────────\n",
       "«                                                                                   \n",
       "«q_9: ──────────────────────────────────────────────────────────────────────────────\n",
       "«
" ], "text/plain": [ " »\n", "q_0: »\n", " »\n", "q_1: »\n", " »\n", "q_2: »\n", " »\n", "q_3: »\n", " »\n", "q_4: »\n", " »\n", "q_5: »\n", " »\n", "q_6: »\n", " »\n", "q_7: »\n", " »\n", "q_8: »\n", " »\n", "q_9: »\n", " »\n", "« ┌────────────────────────────────────────────────────────────────────────────┐\n", "«q_0: ┤0 ├\n", "« │ │\n", "«q_1: ┤1 ├\n", "« │ Initialize(0.5j,0.35355,0,0,0,0,0,0,0.35355,0.35355j,0,0,0,0,0.5,0.35355) │\n", "«q_2: ┤2 ├\n", "« │ │\n", "«q_3: ┤3 ├\n", "« └────────────────────────────────────────────────────────────────────────────┘\n", "«q_4: ──────────────────────────────────────────────────────────────────────────────\n", "« \n", "«q_5: ──────────────────────────────────────────────────────────────────────────────\n", "« \n", "«q_6: ──────────────────────────────────────────────────────────────────────────────\n", "« \n", "«q_7: ──────────────────────────────────────────────────────────────────────────────\n", "« \n", "«q_8: ──────────────────────────────────────────────────────────────────────────────\n", "« \n", "«q_9: ──────────────────────────────────────────────────────────────────────────────\n", "« " ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qc = QuantumCircuit(10)\n", "\n", "random_state = [\n", " 1 / math.sqrt(4) * complex(0, 1),\n", " 1 / math.sqrt(8) * complex(1, 0),\n", " 0,\n", " 0,\n", " 0,\n", " 0,\n", " 0,\n", " 0,\n", " 1 / math.sqrt(8) * complex(1, 0),\n", " 1 / math.sqrt(8) * complex(0, 1),\n", " 0,\n", " 0,\n", " 0,\n", " 0,\n", " 1 / math.sqrt(4) * complex(1, 0),\n", " 1 / math.sqrt(8) * complex(1, 0)]\n", "\n", "qc.initialize(random_state, range(4))\n", "qc.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now map this to the 20-qubit Tokyo device, with different optimization levels:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:00.000884Z", "start_time": "2019-12-10T21:47:59.634920Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "gates = OrderedDict([('cx', 70), ('u3', 15), ('u1', 15), ('reset', 4)])\n", "depth = 87\n" ] } ], "source": [ "optimized_0 = transpile(qc, backend=backend, seed_transpiler=11, optimization_level=0)\n", "print('gates = ', optimized_0.count_ops())\n", "print('depth = ', optimized_0.depth())" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:00.474954Z", "start_time": "2019-12-10T21:48:00.003129Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "gates = OrderedDict([('cx', 22), ('u3', 15), ('u1', 6)])\n", "depth = 40\n" ] } ], "source": [ "optimized_1 = transpile(qc, backend=backend, seed_transpiler=11, optimization_level=1)\n", "print('gates = ', optimized_1.count_ops())\n", "print('depth = ', optimized_1.depth())" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:01.649048Z", "start_time": "2019-12-10T21:48:00.477272Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "gates = OrderedDict([('cx', 20), ('u3', 15), ('u1', 6)])\n", "depth = 38\n" ] } ], "source": [ "optimized_2 = transpile(qc, backend=backend, seed_transpiler=11, optimization_level=2)\n", "print('gates = ', optimized_2.count_ops())\n", "print('depth = ', optimized_2.depth())" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:03.166110Z", "start_time": "2019-12-10T21:48:01.651535Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "gates = OrderedDict([('cx', 20), ('u3', 15), ('u1', 6)])\n", "depth = 38\n" ] } ], "source": [ "optimized_3 = transpile(qc, backend=backend, seed_transpiler=11, optimization_level=3)\n", "print('gates = ', optimized_3.count_ops())\n", "print('depth = ', optimized_3.depth())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introducing the DAG" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In Qiskit, we represent circuits internally using a Directed Acyclic Graph (DAG). The advantage of this representation over a pure list of gates (i.e., *netlist*) is that the flow of information between operations are explicit, making it easier for passes to make transformation decisions without changing the semantics of the circuit.\n", "\n", "Let's start by building a simple circuit, and examining its DAG." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:03.375950Z", "start_time": "2019-12-10T21:48:03.169405Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import QuantumRegister, ClassicalRegister, QuantumCircuit\n", "from qiskit.dagcircuit import DAGCircuit\n", "q = QuantumRegister(3, 'q')\n", "c = ClassicalRegister(3, 'c')\n", "circ = QuantumCircuit(q, c)\n", "circ.h(q[0])\n", "circ.cx(q[0], q[1])\n", "circ.measure(q[0], c[0])\n", "circ.rz(0.5, q[1]).c_if(c, 2)\n", "circ.draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the DAG, there are three kinds of graph nodes: qubit/clbit input nodes (green), operation nodes (blue), and output nodes (red). Each edge indicates data flow (or dependency) between two nodes. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:03.525267Z", "start_time": "2019-12-10T21:48:03.378085Z" }, "scrolled": true }, "outputs": [ { "data": { "image/png": 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68cknnxAREUGPHj3o0KEDFy9etHZogg1p0aIFVatW5c6dO5w5cwaAVq1aERsbm6NyRLIUzC4+Pp5u3brh4uJC6dKlWbt2LX5+fkiSxPjx41+436xZs2jfvj2DBw+mUKFCTJ48mYCAAObMmWPB6IW8wtjzyNfXl6+++gpPT0+KFSvGt99+y/379zl48GCO6hfJUjC7UaNGERYWxvHjxzl58iR79uwhISGBoKCgLBNfSEgIDRs2zLStcePGhISEmDtkIQ8y9jy6detWpvXCPTw8AHK8kqhIloJZabVagoKCmDRpEpUrV8bb25vAwEDS0tKy3C8pKYmkpCQKFy6cabuvry/37t0zZ8hCHpSenm7UefQ8e/bsoVy5crRo0SJH+4lkKZiVRqNBr9dTqVKlx9u8vLzw9vbOcr9Hi44+eUXwaPvT24T8Lykpyajz6Gnx8fHMmDGDlStX5nhtcZEsBavQ6XRZvu7u7o6bmxvR0dGZtkdHR+Pv72/O0AQb8rLz6ElJSUl07tyZmTNn0qBBgxzXJZKlYFYODg4oFArCw8Mfb3vw4AHx8fEv3bdJkyYcOnQo07bQ0FCaNm1q6jCFPM7Nzc3o8wjg3r17dOjQgcmTJ9OtWzejYhDJUjArOzs7evfuzezZswkPDycmJoZp06bh6ur60n0nTJjA1q1bWbFiBXFxcQQGBhIeHs7YsWMtELmQlzg6Ohp9HoWFhdGjRw9+/PFHWrVqBcDu3buZOHFijmIQyVIwu4ULF1K1alVq165N3bp1ad++PSqV6qX7NW3alNWrVzNr1iz8/PxYvXo1wcHBmZ5bCQWHMedRWloajRs35tChQ1SpUuXxKJ1HSTMncvaEUxCM4Onpyfr161/6vpkzZzJz5kyWLVv2ePRFt27dsrxt8vHxISYmxlShCnmYsedRYmLiS/fJznkkkqWQJ5w4ccKo/R4+fGjiSARbZs7zSNyGCxYVFRWFJEncv3+f3r17ZznyQhBexBrnkbiyFCzKz8/vcR9KQTCWNc4jcWUpCIKQDSJZCoIgZINIloIgCNkgkqUgCEI2iGQpCIKQDSJZCoIgZINIloIgCNkg+lkKJjV+/HgWLVoEGOae1Ol0jyc7UCgU/Pnnn7zxxhvWDFGwAW3btn287IMsy+j1+sfnkZ2dHeHh4RQrVsyiMYkrS8GkOnTogFKpJCUlhdTUVDQaDSkpKaSkpCBJEk2aNLF2iIIN6NChA8Dj8yg9Pf3xeVSyZEmLJ0oQyVIwsaZNmz53BmqFQkHXrl2xt7e3QlSCrenZs+dzR+i4uLgwbNgwK0QkkqVgYgqFgn79+j2TMN3c3HjnnXesFJVgawoXLkyNGjWe+1r37t0tG8x/RLIUTG7gwIE4Oztn2mZnZ0ejRo2sFJFgi4YPH46bm1umbTVq1MDX19cq8YhkKZhc7dq1cXd3f/y9nZ0d/fv3FwuNCTnSuXNntFrt4+9VKhXDhw+3WjwiWQpmMWjQIBwdHQHDc6ZHk/kKQna5ubnRrFmzx9/rdDreeustq8UjkqVgFoMGDXr83NLd3Z3q1atbOSLBFr333nt4eHgA0KxZs8f/tgaRLAWzKFeuHEWLFkWpVDJkyBBrhyPYqDfffBOtVourqytDhw61aiwiWQpm895776HT6ejXr5+1QxFslJOTEx07dkSn09GuXTurxiLJYtpqwUjp6XDyJJw9C2fOyly9JnPvnkR0FGg0kJgQgULRFUlxBFeVjEoFxYrJFPWHyhUVVKsK1atDxYrW/iSmp9PpOH/+POfPn+fchXOcvnqaO/fu8DD6IQnRCWg1WjRqDfbO9ujSdTi6O+Lg5EAh30L4+ftRtkRZalWoRcWKFalZs6bVWoDNLSMjgzNnznD+/Hkunj3LtbNnibx3j/sPH/IwMRGNTkdqRgaSJKGQJFQODrg4OlLUxwc/X19KvvoqlWrXpkKFCtSuXRsvLy9zhfq5SJZCjly5Ahs2wF/b9ISdkShdQUfJVzUUK59B0ZI6ChXR4eGjx81TD8DVs6cpV7UGOi0kximIe6Ak9r6Su1ftiLhmz7Xz9iQnKGjSBDp3kujQAcx3vpuPLMucOXOG4G3B/Ln3T8JPhuNQ2gF9dT3qADX6CnrwA/wBb+DpFVz1QCwQDdwHboDDJQecw53JOJGBq4srjRo2ovub3WnTpg3e3t6W/YAmotfrOXbsGFs3b2b/1q2cvXqVACcnqmq1VFCrqSDL+GI4TIUAF0AHhAE1AS3/P0yRwA3gkpMT552cOJGWRhFvbxo1a8abXbvSqlWrZ7oe5YJIlsLLJSXB76vhx0UyMXEyr7VIo2bzVF6tnoGDU+5Pn/gYBeePOvLvPmdO/+NAk6bw/giJVq1AkccfFF24cIGfV/7M8t+Xo/PSkdouFU1rDdTl2YSYGzeAEHDb7oZ2j5YqNarwwYAP6NKly+Mx03nZyZMnWblkCX+sWUMJSaK9Wk1LrZbagJOJ6pCBS8ABYJuHBwfT02nSoAEDR42iQ4cOODg45KZ4kSyFF4uLg2+/g0WLZKo3TueN7moq1taYtc6MdIlDO5zY84eKDLWS6Z9K9OyZt5KmLMvs3LmTT+d8SvjVcDQDNWQMyICyFgpAC2wHt5VuyCEy7wx6h49Hf2yV8dJZ0el0bNy4kTmffkrSvXsMTEmhn06HpaJMA/4EVnp4cBoYMWYMI0aPNvaqXCRL4Vl6Pfz0E0z/XKZem1TeeicZbz+dxeO4cMKBDT+6k5Fsx5KfJBo0sHgIzzh48CDvjXuPCEUEieMToTOgtGJAkeA43xG7ZXYM6jeIL6Z8Yc7ndtn2119/8cnIkRRLSGB8YiKtAWsOSbgGfOfszDqFgg/GjWPshAm4uLjkpAiRLIXMbt6Enr1ldPYZDJ6aQNFS2pfuY27HdjuxMtCDrp0l5nwt8V9fd4uKiYnhndHvsOf4HpIDkw1JMi+JBacvnHBY68AP3/xAv77W6YFw584dhvXtS9Tp08xNSuJ1q0TxYveAqS4u7HNxYdHKlbz55pvZ3VUkS+H/goPhnaEyXUcm0qpnirXDySRVLfHrDE8e3HRka7BEiRKWq3vXrl30HNKTlIEppH+aDrl69GVm50E1SEXDEg35Y9kfFu3EHfT774wdMYJPUlMZo9Xm6X6Jh4HBKhVNO3ViwS+/PB5tlgWRLAWDxYth+hd6Pv4hltIBGdYO54X+XuPCX7+4s2ObRJUq5q9vzvdzmP7ddNR/qKGe+eszCS04THGgSHAR9v65l/Lly5u1OlmWmTx+PJuXLGFTcjIBZq3NdFKBkc7OXCxblk27duHn55fV20WyFGDZMpj+pY4pv8TgU9TyzyZz6thuJ1Z85cnBAxLlypmvnsnTJ7MgeAHJfyVDUfPVYy6K3xV4TvIk9O9QAgLMk8JkWWbYgAHc2LSJ9Wo11huMaLy5dnYs9fNj79Gj+Pv7v+htn+flK2XBAvbtg8nT9ExaYhuJEuC1lmn0+iiB1m1lEhLMU0fgt4GGRLnbNhMlgL6vnrjv4mjcpjH37t0zSx3j3n+fm5s2scVGEyXAOK2WUVFRtGrQgMTExBe+T1xZFmAxMVCthszI2bFUrGPeLkHmsOprDxxSnFkbZNp21n379tFxYEfUx9SGjuQ2TjlfSUBQAP8e+De3fQ0zCVq9mi+HDeNocrJJu5RayyeOjlxu0oRNf//9vOkExZVlQTZ5qkz9N1NMlijXLpxL1wB/elUrbZLyXqb3R4kc/1fP7t2mKzMlJYVe7/RC/ZuZEmUdDH1oJGB5DvbzeWK/HH5e3WgdN4vfZPbc2TnbMQvR0dGMHT6cDWZKlFY4TMxKT+fhkSP8tmrVc18XybKAunoVNm2W6TwsyWRl9hw1jkk/rTBZeS9jZy/Te2wC4z8x3c3RzG9mktw8GZqarMhnTcEw3GTQU9vnAfbA1efs8xDIxX+V+ns1X8/7msjISOMLecKUjz5iaHq6WRtznj5MoUAHwA1DUmwPnH1qn9wcJiXwY3Iyk8aMISXl2d4gIlkWUEuWwhvdUnBR2fZTmNrN01Gn6Tl+PPdlpaens3DxQlI+tXC3qTRgAPAHhtE55lAMtP20LPhpQa6LevjwIX9u3sx4jWUf3bQAqgJ3gDP/bWuFYay4qVQDGmu1z726FMmygFodJNP0LfMlhbOH/+H91g3pXzeAJdMnPnelPlNp2EHNqt9zX/7WrVuhNlDayALigW4YZn8oDazFcCsvAeOz2O8c0B8INLLebEofkc7iZYtzXU7Q6tV0lWXcX/7W54rHuMPkC3wFeALFgG8xzDly0Mg4XmREcjLL589/ZrtIlgXQ7dugl2X8Spqn9Vuv0/NvyF6+Xr+DST8u5++1qwg7bOpT+v+q1NcQYoLit+3bRlKbXNzrjsIwPc5x4CSwB0gAgoA5WexXB8MlkrmVhQzHDK5efd59fvbt3byZNqmpRu9v7GG6ReYhk49a3001EccjjYCL16+TlJT5XBDJsgAKD4cyFc03jFGn09Jh4FBc3d2pVLc+xV4px+1LF8xWX+kKGVy+mPtyjoUdQ65j5BXqAww/7ZOAyhimYQvEcIudhyjqKjhz5szL35iFsHPnqGPkvqY8THuAchhuz03JDqji7Ex4eHim7SJZFkAPH4J7IfP1qVQq7fD2+3/nRFd3D1LUyearzw4cHECtzl05MdExxreAX8YwJ2WlJ7Z5YcgGeUi6bzrR0dG5KuNBYiJFjNzXVIcpHpgBrMSQ3EzNV69/5jiJZFkAKRSg15lvDhiFMvNpZYklcPVy7qdxUygVhplmjfGiC9I81s9f0ksolbmbJkkhSeiN3NcUhykJwzwmMwFzTUSll549TiJZFkA+PpAUl3/+67UZEjotODvnrhzvwt6GFgNjVMDw0/TkndsDDJdAeYhDlAOFCxfOVRmFPTww9to0t4fpHobuQ5MxNBKZSxQ8c5zyz0+MkG3VqsHV8+a4ebGO6+F2VKqS+9bwBjUaIB0z8iq4MNAbmI0hE8QA04A8Nom57piOmjVr5qqMGtWrc8zIfXNzmMKAHsCP/L89bDcw0chYXkQDhKelUalSpUzbRbIsgPz8wMVZ4t510ybM7b8vY9bwgWRoNHQN8EedmMgHbzbh4r/H+WPhXBZM/NCk9T1y7ogjzZrk/lRu36I97tuN7RADLMTQEbA2hmUl2pO9pSW0GJp5m/z3fXkMva5N7QK4KFwoXbp0ropp8fbbbM/ZxLmZGHOY0oDGwCGgCv8fpWOOTgQHgGoVKjyzXIcYG15ATfsULtxX02fsiycOsAWyDGPbF2HLRiXVq+eurIyMDHxf8SVuX5yhmdUU/IDvgV7/fV8HQ38ZgGU8O4rnRXwwXIYB7AJa5jwUpw+cmFR0Ep9O/jTnOz8hLi6OV4sX53JKCqaakz0PHSY6u7nRecECBgwc+ORmMTa8oBr6LhzY7EJygm2fAkd3OeHvp8h1ogSwt7dn3AfjcJ1mxnvnExhaOZ433DErD5/Yz5gMcAPs19sz8r2RRuycmZeXF7379OErJ1P3cPw/ax2mY8BpJyd69ur1zGu2/ZMiGK1kSejXF9YtNNlSoRanSZNY850H3wSarrX94w8/xvOUJ+zMZUFRGO4T72N4SJfV0BRzk0E1SsVnEz7Dx8c09/eff/01qx0dOZ3LcvLSYdIAI1Uqvvnhh+fOnC5uwwuwxETDFG0DpsRRo3G6tcPJsZ+ne1LU1YlffjZt16SjR4/SoksL1IfUUMqkRVuF/Ux7auytwaGdh7CzM91z6i1//sm4fv04lpxssttxaxrh7Eximzb8vmnT814Wt+EFmbs7rFkt8dNUL+5eta3W8b/XuHLzrBML5pu+D2e9evWY+/lcVG+qDJc+Nkz5qxLvZd5sXbPVpIkS4K1Oneg7ahTtVSps+8k3fOngwPGSJVn6++8vfI9IlgVc/fqw6AeJ2cO9ibhhGwnzwGZnti1z4+8dErlolM3SsHeH8dmwz1C9oYLr5qnD3JQ/KPGZ6cORPUdy3bfyRabPmkXjIUNoo1IZ3ffSmmRgqoMDG0qWZGdoaJbL44pkKdC1C3w3R8GMwT5c/DfvLl0oy7BpiYrgpR7s2yNRvLh56xs/ZjzzJ8xH1URlaFq1FWng9J4TZZeV5cSBE5QqZd5nCV/Pm0fnSZOor1Jxwqw1mVYC0MXVlWO1a7P32DG8vbMedCmSpQBAz56wbo3EgnGF2PKLCtnY8WxmkhSvYM4ob64fU3H0sETZspapd/DAwezasAvf4b44j3KGXI4/N7ujoKql4m3d25w+eJri5v6N8p9PJk9m4Zo1vO3pyWcODuT1RUr+Bqq7uvLqO++wLSQEL6+XP3UVyVJ4rFkzOPWvxN3TKj7tW5jr4fbWDglZhn0bXfj47cK0bOhAyH4JM91RvlD9+vW5euYqveReuFZ0RfpVwujB0eZyF1wHu+Ldw5ugr4MI+iUI59yO/8yhdu3bc/rKFS63aUMVlYqNFq09ey4BXVQqxhQvzu87dxI4b162n+WK1nDhudasgbHjZQLqpNN5WBLFXjHflG7PI8twfK8Tmxa5UdhLyU8/Wmad8Jc5c+YMIz4ZwdlbZ1GPUyP3l00/oWJOXAaXb11QbFIwbvQ4Pvnokyyfu1nKP//8w/hhw8i4e5ePExPphnlmB8quU8A3KhX7lUqmzJjBeyNGYG+fo4sBsW648GKpqfDTT/D1HJlSFTJ4vbuaWs3SyOWkNVlKTlRw4E9n9v7hSuFCCr74XKJNG/PVZ6yjR48yfc50DoQcgJ6Q2j/VMHbPEpKATeCxwgPFZQVj3x/LqOGj8PT0tFAA2bd7927mfPYZ58+coa9WS//0dCpbqO5YYK0ksdLdnQdOToydOpVBQ4YY+8tEJEvh5TQa2LwZfvhJ5txZw7o3NZulUrGOBnev3N+PRtyw49wxB/7d48yVc/a83QlGDJd47bXcx25uERERrPx9JYt/W8yDuAfI7WRS2qRAfUy33rgWOAtSiIT7Nnc0xzU0b9Wckf1H0rZtW5N3CTKH69evs/LXX1n9yy/IajUdMjJomZZGfUw35acG+Bc4oFCw1d2dcI2Gju3bM3DkSJo2bYoid3P4iWQp5Mz9+4bEGbxNz6FQCU9vPaUraClWXkPR0lq8CuvxKqzDxV3Gzk7G0VlGnaRAr4PEWAVxDxTE3ldy77o9N85FceOSC16efjRvBp3flmjVCp4zeMIm3Lp1i63btrJpzyZOHD6B1kGLXXU7UgJS0FTQGAZAF8MwgNkZcPzv7/j/CogBov/7ug6qiyrsLtiRejaV4mWL83rD1+nSrguvv/46TmYcamhuly5d4q8tWzgQHMyRU6fwUiioqlBQITmZAK0WPwy/Z3wwHCInwAFIxPCo+CGGad2igOuSxEWVivNKJRdTU6n8yis0atWKdm+/TePGjXN6q50VkSwF48kyXLwIZ89C2Fm4ck3m7l1DQk1RG75kDMPZPDzBxRWKF5cp5i9RqaJE2JnpODg85NdfF1r5k5jH7du3OX/+PMHBwYQeD8XT35P70feJjY5Fk6pBk2ZoM5aQcPZwxtHZkcJFClO8WHFeLfEqVStUpVKlSlStWjVPPIc0l2vXrnH+/HkuXrjA1bAwIm/dIur+fWITElCnp6PJyDC8UZLwcnHB2ckJP19fihYrRqmKFalYtSoBAQFUrVoVBwezdX0TyVKwntjYWAICAjhz5gxFi5rqnjXvGTBgAI0bN+a9996zdiiC8USyFKzrk08+QaFQMHv2bGuHYhZqtZpSpUpx6dKll3Z6FvI0MTZcsK5x48axbNky4uLirB2KWWzcuJHXX39dJMp8QCRLwap8fX3p2rUrCxYssHYoZrFq1Sr69+9v7TAEExC34YLV3b59m3r16nHlyhVUquysw2AbIiIiqFGjBnfv3jVnw4NgGeI2XLC+kiVL0rp1a5YsWWLtUEzqt99+o2fPniJR5hPiylLIEy5evEiLFi24du2aTfchfFK1atX4+eefec0WetcLLyOuLIW8ISAggAYNGrBixQprh2ISp0+fJi0tTSTKfEQkSyHPmDp1Kl9//TVarWUn7TCHVatWMTDz6oCCjRPJUsgzatSoQfny5Vm7dq21Q8kVnU7HmjVr6NOnj7VDEUxIJEshT5k8eTIzZ85Er89rE0Zm365duyhfvjxlypSxdiiCCYlkKeQpTZs2xdvbmy1btlg7FKOJvpX5k2gNF/Kcbdu2MX36dI4dO2btUHIsOTmZMmXKcOXKlTw5v6RgNNEaLuQ97dq1Q6/Xs3v3bmuHkmPr16+nRYsWIlHmQyJZCnnSxIkTmTlzprXDyDFxC55/iWQp5EldunQhJiaGkJAQa4eSbffu3SM8PJzWrVtbOxTBDESyFPIkhULB5MmTmTFjhrVDybaVK1fSs2dPU87OLeQhIlkKeVaPHj24f/9+rq8u69SpgyRJSJLE8uXLs72fj4/P4/2y8/x09erV2boFt1Q8gmmJZCnkWQqFgkmTJvHFF1/kuqwpU6YgyzKDBg3KtH3jxo1UrFgRJycnatSowZ49ex6/9vDhQ5KSkrJV/smTJ9HpdNSuXTtX8QDMmzcPe3t7rl69mml7TuIRTE8kSyFP69mzJ3fv3uXgwYMmLzs0NJRevXrxySefEBERQY8ePejQoQMXL17McVmrVq1iwIABuYonLS2NAQMG8Mcff+SLIZ/5jUiWQp6mVCqZMmUKX3755QvfEx8fT7du3XBxcaF06dKsXbsWPz8/JEli/PjxL9xv1qxZtG/fnsGDB1OoUCEmT55MQEAAc+bMyVGMWq2WP/74g759++YqnnPnztG/f38CAwNzVL9gGSJZCnle7969uXXrFv/8889zXx81ahRhYWEcP36ckydPsmfPHhISEggKCsoy8YWEhNCwYcNM2xo3bpzjZ6Q7d+6kYsWKlChRIlfx1KlTh1atWuWobsFyRLIU8jylUvl4zPjTHjx4QFBQEJMmTaJy5cp4e3sTGBhIWlpalmUmJSWRlJRE4cKFM2339fXl3r17OYrvyb6VxsYj5H0iWQo2oW/fvty4cYPQ0NBM2y9fvoxer6dSpUqPt3l5eb10gbBHo3wlSXpm+9PbspKYmMiuXbvo3LlzruIR8j6RLAWboFQqmTRp0jNXly+a2kCn02VZnru7O25ubkRHR2faHh0djb+/f7bjWrduHW3btsXDwyNX8Qh5n0iWgs3o168f165dyzTBRoUKFVAoFISHhz/e9uDBA+Lj419aXpMmTTh06FCmbaGhoTRt2jTbMT09vDE38Qh5m0iWgs1QKpVMnDgx06iewoUL07t3b2bPnk14eDgxMTFMmzYNV1fXl5Y3YcIEtm7dyooVK4iLiyMwMJDw8HDGjh2brXhu3brFpUuXaNmypUniEfI2kSwFmzJgwAAuX76c6epy4cKFVK1aldq1a1O3bl3at2+frSV1mzZtyurVq5k1axZ+fn6sXr2a4ODgTM8bs7Jq1Sr69OmDnZ1dpu3GxqPVapEkiSZNmgBQvnx5fHx8shWLYAGyINiYn3/+We7QoUOW7/H19ZWDgoJkWZbl2rVry4AMyMuWLct2Pd7e3o/327Vr1zOvBwQEyKdOncpWWZaIRzCr6XYvTqOCkDcNGDCAr776iuPHj1O3bt2Xvv/EiRNG1fPw4cMXvnbs2DGUSiU1atTIcbnmiEcwP3EbLtgce3t7Jk2a9NxRPVFRUUiSxP379+ndu3eWI2ZyI7urN1oqHsH8xLISgk3KyMigQoUKrFu3LtuTV5iy7hIlSnDixAmKFy9u0boFqxHLSgi2yd7enqlTpzJ16lSL1719+3aqVasmEmUBI5KlYLMGDhzIrVu32L9/v0XrFUtHFEziNlywaX/88Qfz589/4SQbppaQkEC5cuW4ceNGtroDCfmGuA0XbFv37t1JTU1l27ZtFqlvzZo1vPnmmyJRFkAiWQo2TZIkvvjiCyZNmoRerzd7feIWvOASyVKwee3atcPLy4sNGzaYtZ6bN29y8+ZN3njjDbPWI+RNIlkK+cKXX37J1KlTMy3HoNVqc7U8Q3h4OAsWLHjcGXzFihX06dMHpVKZ63gF2yOSpZAvNG7cmDJlyrBq1SpkWWbDhg2UL1+es2fPGl1mREQE48ePp2TJkjRr1ozFixfTvXt3E0Yt2BKRLIV8Y+bMmXz66adUqVKFIUOGEBUVZdTiY49otVpcXFxITU0lJCSEpKQkXn/9dbp3787u3btfOHelkD+JZCnkCxcuXGDq1KnEx8dz4cIFEhMT0Wg0ubqyfHrC3uTkZNRqNRs2bODtt9/m2rVruQ1bsCFiIg3Bpul0Ot555x3WrVtHWlpaphZxvV5v9KQVj8p+3tWjs7MzQUFBlCtXzuiyBdsjriwFm6ZUKunVqxdKpfK5XYcuXLhgdNnPaxxSqVRMmTKFjh07Gl2uYJtEshRsXtu2bdmzZw+enp7PLDYWHR1tdIv401eWLi4utG7dmsmTJ+cqXsE2iWQp5At169bl8OHD+Pj4ZJq53MnJiRs3bhhVplarfZwslUolxYsXZ9WqVSaJV7A9IlkK+UZAQABnzpyhZMmSODo6AoYRPsbeij/ZwOPu7s6ePXtwcXExSayC7RHJUshXihYtyokTJwgICMDJyQm1Ws358+eNKkun06HRaFCpVGzfvl1MyVbA2XRreFxcHBEREURGRhIXF0d8fHymZ0wqlQo3Nzf8/Pzw9/enaNGiKBTi90N+5+XlxaFDh2jfvj0HDx7M1CKelga3b0NUFNy/D4mJ8GQPIQ8Pw1fx4pCYqCU9PZ2FCxdSr149K3wSIS+xmSna7ty5wz///MPew3s5FnaM6+HX0Sv02BezR1FUgbaIFr29Hp1KB/YgxUvYy/ZIMRKKKAXaSC2aBxr8y/lTpVIVWtVvReNGjalWrZoYvpZPpaZm0KFDHy5cuEzt105x7qzEw4dQpKgeb189noV12NnLOLrIKO1k1IkKkCEhRklctJI7139Gr7/Ia/XnUq+ugubNoHFjcHOz9icTrODzPJ0sjx49ypqNa1j/13rikuJQNlGS2DARagEBgFcOC9QAl4Fz4HzIGYdDDuhu62jZpiV93upDx44dcXJyMvnnECxHp4Pt22HNHzLbt4NfcS3YfUnHQWMoHaClcDEdTzWYv9Cdq5dw83qVu1cduRLmwJWTjlw8Y0/tOtCzm0SPHuDpadaPI+QdeS9ZJiYmsuSXJcz/eT4JygTUvdToOuqgqpkqfABsBfeN7uiP6OnevTsfj/qYihUrmqlCwRxiYmDhDzKLl4BfKS312qZQr2Ua7oVMO21bRrrEmcMOHNvpwr8hjrzVEcaPk6hSxaTVCHlP3kmWcXFxfPnNlyz5ZQn6jnpShqdAHQsHEQXKlUqcFjpRv3Z95nw2x6ilTgXLSUqCr2bB0qUyDdul0rqPGv/Sxs80lBPqRAX7NjmzbYWKBvUlAmdJvPqqRaoWLM/6yVKv17No8SImfzEZTXcNaRPSwN+aEQEakFZJuMxw4e02b/PdzO8oXLiwlYMSnrZ+PYz+UKZW81S6jEjC08f8k/8+T4ZGYvcfLmxe4sbQdyU+nQbiaU6+Y91kefPmTboN6sYl+0skL0yGCtaK5AXU4DDLAZflLiz/cTmd3upk7YgEIDkZRrwvc+SEjve+iKds5QxrhwRAYqyClYEePLjhyPo/JCrktfNZyA3rrcHz999/U71hdU73OE3y33kwUQK4guZLDfF/xtNvQj/GfDLGIksXCC927x68Vl8mXk7ly6CHeSZRArgX0jMqMI4WfRNo0kxm1y5rRySYklWuLH9e9jMffvYh6g1qqGvp2o2UCK69XGns3JjgNcHY29tbO6IC5/p1aPa6TLvBSbTprbZ2OFm6ds6euR8UYsF8Bd27WTsawQQsf2W58reVfPTFR6gP2lCiBHAHdbCag44Heav3W7larkDIufv3oWVrmc4jE/J8ogQoWyWDKb/EMGq0nr17rR2NYAoWvbI8cuQILbu1RB2ihlcsVauJacG1iytDKw3lu9nfWTuaAkGvhzdaypSomUzn95KtHU6OXDljz7djvDl5XEKMlrRplruyTEpKolOfTqiXmzhR1gGk/76W52A/nyf2252D/exAvUrNzxt/ZseOHTnYUTDWvHkyydoM3h5qW4kSoHz1DNoPTqb/wDzRQ0/IBYsly2lfTCO5fTK0NEPhUwAZGPTEto1ARcAJqAHseWqfh0CSkfV5QPKyZIZ8MIT09HQjCxGyIy4OvpoNQ6bFZ3vkTV7TfkAykQ90BAdbOxIhNyySLKOjo1m6Yikpn6dYojoIBXoBnwARQA+gA2D82lXPagRJ1ZNYsXKFCQsVnvb994bO5n4ldS9/cx4lSdDzw0SmzxBXl7bMIsny52U/I/eUoZCRBWiAsYAv4Am0Ag5k8f5ZQHtgMIY6J2MYSz7HyPpfIPnDZAJ/DDRtocJjej38sgxa9TRNg442I4Pls6czpFE1+tcN4PMhPTl//DAAH3Z4na4B/nQN8Gf778vYt2ltpu9zq1rDdKIfyuRi/TTByiySLH/f8jupvVONL2A8sBnYAdwHpgK9s3h/CNDwqW2N/9tuSo0hOi6a27dvm7hgAeD8eXBW6fEvY5qeBysCP+fo7h1MW7qaX0PD6DbiQ74bOxKA7//aR5veAylaqgxvdOlJ807dqd28JQt3hvJm38G5rluSoF7rVLZuzXVRgpWYPVmmpaVx7fw148d5xwKLMFwd1gQcgWYYbq+fJ+m/r6dHJ/oC94yMIQtSE4l//vnH9AULHD4Mr9bUmKSs5IR4dgatpOuw0ZSpVAV7Bwcq123AzwdPPX7PoAmfoVAqWTbrM7YsX0zdN1pTtFQZk9QPhs9y8JAY1GCrzJ4sIyMjcSzqCMb24b4EaIHszury6LHQ040B8nO2mYC6rJqbt26avmCB23fAp5hpRujcu3ENnU5LyVdfPFTMwcmJD+f8wL5Nf3Du6CFa9ehnkrof8S2h5e5dkxYpWJDZk2VCQgJKz1xMrpvTZ+LugBsQ/dT2aMwyQYe+kJ4H8Q9MX7BAfIKMi5uJGkWy2Z24SLESePv5c/XsaeJjTPv/6uomkxBvo036gvmTpbu7O7qEXLRkVsSw+MW5HOzTBDj01LZQoKnxYbyIIl6Bj4eP6QsW8HCXSEk2TXIpVrY8SqUdty9fyvJ9S2dM5qO5P1KiXAV+nDLOJHU/kpIk4e4uWsRtldmTpZ+fH+mR6WBsvvQCRmBo4T4NpAPbgWLAixpJJwBbgRVAHBAIhGNoUTcxl5suFC8mhmaYQzF/iIsyzTJRKncP2vQewMYlC7hx4TwZGg3/huxlaNOapKcaurTt37yOkq8GUL5aTUYHzuPiv8fYGWS6rmEPIpUU9RdXlrbK7AuWubi4UKJcCa6evgq1jSxkDoZIWwPJQHUMnc5dX/D+psBqDK3m72HoNhQMVDKy/ixI/0g0mtzI9AUL1KsHCxY7mKy8gRM+Q2lnx4x3epGWoqZ0hcp8suAXHJ1dCHx/MMf27ASgbe9BBM37BnViIks+n8SxPTuZ9vPqXNd/5bQDjernuhjBSiwyNnzyZ5P5Nu1b0gPNMNqlDnDyv38vI/Monqz4ADH//XsXxo0s+hf8+/hz76IZmtkFtFooVlxmRtADCvvbbqf0Rz55uwirVyh57TVrRyIYwTJjw0e8OwLlSqXhqtDUTmBoBHp6uOPLPHxiPyOHYLrMd+GjYR8Zt7PwUnZ20L+/xN71LtYOJdcunXLAXqEQidKGWSRZlihRgq5vdcVxlqMlqrOMU+C8z5nhQ4dbO5J8bexHsGedK/EPbXu993UL3Jk2VTyvtGUWOwPnfjkXp+VOcNxSNZpRGqjeUTF/9nxUKpW1o8nX/P1hxHCJFbM8rB2K0Q5sdoZ0O3r1tHYkQm5YLFkWLlyYNb+sQdVLZRiyaKtkcB7uTMdaHenTu4+1oykQpk2FxEhHdq+zvdvxu9fsWP2tB0G/Syhs++K4wLPof1/btm35dNSnuLVyMzwztEGOHzlS+XZlfl34q7VDKTAcHGDjeok/f3Ln5H7beZQTE6UkcIQ3P/4gFi/LDyz+u+7jjz5mfJ/xqJqo4Iqla8+FdHAZ5ELlU5XZt2UfTmKtU4sqUwa2bZX4eboXR3bm/WMfecuOGYN8mDpREmvw5BNWuTH4dOKn/Dj1R1TNVUibbOCh93VQva6ira4th/4+JJ5TWkn16rB/r8Sabz3ZtESFnEfnpDhzyJEZg3yYPVPBiBE2cH4L2WLVdcNPnTpF5/6deVD7ASnfpEARa0XyAjpQLFbg8oULsz+bzchhI5FsdbrufOTGDTUtWn6NymcoI2c5UKRY3uiDmZ4msf4HN47/7cLaIIkGDawdkWBC1ls3HKBmzZpcPHGRD0p+gGs1V+xm2xm/1IMpycBfoKqhouFfDTl18BTvD39fJEork2WZNWvW0Lx5JVq8EUHPt5z5tHdhNixyIy3Fev83sgyHdzoxtqMHCTf/4cwpkSjzI6u3zzk5OTH7i9mEHwun86XOuJR3wWGaA9yxQjCpIK2UcKvhRqUvK7F+znoObjtIuXLlrBCM8KQLFy7Qpk0b5s6dy9q1a1m6dClTpnhz+pSEXbwrY970ZfNSFUnxljultRkS/2x1ZkKXIvyz1pMfvr/PrRujmDt3Knp9Hn1GIBjNqrfhz3Pnzh3mLJjDit9WIFeRSeyVaFg/x1y36OnAfnDZ4IK8SaZRk0ZMGT2F5s2bm6lCISfi4uKYPn06GzduZNq0abz77rsontMH5/p1mB0os2ED1GicTr03U6jeUIO9g+lP72vn7Dmy05mQLS7UrAETPpZo0cLwWmJiIgMGDCA9PZ3Vq1fj5eVl8voFq/g8zyXLRzIyMti2bRsrN65k145dKMsoSW2USnrjdMNqjaUxbjLfWOAsKA4pcDvkRvqhdKrUrEL/Tv3p3as3hQs/PcW6YA16vZ7ffvuNSZMm0a1bN7744gvc3d1ful9SEqxdC6vXypw6CZXqZFChdhoVamko+aoWR6ecne56HUTdtuPyGXsunXTi7GEHPD0lenSDQQMlSpd+dh9Zlvn666/55Zdf2LBhA1WrVs1RnUKelHeT5ZN0Oh0nTpwg9FAo20O3cy7sHLFRsbiUc0EqJqHx05DunY7WU2tIoHaAFqRkCedEZ+wj7VFEKki7nIYddpSvUp4W9VvQrGEzGjdujIeH7Y4OyY9CQkIYPXo0hQsXZt68eVSqZNx0UXFxcOAA7NsvE3pY5vJFCc9CMn4ldXj66HDz1uGk0qNQgEIpo9dJpCYrSE1UEPdAycNIJfduKiheEurUhhavSzRvDq9kc9374OBghg8fzvfff0/37t2N+gxCnmEbyfJ50tPTuXr1Kvfu3SMqKoro6Gh0Oh1nzp3h1u1btG3ZFgcHBzw9PSlatCh+fn6UK1eOQoWMXWJSMLeIiAgmTpzIkSNHmDlzpskTjCzDzZtw547h6/59yMiA2DjDa+5uYG8Pvr7g5wclS0K5coZO8cY6f/48Xbp0oVevXkyfPl00Etou202WL/Lnn38SFBTEmjVrrB2KkE0ajYZFixYxa9Yshg8fzsSJE/NVp/+4uDi6du2Kj48PK1aswNnZ2dohCTln3a5DghAcHEzFihXZvXs3x44dY/r06fkqUQJ4eXmxY8cOnJ2dadGiBQ8eiDWbbJHZZ0oXhOe5fPkyH330EZGRkaxYsYLGjRtbOySzcnBwYMWKFcybN4+GDRsSHBxMQECAtcMSckBcWQoWpVarmT59Os2bN6d169YcP3483yfKJ40ZM4avvvqKFi1acODAAWuHI+SASJaCRciyzMqVKwkICCAyMpKwsDDGjBmDUpmLZZJtVPfu3VmzZg19+vQhKCjI2uEI2SRuwwWzO3nyJKNHj8bBwYGtW7dSrVo1a4dkdU2aNGHfvn28+eabxMfHM2LECGuHJLyEuLIUzCYmJoYxY8bQpUsXhg0bxt69e0WifMKrr77KP//8w6JFi5g4caK1wxFeQiRLweQyMjKYN28eVapUwdnZmfPnzzNgwADRx/A5ihYtyv79+9m/fz8TJ04kn/Xky1dEshRMau/evdSsWZPdu3dz6NAhZs+eLeb/fIlChQqxe/dujh8/zogRI8QkHHmUSJaCSdy5c4cBAwYwcuRI5syZQ3BwMGXKlLF2WDZDpVIRHBzM7du36du3LxkZGdYOSXiKSJZCrqSkpDB9+nRee+01KleuTFhYGG3btrV2WDbJxcWFzZs3o9Pp6NKlC+np6dYOSXiCSJaC0YKDg6lSpQrXr1/n9OnTTJgwAYfcDKQWcHBwICgoiEKFCtGjRw9xhZmHiGQp5NiFCxdo3bo1M2bMYPXq1axcuRJfX19rh5VvKJVKfv31V1xdXenVqxdardbaIQmIZCnkQFxcHGPGjKF169Z069aNo0ePUr9+fWuHlS8plUpWrVqFUqlkyJAhotEnDxDJUngpvV7PypUrqVKlCmCYduy999577ozlgukolUp+++03YmNjGTp0qOhWZGXibBeyFBISQq1atVi1ahW7du1i3rx52ZqxXDANBwcH1q1bx40bN/jwww+tHU6BViCTZZ06dZAkCUmSWL58ebb38/Hxebzf7t27zRdgHhAREcGAAQN49913mTJlCrt27XpmxnJxHC3D2dmZv/76i1OnTjFu3Dhrh1NgFchkCTBlyhRkWWbQoEGZtm/cuJGKFSvi5OREjRo12LNnz+PXHj58SFJSXlir13w0Gg3z5s2jVq1avPLKK4SFhWU5Y/nzjmNWxxAKxnE0NRcXF7Zs2cL+/fsJDAy0djgFUoFNls8TGhpKr169+OSTT4iIiKBHjx506NCBixcvWjs0izDFRLwF/Riak6enJzt37uTXX39l5cqV1g6nwMm3yVKj0TB27Fh8fX3x9PSkVatWL50/cNasWbRv357BgwdTqFAhJk+eTEBAAHPmzLFQ1NZx+fJl2rdvz2effcaKFSsIDg7G3d2dbt264eLiQunSpVm7di1+fn5IksT48eNfWFZBPYaW4uPjw7Zt25g8ebJ4hGFh+TZZjh8/ns2bN7Njxw7u37/P1KlT6d27d5b7hISE0LBhw0zbGjduTEhIiDlDtZqsJuIdNWoUYWFhHD9+nJMnT7Jnzx4SEhIICgrKMvEVtGNoDWXLlmXdunUMGDCA8+fPWzucAiNfJstHC2BNnjyZmjVr4ujoSLNmzYiIiHjhPklJSSQlJT2zbrivry/37t0zd8gW9bKJeB88eEBQUBCTJk2icuXKeHt7ExgYSFpaWpblFqRjaG0NGjRg4cKFdOrUiYcPH1o7nAIhX07+m5SUhFarfdwvMDse9WF7ehoxWZbz1dRi2ZmI9/Lly+j1+kyt315eXnh7e2dZdkE5hnlFly5dOH/+PJ07d2bPnj1iqKmZ5csrS2M677q7u+Pm5kZ0dHSm7dHR0fj7+5sqNKvJyUS8Lzp+Op0uyzry+zHMi6ZOnUrJkiUZPny4tUPJ9/JlsnR3d8fOzo5z587laL8mTZpw6NChTNtCQ0Np2rSpKcOzKGMm4q1QoQIKhYLw8PDH2x48eEB8fPxL68uPxzAvkySJn3/+mbNnz/Ljjz9aO5x8LV8mSwcHB0aMGMGsWbM4ffo06enpbN++nWLFiqFWq1+434QJE9i6dSsrVqwgLi6OwMBAwsPDGTt2rAWjNx1jJ+ItXLgwvXv3Zvbs2YSHhxMTE8O0adNwdXV96b757RjaAmdnZzZu3MhXX33FsWPHrB1OvpUvkyXAnDlz6NSpE61bt8bLy4sZM2awcePGLH/gmzZtyurVq5k1axZ+fn6sXr2a4ODgZ0au5HWmmIh34cKFVK1aldq1a1O3bl3at2+frUSbX46hrSlRogQrVqygZ8+eosHHXOR8ZvPmzXLPnj2zfE/t2rVlQAbkZcuWZbtsb2/vx/vt2rUrl5Ganlqtlj/77DPZz89Pnj17tpyenm7S8n19feWgoKDH3+fX42jLPv30U7ldu3ayTqezdij5zfR82Rr+MidOnDBqv7z8Gzs4OJgxY8bQuHFjTp8+bZH5JfPjcbR1n332GW3atGHu3Ll8/PHH1g4nXymQyTI/OXPmDKNHjyYlJYXVq1ebZX7JqKgoihYtCkDv3r05ceKEGJGTRykUCn7//Xdq1apF8+bNqVu3rrVDyjdEsrRRcXFxTJ8+nY0bNzJt2jTeffdds80v6efnJ+ZStCFFihRh4cKFDBw4kJMnT+Ls7GztkPKFfNvAk1+JiXiF7Hj77bdp2LAhEyZMsHYo+Ya4srQhISEhjB49msKFCz93fklBeNL3339PjRo16Ny5M6+//rq1w7F54nLEBmRnIl5BeJpKpeLnn39m+PDhpKamWjscmyeSZR6W04l4BeFpzZs3p1GjRsyYMcPaodg8cRueRwUHB/Phhx9SqVIljh07RsmSJa0dkmCj5syZQ7Vq1ejevTu1atWydjg2SyTLPOby5ct89NFHREZGsmLFisfzSwqCsQoVKsScOXMYNWoUoaGhYgYoI4nb8Dwiq4l4BSG3evXqhYODA6tXr7Z2KDZLkvNBB7oRI0Y8nkAgJSWF5ORkihQpAoCTkxPr169/3Kk6r5FlmVWrVjFlyhTatWvHzJkz8fHxsXZYQj50+vRpOnXqRHh4eLYmRREy+Txf3Ib7+/tz7tw5NBrN4213794FoGTJknk2UWZnIl5BMJUaNWrQqlUrvv76az7//HNrh2Nz8sVt+IABA7CzezbvOzo68u6771ohoqzlZCJeQTClmTNn8tNPPxEVFWXtUGxOvkiWpUqVonTp0s9st7Ozo1+/fpYP6AWMmYhXEEzJ19eXd955h6+//traodicfJEsAYYNG/bMc5jSpUvneB7H3IiKimL58uXPfc3YiXgFwdTGjRvH77//LhaRy6F8kyx79+6NXq9//L2LiwvvvfeexepPTU2lZcuWjBw5MtNJaIqJeAXBlLy9vXnvvffE1WUO5ZtkWbhw4Wee+/Xs2dMidcuyTK9evbh+/TparZZRo0aRkpLC9OnTee2116hcuTJhYWG0bdvWIvEIwsuMHTuWNWvWcP/+fWuHYjPyTbIEGD58OG5ubgBUrVrVIhPgAnzyySfs2bOH1NRUMjIy2L17NxUrVuTevXuEhYUxYcIEsUypkKd4eXnRt29fFi1aZO1QbEa+6Gf5SEJCAkWLFkWhUDB//nyGDBli9jqXLVvG6NGjSU5OzrS9dOnSXL16FaVSafYYBMEYN2/epGHDhly/fh0nJydrh5PXfZ6vriw9PDxo0qQJ6enpdO3a1ez1HTx4kA8++OCZRAmGpRMWL15s9hgEwVilS5emXr16rFmzxtqh2IQ8e2UZFweRkfDggeHv6GiIfgAJiTKJiZCYJBMXBxoNqNUS/PcxHj7cSHzccsqV32IoSAJ7e3B1BTcVuLtLuKnAw0OisA8UKWL4KlrU8LevL2TnYvDKlSvUqVOHxMTEF75HpVJx69YtChUqZIpDYnW3bt3i4sWLXLhwgUu3LnEn+g4RUREkJSShR09achpOKicUKPDw8qCob1FKFilJhdIVqFixIgEBAZQoUcLaH8Ns9Ho9N2/e5MKFC1y4cIErd69wO+o2UdFRJCUmISNnOkZe3l4ULVKUUr6lCHglgAoVKlCpUiWLDqLYv38/48aN4+TJkxar00ZZdwRPbCycOwfh4XDxkszVazI3bkrcvglOzuDprceriB6PQjpUXjpUXnpcvfV4l5Ip5qrH2VXGycWQJO3swMlFT4amHlfP6qlY+yEZGon0NEMfRm2GRJpaQp0koU5U8EAtceumgsSTShJjlSTEKIi5ryAhTsLXD0qXkXmljMSr5SQqV4bKlaF0aZAkiI2N5Y033sh0Reno6IiDgwPp6en4+flRu3ZtXn/9dZueR/DixYsEbw1m28FtnDx8EtxAWVFJSqUUNGU10BTwBRwBDwxPwHVAIpAG3AciwPGWI847ndFd0CGlStRtWJcOTTvQoX0HypUrZ7XPZwpnzpzhr+1/sf2f7Zw+chqltxJFZQXqCmoyKmTA60ARwAHw+m8nLZAEpAKRhi+nK044/elExoUMHGQH6jeqT/um7enQvgOlSpUyW/zNmzcnOTmZs2fPUrVqVbPVkx9Y7MoyOhqOHjV8HTqq5/xZCa0OSr+qxb9sBr6ltBQprsWvuI4ixXU4OFnnglevg5j7SqLvKrl/147oO0oirztw65IdcTESZctriLr3OtHRR7Czc6BUqRLUq1ePJk2aUKtWLapVq4ajo6NVYjeFa9eusWT5ElasWUGKlEJGhwzSmqdBQ8AUQ9bvA4fBaa8Tdn/Z4eHowaBegxg6aKhZk4IphYeHs+jXRQStCyLDLYO0DmlommoMx8jTBBXcA0LBeZ8zir8UFPEuwtA+QxnUf5BZrjo///xzUlJSCAwMNHnZ+cjnZkuW9+/D3r3w9y6ZvftAnQIVqmVQpmo65atlUCogA3cv/csLykM0aRIHt54k/Pgt0tV1iLxZjbgHjtRvCG1aSbRqabgCtcUBObt372bq11M5d+EcGf0z0PTXQEULVBwGjqscUf6upHbN2nw54UuaNm1qgYpzRpZlgoODmfbNNK7fu076oHQy+mXAK+auGDgBTiudkNZKNG3alC8mfGHSVRtv3rxJkyZNuHnzpmiQfDHTJstz52D9Bpn1G2WiIiWq1tdQ8bU0qtZPx7eEzlTV5CkpSRLhJxw5f8SR80cdSYxV0LEjdO8m8cYbkNd7DIWGhjJ07FDuau+SNCEJugLW+HnJAGmthCpQRVmvsiz9dil16tSxQiDP+vvvvxk2bhixnrEkTkiE9oA1fiGmgbRSwvUbV6qXq87iOYupXLmySYpu0qQJn332GS1btjRJeflQ7pPlnTvwy68yq34Dnaynbss0XmudyiuVMmzyCiu3YqOVHN/jyMk9Lly/YEeH9vDeUIm8NjVlbGws74x+h91HdpP8dTJ0sXZE/5FBWiPhMsmFTq06sWjuItzd3a0SSmRkJP2G9+PYtWMkf5sMra0SxrN0oPhVgfPnzgzoMYC5M+fmernbJUuWcPjwYZYtW2aiIPMd45KlLENwMMxfKHPmDDTpmErTt9WULK81R5A2KylewaHtThzY6EpGmpJhQ2H4MAkr/ew/tnv3bnoN6YW6v5q0T9MMDTR5TSo4TnXEfZM7m1ZtolGjRhatfuOmjQx5fwipY1LRjNPkzTUFEsF5rDPeh7z5K+gvqlevbnRRUVFR1KpVi3v37omJXZ4vZ8lSq4U1a+CrWTJ2LjraDkiizuvp2Nnnyd5HecqNC/bsCnLl+F4n3hsKYz+SKFzY8nHM/2E+k7+ejHqNGhpYvv4c2weu/V2Z9+U83hn0jtmrk2WZT7/8lO9Wfod6gxpsYOY86U8J1xGurPxxJZ3f7mx0OdWqVWPVqlW5Srr5WPaT5d698P4HMiqfDDoNTaJSXc3LdxKeEXtfydYVKg4GO/PxePjoQ8lizzU/m/kZ3677luS/kqG4Zeo0ieugaq/i8xGfM3b0WLNWNfzD4fx+8neSNyeDt1mrMq2z4PqWK4u+XET/vv2NKmL8+PH4+vry8ccfmzi4fOHlyTI2Ft59T+bfM3oGTEygRuN0SwWXrz2IUPL7HA/uXXbgt5USDcx8lffdwu/4dMmnJO+zsSTwSCS4Nndl/uT5DBlonmGsEz+byA97fiB5RzLY4ux518D1DVdWL1zNWx3fyvHuO3fuZM6cOezatcsMwdm8rJNlaCj07iPTsGMKXUckosyLz21s3JlQR36a6smYDyQmTpBQmGEAamhoKG16tUF9VA3+pi/fYm6AqrGKkL9CqFmzpkmLDv4rmD4f9SH5eLJp+kpaSxi4tXXj1MFTlC1bNke7qtVqihUrRlxcnHhu+awXjw3fsBG6dJd5Z0YsPT4QidJcqjdKZ9b6B6z7S8vAwTI6E/ewSktLo9ugbqiXmzhR1sHQfUYCludgP58n9tudwzrLgHqRms79O6PVmq4xMT4+ngHDB5C81sSJ0hrHqBqov1DTbXA3ctp26+rqiqenJxEREdl6f506dZAkCUmSXjjp9fP4+Pg83m/37px+QOt5brJctx5GjdYz5eeHVK0vnk2am6e3nok/xXAtUkOffjKmHCbw9Xdfk1Q/CVqYrszHpmDoND3oqe3zAHvg6nP2eYhhqJ+R5LdkYsrG8OPiH40v5CmTZ0wmrUca1DJZkf/39DEKBToAbhiSYnvg7FP75PIY6Yfouaa7xh/r/sjxvgEBAVy8eDHb758yZQqyLDNo0KBM2+fNm4e9vT1Xrz57Ejx8+JCkpFx8QCt5JlleuQIj35eZvDSG4mVFVyBLsXeQ+ei7WC7d1PL9PNNky4yMDL5d+C3qGWqTlPdSacAA4A8M45/NJPnLZGZ+OzPTzPjGSkxMZOVvK0mbmmaCyLKhBVAVuAOc+W9bKyDWhHVIkPRlEp/N+SzHu+Y0WT4tLS2NAQMG8Mcff5j06j8veCZZDhws0+vDRIq9kvsPunbhXLoG+NOrWmnCDh1kRIt6DHytIpt//pHkhHi+eLcPfWqW4/MhPUmM+//Zos3IYPns6QxuWJVe1cvw6YBu3Lp04fHr965fJfD9wQx4LYD3mtdm5TdfotNmPH79xP5dfNTxDXpVL8P4zq04smsbAAsmfkjXAH8m9uwAQFqKmq4B/nQN8OfY7h3PxHz28D988GYTulUsRuD7g7MVW24o7WBUYByzZsONG7kvb9u2bVAdMHYVCw0wFsNkGZ4YfqgPZPH+c0B/wNxDjKtCun86+/bty3VRa/9YC20BYyeGyukx8gW++u+9xYBvMYyXP2hk/S/SHCKSIggLC8vRbiVLluTevXvEx8fTrVs3XFxcKF26NGvXrsXPzw9Jkhg/fvwL9z937hz9+/fPl+PMMyXLkychMlpP884pJim856hxTPppBXqdnrDDIczdvIvhX3zDqjlfsnTGJAZPnM7CnaE8jLhH8LL/z/24as6XnD92mFlrgvn1nzO8UrkqM4f1IyPd0BL/y8xptOzel1/+CePzFes5d+QftixbAkBqchJzPxzGoEnT+e3EZcZ++xOrvvmSxLhYPpj9Pb3HfPK4HicXVzZcjMDR2eWZmHU6HYd2BDNz9Z98suCXbMeWW4V8dbTooWb+wtxfXW7ds5XEN188hdxLjQc2Azsw/EBPBXpn8f46GJKFBSS9mcSOvTtyXc7mPZtRt8vFlXdOj9EtMg+V9Pjvb1PPvStBxpsZ7Nm7J0e7OTo6otFoGDVqFGFhYRw/fpyTJ0+yZ88eEhISCAoKYs6cOS/cv06dOrRqZaGTwMIyJcvfV8s076I2+TBFnU5Lu37v4OLmToM2HXBWuVGsTDmKl3uVQkV8qd28JTcvngcgOTGB7b8vp9foj/ErWRoXN3f6j5tMYlwsh3f+BcCnvwRRu3lL7B0cKFqqDE06duHUQcNVRtyDaDRpach6PXb29viXKcsPfx/C3Stnlw56nY6uw8fg7lWI11q2ZcIPy7IVmym06JaCKeZjPfTvIeR6RibdWGARMBmoiWGUTzMge8/+zU5fX0/IiZBcl/Pvv/9CPSN3NsUx2gOUwyzPlNPqpbHvRM6uvp2cnIiLiyMoKIhJkyZRuXJlvL29CQwMJC3NQo8q8qhMbdwXLsm81sX0zxmUSjsK+fo9/t7Z1ZUixf8/Cayzyo2UZMMD33vXr6LTZvDV8AHPlHP32hUAzhwKYfV3s7lz5RLpaYb5IkuWDwCgaOlXqN28JV+82wf/MmVp2a03Lbr3ReXu8Ux5WcZsZ49P0czNx9mJzRQK+epIS4XkZMjNarkPox+CsTN6XcLw3LGK8fWbVVGIjo7OdTEJ0QnWO0bxwAxgJeYZTlkUIqMjc7SLk5MT0dHR6PV6KlWq9Hi7l5cX3t622EHXdDL9F6WmgIOj6YcuKpTPNrorFC+Y2ua/puDZa/+ifPVnmycTYh4SOHIw7foPYfqytTir3Nj++zJ2Bq0EQJIkJi1awamQvWz/fRm/fxfIll8XE7h+Gz5Fi2Wq4xG97tlfEArFcy6vXxKbKTk6yaSmSrlKlroMnfE/hHl9BKsDaDNy/4tdp9UZP8tSbo5REtAZmIn5hp06GBr5ciI5OfmF6/HoTN2vzcZkymLly0tE3LRuh8piZcujtLPn5gsaTe5eu0x6Wiotu/fFWWVYyVGrydy9SZIkajVrwZQlv/HjrsNotRkc3/s3AM6uKtRJ/3+OF/fgPhma7HWPellsppKWIpGWmvux454+noZuKMaoiCHRnstdDGYTDYV8cr9ch5u3G8QYubOxx+gehu5Dk4FuRtadHdFQxKdIjnaJiori1VdfRaFQEB4e/nj7gwcPiI+PN3GAtiVTsmzbWuLYTpcXvdciVO4evNl3EBt+mseVM/+SodFw7dwZRrVpxKXTJ/EvUxY7e3u2/76MVHUyUbdvsm/z//uTXT5zkil9OvEwMgKdNoOEmAdoMzIo/kp5AEpVqEjkzetcOHEUdWIiwcuWYGdvb5LYTOXQdmfeMMEzrCoVq/y/e0pOeQEjgFnAaSAd2I6hBddCPZGydBpqVsr9KJ7yFctb9hiFAT2AH/l/Y9huYKKRMWRBeVpJnUo5mxM0KiqKcuXK0bt3b2bPnk14eDgxMTFMmzYNV1dX0wdpQzJdRnbqBB+OteNKmD3lq+Xs8v15tv++jJ+/mAJA1wB/Vh67yKAGldHrdMz75APiHkYTdesmf69dBcDQZrVYeuBf+o+fikKhZNbIQaQkJ+Ff+hV6j5lAhRq1ARjz9QJ+/242e9YHUa5aDarWb8xfK5bSp2Y5fjtxiWadujFrxAAibl7Hq7AvfT6cQNUGhgklq9RrRNs+g5g1ciCu7p6MmPENO4JWEDhqCD1GjcPdq1CmmN+dNpM3+w5+/JleFltuZWgktq1QseLn3LeydWjWgV17dqHuZ2R2m4PhDGkNJGPohrQReNHPjBZDZ/RHymMYh27s1W0W3Pe682a3N3NdTodmHfh3z79o2hg5+CInxygNaIzhFvzp55wTjKs+K6q9Klp+mrPJfKOiovD19WXhwoW8++671K5dm6JFizJv3jw2b9780v21Wi32T1x8lC9fHm9vbx4+NMNJYGHPjA3fsQPeG6nnq3XRuKjy+oOr/GfZVx646535fVXuk2V8fDzFXi1GypWU/3dRMZU6wKOL6WU8O4rnRXz4/23vLsCYibkfgKqKiqjrUbm+2rl9+zYVG1Qk5UaKYVExU7LmMboK3i28iboWhZ1d9h+tlS9fnr///psyZZ7tnOvn58f3339Pr169AEM3oUerQi5btuyZUTwv4uPjQ0yM4QPu2rXLVmZnf3Z1x7ZtoVsXiW/HFOLjhbE4OouEaSl/LVdx+ZgzJ4+bpu+Wp6cnnd7qxPoF68mYmvs7hUxOGLmfCS4wHL9xpH/f/ia5LSxZsiT16tTjwLID6IeZeE0oKx4jl5kujB4+OkeJMjExkdjYWEqXLp2t9584YdwHtNWrzOfOOiTLMGq0zMFjWsZ+H4t7IdtaWMzWyDKs/9GN03tc2bdHws/v5ftkV0REBBVqVSD5aDLYxuKJWbsEbs3duHHuhsm6sly8eJE6b9RBHaY2zQqW1nYUfHr6cCv8Fi4u2W+DOHjwIJ9++ukzI6OioqIyrSo5bty4LDum51PPn3VIkuCHBRLdO9oxqXthzh/L46tu2bD4GAWzh3kTec6VgwdMmygB/P39+erTr3Dr5WYYmmfLUkHVU8X8r+ebtM9fQEAAY4aNQTVABbZ+XRAHrn1dWf7j8hwlSoBTp049d+o7Pz8/ZFl+/FUAEyXwglmHHpk2VeKPIAVLphbi5889SYwzw2SLBZSsh11/uDCxaxHebmPP3t0SPma6qvlg5Ae88cobOL/rbLvJQAuu/Vzp2qArg/oPMnnxX0z7gur66jiNM/W4QwtKBVU3Fe/3eZ/27drnePd//vmHBuaehdqGZWtZieRk+HKmYRXH9oOSad1LjZOLeJZpDFmGUwcd+WOeOyX9lSyYJ1HRAutzp6en07pza44XPU7q4tS8uQDXi6SDy0AXmumasSVoS46ew+VEcnIyDVs35HKjy6R/nW6d5W6NlQyu3VzpUqoLK35akePJe2VZxs/Pj7Nnz1KkSM76ZhYQL57890kqFcyeBUcOSeijVIxp68u6H9xIjBVXmtml00HoNmcmdi3M9iWefBdox+6/LZMowTBBwo4NO2ga3xRVe5VhqJ0teACuLV1pY9+GP1f/abZECaBSqTi4/SA1TtXAtacrmGY+GfO7Da5NXOlToQ/LFy03apbzsLAw/Pz8RKLMQo6yXdmysHKFxMnjEt64Mu6tIswbW4jT/zgi2+rtnZlF3rJj9XfuvN/ClzPbPVi8wI6TxxW0z/ldUq45Ozuzbd02htcdjmtNV8j9DGfmtQ1ca7nycbuP2bByQ6b+e+bi4eHBwe0H6VmkJ6raKjhu9ipzRVoj4VrfldnDZrNk3hIURq5Lsm/fPl5//XUTR5e/GLVu+CMpKbBuHSxaInPzhkzdlmnUbZlKpToaXjT0uyCIvGXH0V1OnNzjTFy0kneGSLwzBLLZI8MiDhw4QM8hPUlqlkTKzBTjJ5Mwh9vgOtEVz5OerF+xnvr161sljK1bt9J/eH/SOqeR+llq3lro7TKoxqvwve3LplWbqFq1aq6K69ixI0OHDuWtt3K+0FkBkbN1w7Ny65Zh3Z51G2QuX4LqDTRUrJdGtYbpFPbP3wPwU9US5487EH7EibBDjmjTFXTrCl27GFZtNMciZKaQkpLCzG9mMu/HeWgHaUn/MN26SfMOOM11wm6NHRM+nMD4D8e/cFIHS0lISGDal9P49bdf0QzXkDEqw7pJ8yq4fO2CXbAdM6bM4P3h7+f60UR6ejr+/v7cvHkTNzc3EwWa75guWT4pOhp274a/d8ns2g0KO5kKNTSUqaqhXFUNZSpqsbO33QaiqNtKroQ5cP2sA9fOOnDnmpL6DQ1j61u2gFz+kre4qKgoAr8LZOmypUhtJZIHJxvmZbREktcDu0C1TIW0X2LE0BGMHz2ewrmdRcTEbt26xZdzv2T1mtXQCVIGp0BDC1WeAWwHt1/dUBxXMG7UOEaPHI2Hh2mGZe3atYvZs2ezZ0/OJgouYMyTLJ927RocOQKHj8ocOSpzMVyiWCk9xcpqKVZOQ4nyWvxLaylcTIe9Q95IorIMcdFKIm8ruXvVjntXHbh71Z4r5/7C3UNF8+YtaFhf4rXXoFYtsMDjNLNLTEwkaE0Q85bN4/bd2+g76kl9K9UwntmU62gnAiHgEuwCwVCubDnGDBlDj+49UOVmTjoLiImJYdXvq5j/63weJD1A+5aWtI5phmnWnE1YURywD1RbVOi266havSpjBo2hS5cuJr/aHjduHEWLFs1yuQjBQsnyaRkZcPkynDsHZ8/BmbN6rlyRuHMLXN1kipbQU6S4FldPHV5FdLgX0uNZWI+7px4XNz0ubjLOrrJRV6fJiQrS1BIpyRLqBAXxMQriHihJilWQ8FBJ7H077t9R8iBKwqcwlCkjU6WKRPWqElWqQFzcfj766D3q16/P3Llz89wVkKncvHmTLcFbWL11NWFHw3B4xQHta1rUldSGqclKYphdJ6sRh8kYpiO7BZwH1XkVyuNKNHc01GpQiz4d+tCxQ0dKlCiRRSF51+XLl9m8ZTNrtq3hwr8XcApwIr1OOqmVUyEAwzEqCmTVNzwBw8zqN0E6L+Ea7oriqAJdtI7XGr9Gn/Z96NixI76+vmb7HJUqVWLdunVUrlzZbHXkA9ZJllmJjjYs1nXrFkRFwf1ouHNXJjpaJjpaIikZkpNAnQzpaZKhv6dsSLKyfAdZTsHOvsLj8tRJEno96LSg00q4usmoVODhIePpBX5+EkV9wb+oYfRM8eJQpgyUKAEvehSUkZHBt99+y3fffcekSZP44IMPjG6FtAU6nY6zZ89y4sQJzlw8w4nzJ7h75y5x9+PQpGqwc7HD3s0eGRkJCU2iBl2KDkdXR7x8vShZqiQKtQKVs4rAwEAqV66c745XRkYGp06d4sCBA6zdsBalh5J7d+8RGxmLLkOH0kWJveqJY5SgQZeqw8nNCa8iXpR5pQy1A2pTvVJ16tatS0BAgFFdgHLq5s2bNG3alNu3b5u9LhuX95JlTiUlwaMVNxcvXsj167eYOPEbnJzA+YnbIg8P0ze0XLlyhREjRpCens5PP/1UIH8zazQa1Go1GRkZJCcn4+bmhp2dHSqVKlNXn/v371OtWjUuX75ssmdtedH06dNJSEjgu+++e7wtPT2dlJSUx8fK3d0dpVL5+FhZ09dff01kZGSmeIXnenbWIVvzZOOdLCdRrJiKV16xTN3ly5dn165drFq1ilatWtG9e3e++uqrAjVJqoODAw4OhrkDsurQ7OvrS4cOHVi6dGm+fTaWkZHBL7/88kxDiaOjI46OjlaKKmvr1q1j3rx51g7DJuSre6GkpCSLd32QJIkBAwZw7tw50tLSqF69On///bdFY7AVn3zyCfPnz0eTzWU8bM369eupWrUqr776qrVDyZYbN25w//59q/VjtTUiWZpIoUKFWLx4Mb/88gtjxoyhR48eJll9MD+pUKECNWrUICgoyNqhmMUPP/zAqFGjrB1Gtq1du5YuXbrku+fH5pKvjtKjZ2bW1KxZM8LCwqhduzbVqlVj3rx56PViLOgjH3/8MYGBgfnumJw+fZqoqCjatm1r7VCyRa/Xs3TpUoYMGWLtUGxGvkqW1ryyfJK9vT0TJkzg4MGDBAcH06xZM86fP2/tsPKEJk2a4OnpyY4dO6wdikktWLCA999/32au0rZv306xYsWoVq2atUOxGbbxP5tNSUlJeapT86MGoKFDh9KqVSvGjBmDWp0Xlka0rvHjx/PNN99YOwyTiYuLY8uWLQwcONDaoWTbokWLGDFihLXDsCn5LlnmhSvLJ4kGoGe9/fbb3L9/nyNHjlg7FJNYsmQJXbt2pVCh3K9jbgnXrl3j33//pWvXrtYOxaaIZGkhogHo/xQKBWPGjOHbb7+1dii5ptPpWLx4MSNHjrR2KNk2c+ZMxowZ87jLl5A9+SpZ5oUGnpcRDUAGgwYN4tChQ1y9etXaoeRKcHAwpUqVsplnf7du3WLHjh02ldzzinyVLPPyleWTRAOQoaP28OHDbX7kyMKFC22qu9CMGTMYPXq0Tfyc5DU2P9zxSc7OzqSkpFhkTK2pyLLMqlWrmDhxYoEbARQXF0dAQADnzp2zyQlJLly4QKtWrbhx44ZFZnHPrUuXLvH6669z6dIlkSxzLntr8NgCjUaDvb29TSVKeH4D0M6dO60dlkV4eXnRq1cvfvjhB2uHYpQffviBkSNH2kSiBBg7dizTpk0TidJI+ebKMiYmhmrVqnHv3j1rh5IrBw4cYPjw4VStWpWFCxfm+wWk7ty5Q926dbl27ZpNXVEnJSVRtmxZzp49a9bp00xl9+7djBkzhjNnzlh98g4blX+uLG3leeXLPNkAVL169XzfAFSiRAneeOMNli9fbu1QcmTZsmW8+eabNpEoMzIyGDNmDPPmzROJMhfyTbK0hZbw7HrUABQSElIgGoAmTJjAt99+i/bRXHt5nCzLLFq0yGYadr755hsqVqxIy5YtrR2KTcs3yTK/XFk+qaCMAKpevTqvvPIKGzdutHYo2fL333/j4eFB3bp1rR3KS128eJEFCxaIadhMIN8ky5SUFFxcspq////q1KmDJElIkpSj2z8fH5/H++3evdvISHPG2g1AljpWH3/8sdFDIC39/5md7kJ54RzT6/W8++67fP311xQrVixXZQn5KFmmpaXlaCGnKVOmIMsygwYNerxt48aNVKxYEScnJ2rUqPHMJK4PHz4kKSnJVCHnyJMjgD788EOLjgCyxLFq3bo1Op2Offv2mSxGgHnz5mFvb//czu/G/H/eunWLEydO0K1btxzHFBoaSocOHXBzc8PHx4f27dtz9uzZXMf0InPmzMHDw4P+/fubpLyCLt8ky/T09FzNRh0aGkqvXr345JNPiIiIoEePHnTo0IGLFy+aMMrcywsNQOY6VuPGjTPZBBtpaWkMGDCAP/74w6TPQhcuXMi7775r1AqLLVq0oGrVqty5c4czZ84A0KpVK2JjY00W3yMnTpxg/vz5LF261ORlF1T5LlnGx8fTrVs3XFxcKF26NGvXrsXPzw9JkrJczmDWrFm0b9+ewYMHU6hQISZPnkxAQABz5syx4KfIHlM3AGk0GsaOHYuvry+enp60atWKAwcOvPD95jpWPXv25MKFC5w+fTrXMZ47d47+/fsTGBiYq5ielJqayqpVqxg2bJhRMfn6+vLVV1/h6elJsWLF+Pbbb7l//z4HDx40WYxgaOzs168fixYtwt/f36RlF2T5LlmOGjWKsLAwjh8/zsmTJ9mzZw8JCQkEBQVl+cMcEhJCw4YNM21r3LgxISEh5g7daKZqABo/fjybN29mx44d3L9/n6lTp9K7d+8Xvt9cx8rOzo4xY8Y8dwhkTmOsU6cOrVq1ylU8T/vtt99o2rQpxYsXNyqmW7duZRo08WjhNlOvA/7ee+/RoUMHOnbsaNJyC7p8kyzT0tLQ6/UEBQUxadIkKleujLe3N4GBgaSlpWW5b1JSEklJSc8MufP19c3zndxz2wAUGxvLokWLmDx5MjVr1sTR0ZFmzZoRERHx3Peb+1gNHTqUv//+O9PSrDmN0Vx++umnxw07pohpz549lCtXjhYtWpgsxvnz53P9+nW++uork5UpGOSbZJmeno5arUav11OpUqXH2728vPD29s5y30eDmJ4eKinLss0MnzS2AejSpUtotVqqVKmSrXrMfaxcXV0ZMmQI8+fPNzpGcwgJCUGj0dCkSROTxBQfH8+MGTNYuXKlyTqK79mzh2+++Yb169eL6dfMIF8lyxeN0dXpdFnu6+7ujpub2zPJJTo62uae+eS0ASino10tcazGjBnDqlWriI+PNypGc1i4cCGjR49+/AshNzElJSXRuXNnZs6cSYMGDUwS382bNxkwYACrV69+/JhAMK18lSz9/f1RKBSEh4c/3v7gwYPHP3RZadKkCYcOHcq0LTQ0lKZNm5o6VLPLSQNQxYoVsbOz49y5c9ku39zHqkiRInTq1InFixcbHaMpRUREsH//fvr06fN4m7Ex3bt3jw4dOjB58uRsdT/Kjvj4eDp06MCXX375+MpXML18lSwLFSpE7969mT17NuHh4cTExDBt2rRsTdAwYcIEtm7dyooVK4iLiyMwMJDw8HDGjh1rgejNIzsNQF5eXowYMYJZs2Zx+vRp0tPTHy9m9aLGIkscq/HjxzNv3jzS0tKMitGUfvrpJwYMGJDpPDImprCwMHr06MGPP/74uPFp9+7dTJw40ejYNBoN3bt35+2332bw4MFGlyNkg5xPjB8/Xl6wYIEcFxcnd+3aVXZycpLLlCkjb9myRfb19ZWDgoIev7d27drylClTnilj3bp1coUKFWQHBwe5WrVq8t9///3Me5KSkmRA3rVrl1k/j6nFxMTI7733nly2bFl5x44dmV5LT0+XP/roI7lw4cKys7OzXL9+ffnIkSOyLFv3WL399tvyL7/8YlSMGRkZMpDpy9vbO8cxpqeny/7+/vK1a9ee+1p2Y0pNTZXd3NyeiQmQJ0yYkKOYHtHr9XL//v3l3r17y3q9Psv3Crk2Pd8ky1GjRslLlix57mvPS5aPTtRly5Zluw5vb+/H+9lasnxk//79ckBAgNy9e3f5/v37L32/NY/V0aNH5QoVKsg6nc5qMa5atUru0KFDTsI2e0yPjB07Vm7ZsqWcnp6e4/iEHMs/yXLo0KHyihUrnvva08myoNNoNPLs2bNlPz8/+fvvv39pMrKmRo0ayVu2bLFa/fXq1XvmSjwvmDp1qvzaa6/JCQkJ1g6loJier55ZPt25NyoqCkmSuH//Pr17985yBE9BYktTwOVmgo3c+vfff4mNjTV55/bcmjt3LsHBwWzfvh13d3drh1Ng5Ktk+fTYcD8/P2RZfvyVF4cuWpMtTAH31ltvERMTw+HDhy1e97x58xg1ahQKRd75MZkzZw7Lly9n9+7dNrNOeX6Rd86CXMrtRBoFlbWngHsZSZL46KOPLP6L7uHDh2zbto2BAwdatN6szJw5kxUrVrB79258fHysHU6BI5KlAFh3CriX6d+/P0ePHuXChQsWq3PJkiX07Nnz8fhta5s+fTobNmxg3759NrGURX6Ub5JlWlqaSJYmkBemgHuao6Mj77//vsVm+9bpdCxdupThw4dbpL6s6PV6PvzwQ3bu3MnevXvFFaUV5Ztk+bwGHsE4ebEBaOTIkWzatImoqCiz17V582bKli1r1bHoYJgSrmfPnly8eJG///4bT09Pq8ZT0OWrZCmuLE0rLzUAeXh40LdvX4usMZ6dZSPMLTY2ljZt2uDm5kZwcHC+W1/KFolkKWQpLzUAjR07lqVLl5KcnGy2OsLDw7lx44ZV54K8du0aDRs25I033uDXX3994QQxgmXZbLK8f/8+ly5d4vr161y/fp3k5GTUajVxcXHExcWZ9QeqIHrUAPTrr79arQGoePHitGrVil9//TXT9twsG/HgwYNM38+fP58RI0agVCqNLjM3jhw5QvPmzZk6dSrTp0+3SgzCC1i5V7zRDhw4ICuVStnLy0tWqVSyq6ur7ObmJru5uckKhUL+9NNPrR1ivmXNEUBhYWFymTJl5IyMDPns2bNyt27d5IEDBxpdXufOneVXX31VXrZsmRwVFSV7e3tnaxioOWzYsEH29/eX9+3bZ5X6hSzZ7nBHnU4ne3p6PndiAldXV/nSpUvWDjHfu3z5styiRQu5cePG8rlz5yxWb926deXKlSvLKpVKViqVcr169Ywuq379+jLw+BdukyZN5Nu3b5sw2pfTarXytGnT5LJly8oXLlywaN1CttnucEeFQkHXrl2fO7qiTJkyvPrqq1aIqmCxZAOQXq8nODiYqlWrcvHiRcLDw0lOTkan03H//n2jy3001+mjxzhHjx6lQoUKtG7dOsvFx0wlJiaG9u3bc/LkSY4dO0ZAQIDZ6xSMY7PJEqBfv37PtBK6urrywQcfWCmigsdSDUBTp06lc+fOnDt3jqSkpEwzlcfExBhdbmJiYqbvNRoNqamp7Nu3z+zdpU6ePMlrr71GjRo1CA4OFsMX8zprX9vmhk6nkz08PDLdgru4uMhxcXHWDq3AOnDgQI6mgMsurVYrd+jQQXZxcXnmsYudnZ2ckZFhVLnPm2NSpVLJkyZNMlnsz7N48WLZ398/T85oJDyX7d6Gg+FWvHPnzpluxZs3by4671pR06ZNzTICSKlUsmHDBurVq4ezs3Om15ycnHj48KFR5T698qerqytdunQx2+qIqampDBkyhKVLlxIaGkqbNm3MUo9gejadLMEwbvjRrbiHhwfvv/++lSMScjICaNu2bdku18HBgR07dlCrVq1Mo7Xs7OyMGtmTkpKSqYuQi4sLDRs2fKZrkqmcOHGCWrVqoVKpCA0NpXTp0mapRzATa1/b5pZWq5Xd3d1lQHZ3dzf6dkwwD71eL69YsUIuWrSoPHr0aDk5Ofnxa//8848sSZL8ww8/5KhMtVot165dW3ZycpIB2dPTU96+fXuOY7t3797j23AHBwe5Tp06cmpqao7LeSQtLU2+efPmM9u1Wq08e/ZsuXjx4vLmzZuNLl+wKtu+DQfD7VmnTp1QKBT079/fZGswC6bxogagjIwM+vXrhyzLfPLJJ8+sFpkVFxcX9u7dyyuvvIKDgwNardaoK8u4uDiUSiX29vYUL16cXbt25Wp+gXfeeYdu3bplany6ceMGr7/+Ovv37+fYsWN06tTJ6PIF67LJZKnVaomIiOD06dOcPHmSGjVqoNfrqV+/PidPnuTSpUskJSVZO0zhCY9GAC1evJgPPviAZs2aPR49o1ar6dixI3fv3s12ee7u7hw8eJCSJUuSkpJCZGTk49eSkuDCBTh5Ev75B3bvhiNHDN9fuwapqYb3JSQkkJycjLe3N6Ghobl61r1w4UL+/PNPLl68+Pg2fuXKldSvX5+uXbuyfft2ihYtanT5gvVJspwHVrB/AY1Gw7///suRw4c5f+wYF8+d48qtWySlpVHE0RFvOzvcJAmlJHEqMZFa7u4k63QkA9EaDclaLSULF6ZihQpUqFWLWvXq0aBBA7EIvZVdunSJmjVrkvooa2F47hgQEMCJEyeyPcZfo4Fdux7Qr18dvH3a4eTyA9evSji7gJePHheVjKOTjAxIQIpaIlUt8SBSgdIOChfexu2b/Zk48RjdupWjcmUwZlL0Q4cO0apVK1JSUgBDIm/VqhWRkZGsXLmSsmXL5rxQIa/5PM8lyytXrhD8559sW7OGE+fPU9nJifqpqVRLTycAeBXwes5+d4AST23TAreAi8AFSeK4mxuHdDqUTk60bd+e9t260bJly2daVwXzatasGaGhoeh0ukzbXVxcaNeuHevWrXvhvrGx8Oef8McGPaEHJUpX0FGq4h1i7i+m5wfj8Cupw97h5ad0WorErrW7SVGXJCWhDheOOxL3UEHbttC9q0TbtpCdO/LIyEiqVq2aqa+ng4MDzZo1Y/v27VYbYy6YXN5IlomJiaxauZKVCxcSfe8enbRa2qel0RQwxzxCN4DtksRf7u6c0Grp3Lkzg99/n/r165uhNuFJq1evZtCgQWRkZDz3dVdXV2bPnv3MFGlHj8K8BTI7tkPNpunUbpFKzcbpODobTl+dNgOlXc5m55FlGUmSHn+fGKvg+F4nTu5x5to5e/r3h/dHSrzowjAtLY3atWtz+fLlZybzUKlUbN68mRYtWuQoJiHPsm6yjIiI4LvZs1nx66+0Awar1TTFcMtkKQ+A1QoFS1xd8SxVio+/+IJOnTpl+iESTCc4OJh169YREhJCdHQ0Li4uJCQkZEo2rq6u7Ny5k0aNGnH4MEyZJnPtpp62/ZJp0jEVF5X5T9nY+0r2rHdh9x+utG0Dn38m8cormd/Tq1cvgoODH99+P83f35/r16+LqQPzB+skS7VazTdffcVP8+bxTkYGH2g0+Fk6iKfIwDbgKzc39CVLMnfJEho2bGjlqPK3xMREjhw5QmhoKLt27eLMmTM4OjqiVqtxdHSiVZvzHD3uT/cPEmn0ZioKK9zRpqVI7AxyZdsKFSOGw+RJEk5O8P333zNt2rRnpgJUqVQoFAr0ej1169bl22+/pUaNGpYPXDA1yyfLffv28W7v3ryelMQXKSnkxfbBDZLEBFdXWnfrxtcLFqBSqawdUoGg1+sJDw9n6dJDLFmyG79SdsxYNRtXd+tPfhv/UMGqrz24f82RCR+HMGTIG4AhOWo0Gnx8fGjatCmtW7emQYMGYiKX/MdyyVKv1zNl/Hj+WLKEn9VqXrdEpbmgBiY4O7PT05ONO3dStWpVa4dUIHw+Q2bprzIffBNL+WrPf65pTdt/i2HZrLd55RUfevZsRZMmTahfvz7u7u7WDk0wr88t0oM7JSWFnh06oD92jH/VavLG4qJZcwUWpqayOS2NNg0bsmT1ajpYcamB/E6WYdgImUMntMxcG4ubp3VXlHyRZp3sqVwvlK9HFqZECYnWrcWz7YLC7J3SU1JS6NiiBSWOHmWLjSTKJ70ty+xITmZE795s+fNPa4eTb43/GE6c1TL1l5g8mygBXNzcKVlez/SVD5kxU2bNWmtHJFiKWZOlLMv079KFsqdP80NKCrba46wasF2tZkS/fhw7dsza4eQ7y1dA8A4tY+fH4OBk9Z5s2eJTVMfExTGMHiNz+rS1oxEswazJ8tvAQGJCQ/kxLc3k3YHqYOhiJAHLc7CfzxP77c7BflWA5cnJ9GjfPleTzQqZXb8OH38iM3punEW6BJmSfxktQ6bF072nzFMzvQn5kNmS5Y0bN/jmyy9ZnZyMuR6MTsHQ5WfQE9s2AhUBJ6AGsOepfR4Cxo4abwX0TExk8ocfGlmC8LRxH8t0fCcZ/9LGr9BoTa+1TKN4hXTmzbetRC/knNmS5ZQxY/gkLQ1/c1XwHKFAL+ATIALoAXTAMNzRVKZpNGzftInw8HATllownTkDx0/KtO1jnnV7LKXnmETmzPn/BB1C/mSWZBkZGcmePXsY9tTY3+yKB7oBLkBpYC3gh+HWeXwW+80C2gODgULAZCAAmGNUFM+nAkampfHDN9+YsNSCafFSmTe6q7Gzz/1V2dqFc+ka4E+vaqU5e/gfPnizCd0qFiPw/cFcPnOSrgH+z3wFjhpigk8BRYrrqFBLw4YNJilOyKPMkiw3bdxIF1nG1cj9RwFhwHHgJIZb6QQgiKwTXwjw9Jibxv9tN6UhOh3r1q8nDwyrt2mbNkHj9qa5HOs5ahyTflqBTqfj0I5gZq7+k08W/PL49a7Dx7DhYgQbLkbw+Yp1OLuq6D9uiknqBmjYPoU/NojzIT8zy+PEA3/9RTcj70keYEiKPwOV/9sWCCx9yX5J/30Vfmq7L3DPqEherAjgp1Bw7tw50VndSLdvg6SQ8Slq3N3Hi+h1OroOH4O7VyFea9mW11q2BeDV6rUBSE6IZ/6E0Qyc8Bn+ZUw3dVpAbQ3LvzRZcUIeZJYryyuXLlHFyH0vA3qg0hPbvADvl+z36Hf6063u8nO2mUIVSeLKlStmKLlguH4dipc1baIEUNrZ41P0xU/KF037mHJVa9CqR1+T1uvprSddAy+YU0PIB8xyZRmbmIixKyC/6EbmZT9W7oAbEP3U9mgwSyOTj0YjuhDlQnw8qNxN3/lcoXjxr8Y964O4fPoE327Za/J6ATy8ZGJjJVxczFK8YGVmubJ0cXLC2F+wFTAE9WRb8wMMjT4v0wR4eiWXUKCpkbFkRW1nh6ursU9lBWdn0KRZbqhg5K0bLJv1GaMDF+Dm+bzpo3MvNUVCnBL5l1mSpV+RImR/NZXMCgO9gdkYEmYMMA2y1Vg0AdgKrADiMDzrDAfGGhlLVu4olfj5WXtiOdtVpAjERltmCSidNoPvxo2kdc/+VG3Q+PH26YN7mKwObYZESjJ42Np4XiHbzHK21n/jDf7JxXT6C4GqQG2gLobuQNmZJK0psBpDFyK///4dTObnn6agBU6kpVGnTh0Tl1xwVKkCd28oTXZ1uf33ZcwaPpAMjYauAf5s/33Z49f2b17PtXNn+PPXRZm6Dj24Z+yv9GddO29P5SqyUWv4CLbBLFO0hYSEMK5jR44nJpqsTD/gewydzsEw3PHkf/9eRuZRPFnxwXC1CrALaGlELNuB2dWrc0AMCs6V11vKNOgeR53m6dYOJdf+WODGKx4qvppp7UgEM/ncLL8HmzRpQoqHB4fNUfh/TmBoDHp6uOPLPHxiP2MSJcB8NzdGTJxo5N7CI+8OljiwwfYf8ul0cGCzC4MHWTsSwZzMkiwlSWLq7NmMd3N7Yet2dkVh6PpzH8OzzKxG8FjCLuC2lxddu3a1ciS2r2tXuH3JgWvnrD8Tem7sWedCrZoS5ctbOxLBnMz2hKVX7944BgSwwC53vZP8+P+VoIxphy7mVDzwvkrF/F9/xd7etn/A8wInJ5j1lcTymZ4YOTLW6uJjFGz8yY1vAsUkwPmd2ZKlJEms3LiRb9zcOGiuSixIB/R3daXru++K5U1NqF9fKFtCyfof3KwdSo7JevhpshejR0lUMnUropDnmLXtrnjx4gRt2UJPlYqj5qzIzHTAQBcXlA0a8OUca17b5k/LfpU48bcr+zY5WzuUHFk204NCLvZMniSuKgsCs3d0aNy4MauDg+msUrHVBtfiTga6ubqS1KABf2zdijIXXaKE5/P2ht1/S2z8wcMmEqashxWzPHhwzZmN6yXRXaiAsMh/c/Pmzdl28CAfFC7MDAcHbGWa1/NAA5WK0v37s2HHDhwcHKwdUr5Vpgz8EyKx/VcP/ljohj6PPsNMVUt8P64Q6ghn9uwSQxsLEov9TqxRowZHz53jVPPmNHBz44ylKjaCBphtZ0crNzemLF7Md4sWYZfLhirh5cqUgaOHJeKuujJjsAMPI/PWVfyVM/aM7XCBCsVj2b5VQiwnX7BY9AaicOHCbNq5k48WLaJjoUK84+LCHUsG8BJ6YK0kUUml4lTr1py8dIleffpYO6wCxdNTR4vX53D3Si0mdXfhz59VZGis+/gmMU7Bz597Mn+cN506hLE1uBa//PITen3eXYVSMD2rPG3p07cvF27fpvTYsdR1c2OAqyunrBHIf5KBxZJEgErF4tq1+W3XLtZu3UrRokWtGFXBc/78eRo2bMj+/fs4c+YfzpxSkXpHxZi2Rdj+uyvpFpx4AwzdglZ/6864jkWoUsKJSxckliwZwz///MPmzZupW7cux48ft2hMgvWYZbhjTiQnJ/PLkiUsmjsXp+RkBiQn87ZezytmrjcN2A8EubqyVa+ndcuWjP30UzHe2wq0Wi1z587lu+++Y8aMGbz33nuZXj9/HmZ8KbNrFzRql0qTt1IoWyUDc7QX6rRw9ogjBza5cu6oAwP6w4RPJJ43Z0pwcDCjR4/mrbfe4ssvv8TNzfa6PwnZ9rnVk+WTDh8+zOpffiF482ZcMzJordFQPy2NBkDJXJadBvwLHJYkQtzdOZieTu2qVek2ZAg9e/XC09Mz1/ELORcWFsaQIUMoWrQoP/30E8WKFXvhe+/fh2XLZH4LkomJgdrN0wiok07FOhq8Cht/Sxx5y44LJxy4cNyRf0McqVpNZlB/BT178tIp1xISEvj000/ZtGkTX375JQMGDDA6DiFPy1vJ8klnz55l3969HNm1iyPHjhGXmEgFZ2cC9Hr8U1PxzcigCIbZiz0xDIlMxZAUk4F7kkS0szM3HBy4qNMRrdFQrXx56r3+Oo3feIMWLVqIKwErysjI4Ntvv2XhwoXMnDkzx0nm+nXYtg327JcJPRhPWtouXq3WGb9SGbj76PD20+HoLOPkImNnB5p0CU06JCcoiH+gJD5aScR1e65dOIhXoUK0bFGNN16XaNcOfHxy/nmOHj3K8OHDKVmyJAsXLqREiRI5L0TIy/JusnxacnIyly5d4sqVK0RGRhJ56xbx9+8THxcHOh1pGg1ODg44qlR4eHlRpGRJ/Pz9KVWqFAEBAZQsWRLJBvt55kdHjhzhnXfeoXLlyvz444/4GJOdnjBnzhzOnLnEkCFLuX4d7t6FiCiZuDjIyJBJ14CjAzg7S3h5QvFiEsWKQUAAHD26hJCQXaxbty7Xn0ur1TJv3jzmzJnDtGnTGD58OArRCTO/sJ1kKdi+1NRUPv/8c3777TcWLFhA586dc12mTqfj1VdfZdOmTVSrVi3H+6enp/PKK69w4MABypUrl+t4AG7cuMHw4cNJTk5m6dKlVBJjIfMD80zRJghPCw0NpWbNmly/fp2wsDCTJEqAP//8kzJlyhiVKAEcHR0ZPnw48+bNM0k8AGXKlGHnzp18+OGHtGzZkokTJ5KebvtzdhZ4siCYkVqtlidMmCC/8sor8s6dO01eftOmTeUtW7bkqoyYmBi5cOHC8oMHD0wU1f9FRUXJ/fv3l6tUqSIfOXLE5OULFjNdXFkKZhMSEkLNmjWJi4vj9OnTtG7d2qTlnzp1ioiICNq3b5+rcgoVKkSPHj346aefTBTZ//n6+rJy5Upmz55Nz549GTZsGMnJySavRzA/kSwFk0tKSmLo0KG8++67LFmyhMWLF5ul58G8efP44IMPTNKIMm7cOH788UdSU1NNENmz2rdvz5kzZ5AkierVq7Nv3z6z1COYj0iWgkmFhIRQo0YNXFxcOH36NM2aNTNLPdHR0Wzbto2BAweapLwyZcrQsGFDfvvtN5OU9zweHh789NNPrFy5kuHDh4urTBsjkqVgEunp6UycOJE+ffqwYMEC5s2bh4sZp+T58ccf6du3Lx4mXHt2woQJzJ071+xjvhs1asSpU6fw8vKiRo0a7N+/36z1CaYhkqWQa+fOnaN+/fqPW7rbtWtn1vo0Gg1Lly5l1KhRJi23bt26+Pj4sHXrVpOW+zwuLi7Mnj2bRYsWMWjQIIYNG4ZarTZ7vYLxRLIUjKbX65k3bx4tW7Zk/Pjx/PHHHxQqVMjs9a5Zs4a6detStmxZk5c9fvx45lhwNvxWrVoRFhYGQPXq1QkJCbFY3UIOWbs9XrBN169fl5s2bSq3adNGvnv3rkXrrlu3rrx3716zlK3X6+WKFSvKhw8fNkv5WdmxY4dcsmRJ+b333pPVarXF6xeyJLoOCTm3dOlSGjRoQL9+/dixY0eWk1+Y2sGDB0lNTaV58+ZmKV+SJEaPHs13331nlvKz0qZNG86cOUNaWhqvvfba4ytOIW8Qwx2FbIuLi2Po0KHcuXOH1atXm+U2+GW6detGu3btGDJkiNnqSEtLo2zZsoSEhFjlMwJs2rSJUaNGMXr0aD7++GMxxtz6xHBHIXuOHDlC3bp1KVasGAcPHrRKErl16xahoaH07t3brPU4OTkxdOhQ5s+fb9Z6stK5c2dOnjzJvn37aNOmDREREVaLRTAQyVLIkk6nIzAwkO7du7Nw4ULmzZtntYXbFi5cyLvvvouzs/lXgPzggw8ICgoiJibG7HW9iJ+fH9u3b6dDhw689tprBAcHWy0WQdyGC1m4ffs2/fr1w8XFheXLl+P3vOnCLSQlJYVXXnmFEydOULx4cYvUOXLkSIoVK8aUKVMsUl9WTpw4Qd++fWnevDnfffedWfuwCs8lbsOF59u4cSMNGjSga9eubN++3aqJEmD58uW0bNnSYokSDN2IfvjhB9LS0ixW54vUqVOH06dP4+TkRN26dTlzJi+vj5pPWbc1XshrUlNT5aFDh8qVK1eWw8LCrB2OLMv/785z9OhRi9fduXNn+eeff7Z4vVlZu3atXLRoUXnRokXWDqUgEV2HhP+7evUqDRo0QKfTcfz4capWrfrSferUqYMkSUiS9L/2zjysiWv9498sQJKZsG8BVLBaBLS2BeWCiFbEatX2Z929V69tFa9LH2tta91arBbFWq1tr3p7rcUuUte6VEVFRL0gti64IbjvyL4LgSTv748gFRXJMskEzed5zqNMZk7e850zb2bOOfO+SEhI0Ol7XF1dG45JTk5udv+kpCQ4OTmha9eunNqhiy3vv/8+li1bBjJwtMoUdg0bNgxHjhzBmjVrMHr0aLO8+WOO82zpWJ2lFQDA9u3bERkZiYkTJ+L777/XaxJl9uzZICKMHTu20fbly5fDxsYGly5darS9sLAQFRUVOte/fPlyTJ061SA7tmzZgoCAAEgkErz44ovYv3+/XrZERESAZVns27dPZ3t1sQtoWh9d7GrTpg0OHz4MZ2dnhISE4Ny5cwbbpysPtyMtLQ0DBgyAXC6Hq6sr+vfvjzNnzjTsr+95tnSszvIZR6VS4eOPP8aHH36IpKSkR9LQGkJNTQ3GjBmDDRs2QKVSGVXXhQsXcO7cOYMiq6elpWHEiBH46KOPcOfOHQwbNgwDBgxAdna2XvVMnTqV00XqXOljZ2eH5cuXY+7cuejduzfWr1/PmY26EBUVhU6dOuHmzZsNY6jR0dEoLi42qx3mwuosn2Fu3bqFnj17IicnB0ePHn0kNUNpaSmGDBkCmUwGX19frF+/Hp6enhAIBPjggw+arPfs2bMYPXo04uPjjbZx2bJlmDJlCmxsbFBbW4v3338fHh4ecHR0RHR0NA4ePNjksQsXLkT//v3x1ltvwdnZGbNmzUKHDh30fvd76NChyMrKavKNGn3t4lIfABg1ahQOHDiA+fPnY8KECaitrdW7Dn3bAGgDG8fFxcHR0RHe3t5YunQp8vLycPjwYUObYtFYneUzSkpKCv72t79h4MCB+O233x6bN33KlCk4ffo0/vzzTxw/fhz79+9HWVkZEhMTn+hwQkJCEB0dbbSNJSUl2Lx5M8aNGwdAOzu9detWJCUlIS8vD3PmzHniAvVDhw4hPDy80baIiAi9g1WIxWJMnjwZ33777WM/19curvR5kA4dOiAjIwPl5eXo1q0brl27ptfx+rYB0L4k8GDG1Pvh8iQSid72twSszvIZg4gQHx+Pt99+Gxs3bsSMGTMeu19BQQESExMxc+ZMBAUFwcXFBfHx8WZdRvPf//4Xb775JlxcXFBcXIyVK1di1qxZeOmll2BnZ4cePXo0+WZLRUUFKioq4Obm1mi7h4cHbt++rbctMTEx2LJlC/Ly8hpt19cuU8KyLBITEzF+/Hh069YNe/bs0ek4rtqwf/9+tGvXDlFRUYaYb/FYneUzRGFhIfr06YPDhw/jxIkTCAsLa3LfCxcuQKPRNErj6uTkBBcXF3OYCrVajVWrVmHy5MkAgJycHKhUKnTs2FGn4+/PXj+cK56IDMof7+joiFGjRuE///lPo+362mUOYmJisGnTJkyYMAHx8fHNzuRz0YbS0lJ89tln+PHHHyEWiw2ux5KxOstnhMzMTISGhiI4OBjbt29vNu5kUxeYWq02hXmPsGXLFrRv375h+ZK+S3fs7e0hl8uRn5/faHt+fj68vLwMsmnatGlYtWpVo7trQ5cUmZqwsDAcO3YMe/bswciRI3Hv3r0m9zW2DRUVFRg0aBA+//zzJ/4At3SszvIZIDExEf369cOSJUuwaNEinSLY+Pv7QygUIisrq2FbQUEBSktLTWjpXzy8XCggIABisRhnz57VuY7u3bsjPT290ba0tDRERkYaZJOfnx9CQ0ORmJholF3mwtXVFXv37oWHhwfCw8ObHMc0pg23b9/GgAEDMGvWLAwZMsRIiy0bq7N8irm/LGjevHlISUnRa/mNm5sbRo4ciUWLFiErKwtFRUWYO3cuGIYxocVaTpw4gfz8fPTt27dhm5OTEyZOnIiFCxciMzMTSqUSu3fvhre3d5OLsmfMmIGdO3di7dq1KCkpQXx8PLKysvD+++8bbNu0adOwdOnShrsxQ+wyJ2KxGMuXL8ekSZMQHh7+2KyShrbh9OnTGDZsGFasWNEwYZWcnIyPP/7YZO3hk6dzcMEKCgsLMWLECMhkMhw9etSgxF73o/wEBwdDoVBg+fLl2Lp1a7PHqVQq2NjYNPzdvn17uLi4oLCwUKfvXbZsGaZOnfrIHfCSJUsgFovRp08fVFZWonPnztiyZUuTDjwyMhLr1q3DnDlzEBMTgw4dOmDHjh2NxmH1JTIyEjKZDPv370fv3r0NsstYfQwhJiYGQUFBGD58ON59991HJvb0bUNNTQ0iIiJQUVHxyFhnU5OGLR4+XrK0YlpOnDhBfn5+NGPGDFKr1ZzW7eHhQYmJiQ1/BwcHEwACQD/88INOdbi4uDQcs2/fvkaf3blzh1xdXamsrEwvuwyxozlbmuLnn3+m1157zeLs0oVbt25Rly5dKCYmhpRKpc7HcX2eWyCxVmf5lPHTTz+Rp6cnbd261ST1P+wsuWbu3Lk0ffp0k9XPBbW1tdS6dWvKysri2xSDqK6upjFjxlC3bt0oNzeXb3NaClZn+bRQW1tLkydPphdeeIEuXbrEef25ubkNdwkATOLQampqyMvLiy5fvsx53VyzcOFCmjBhAt9mGIxGo6FFixaRr68vZWZm8m1OSyDWGvz3KaCoqAhDhw6Fi4sLEhISzDIJYwp++OEH/P7779i8eTPfpjRLSUkJ/P39kZWVBVdXV77NMZikpCS88847WLFiBd544w2+zbFkrMF/Wzo5OTmIiIhA165dsX79+hbrKAHg66+/1im6kCXg5OSEYcOGPbJIvaXRt29fJCUl4b333kNsbCzf5lg0VmfZgtm1axd69eqFBQsW6Lx+0lJJTU2FQCAweA0kH0ydOtViIqkbQ6dOnZCeno7du3dj/PjxqKur49ski6TlXl3PMFT/fvfEiROxfft2DB48mG+TjEbXmJWWRPv27dGlSxds2LCBb1OMRqFQ4ODBg7h37x769euHkpISvk2yOKzOsoVRU1ODf/7zn9ixYwf++OMPBAcH822S0Vy7dg1Hjx7F8OHD+TZFb6ZNm4YlS5ZY7GuP+iCRSPDzzz8jIiICoaGhyMnJ4dski8LqLFsQt2/fRmRkJOzs7JCSkgIPDw++TeKEr7/+GjExMS0ytFfPnj0hkUiQmprKtymcIBAIEBsbi/nz5yMqKuqpaRcn8Dsbb0VX0tPTycfHh7755hu+TeGU8vJycnd3b9Hr/X788UcaOHAg32Zwzv/+9z/y9vamtWvX8m2KJWBNWNYSSExMxODBg5GQkIApU6bwbY5RZGZmYvbs2Q2xEhMSEtC3b1/eU+0aw4gRI5CZmYns7GwQEZKTkzF06FC+zTKabt264eDBg4iLi8P8+fP5Nod3rOssLRgiwuLFi7F69Wps374dAQEBfJtkNNu2bcPw4cMhFAoRHR2NGzduYPXq1S1+7PWzzz7DoUOHcOXKFZSUlKCyshJVVVWwtbXl2zSjKS4uxqBBg9C2bVt89913jd5rf4awrrO0VJRKJcaMGYMdO3YgPT39qXCUgHYBvUgkQnV1NXbs2IHLly9j5MiRWLt2bYtcspKXl4f58+dj2bJlOHr0KK5evYrS0lJIJBIUFRXxbR4nODs7Y+/evVAqlejXrx/Kysr4NokXrM6SZx53QRUWFiI6Ohq2trZISUl5JDVCS6a4uLghoRYRoaKiAhcvXsSkSZPQrl07s8XL5ILU1FT4+PhgwYIFKC0tRWVlZcNnYrH4qXGWgDaT5C+//IKIiAhERETgxo0bjT4/duwY0tLSeLLOPFidJY+cPXsWQUFBuH79esO2M2fOoGvXrujVqxe+//77p+Ix7kFyc3Mfm/5VIBBg2bJlj02cZqn07NkTkyZNeuxjqUAgMGnINT64P1M+depUdO/eHSdPngQAXLp0CVFRURg/fvxTsYSqSficXnrWCQ0NJaFQSL6+vlRaWkq7d+8mLy8v+u233/g2zWSMGDGiUUAOAMSyLH333Xd8m2YQGo2GRo8eTSzLNmqTvb09bdq0iW/zTEZSUhIpFApat24deXt7k1AoJLlcTuvWrePbNFNhjTrEF1u2bGm4wOzs7Mjf359at25NJ0+e5Ns0k/LKK680cioMw1BcXBzfZhmFSqWiAQMGEMMwDe2SSqW0atUqvk0zKYcOHSIHBweytbVtaLe7uzvV1NTwbZopsC4d4oPa2lpMnjy5YYxLqVTi1q1bCAkJwYsvvsivcSbmwUdThmEwYcIEzJw5k0eLjEckEmHz5s0IDg6GTCYDoD2nBQUFPFtmOurq6jBnzhzU1tY2jEEDQFVVFb7++mseLTMdVmfJA/Hx8SgvL2+0raqqCnv27MGCBQt4sso83H/nmGEYDB48GF9++SXPFnGDra0tdu/eDX9/f0gkEmg0Gl5yh5sDIsKoUaNw7NgxVFdXN/qsqqoK8+fPfyrfLbc6SzOTm5uLxYsXPzYRVFVVFT755BNs376dB8vMQ0VFBSQSCXr27Ik1a9bwbQ6n3M/N4+XlBaFQiNzcXL5NMgl3795teCqys7N75PO6ujp8+umn5jbL5FgXpT+AWq3GtWvXkJOTg1u3buHunTvIv34dtTU1KC0pAdRqQCSCg6MjbCUSuLduDQ8vL/j4+MDf3x9+fn7NJpgfNmwYtm3b1ujRxc7ODiKRCIGBgfjoo4/wxhtvWPQsOBHh+vXryM7Oxs2bN5F7+zbyrl1DbU0NykpLtTqJxXBydIQdw8DD1xfePj5o1aoV+vbti9DQUKSkpFh0G40hNzcXL7/8Mry9vTFv3jzcvHmzoS8pq6tRUVYGaDQQ2trCwd4eErkcirZtoVAo0KZNGwQFBbWI5WK5ublYs2YNli1bhtraWlRUVDR8xjAMTp06heeee67J41UqFa5cudLQj/Jzc7Ua1dSgsrwc0GggsrODvVwOmaMjFH5+UCgU8PPzQ2BgIJydnc3RzPvMe6adZUFBAZKTk3EkJQVHUlORfeMGfCQSBAiF8KmthXt1NTyI4Fi/vxzA/e5QDiAPQJ5Uitt2dsgmwvXqarTz9kZYZCT+1qsXoqOjoVAoGr7v+PHj6NGjR8Ndpb29PYRCId5++21MmTIFfn5+5mu8HlRVVSElJQX/S0lB2r59OH3pEjxsbREoEqFNvU6eRLifP5IFUAntiH8RgHyhEHlSKS6KxThcWQmJrS26duyI8D59ENmrF7p3797i3wopKyvD/v37cbi+P525cgUiIkSzLHyUSnhWV8MD2j4E/KWRBn9plCuV4oqtLc7X1qIGQGjnzgjr0wc9o6IQFhYGkUjEU+uejFqtxq5du7BgwQKcO3cOSqUSRIT+/ftj27ZtDfsVFRVh3759SEtORtqBA7h46xZ8pVJ0AOCjVEJRUwM3aLURApAAuAdAjXqNRCLckUpx2cYGWUolIBYj9KWX0K1vX/Ts1QshISGmjOk675mbDb9x4wYtnD+fQjt0IHeplEba29O3AB0HqBYgMqLUAXQKoJUAjZbLyUMqpeB27eizuXPp8uXL1LFjRxKJRCSRSKh37960a9cuzrMvckVlZSUlJCRQv/BwcpJIqL+DA30hFFIaQNUG6lMJUDFA5QAlAzRPLKaejo7kIpPRsH79aOvWrVRbW8t303WmtLSUVq1cSVEhIeQskdCb9vb0lUBAf9T3pTwj+lIJQLsAmisWU5iDA7mxLI0eNIh2795tsX2GiOjMmTM0duxYkkgkDVkdv1q6lLp36kSuUikNr7/eMuuvF2OutwKAtgM0w9aWgh0cSOHgQONGjqTU1FTSaDRcN+3ZWDqk0Wjo999/p+jQUPKUyeg9iYTSAFIZebKaK2qAjgL0oZ0dOdnZkcTWlv7xj3/QnTt3+JakSS5evEgTx44lV4ahoXI5bQOoysQ6FQP0E0DR9R1+1gcfUF5eHt9SNMmZM2do7NCh5CKV0miGoSSAakysUT5AqwUC6u7gQK2cnWnBp59ScXEx31I0yYEDB+ilwECSiMU0XiajFA6cY3PlFkDfCgTUxcGBnvPwoKVffEEVFRVcNenpd5abNm2iwFatKNzenjbB+LtHQ8t5aH8FX7G3p/YKBf3800+m+PUzmKtXr9LIgQNJIZNRnFhMhTzpdA2g6RIJuTMMTY2JoaKiIr6laSArK4tef+UVasMw9JVIRGU8aZQD0ESplNwZhmZNn86lQzCa48ePU1TXrtSeZek7gYCqANLwoNEpgP7JMOQpl1PcvHlUXV1tbNOeXmd5+vRp6v7iixQql9Mhnjp1U+UoQD3kcgrx96c//viDV52USiXNnTGDPBiGvhCLDX7E5roUQ3tHrrC3p5XffsvrD0tVVRW9969/kUImo5VCIW8/uA+XuwD9SyolHycn+uXnn3nTh4iopKSExo0aRa0Zhn4UCEhtAfoQQNcB+gfDUFt3d9qxfbsxTYwFV2JZCiqVihZ8+ikpWJZ+Egh4+VXTtWwGyEcqpZnTpvEyVnfmzBnq3K4djWBZo8bXTFkuAtSDYahPWBjdvn3b7BplZGTQ897eNEEmoxIL0ONx5TRAISxLQ/r25eVOPDk5mdq4udGHEglVWoAejyvpAAUwDL0zcqShd+Kx4Fo4PiktLaV+kZH0GsPQXQs4QbqUIoCGMAz1CA6m/Px8s2m1betWUrAs/SoQ8K5Bc0UN0GKxmFq7uNCxY8fMptHaNWvIi2FolwVo0FypBWiWrS219/Ki8+fPm02jr5YsoTYMQ4ctQIPmyj2AJkkk9GK7dnTjxg19mxoLUwjIB3l5edTR15c+trOzmEcAXYsGoM/rO7oBJ1Fv1qxeTb4MQ6csoO36lN0AKViWDhw4YHKNvoiLowCWpUsW0G59yq8CASns7enEiRMm1+ijqVMphGXptgW0W5+ysv6H98KFC/o0NxamEtKcFBYWUpCvL31hY8P7iTCmfCcSUXuFwqSz5b+uW0d+DENXLaC9hpQj0DrMjIwMk2n07+XLKdCChyaaK0kAeTs4UFZWlsk0mjdrFnVlWd4muYwt64RC8nVz0+fmJBYmU9NMqNVqejUigubY2fF+ArgoS8Ri6ta5s0nGME+fPk0KlqUcC2inMSUZoDYuLiZZXnT48GFqxTAt7m7p4bJeIKAOPj5UXl7OuUbbtm6l9ixLxRbQTmPKtyIRhQYGklKp1KXZseBcSTOzOC6O+jKMSR69g/FXKLEf9DjO5YHj9hnwvcNlMpo1fTqnOtXW1lJHX1/azPEYJV8afW5jQ//XuzenGlVWVpKvmxulPiX96D2JhMaNGsWpRvn5+aSwt6fMp0SjUbpfa7HgVEkzc/PmTfJgGLrB8Yl78ATObuKzrwASQztb+7jPK4w4gQUAKRiGcnJyONPqqy+/pEEsazaNNgPUASA7gDpDezfIpUZ1AAUxDO3Zs4czjWZ/+CHFyGRPTT+qAqgNw3A6KRYzejTNNsFT3OM0+h9A/QFioXWKr0E788/1tebJMHT58uXmmt6y41kujYtDTG0tWpnxO2sAjAGwAcCjyRG4wRXABzU1iOcocotKpcKSBQsQ/0COGFOSBmAEgI8A3AEwDMAAANkcfocYwMKqKsR9/DEn9VVWVuK7FSsw/949TuprDnP0IxmAT+7dw6LZszmpLzc3F1s3b8ZMpZKT+pojCkAnADcBnKrfFg2gmMPvcAUwVanElzqERmyxzlKpVOKXn37CRAMzApYCGAJth/IFsB6AJwABgA+ecNxZAKMBxBv0rbrzjlqNHdu3c5LAa+fOnQhSq9HewONrAbwPwAOAI7Qd9uAT9l8IoD+AtwA4A5gFoAOAJQZ+f1P0B3Dj4kXk5OQYXdeviYl4VSCAu4HH66uRufrRSCIcPnwYeXl5RteVsHo1Rmk0YAw8Xl+NPADE1e/rDWAptMFrDhv4/U0xTqXCxg0bcK+ZH8oW6ywzMjIQIBZD0fyuj2UKgNMA/gRwHMB+AGUAEvHkizoE2pNsahwAhNvY4ODBJ3Un3di7bRveeCB8lr58AGArgCRoO+scACOfsP8hAOEPbYuo384lQgADVSrs3bPH6Lr2btqEN4y489ZXI3P1IymAXmIxDhw4YHRde7dswf/V1Bh8vL4aXYf25uU+DvX/Sgy24PG4AnjBxgYZGRlP3K/lOssjR9DNwM5dAK1TnAkgCIALtL/whncD0xBRXo4jHDjLjEOHEE5k0LHFAFZCe3f4EgA7AD2gfbx+HBX15eFojB4AbhtkwZMJr6lBxr59Rtdz9NixRxy8ruirkbkJr6hARmqqUXUQEY6fP4+uBh7PhUb7AbSD9vGca7pVVCAjPf2J+7RYZ5l79SpaPyalqi5cgDaOYOAD25ygdZqWRCsi5F69anQ9dwsLDR7XzYF2TK2jjvvfd8mCx2x/eBsXtAKQe+uW0fUUVlTA08Bj9dXI3LQiQu61a0bVUVZWBplIBKmBxxurUSmAzwD8CO14Ndf4qNXNXmst1lneq6gw+MQ1dY+lNtQYE8ECqDLi8fk+1bW1nGvVFPbQBrjNf2h7PgAvA214EgzQ7FhTc9TV1UEoEBh8MRh2z24+GAD3jJzcq66uhsyI4MPGaFQBYBCAzwGEGVHPk2Cg9SlPosU6SxcvLxQZeKw/tA3PemBbAbS/XpZEPgBXhaGjsn/hLJcbPIMYAO0v+Vk9jukO4OEHmjQAkQba8CQKALgamYLBxsYGQqEQhs7xGqKROSkA4Opp6H2zFmdnZxQ/kApFXwzV6Da0KylmQTshayoKALh6ez9xnxbrLJ/r0AFZjGHzcm7QDiwvgtZhFgGYCxg8y2cqztva4rmOxj/ctW3TBucNPNYJwERoZ7gzASgB7IZ2dvLRlGtaZgDYCWAtgBJox4OzoJ0J5ZpsgQBtAwKMrqetQmHw0iZDNDIn2WIx2gYFGVWHnZ0dWKnU4HFYQzQ6De2ysxX4azIsGQA3i8Uaky2ToW2HDk/cp8U6y549e+KAEfk2voV2DVcwgC7QLkNhdThOBe3YW/f6v9tDO5tmClKkUvTs1cvoeiL790eqETlulgB4A0AfaDv9ZwC2oOkfl0gA66C9MDzr/78DjceIuSJVLkfkq68aXU9kdDRSBYaPquqrkTn7USrLIpKLfhQRgVQjjtdHoxpoV1CkQzvOKagvplpBkCoSoXv37k/eibOl/TwQ8vzznL6a5gFQ4kNvFQDmfwWLoM1R0s7Tk5N8K+fPn6fWDGOSNBp8alQAkCvDUFlZmdEaHTx4kDrL5Zzrw7dGlwDydnLiJNbApk2bqI+9/VOnUTpAga1aNRdgOhZGK8gjP6xZQ/04fIXvYWfJZxnJMLRsyRLOtHolOJgSW0DsSn3KJzY2NOmttzjTqJOv72Nfy2zJZaJUSp/OmsWJPnV1ddTK2Znz98L5LoMZhv79zTfNNT8WnKjIEyqVil5s1462GukEcvHXrxMAms7zyUsFqL1CQTU1NZxpdfToUfJlGJMnHzNXuQ6QB8tyGs5u165d1EkuN3liLXOV0wB5Ozpycud9n7UJCdRDLrfoDAT6lFSAnvfy0iXyUCw4U5Enjh49St4mDKZh7pIHkC/DUHJyMudaTRw7lsaaIFCEuUstQBEsS8u//JJzjYb060cfPgXh/qoA6sSytI7j3DwajYZe6dKFFrfw2LEEUCFAfgxDe/fu1aXpseBUSZ749/Ll9DLLWmyOFF1LJbRO4PPYWJPoVF1dTcH+/vSVWMx7Ww0tGoAmSCQ09LXXTJLErLS0lJ739qafhULe22poUQE0RCajiWPHcq4PEVFubi61cnamXS14WKcaoCiWpU9nztS12bEwiZo8MGfGDOoil1ORBZwIQ0o5QD1Zlt4dN86kmQzv3LlDz3t708oW6DA1AE21s6MeL79MVVVVJtPo4sWL1NrFhda3QGdQB9BoiYTeiIoyaRK8kydPkpeDA+2xgDbrW6oB6s8w9PaIEfpca7EwmZo8MH/uXGrPMHTWAk6IPuUSQEEsSx+++65ZUr7euHGDAlu3phktKF9RFUBDZTKKCg01S57s8+fPk5+7O8W3oMfNEoD6sCy9+eqrnI53N8Wff/5JPk5O9F+RiPe261ruAvQ3lqVxo0aRSqXSp7mxMJWQfLFp40byZFn6t0jUIgahE4RC8mQYSvj+e7PqVFpaSn0jIqg3y9JNC9DhSSUToI4sSxPGjDFryuC8vDzq1rkzDWIYyrcAHZ5U0gBqx7L08bRpnCw305Vr165R5+eeo7EymcXn40kCqBXD0OLPPzekqbHgWjxL4MqVK9QzJIR6yOV03AJO0uPKOYD6siyFBgWZNXXpg6jValr2xRekYFn6RiSyuFngCoBm29qSwt6eNm7YwItGdXV1NG/2bPJmGPpBILC4O/EigKZKJNTK2ZmSkpJ40ai6uprenzSJfFmWNlrg0EUuQG/LZNROoaC0tDRDmxkLLkWzJDQaDa1NSKA2rq40yoLSvp6vP3Hejo60asUKfR8FTMKFCxfo9V69KIBlaR1gksXr+pQqgL4RCsmHYWj83/9Od+/e5VsiOnXqFEV17Uovy+W0FeD9qaUMoEViMXnKZDRt4kQqKSnhWyI6cuQIhQYGUoRcTnst4ForgHYtrjvD0NwZM6iystKY5sU+tc7yPvfu3aPlS5eSn5sb9bG3p/XQDvCa86QpAfoNoAFyObVydqbFcXFmGXfTl9TUVOoTFkbPsSwtEYnorpl1ugTQbBsbUshkNHLgQDpz5gzfkjzCzp07KeKFFyhILqdvhUKzTyieA2i6nR25y2T0zsiRdPHiRb4laYRGo6GNGzfSy+3bU7C9Pa0WCKjczBodA2iSVEpuMhm9O24c3bx5k4umPf3O8j51dXW0adMmGtijB7lJpTSGZWk9QKUmOmHl0CbtepthyF0qpb5hYbRu3Tpd027yysmTJ2nSW2+RG8tSPwcHWiUQ0C0T6ZQD0BdCIUU4OJCPkxPNnD5dl+RRvJOenk5vDRtGrjIZDbK3pzWAycY1zwD0uUhEIQ4O5OfmRrGzZ9OtW7f4lqBZ9u/fT6Nef51cpFIaLpfTL4BJ0udq6h3kJ2IxdbK3pwAfH4qPi6P8/HwumxMrICLi8H30FkFBQQF+//137ExMxIG0NPjY2CCsrg4v37uHDtCGk9In6FcRtMm4zgPIlEqRbmuLK0oleoSGYsDf/44BAwZAwUGoNXNTU1ODvXv3Ysevv2Lnrl1gNRqEE6FLZSUCoA2MoWvgLwJwA1qdzgoEOCqXI12thpRlMWDQIAwcOhQ9evSAyIiYiXxQWVmJ3bt3Y0diIpL27YObUIgwtRpdqqoaNNI1QIYGwDVo+9FZoRAZcjmO1NXBxdkZA4YMwetDhiA8PBwCIwJ+8EFpaSl27tyJ7b/8gv2HDsFbLEa3+ustENrrzUnHulQArkIbxeqsUIgMe3tkKJXw8fTEwOHD8frgwQgJCTFFM+Y9k87yQTQaDbKyspCRkYGT6enIOXUKOVevoriyEq52dvAUi2EvFEKo0cBBIEA5EdRCISo0GuSpVMhXKuEok8Hfzw/+nTrhhbAwhIWFoWPHjhCLTRHTmT8uX76MtLQ0nEhPx/mTJ5F96RIKKyoa6STSaGAvEKCUCCQUokitRr5KhZLaWiicnBDw/PMIDAlBl27dEB4eDi8vU4QE5gciQnZ2No4cOYITaWnIzsxE9pUrKKmqgoedHTzEYrBCIWzUajBCYYNGhWo18uvqUFZXBx8XFwQFBKBDcDBCIyIQFhYGd3dD06hZHhqNBufOnUN6ejoy09KQffo0sq9eRXl1NRQSCdxFIjBCIWzVakiFQpQRQfOARuV1dfD18EBgQAACu3ZF17AwhIeHw8lJV3drMFZn2RRqtRr5+fkoKChAdXU1Kh6IosyyLCQSCdzd3eHu7v7UOUV90Gg0yMvLQ35+Pqqrq1H5QERuBwcHSKXSBp2eVVQqFfLz8xs0qqr6K4Kjo6MjpFIpPD094eJiaYlNzEddXV2jflRdXQ0AEAgEcHR0hEwmg0KhgKOjI18mWp2lFStWrOjAvBYb/NeKFStWzIkYwEa+jbBixYoVC+fc/wOvGFlC5Aa4UAAAAABJRU5ErkJggg==", "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.converters import circuit_to_dag\n", "from qiskit.tools.visualization import dag_drawer\n", "dag = circuit_to_dag(circ)\n", "dag_drawer(dag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Therefore, writing a transpiler pass means using Qiskit's DAGCircuit API to analyze or transform the circuit. Let's see some examples of this." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**a. Get all op nodes in the DAG:**" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:03.532050Z", "start_time": "2019-12-10T21:48:03.527373Z" } }, "outputs": [ { "data": { "text/plain": [ "[DAGOpNode(op=Instruction(name='h', num_qubits=1, num_clbits=0, params=[]), qargs=(Qubit(QuantumRegister(3, 'q'), 0),), cargs=()),\n", " DAGOpNode(op=Instruction(name='cx', num_qubits=2, num_clbits=0, params=[]), qargs=(Qubit(QuantumRegister(3, 'q'), 0), Qubit(QuantumRegister(3, 'q'), 1)), cargs=()),\n", " DAGOpNode(op=Instruction(name='measure', num_qubits=1, num_clbits=1, params=[]), qargs=(Qubit(QuantumRegister(3, 'q'), 0),), cargs=(Clbit(ClassicalRegister(3, 'c'), 0),)),\n", " DAGOpNode(op=Instruction(name='rz', num_qubits=1, num_clbits=0, params=[0.5]), qargs=(Qubit(QuantumRegister(3, 'q'), 1),), cargs=())]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dag.op_nodes()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each node is an instance of the ``DAGOpNode`` class. Let's examine the information stored in the fourth op node." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:03.540054Z", "start_time": "2019-12-10T21:48:03.534378Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "node name: rz\n", "node op: Instruction(name='rz', num_qubits=1, num_clbits=0, params=[0.5])\n", "node qargs: (Qubit(QuantumRegister(3, 'q'), 1),)\n", "node cargs: ()\n", "node condition: (ClassicalRegister(3, 'c'), 2)\n" ] } ], "source": [ "node = dag.op_nodes()[3]\n", "print(\"node name: \", node.name)\n", "print(\"node op: \", node.op)\n", "print(\"node qargs: \", node.qargs)\n", "print(\"node cargs: \", node.cargs)\n", "print(\"node condition: \", node.op.condition)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**b. Add an operation to the back:**" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:03.660392Z", "start_time": "2019-12-10T21:48:03.542892Z" }, "tags": [ "nbsphinx-thumbnail" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.circuit.library import HGate\n", "dag.apply_operation_back(HGate(), qargs=[q[0]])\n", "dag_drawer(dag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**c. Add an operation to the front:**" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:03.773434Z", "start_time": "2019-12-10T21:48:03.662725Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.circuit.library import CCXGate\n", "dag.apply_operation_front(CCXGate(), qargs=[q[0], q[1], q[2]], cargs=[])\n", "dag_drawer(dag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**d. Substitute a node with a subcircuit:**" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:03.905653Z", "start_time": "2019-12-10T21:48:03.776373Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.circuit.library import CHGate, U2Gate, CXGate\n", "mini_dag = DAGCircuit()\n", "p = QuantumRegister(2, \"p\")\n", "mini_dag.add_qreg(p)\n", "mini_dag.apply_operation_back(CHGate(), qargs=[p[1], p[0]])\n", "mini_dag.apply_operation_back(U2Gate(0.1, 0.2), qargs=[p[1]])\n", "\n", "# substitute the cx node with the above mini-dag\n", "cx_node = dag.op_nodes(op=CXGate).pop()\n", "dag.substitute_node_with_dag(node=cx_node, input_dag=mini_dag, wires=[p[0], p[1]])\n", "dag_drawer(dag)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, after all transformations are complete, we can convert back to a regular QuantumCircuit object.\n", "This is what the transpiler does! It takes a circuit, operates on it in DAG form, and outputs a transformed circuit." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:04.154317Z", "start_time": "2019-12-10T21:48:03.916725Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit.converters import dag_to_circuit\n", "circuit = dag_to_circuit(dag)\n", "circuit.draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementing a BasicMapper Pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we are familiar with the DAG, let's use it to write a transpiler pass. Here we will implement a basic pass for mapping an arbitrary circuit to a device with limited qubit connectivity. We call this the BasicMapper. This pass is included in Qiskit Terra as well.\n", "\n", "The first thing to do when writing a transpiler pass is to decide whether the pass class derives from a ``TransformationPass`` or ``AnalysisPass``. Transformation passes modify the circuit, while analysis passes only collect information about a circuit (to be used by other passes). Then, the ``run(dag)`` method is implemented, which does the main task. Finally, the pass is registered inside the ``qiskit.transpiler.passes`` module.\n", "\n", "This pass functions as follows: it traverses the DAG layer-by-layer (each layer is a group of operations acting on independent qubits, so in theory all operations in a layer can be done independently). For each operation, if it does not already meet the coupling map constraints, the pass identifies a swap path and inserts swaps to bring the two qubits close to each other.\n", "\n", "Follow the comments in the code for more details." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:04.178919Z", "start_time": "2019-12-10T21:48:04.159510Z" } }, "outputs": [], "source": [ "from copy import copy\n", "\n", "from qiskit.transpiler.basepasses import TransformationPass\n", "from qiskit.transpiler import Layout\n", "from qiskit.circuit.library import SwapGate\n", "\n", "\n", "class BasicSwap(TransformationPass):\n", " \"\"\"Maps (with minimum effort) a DAGCircuit onto a `coupling_map` adding swap gates.\"\"\"\n", "\n", " def __init__(self,\n", " coupling_map,\n", " initial_layout=None):\n", " \"\"\"Maps a DAGCircuit onto a `coupling_map` using swap gates.\n", " \n", " Args:\n", " coupling_map (CouplingMap): Directed graph represented a coupling map.\n", " initial_layout (Layout): initial layout of qubits in mapping\n", " \"\"\"\n", " super().__init__()\n", " self.coupling_map = coupling_map\n", " self.initial_layout = initial_layout\n", "\n", " def run(self, dag):\n", " \"\"\"Runs the BasicSwap pass on `dag`.\n", " \n", " Args:\n", " dag (DAGCircuit): DAG to map.\n", "\n", " Returns:\n", " DAGCircuit: A mapped DAG.\n", "\n", " Raises:\n", " TranspilerError: if the coupling map or the layout are not\n", " compatible with the DAG.\n", " \"\"\"\n", " new_dag = DAGCircuit()\n", " for qreg in dag.qregs.values():\n", " new_dag.add_qreg(qreg)\n", " for creg in dag.cregs.values():\n", " new_dag.add_creg(creg)\n", " \n", "\n", " if self.initial_layout is None:\n", " if self.property_set[\"layout\"]:\n", " self.initial_layout = self.property_set[\"layout\"]\n", " else:\n", " self.initial_layout = Layout.generate_trivial_layout(*dag.qregs.values())\n", "\n", " if len(dag.qubits) != len(self.initial_layout):\n", " raise TranspilerError('The layout does not match the amount of qubits in the DAG')\n", "\n", " if len(self.coupling_map.physical_qubits) != len(self.initial_layout):\n", " raise TranspilerError(\n", " \"Mappers require to have the layout to be the same size as the coupling map\")\n", " \n", " canonical_register = dag.qregs['q']\n", " trivial_layout = Layout.generate_trivial_layout(canonical_register)\n", " current_layout = trivial_layout.copy()\n", "\n", " for layer in dag.serial_layers():\n", " subdag = layer['graph']\n", "\n", " for gate in subdag.two_qubit_ops():\n", " physical_q0 = current_layout[gate.qargs[0]]\n", " physical_q1 = current_layout[gate.qargs[1]]\n", " if self.coupling_map.distance(physical_q0, physical_q1) != 1:\n", " # Insert a new layer with the SWAP(s).\n", " swap_layer = DAGCircuit()\n", " swap_layer.add_qreg(canonical_register)\n", "\n", " path = self.coupling_map.shortest_undirected_path(physical_q0, physical_q1)\n", " for swap in range(len(path) - 2):\n", " connected_wire_1 = path[swap]\n", " connected_wire_2 = path[swap + 1]\n", "\n", " qubit_1 = current_layout[connected_wire_1]\n", " qubit_2 = current_layout[connected_wire_2]\n", "\n", " # create the swap operation\n", " swap_layer.apply_operation_back(SwapGate(),\n", " qargs=[qubit_1, qubit_2],\n", " cargs=[])\n", "\n", " # layer insertion\n", " order = current_layout.reorder_bits(new_dag.qubits)\n", " new_dag.compose(swap_layer, qubits=order)\n", "\n", " # update current_layout\n", " for swap in range(len(path) - 2):\n", " current_layout.swap(path[swap], path[swap + 1])\n", "\n", " order = current_layout.reorder_bits(new_dag.qubits)\n", " new_dag.compose(subdag, qubits=order)\n", "\n", " return new_dag" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's test this pass on a small example circuit." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:04.189596Z", "start_time": "2019-12-10T21:48:04.181850Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "q = QuantumRegister(7, 'q')\n", "in_circ = QuantumCircuit(q)\n", "in_circ.h(q[0])\n", "in_circ.cx(q[0], q[4])\n", "in_circ.cx(q[2], q[3])\n", "in_circ.cx(q[6], q[1])\n", "in_circ.cx(q[5], q[0])\n", "in_circ.rz(0.1, q[2])\n", "in_circ.cx(q[5], q[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we construct a pass manager that contains our new pass. We pass the example circuit above to this pass manager, and obtain a new, transformed circuit." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:04.207681Z", "start_time": "2019-12-10T21:48:04.191604Z" } }, "outputs": [], "source": [ "from qiskit.transpiler import PassManager\n", "from qiskit.transpiler import CouplingMap\n", "from qiskit import BasicAer\n", "pm = PassManager()\n", "coupling = [[0, 1], [1, 2], [2, 3], [3, 4], [4, 5], [5, 6]]\n", "coupling_map = CouplingMap(couplinglist=coupling)\n", "\n", "pm.append([BasicSwap(coupling_map)])\n", "\n", "out_circ = pm.run(in_circ)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:04.457320Z", "start_time": "2019-12-10T21:48:04.210267Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "in_circ.draw(output='mpl')" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:04.807143Z", "start_time": "2019-12-10T21:48:04.459740Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "out_circ.draw(output='mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that this pass only inserts the swaps necessary to make every two-qubit interaction conform to the device coupling map. It does not, for example, care about the direction of interactions, or the native gate set supported by the device. This is a design philosophy of Qiskit's transpiler: every pass performs a small, well-defined action, and the aggressive circuit optimization is achieved by the pass manager through combining multiple passes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transpiler Logging \n", "\n", "Due to the complexity of the internal operations that the transpiler is performing it's likely that you'll end up in a situation where you'd like to debug an issue or just understand more of what is happening inside the transpiler when you call it. To facilitate this the transpiler emits log messages as part of its normal operation. This logging uses the Python standard library `logging` module to emit the log messages. Python's standard logging was used because it allows Qiskit-Terra's logging to integrate in a standard way with other applications and libraries.\n", "\n", "For a more thorough introduction to Python logging refer to the [official documentation](https://docs.python.org/3/library/logging.html) and the tutorials and cookbook linked off of there." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " Note: Most of the logging module functions used in this section adjust global settings. If you run commands in this section it might effect the output from other cells if they are run in a different order.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Configuring Python Standard Library Logging\n", "\n", "By default Python Standard Logging only prints log messages at the `WARNING`, `ERROR`, or `CRITICAL` log levels.\n", "Since none of the logs emitted by the transpiler use these log levels (they're all informative) you need to configure logging.\n", "\n", "The simplest way to do this is to just run:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:04.813322Z", "start_time": "2019-12-10T21:48:04.809390Z" } }, "outputs": [], "source": [ "import logging\n", "\n", "logging.basicConfig(level='DEBUG')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `basicConfig()` function (see the docs here: https://docs.python.org/3/library/logging.html#logging.basicConfig) configures a root handler and formatter. We also specify the [log level](https://docs.python.org/3/library/logging.html#levels) to display with the `level` kwarg. Setting it to a level will also include and higher levels. For example, if you set it to `'INFO'`, in addition to the `INFO` level, this will also include the `WARNING`, `ERROR`, and `CRITICAL` log levels.\n", "\n", "Now the python environment in this notebook is configured to emit log messages to stderr when you run the transpiler. For example:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", " Note: basicConfig() will only work when called the first time it's called. It detects if a root handler and formatter have already been setup (either by using an earlier basicConfig() call or otherwise) and does nothing if they have. Further adjustments will have to by interacting with the handler directly.\n", "
" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:04.870900Z", "start_time": "2019-12-10T21:48:04.815673Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:stevedore.extension:found extension EntryPoint(name='basic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:BasicSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='lookahead', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:LookaheadSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='none', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:NoneRoutingPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='sabre', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:SabreSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='stochastic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:StochasticSwapPassManager', group='qiskit.transpiler.routing')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.01121 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnitarySynthesis - 0.07796 (ms)\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: HighLevelSynthesis - 1.30749 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Unroll3qOrMore - 0.02146 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: SetLayout - 0.00739 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: TrivialLayout - 0.06509 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckMap - 0.09203 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FullAncillaAllocation - 0.18358 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: EnlargeWithAncilla - 0.11158 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ApplyLayout - 0.24843 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.01645 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckMap - 0.08273 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnitarySynthesis - 0.14734 (ms)\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: HighLevelSynthesis - 2.12932 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnrollCustomDefinitions - 0.18430 (ms)\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Begin BasisTranslator from source basis {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to target basis {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Begining basis search from {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate r generated using rule \n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate u generated using rule \n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate tdg generated using rule \n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate s generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate rz generated using rule \n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate z generated using rule \n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate ry generated using rule \n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate x generated using rule \n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate t generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate p generated using rule \n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate h generated using rule \n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Transformation path:\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:h/1 => []\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:p/1 => [Parameter(theta)]\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:t/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:x/1 => []\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:ry/1 => [Parameter(theta)]\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:z/1 => []\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:rz/1 => [Parameter(theta)]\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:s/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:tdg/1 => []\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:u/1 => [Parameter(theta), Parameter(phi), Parameter(lam)]\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:r/1 => [Parameter(theta), Parameter(phi)]\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation path search completed in 0.079s.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: h/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updating transform for mapped instr ('h', 1) h, [] from \n", " ┌───┐\n", "q270: ┤ h ├\n", " └───┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updated transform for mapped instr ('h', 1) h, [] to\n", " ┌─────────┐\n", "q270: ┤ U2(0,π) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: p/1 [Parameter(theta)] =>\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: t/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: x/1 [] =>\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updating transform for mapped instr ('x', 1) x, [] from \n", " ┌───┐\n", "q268: ┤ x ├\n", " └───┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updated transform for mapped instr ('x', 1) x, [] to\n", " ┌───────────┐\n", "q268: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: ry/1 [Parameter(theta)] =>\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: z/1 [] =>\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: rz/1 [Parameter(theta)] =>\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: s/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: tdg/1 [] =>\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: u/1 [Parameter(theta), Parameter(phi), Parameter(lam)] =>\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: r/1 [Parameter(theta), Parameter(phi)] =>\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation paths composed in 0.045s.\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation instructions replaced in 0.000s.\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: BasisTranslator - 127.81143 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckGateDirection - 0.14639 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GateDirection - 0.28825 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: RemoveResetInZeroState - 0.03529 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.06032 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.05436 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.51093 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02146 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Optimize1qGatesDecomposition - 3.89552 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CXCancellation - 0.05627 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GatesInBasis - 0.06032 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.07224 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.01645 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.05436 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.01717 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Optimize1qGatesDecomposition - 2.38466 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CXCancellation - 0.10848 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GatesInBasis - 0.08154 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.10681 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.01884 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.08702 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02027 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.07558 (ms)\n", "INFO:qiskit.compiler.transpiler:Total Transpile Time - 205.91760 (ms)\n" ] } ], "source": [ "from qiskit.providers.fake_provider import FakeTenerife\n", "\n", "\n", "log_circ = QuantumCircuit(2, 2)\n", "log_circ.h(0)\n", "log_circ.h(1)\n", "log_circ.h(1)\n", "log_circ.x(1)\n", "log_circ.cx(0, 1)\n", "log_circ.measure([0,1], [0,1])\n", "\n", "backend = FakeTenerife()\n", "\n", "transpile(log_circ, backend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can clearly see here when calling `transpile()` it now prints 2 types of log messages. The first is at the `INFO` log level and come from the pass manager. These indicate each pass that was executed and how long that took. The second are at the `DEBUG` level and come from the StochasticSwap pass and describes the internal operation of that pass. It's useful for debugging issues in the pass's operation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Adjusting the log level for the transpiler\n", "\n", "The qiskit transpiler uses a single namespace ``qiskit.transpiler``, as used by ``logging.getLogger('qiskit.transpiler')``. This makes it very easy to adjust the log level for just the transpiler. For example if you only wish to see log messages at the INFO level or above you can run:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:04.917836Z", "start_time": "2019-12-10T21:48:04.872823Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:stevedore.extension:found extension EntryPoint(name='basic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:BasicSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='lookahead', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:LookaheadSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='none', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:NoneRoutingPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='sabre', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:SabreSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='stochastic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:StochasticSwapPassManager', group='qiskit.transpiler.routing')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.00882 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnitarySynthesis - 0.04649 (ms)\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: HighLevelSynthesis - 3.08633 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Unroll3qOrMore - 0.03195 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: SetLayout - 0.00644 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: TrivialLayout - 0.05007 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckMap - 0.09489 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FullAncillaAllocation - 0.09966 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: EnlargeWithAncilla - 0.06652 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ApplyLayout - 0.28276 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.01192 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckMap - 0.06318 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnitarySynthesis - 0.12589 (ms)\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: HighLevelSynthesis - 1.47748 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnrollCustomDefinitions - 0.05245 (ms)\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Begin BasisTranslator from source basis {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to target basis {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation path search completed in 0.001s.\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation paths composed in 0.002s.\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation instructions replaced in 0.000s.\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: BasisTranslator - 7.40910 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckGateDirection - 0.07319 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GateDirection - 0.15426 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: RemoveResetInZeroState - 0.02313 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.08106 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.01669 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.04125 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02027 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Optimize1qGatesDecomposition - 4.40145 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CXCancellation - 0.13161 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GatesInBasis - 0.08607 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.05746 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.01931 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.13041 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02146 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Optimize1qGatesDecomposition - 1.33228 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CXCancellation - 0.07725 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GatesInBasis - 0.10133 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.10204 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02313 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.06318 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.01836 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.04482 (ms)\n", "INFO:qiskit.compiler.transpiler:Total Transpile Time - 79.09131 (ms)\n" ] } ], "source": [ "logging.getLogger('qiskit.transpiler').setLevel('INFO')\n", "transpile(log_circ, backend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting up logging to deal with parallel execution\n", "\n", "When running the transpiler with multiple circuits by default these circuits are transpiled in parallel. If you want to do this with logging enabled and be able to understand the output some additional steps are required.\n", "\n", "If you were just to enable logging as above and then pass `transpile()` multiple circuits you'll get results that are difficult to decipher. For example:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:05.069815Z", "start_time": "2019-12-10T21:48:04.920183Z" }, "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "DEBUG:stevedore.extension:found extension EntryPoint(name='basic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:BasicSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='basic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:BasicSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='lookahead', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:LookaheadSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='lookahead', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:LookaheadSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='none', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:NoneRoutingPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='none', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:NoneRoutingPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='sabre', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:SabreSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='sabre', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:SabreSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='stochastic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:StochasticSwapPassManager', group='qiskit.transpiler.routing')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='stochastic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:StochasticSwapPassManager', group='qiskit.transpiler.routing')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.11110 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnitarySynthesis - 0.27680 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.14544 (ms)\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnitarySynthesis - 0.21100 (ms)\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: HighLevelSynthesis - 3.80325 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: HighLevelSynthesis - 3.51930 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Unroll3qOrMore - 0.07844 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Unroll3qOrMore - 0.07057 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: SetLayout - 0.02217 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: SetLayout - 0.00978 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: TrivialLayout - 0.27537 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: TrivialLayout - 0.20695 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckMap - 0.25034 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckMap - 0.25201 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FullAncillaAllocation - 0.17428 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: EnlargeWithAncilla - 0.14925 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FullAncillaAllocation - 0.25582 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: EnlargeWithAncilla - 0.23961 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ApplyLayout - 0.50950 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.08559 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ApplyLayout - 1.11890 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckMap - 0.11158 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.01860 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckMap - 0.09012 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnitarySynthesis - 0.16379 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnitarySynthesis - 0.11730 (ms)\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: HighLevelSynthesis - 3.08251 (ms)\n", "DEBUG:stevedore.extension:found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnrollCustomDefinitions - 0.16665 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: HighLevelSynthesis - 2.89869 (ms)\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Begin BasisTranslator from source basis {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to target basis {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: UnrollCustomDefinitions - 0.64802 (ms)\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Begining basis search from {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Begin BasisTranslator from source basis {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to target basis {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Begining basis search from {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate r generated using rule \n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate r generated using rule \n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate u generated using rule \n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate u generated using rule \n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate tdg generated using rule \n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate s generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate tdg generated using rule \n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate s generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate rz generated using rule \n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate z generated using rule \n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate rz generated using rule \n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate ry generated using rule \n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate z generated using rule \n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate x generated using rule \n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate ry generated using rule \n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate x generated using rule \n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate t generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate p generated using rule \n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate t generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate h generated using rule \n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate p generated using rule \n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Transformation path:\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Gate h generated using rule \n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Transformation path:\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:h/1 => []\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:h/1 => []\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:p/1 => [Parameter(theta)]\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:t/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:p/1 => [Parameter(theta)]\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:t/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:x/1 => []\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:ry/1 => [Parameter(theta)]\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:x/1 => []\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:z/1 => []\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:ry/1 => [Parameter(theta)]\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:z/1 => []\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:rz/1 => [Parameter(theta)]\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:s/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:rz/1 => [Parameter(theta)]\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:tdg/1 => []\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:s/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:u/1 => [Parameter(theta), Parameter(phi), Parameter(lam)]\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:tdg/1 => []\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:u/1 => [Parameter(theta), Parameter(phi), Parameter(lam)]\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:r/1 => [Parameter(theta), Parameter(phi)]\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation path search completed in 0.096s.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:r/1 => [Parameter(theta), Parameter(phi)]\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation path search completed in 0.092s.\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: h/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: h/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updating transform for mapped instr ('h', 1) h, [] from \n", " ┌───┐\n", "q284: ┤ h ├\n", " └───┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updating transform for mapped instr ('h', 1) h, [] from \n", " ┌───┐\n", "q284: ┤ h ├\n", " └───┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updated transform for mapped instr ('h', 1) h, [] to\n", " ┌─────────┐\n", "q284: ┤ U2(0,π) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: p/1 [Parameter(theta)] =>\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updated transform for mapped instr ('h', 1) h, [] to\n", " ┌─────────┐\n", "q284: ┤ U2(0,π) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: t/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: p/1 [Parameter(theta)] =>\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: t/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: x/1 [] =>\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: x/1 [] =>\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updating transform for mapped instr ('x', 1) x, [] from \n", " ┌───┐\n", "q282: ┤ x ├\n", " └───┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updating transform for mapped instr ('x', 1) x, [] from \n", " ┌───┐\n", "q282: ┤ x ├\n", " └───┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updated transform for mapped instr ('x', 1) x, [] to\n", " ┌───────────┐\n", "q282: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Updated transform for mapped instr ('x', 1) x, [] to\n", " ┌───────────┐\n", "q282: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: ry/1 [Parameter(theta)] =>\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: ry/1 [Parameter(theta)] =>\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: z/1 [] =>\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: z/1 [] =>\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: rz/1 [Parameter(theta)] =>\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: rz/1 [Parameter(theta)] =>\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: s/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: s/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: tdg/1 [] =>\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: tdg/1 [] =>\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: u/1 [Parameter(theta), Parameter(phi), Parameter(lam)] =>\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: u/1 [Parameter(theta), Parameter(phi), Parameter(lam)] =>\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: r/1 [Parameter(theta), Parameter(phi)] =>\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "DEBUG:qiskit.transpiler.passes.basis.basis_translator:Composing transform step: r/1 [Parameter(theta), Parameter(phi)] =>\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation paths composed in 0.054s.\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation paths composed in 0.059s.\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation instructions replaced in 0.000s.\n", "INFO:qiskit.transpiler.passes.basis.basis_translator:Basis translation instructions replaced in 0.000s.\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: BasisTranslator - 157.53222 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: BasisTranslator - 164.86216 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckGateDirection - 0.11420 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CheckGateDirection - 0.15402 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GateDirection - 0.24891 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GateDirection - 0.38290 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: RemoveResetInZeroState - 0.12541 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: RemoveResetInZeroState - 0.08464 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.13971 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.09847 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.04601 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.03552 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.10777 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.07534 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.03409 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02384 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Optimize1qGatesDecomposition - 5.46145 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CXCancellation - 0.15616 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GatesInBasis - 0.17238 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.06294 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Optimize1qGatesDecomposition - 6.20103 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02456 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CXCancellation - 0.20838 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.05889 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GatesInBasis - 0.08988 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02050 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.09155 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Optimize1qGatesDecomposition - 1.33586 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02384 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CXCancellation - 0.11396 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.06008 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.01812 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GatesInBasis - 0.07248 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.12565 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Optimize1qGatesDecomposition - 1.33085 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.01884 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: CXCancellation - 0.10204 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.06866 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: GatesInBasis - 0.05865 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02265 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Depth - 0.11039 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.06700 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.02861 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: Size - 0.07248 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: FixedPoint - 0.05746 (ms)\n", "INFO:qiskit.transpiler.runningpassmanager:Pass: ContainsInstruction - 0.06485 (ms)\n", "INFO:qiskit.compiler.transpiler:Total Transpile Time - 401.94011 (ms)\n" ] } ], "source": [ "# Change log level back to DEBUG\n", "logging.getLogger('qiskit.transpiler').setLevel('DEBUG')\n", "# Transpile multiple circuits\n", "circuits = [log_circ, log_circ]\n", "transpile(circuits, backend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see here we get log messages from both circuits being transpiled together. There is no way to know which pass is part of which circuit's transpilation. Luckily Python logging provides tools to deal with this. The simplest one is to just change the [log formatter](https://docs.python.org/3/library/logging.html#logging.Formatter) so that includes additional information so we can associate a log message with the process it came from." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:05.077804Z", "start_time": "2019-12-10T21:48:05.073526Z" } }, "outputs": [], "source": [ "formatter = logging.Formatter('%(name)s - %(processName)-10s - %(levelname)s: %(message)s')\n", "handler = logging.getLogger().handlers[0]\n", "handler.setFormatter(formatter)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then rerun the `transpile()` call and see the new log formatter." ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:05.205597Z", "start_time": "2019-12-10T21:48:05.081153Z" }, "scrolled": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "stevedore.extension - ForkProcess-8 - DEBUG: found extension EntryPoint(name='basic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:BasicSwapPassManager', group='qiskit.transpiler.routing')\n", "stevedore.extension - ForkProcess-7 - DEBUG: found extension EntryPoint(name='basic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:BasicSwapPassManager', group='qiskit.transpiler.routing')\n", "stevedore.extension - ForkProcess-7 - DEBUG: found extension EntryPoint(name='lookahead', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:LookaheadSwapPassManager', group='qiskit.transpiler.routing')\n", "stevedore.extension - ForkProcess-8 - DEBUG: found extension EntryPoint(name='lookahead', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:LookaheadSwapPassManager', group='qiskit.transpiler.routing')\n", "stevedore.extension - ForkProcess-7 - DEBUG: found extension EntryPoint(name='none', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:NoneRoutingPassManager', group='qiskit.transpiler.routing')\n", "stevedore.extension - ForkProcess-8 - DEBUG: found extension EntryPoint(name='none', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:NoneRoutingPassManager', group='qiskit.transpiler.routing')\n", "stevedore.extension - ForkProcess-8 - DEBUG: found extension EntryPoint(name='sabre', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:SabreSwapPassManager', group='qiskit.transpiler.routing')\n", "stevedore.extension - ForkProcess-7 - DEBUG: found extension EntryPoint(name='sabre', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:SabreSwapPassManager', group='qiskit.transpiler.routing')\n", "stevedore.extension - ForkProcess-8 - DEBUG: found extension EntryPoint(name='stochastic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:StochasticSwapPassManager', group='qiskit.transpiler.routing')\n", "stevedore.extension - ForkProcess-7 - DEBUG: found extension EntryPoint(name='stochastic', value='qiskit.transpiler.preset_passmanagers.builtin_plugins:StochasticSwapPassManager', group='qiskit.transpiler.routing')\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: ContainsInstruction - 0.03219 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: ContainsInstruction - 0.03409 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: UnitarySynthesis - 0.22340 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: UnitarySynthesis - 0.22054 (ms)\n", "stevedore.extension - ForkProcess-8 - DEBUG: found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "stevedore.extension - ForkProcess-7 - DEBUG: found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "stevedore.extension - ForkProcess-8 - DEBUG: found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "stevedore.extension - ForkProcess-7 - DEBUG: found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: HighLevelSynthesis - 4.45032 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: HighLevelSynthesis - 3.88885 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: Unroll3qOrMore - 0.06819 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: Unroll3qOrMore - 0.09251 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: SetLayout - 0.02050 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: SetLayout - 0.03481 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: TrivialLayout - 0.19765 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: TrivialLayout - 0.20719 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: CheckMap - 0.23437 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: CheckMap - 0.21529 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: FullAncillaAllocation - 0.22936 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: FullAncillaAllocation - 0.19598 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: EnlargeWithAncilla - 0.20957 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: EnlargeWithAncilla - 0.20599 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: ApplyLayout - 1.73903 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: ApplyLayout - 1.93524 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: ContainsInstruction - 0.16189 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: ContainsInstruction - 0.08154 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: CheckMap - 0.11396 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: CheckMap - 0.10371 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: UnitarySynthesis - 0.12875 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: UnitarySynthesis - 0.09084 (ms)\n", "stevedore.extension - ForkProcess-8 - DEBUG: found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "stevedore.extension - ForkProcess-7 - DEBUG: found extension EntryPoint(name='clifford.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisClifford', group='qiskit.synthesis')\n", "stevedore.extension - ForkProcess-7 - DEBUG: found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "stevedore.extension - ForkProcess-8 - DEBUG: found extension EntryPoint(name='linear_function.default', value='qiskit.transpiler.passes.synthesis.high_level_synthesis:DefaultSynthesisLinearFunction', group='qiskit.synthesis')\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: HighLevelSynthesis - 7.49135 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: HighLevelSynthesis - 10.27989 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: UnrollCustomDefinitions - 0.27299 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: UnrollCustomDefinitions - 0.24176 (ms)\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - INFO: Begin BasisTranslator from source basis {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to target basis {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - INFO: Begin BasisTranslator from source basis {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to target basis {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Begining basis search from {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Begining basis search from {('cx', 2), ('x', 1), ('measure', 1), ('h', 1)} to {'snapshot', 'u1', 'u3', 'u2', 'measure', 'reset', 'id', 'barrier', 'cx', 'delay'}.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate r generated using rule \n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate r generated using rule \n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate u generated using rule \n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate u generated using rule \n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate tdg generated using rule \n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate tdg generated using rule \n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate s generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate s generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate rz generated using rule \n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate rz generated using rule \n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate z generated using rule \n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate z generated using rule \n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate ry generated using rule \n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate ry generated using rule \n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate x generated using rule \n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate x generated using rule \n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate t generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate t generated using rule \n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate p generated using rule \n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Gate h generated using rule \n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate p generated using rule \n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Transformation path:\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Gate h generated using rule \n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", " with total cost of 1.0.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: h/1 => []\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Transformation path:\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: h/1 => []\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: p/1 => [Parameter(theta)]\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: p/1 => [Parameter(theta)]\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: t/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: t/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: x/1 => []\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: x/1 => []\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: ry/1 => [Parameter(theta)]\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: ry/1 => [Parameter(theta)]\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: z/1 => []\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: z/1 => []\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: rz/1 => [Parameter(theta)]\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: s/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: rz/1 => [Parameter(theta)]\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: tdg/1 => []\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: s/1 => []\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: tdg/1 => []\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: u/1 => [Parameter(theta), Parameter(phi), Parameter(lam)]\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: u/1 => [Parameter(theta), Parameter(phi), Parameter(lam)]\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: r/1 => [Parameter(theta), Parameter(phi)]\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: r/1 => [Parameter(theta), Parameter(phi)]\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - INFO: Basis translation path search completed in 0.089s.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - INFO: Basis translation path search completed in 0.092s.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: h/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: h/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U2(0,π) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Updating transform for mapped instr ('h', 1) h, [] from \n", " ┌───┐\n", "q284: ┤ h ├\n", " └───┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Updating transform for mapped instr ('h', 1) h, [] from \n", " ┌───┐\n", "q284: ┤ h ├\n", " └───┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Updated transform for mapped instr ('h', 1) h, [] to\n", " ┌─────────┐\n", "q284: ┤ U2(0,π) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Updated transform for mapped instr ('h', 1) h, [] to\n", " ┌─────────┐\n", "q284: ┤ U2(0,π) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: p/1 [Parameter(theta)] =>\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: p/1 [Parameter(theta)] =>\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: t/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: t/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/4) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: x/1 [] =>\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Updating transform for mapped instr ('x', 1) x, [] from \n", " ┌───┐\n", "q282: ┤ x ├\n", " └───┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: x/1 [] =>\n", " ┌───────────┐\n", "q: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Updating transform for mapped instr ('x', 1) x, [] from \n", " ┌───┐\n", "q282: ┤ x ├\n", " └───┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Updated transform for mapped instr ('x', 1) x, [] to\n", " ┌───────────┐\n", "q282: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: ry/1 [Parameter(theta)] =>\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Updated transform for mapped instr ('x', 1) x, [] to\n", " ┌───────────┐\n", "q282: ┤ U3(π,0,π) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: z/1 [] =>\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: ry/1 [Parameter(theta)] =>\n", " ┌──────────────┐\n", "q: ┤ R(theta,π/2) ├\n", " └──────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: z/1 [] =>\n", " ┌───────┐\n", "q: ┤ U1(π) ├\n", " └───────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: rz/1 [Parameter(theta)] =>\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: rz/1 [Parameter(theta)] =>\n", "global phase: -0.5*theta\n", " ┌───────────┐\n", "q: ┤ U1(theta) ├\n", " └───────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: s/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: s/1 [] =>\n", " ┌─────────┐\n", "q: ┤ U1(π/2) ├\n", " └─────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: tdg/1 [] =>\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: tdg/1 [] =>\n", " ┌──────────┐\n", "q: ┤ U1(-π/4) ├\n", " └──────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: u/1 [Parameter(theta), Parameter(phi), Parameter(lam)] =>\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: u/1 [Parameter(theta), Parameter(phi), Parameter(lam)] =>\n", " ┌───────────────────┐\n", "q: ┤ U3(theta,phi,lam) ├\n", " └───────────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - DEBUG: Composing transform step: r/1 [Parameter(theta), Parameter(phi)] =>\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - DEBUG: Composing transform step: r/1 [Parameter(theta), Parameter(phi)] =>\n", " ┌───────────────────────────────────┐\n", "q: ┤ U3(theta,phi - π/2,π/2 - 1.0*phi) ├\n", " └───────────────────────────────────┘\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - INFO: Basis translation paths composed in 0.047s.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - INFO: Basis translation paths composed in 0.045s.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-8 - INFO: Basis translation instructions replaced in 0.000s.\n", "qiskit.transpiler.passes.basis.basis_translator - ForkProcess-7 - INFO: Basis translation instructions replaced in 0.000s.\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: BasisTranslator - 142.57407 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: BasisTranslator - 144.40155 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: CheckGateDirection - 0.15712 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: CheckGateDirection - 0.17142 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: GateDirection - 0.28253 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: RemoveResetInZeroState - 0.07534 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: GateDirection - 0.24128 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: Depth - 0.14544 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: RemoveResetInZeroState - 0.08249 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: FixedPoint - 0.04268 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: Depth - 0.16069 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: Size - 0.14091 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: FixedPoint - 0.03624 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: FixedPoint - 0.01359 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: Size - 0.10967 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: FixedPoint - 0.02694 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: Optimize1qGatesDecomposition - 4.01998 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: CXCancellation - 0.13161 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: Optimize1qGatesDecomposition - 3.88145 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: GatesInBasis - 0.12183 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: CXCancellation - 0.20623 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: Depth - 0.06962 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: GatesInBasis - 0.06723 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: FixedPoint - 0.02122 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: Size - 0.04506 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: FixedPoint - 0.03147 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: Depth - 0.11611 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: FixedPoint - 0.01955 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: Optimize1qGatesDecomposition - 1.07360 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: Size - 0.06151 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: CXCancellation - 0.10633 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: FixedPoint - 0.02623 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: GatesInBasis - 0.07534 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: Optimize1qGatesDecomposition - 1.08242 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: Depth - 0.07391 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: FixedPoint - 0.02074 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: Size - 0.05603 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: FixedPoint - 0.02646 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-8 - INFO: Pass: ContainsInstruction - 0.05937 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: CXCancellation - 0.08416 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: GatesInBasis - 0.05841 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: Depth - 0.06700 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: FixedPoint - 0.02432 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: Size - 0.04792 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: FixedPoint - 0.02933 (ms)\n", "qiskit.transpiler.runningpassmanager - ForkProcess-7 - INFO: Pass: ContainsInstruction - 0.06461 (ms)\n", "qiskit.compiler.transpiler - MainProcess - INFO: Total Transpile Time - 393.94832 (ms)\n" ] } ], "source": [ "transpile(circuits, backend);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now the format for the log messages has been changed and it includes a process name for each of the transpilation processes so it's at least clear which log messages go together.\n", "\n", "There are many different options for how you can configure, this example is pretty limited. Refer to the documentation for more examples and options to build more sophisticated use cases that suit your specific use case or preferences." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "ExecuteTime": { "end_time": "2019-12-10T21:48:10.920429Z", "start_time": "2019-12-10T21:48:10.912305Z" }, "scrolled": false }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.22.3
qiskit-aer0.11.2
qiskit-ignis0.7.0
qiskit-ibmq-provider0.19.2
qiskit0.39.4
System information
Python version3.10.6
Python compilerGCC 11.3.0
Python buildmain, Nov 14 2022 16:10:14
OSLinux
CPUs4
Memory (Gb)3.7695083618164062
Thu Dec 22 18:19:13 2022 JST
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false }, "vscode": { "interpreter": { "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1" } } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/circuits_advanced/05_pulse_gates.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Pulse gates\n", "\n", "Most quantum algorithms can be described with circuit operations alone. When we need more control over the low-level implementation of our program, we can use _pulse gates_. Pulse gates remove the constraint of executing circuits with basis gates only, and also allow you to override the default implementation of any basis gate.\n", "\n", "Pulse gates allow you to map a logical circuit gate (e.g., `X`) to a Qiskit Pulse program, called a `Schedule`. This mapping is referred to as a _calibration_. A high fidelity calibration is one which faithfully implements the logical operation it is mapped from (e.g., whether the `X` gate calibration drives $|0\\rangle$ to $|1\\rangle$, etc.).\n", "\n", "A schedule specifies the exact time dynamics of the input signals across all input _channels_ to the device. There are usually multiple channels per qubit, such as drive and measure. This interface is more powerful, and requires a deeper understanding of the underlying device physics.\n", "\n", "It's important to note that Pulse programs operate on physical qubits. A drive pulse on qubit $a$ will not enact the same logical operation on the state of qubit $b$ -- in other words, gate calibrations are not interchangeable across qubits. This is in contrast to the circuit level, where an `X` gate is defined independent of its qubit operand.\n", "\n", "This page shows you how to add a calibration to your circuit.\n", "\n", "**Note:** Not all providers support pulse gates." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Build your circuit\n", "\n", "Let's start with a very simple example, a Bell state circuit." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import QuantumCircuit\n", "\n", "circ = QuantumCircuit(2, 2)\n", "circ.h(0)\n", "circ.cx(0, 1)\n", "circ.measure(0, 0)\n", "circ.measure(1, 1)\n", "\n", "circ.draw('mpl')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Build your calibrations\n", "\n", "Now that we have our circuit, let's define a calibration for the Hadamard gate on qubit 0.\n", "\n", "In practice, the pulse shape and its parameters would be optimized through a series of Rabi experiments (see the [Qiskit Textbook](https://learn.qiskit.org/course/quantum-hardware-pulses/calibrating-qubits-using-qiskit-pulse) for a walk through). For this demonstration, our Hadamard will be a Gaussian pulse. We will _play_ our pulse on the _drive_ channel of qubit 0.\n", "\n", "Don't worry too much about the details of building the calibration itself; you can learn all about this on the following page: [building pulse schedules](06_building_pulse_schedules.ipynb)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qiskit import pulse\n", "from qiskit.pulse.library import Gaussian\n", "from qiskit.providers.fake_provider import FakeValencia\n", "\n", "backend = FakeValencia()\n", "\n", "with pulse.build(backend, name='hadamard') as h_q0:\n", " pulse.play(Gaussian(duration=128, amp=0.1, sigma=16), pulse.drive_channel(0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's draw the new schedule to see what we've built." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h_q0.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Link your calibration to your circuit\n", "\n", "All that remains is to complete the registration. The circuit method `add_calibration` needs information about the gate and a reference to the schedule to complete the mapping:\n", "\n", " QuantumCircuit.add_calibration(gate, qubits, schedule, parameters)\n", "\n", "The `gate` can either be a `circuit.Gate` object or the name of the gate. Usually, you'll need a different schedule for each unique set of `qubits` and `parameters`. Since the Hadamard gate doesn't have any parameters, we don't have to supply any." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "circ.add_calibration('h', [0], h_q0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lastly, note that the transpiler will respect your calibrations. Use it as you normally would (our example is too simple for the transpiler to optimize, so the output is the same)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['id', 'rz', 'sx', 'x', 'cx', 'reset']\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import transpile\n", "from qiskit.providers.fake_provider import FakeHanoi\n", "\n", "backend = FakeHanoi()\n", "\n", "circ = transpile(circ, backend)\n", "\n", "print(backend.configuration().basis_gates)\n", "circ.draw('mpl', idle_wires=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that `h` is not a basis gate for the mock backend `FakeHanoi`. Since we have added a calibration for it, the transpiler will treat our gate as a basis gate; _but only on the qubits for which it was defined_. A Hadamard applied to a different qubit would be unrolled to the basis gates.\n", "\n", "That's it!\n", "\n", "## Custom gates\n", "\n", "We'll briefly show the same process for nonstandard, completely custom gates. This demonstration includes a gate with parameters." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import QuantumCircuit\n", "from qiskit.circuit import Gate\n", "\n", "circ = QuantumCircuit(1, 1)\n", "custom_gate = Gate('my_custom_gate', 1, [3.14, 1])\n", "# 3.14 is an arbitrary parameter for demonstration\n", "circ.append(custom_gate, [0])\n", "circ.measure(0, 0)\n", "\n", "circ.draw('mpl')" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "with pulse.build(backend, name='custom') as my_schedule:\n", " pulse.play(Gaussian(duration=64, amp=0.2, sigma=8), pulse.drive_channel(0))\n", "\n", "circ.add_calibration('my_custom_gate', [0], my_schedule, [3.14, 1])\n", "# Alternatively: circ.add_calibration(custom_gate, [0], my_schedule)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we use the `Gate` instance variable `custom_gate` to add the calibration, the parameters are derived from that instance. Remember that the order of parameters is meaningful." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circ = transpile(circ, backend)\n", "circ.draw('mpl', idle_wires=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Normally, if we tried to transpile our `circ`, we would get an error. There was no functional definition provided for `\"my_custom_gate\"`, so the transpiler can't unroll it to the basis gate set of the target device. We can show this by trying to add `\"my_custom_gate\"` to another qubit which hasn't been calibrated." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\"Cannot unroll the circuit to the given basis, ['id', 'rz', 'sx', 'x', 'cx', 'reset']. Instruction my_custom_gate not found in equivalence library and no rule found to expand.\"\n" ] } ], "source": [ "circ = QuantumCircuit(2, 2)\n", "circ.append(custom_gate, [1])\n", "\n", "\n", "from qiskit import QiskitError\n", "try:\n", " circ = transpile(circ, backend)\n", "except QiskitError as e:\n", " print(e)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.21.2
qiskit-aer0.10.4
qiskit-ibmq-provider0.19.2
qiskit0.37.2
System information
Python version3.10.7
Python compilerGCC 12.2.0
Python buildmain, Sep 6 2022 21:22:27
OSLinux
CPUs32
Memory (Gb)125.64828109741211
Mon Sep 12 15:28:25 2022 EDT
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.7" } }, "nbformat": 4, "nbformat_minor": 4 } ================================================ FILE: tutorials/circuits_advanced/06_building_pulse_schedules.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Building Pulse Schedules\n", "\n", "Pulse gates define a low-level, exact representation for a circuit gate. A single operation can be implemented with a pulse program, which is comprised of multiple low-level instructions. To learn more about pulse gates, refer back to the documentation [here](05_pulse_gates.ipynb). This page details how to create pulse programs.\n", "\n", "Note: For IBM devices, pulse programs are used as subroutines to describe gates. Previously, some devices accepted full programs in this format, but this is being sunset in December 2021. Other providers may still accept full programs in this format. Regardless of how the program is used, the syntax for building the program is the same. Read on to learn how!\n", "\n", "Pulse programs, which are called `Schedule`s, describe instruction sequences for the control electronics. We build `Schedule`s using the Pulse Builder. It's easy to initialize a schedule:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "ScheduleBlock(, name=\"my_example\", transform=AlignLeft())" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import pulse\n", "\n", "with pulse.build(name='my_example') as my_program:\n", " # Add instructions here\n", " pass\n", "\n", "my_program" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can see that there are no instructions yet. The next section of this page will explain each of the instructions you might add to a schedule, and the last section will describe various _alignment contexts_, which determine how instructions are placed in time relative to one another." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# `Schedule` Instructions\n", "\n", " - [delay(duration, channel)](#delay)\n", " - [play(pulse, channel)](#play)\n", " - [set_frequency(frequency, channel)](#set_frequency)\n", " - [shift_phase(phase, channel)](#shift_phase)\n", " - [acquire(duration, channel, mem_slot, reg_slot)](#acquire)\n", "\n", "Each instruction type has its own set of operands. As you can see above, they each include at least one `Channel` to specify where the instruction will be applied.\n", "\n", "**Channels** are labels for signal lines from the control hardware to the quantum chip.\n", "\n", " - `DriveChannel`s are typically used for _driving_ single qubit rotations,\n", " - `ControlChannel`s are typically used for multi-qubit gates or additional drive lines for tunable qubits, \n", " - `MeasureChannel`s are specific to transmitting pulses which stimulate readout, and\n", " - `AcquireChannel`s are used to trigger digitizers which collect readout signals.\n", " \n", "`DriveChannel`s, `ControlChannel`s, and `MeasureChannel`s are all `PulseChannel`s; this means that they support _transmitting_ pulses, whereas the `AcquireChannel` is a receive channel only and cannot play waveforms.\n", "\n", "For the following examples, we will create one `DriveChannel` instance for each `Instruction` that accepts a `PulseChannel`. Channels take one integer `index` argument. Except for `ControlChannel`s, the index maps trivially to the qubit label." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "from qiskit.pulse import DriveChannel\n", "\n", "channel = DriveChannel(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The pulse `Schedule` is independent of the backend it runs on. However, we can build our program in a context that is aware of the target backend by supplying it to `pulse.build`. When possible you should supply a backend. By using the channel accessors `pulse._channel()` we can make sure we are only using available device resources." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5\n" ] } ], "source": [ "from qiskit.providers.fake_provider import FakeValencia\n", "\n", "backend = FakeValencia()\n", "\n", "with pulse.build(backend=backend, name='backend_aware') as backend_aware_program:\n", " channel = pulse.drive_channel(0)\n", " print(pulse.num_qubits())\n", " # Raises an error as backend only has 5 qubits\n", " #pulse.drive_channel(100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `delay`\n", "\n", "One of the simplest instructions we can build is `delay`. This is a blocking instruction that tells the control electronics to output no signal on the given channel for the duration specified. It is useful for controlling the timing of other instructions.\n", "\n", "The duration here and elsewhere is in terms of the backend's cycle time (1 / sample rate), `dt`. It must take an integer value.\n", "\n", "To add a `delay` instruction, we pass a duration and a channel, where `channel` can be any kind of channel, including `AcquireChannel`. We use `pulse.build` to begin a Pulse Builder context. This automatically schedules our delay into the schedule `delay_5dt`." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "with pulse.build(backend) as delay_5dt:\n", " pulse.delay(5, channel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That's all there is to it. Any instruction added after this delay on the same channel will execute five timesteps later than it would have without this delay.\n", "\n", "## `play`\n", "\n", "The `play` instruction is responsible for executing _pulses_. It's straightforward to add a play instruction:\n", "\n", "```\n", "with pulse.build() as sched:\n", " pulse.play(pulse, channel)\n", "```\n", "\n", "Let's clarify what the `pulse` argument is and explore a few different ways to build one.\n", "\n", "### Pulses\n", "\n", "A `Pulse` specifies an arbitrary pulse _envelope_. The modulation frequency and phase of the output waveform are controlled by the `set_frequency` and `shift_phase` instructions, which we will cover next.\n", "\n", "The image below may provide some intuition for why they are specified separately. Think of the pulses which describe their envelopes as input to an arbitrary waveform generator (AWG), a common lab instrument -- this is depicted in the left image. Notice the limited sample rate discritizes the signal. The signal produced by the AWG may be mixed with a continuous sine wave generator. The frequency of its output is controlled by instructions to the sine wave generator; see the middle image. Finally, the signal sent to the qubit is demonstrated by the right side of the image below.\n", "\n", "**Note**: The hardware may be implemented in other ways, but if we keep the instructions separate, we avoid losing explicit information, such as the value of the modulation frequency.\n", "\n", "![alt text](pulse_modulation.png \"Pulse modulation image\")\n", "\n", "There are many methods available to us for building up pulses. Our `library` within Qiskit Pulse contains helpful methods for building `Pulse`s. Let's take for example a simple Gaussian pulse -- a pulse with its envelope described by a sampled Gaussian function. We arbitrarily choose an amplitude of 1, standard deviation $\\sigma$ of 10, and 128 sample points.\n", "\n", "**Note**: The amplitude norm is arbitrarily limited to `1.0`. Each backend system may also impose further constraints -- for instance, a minimum pulse size of 64. These additional constraints, if available, would be provided through the `BackendConfiguration` which is described [here](08_gathering_system_information.ipynb#Configuration)." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "from qiskit.pulse import library\n", "\n", "amp = 1\n", "sigma = 10\n", "num_samples = 128" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Parametric pulses\n", "Let's build our Gaussian pulse using the `Gaussian` parametric pulse. A parametric pulse sends the name of the function and its parameters to the backend, rather than every individual sample. Using parametric pulses makes the jobs you send to the backend much smaller. IBM Quantum backends limit the maximum job size that they accept, so parametric pulses may allow you to run larger programs.\n", "\n", "Other parametric pulses in the `library` include `GaussianSquare`, `Drag`, and `Constant`.\n", "\n", "\n", "**Note**: The backend is responsible for deciding exactly how to sample the parametric pulses. It is possible to draw parametric pulses, but the samples displayed are not guaranteed to be the same as those executed on the backend." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gaus = pulse.library.Gaussian(num_samples, amp, sigma,\n", " name=\"Parametric Gaus\")\n", "gaus.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Pulse waveforms described by samples\n", "\n", "A `Waveform` is a pulse signal specified as an array of time-ordered complex amplitudes, or _samples_. Each sample is played for one cycle, a timestep `dt`, determined by the backend. If we want to know the real-time dynamics of our program, we need to know the value of `dt`. The (zero-indexed) $i^{th}$ sample will play from time `i*dt` up to `(i + 1)*dt`, modulated by the qubit frequency." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "times = np.arange(num_samples)\n", "gaussian_samples = np.exp(-1/2 *((times - num_samples / 2) ** 2 / sigma**2))\n", "\n", "gaus = library.Waveform(gaussian_samples, name=\"WF Gaus\")\n", "gaus.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Pulse library functions\n", "\n", "Our own pulse library has sampling methods to build a `Waveform` from common functions." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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ReTPr8Tz6bo3yKL2ZLUo8Im9mZmZmVkEekTezHsWj79ZsHqU3sw8qj8ibmZmZmVWQR+TNrCU88m6t5FF6M/sg8Ii8mZmZmVkFeUTezLqcR9+tCjxKb2ZV4xF5MzMzM7MK8oi8mTWVR9/tg6St69kj9WbWEziQN7MF5qDdFlVOwzGznsCpNWZmZmZmFeQReTNriEffzdrnUXoz624O5M1sPg7azZrDwb2ZdSUH8maLOAftZt3Lwb2ZNYsDebMPIAfnZtXSmX+zDvrNrMaBvFnFOWg3W7R4RN/MahzIm3UjB91m1hWa/X+LbwzMqsGBvFk38h9HMzMzaxbPI29mZmZmVkEO5M3MzMzMKsiBvJmZmZlZBTmQNzMzMzOrIAfyZmZmZmYV5EDezMzMzKyCHMibmbXAI488zC47f3nu8k47fYH777+/hT0yM7OqcSBvZtaF2grQN9ro04y45toFbnfChAmceOIJ7LD9dmyx+WZ8cfBOHH/8cTz//PML010zM6sQfyGUmVnFTJ48mQMP2J//98lPcvElw/joRz/K22+/zahRo7j/vvtYY401Wt1FMzPrBh6RNzNrgX/84x/suMP285SNGfMEu++2K5/Zeit+cvzxzJw5s+62f/zjH+jbty8///kvWG211ZBEv3792HXXXdnnq1+dW++oo77Pdttuw9ZbbcnXDhrCs88+O3fdwQd/jauv/tvc5REjRjDkwAMBiAiGDj2NbQZ9jq223II9vrI7zz7zTDMP38zMmsCBvJlZD3H9yJGc99vzuW7k9Yx/YTy/+92Fdes9cP/9bLPttiy2WPv/hW+91dZcc+11jLp9NOutvz7HHntMQ/247957eeThhxlxzbXcfc+9nDb0dPoPGNDZwzEzsy7mQN7MrIfYe+99WHnllenfvz+HHHIoN95wQ916kydPZoXlV5i7PHr07Wy99VZsucXmHPb1r88t33W33VhmmWXo3bs3hx32DZ4eO5a33367w3706tWLqVOnMW7c80QEa665JiuuuOLCH6CZmTWVc+TNzHqID6+88tzfV1llFSZMmFC3Xv/+/ZnwxvvrBg3ahrvvvoerr/4bI0eOBGD27Nmce8453HLLzUyaNAnl0fvJkyez7LLLttuPTTfbjL333ptTfvELXnnlFbbdbjuOPPL79O3bd2EP0czMmsgj8mZmPcRrr7469/dXX32lzVHwTTfbjNG3386cOXPabOuG669n9OjbueCCC7n7nnu5/vo0uh8RACy11FLMmD5jbv0333hjnu2/uu++XH7FX7j66uGMHz+eS4cNW9DDMjOzLuJA3sysi7333ixmzpw59/Xee+/VrfeXv1zBa6+9yltvvcVFv7uIHT//+br19t//AKZMmcKPf3wsL774IhHB1KlTGfvU2Ll1pk6byhK9e9N/wABmTJ/OOeecPU8b6667LreNuo3p06fzwgsvMPzvw+eue+KJJ3j8sceYNWsWSy21FH1690aLqQlnwszMmsmpNWZmXeyIww+fZ/mQQw9ls802n6/eToMH843DDuP1CRMYNGgQhx76v3XbW2655bjsD3/kvN/8hoOGHMjUqVNZfvnl+eSnPsWPf3wcAF/+8s7cd++97LjD9vTv359vHn44f73yyrlt7Lff/ox5YgzbbbsNa6+zDoMHD+aB+x8AYOrUdzh96FBeeukl+vTpwxZbbsmQIQc163SYmVmTqPYxaz0bbbRR3HHnXd3YHTMzMzOzD55+y/Z9OCI2bmabTq0xMzMzM6sgB/JmZmZmZhXkQN7MzMzMrIIcyJuZmZmZVZADeTMzMzOzCnIgb2ZmZmZWQQ7kzczMzMwqyIG8mZmZmVkFtfuFUJImAOO7rzt1rQC80eI+WDX4WrFG+DqxRvlasUb4OrFGrRsRyzazwV7trYyIFZu5swUh6aFmfwuWfTD5WrFG+DqxRvlasUb4OrFGSXqo2W06tcbMzMzMrIIcyJuZmZmZVVAVAvkLW90BqwxfK9YIXyfWKF8r1ghfJ9aopl8r7T7samZmZmZmPVMVRuTNzMzMzKykRwbykjaQdJukaZJelnSSpMVb3S9rHUl7SrpG0n8kvSPpYUn7FNYPlBRtvMa2su/WvSQNaeM6OKyN+mfl9ad3d1+ttSTtLemR/H/KfyRdJukjpTrflDRS0pv5OhnUmt5ad5G0lqQLJD0mabak0XXqSNKxkl6UNF3SnZI+Wadeh9eYVVNH14mk3pKulPRcvkYmSLpB0qfbaXPVfK2EpL6N9KPd6SdbQdJywK3Ak8AuwMeBM0g3Hce1sGvWWkcCzwPfI83XOxj4s6QVIuIc4BVgi9I2SwE3Azd0Z0etx9gWmF5Yfq5cQdIGwMHAlO7qlPUMknYGLgd+A/wAWAU4GRgp6dMRMSdXPQAI4CZgn3pt2QfOJ0h/Y+4Hlmijzo+A40nXzlOkv1G3StowIl6FTl1jVk0dXSeLk/7vOAX4N9CPFMOMkvSpiJjvbxIwFHgHWKbRTvS4HHlJxwBHA6tHxJRcdjRwArByrcwWLTlgf6NU9mdgi4hYo41t9gSuBDaPiAe6oZvWA0gaAlwCLBsR73RQ9zbgXmB/4KqIOKrre2g9gaQrgLUj4tOFsp2BEcAGEfGvXLZYRMyRtCHwOLBNRIxuRZ+te9Te8/z7VcAKETGosH5J4DXgjIg4KZctA4wDLoiI43JZQ9eYVVNH10kb2/QF3gSOiYgzS+s+C/wd+AUpoO/wbxj0zNSanYCbSgH7FaTR1c+1pkvWauUgPnsUaO8jyn2A5xzEWz2S9gDWA37Z6r5YSywBvFUqm5x/qlbgUdNFTwPv+Zak0dUrC9tMBa4lxTA1DV1jVk0L+H/DVGAG0LtYmNPHzwFOopPfEtwTA/n1SB9TzRURLwDT8jqzmi2Ap+utkNSP9B/qFd3aI+tJ/i3pPUljJX29uELSUqSUvR/lP8C26LkY+IykAyT1k7QOKe1hVEQ82eK+Wc+2HjAbeKZU/i/mjVN8jVnteYpeklYGTiNdO5eXqh0G9CGlYXVKTwzkl+P9O9aiSXmdGZK2A3YlBWP17AosiQP5RdErpNzV/YEvk/IXz5f0vUKdY3K9P3Z/96wniIiRwBDSvM5vAWNJOa1faWG3rBqWA96JiNml8knA0pJ6g68xm+uHwCzS35wDgcERMb62UtLywM+AIyNiVmcb74mBvFm7JA0E/gyMiIhhbVTbBxgTEY93V7+sZ4iImyLi5Ii4OSJuiIgDSR+BHydpMUlrAEcB34me9pCQdRtJ2wDnA78GtgH2Bj4EDJdnSbMm8DVm2TBgE2Bn4GHgujzRQs3Pgfsj4voFabzHzVpDuqPtX6d8ubzOFmGSPkSahWY8sG8bdZYHtic9IG0GcBWwFzCQNIPADcBYSQPy+sWAPnn5LQf4i4QzgGsi4oe1Akn/JKV27gJc3aJ+Wc83CegrafHSqPxywLSIeDcv+xoz8ixGtZmMbgDGkGY9OkDSJ4CvAZ8t/D1aOv/sL2l2REynHT1xRP4pSrnwklYjHdhTdbewRYKkpYHrSA+JfCkiprVRdQ/STarTaqwmCj/XBXYn/TGuvVYDjsi/r9qKDlq3Ww/4Z7EgIsaSpiz9eCs6ZJXxFClFZq1SefkZP19jNo+IeI80+9WauWht0kPR9/H+36NanvxLpAdg29UTR+RvAH4gadmIeDuX/Q/pwr+jdd2yVpLUC/gr6aLfMiJeb6f6PsCDEfHvbumcVcEepJkAxgOHAOUv2riC9P/Lb4EJ3ds1a5HxwEbFAknrk2ZIG9eKDlll3Ev67ok9SQ+v1gaavkzKh6/xNWbzyFOXbgTck4vuJqVdFX2BlFc/mDrff1LWEwP584FvA1dLOpV013ICcKbnkF+knUe6qL8DLJ/TZ2oejYiZAPkb8z4DfL/7u2g9gaS/AQ8Cj5FGzf4nv76dpwt7qM42M4AXPT/4IuV84CxJL5MGkD4M/IQUYM3NVZW0MSkla7Vc9DlJKwDjImK+a8mqLwflg/PiqkC/PF0twPURMU3SL4HjJU3i/S+EWox5R1Abusasmjq6TkjpUzsBNwIvk74Q7Jv555kwd2rt0aV2B+Zf72pkHvkeF8hHxKQ8I8m5pDlZJwNn4XznRd2O+eev66xbg/dHN/bKP6+sU88WDWNJOYerkeZqfhI4ICL+0NJeWU9zNvAu8A3S1G+TSaNjx5SmJD2CNNNEzQn556WkGUnsg2cl0ifARbXl2t+bX5IC92OA5UkDBDtExGuFbRq9xqyaOrpOngL2IwXty5FmrXkA2DgixjSrEz3um13NzMzMzKxjPfFhVzMzMzMz64ADeTMzMzOzCnIgb2ZmZmZWQQ7kzczMzMwqyIG8mZmZmVkFOZA3MzMzM6sgB/Jm1hKShkh6WNLbkiZJelTSmU3ex6aSTmhmmz2ZpBMkvdGEdtbJbQ0olQ+RFJLK34zb7SRdI+mnHdT5Uu7vwLy8Uj6ugaV6G0uaKKl/1/XYzKz5HMibWbeTdAxwEXATsDtwADAC2LnJu9oUaDfYs7rWIZ23AaXykcAWwLTu7lCRpM2AbZn3WzQbsRLpuAYWC/M3tD4KfK8Z/TMz6y497ptdzWyRcARwQUQcWyi7VtKJreqQdSwiJgATWt0P4NvAiIiY2MQ2LwFOl3RyRLzXxHbNzLqMR+TNrBUGAK+WC6PwVdOSHpQ0rFxH0jBJj+bfl5B0uqQXJM2U9LKk4ZJ6SxpCHrHN6RUhaXShnQ0ljcypPW9L+quklQvrB+VttpM0QtJUSc9I2lHS4pKGSnpD0n8kHdnIQUs6VNLjkmZIek3SVZL6SxosaY6kNUr118jluxTKdsvnZrqkNyVdL2n1dvb5IUkX5v3NkHRvHtFuq/4g4Nq8+Hw+B+PyunlSayQNzMt7S7pE0hRJL0naL68/Or8nEySdKmmx0r7afQ/a6N+ywG7AVaVy5bSZ13NblwH9CusHAo/nxdtr10ShiWuADwGfb2//ZmY9iQN5M2uFR4BvSTpQ0vJt1Pk9sEcxHzv/vgdwcS46BtgXOB7YAfgu8BawOCkN5Ixcb4v8+mZuZy3gHmBJYD9gCPAJ0qcCKvXjAuBuUvA4nhRAngssC3w1L5/RXnCc93lcbusOYFfgG7mvfUkpRi8DB5Y2GwK8no8FSfsDVwP/BvYCDgKeBlZsY599gFuB7YEf5P1OAG5tJ2B+BDgq/7476bzt1t6xAacCrwBfAe4CLpV0Bim16WvAr4Cjc59rfevMe1C0JbAUcG+p/NvAT4ALSdfIdOC0wvpXSNcKwOG8f00AEBFTgDGkc2VmVg0R4ZdffvnVrS/gv4HngADmkAKok4B+hTr9gKnAQYWyrwEzgeXz8nXAGe3s5wjyQH+p/A/AWKB3oWxtYDbwxbw8KPfvp4U6G+SyUYWyxUifLpzaTj8GkPLKz2ynzsnA84DysoBxwOmF/fwHuLqdNk4A3igsHwy8C6xdKOtFuhEY2k47X8rHObBUPiSX983LA/PyJaX3bRbwDLB4ofxB4C+deQ/a6NuxwIRS2eKkG6HflspvKR4HsGFeHtRG28OAe1r978Mvv/zyq9GXR+TNrNtFxGPA+qSHW88jBa3HAw/VRuAjjZBeRQoea4YA10TEm3n5n8CQnMLx3x2M5BZtDwwH5kjqJakXKYgeB2xcqntb4fdn889RhWOZQ7opWbWd/W1BGkW+pJ06FwOrk24gALbJy7Vt1gU+0kEbZdsDD5NSZGrHCelTgfJxLoy55yi/bxOAOyJidqHOs8x7jjrzHhStDJRn5lkNWIX0wHTR1Z04BnK77ab2mJn1JA7kzawlImJmRFwbEUdExAbAIaQR2YML1X4PfEbSmpI+DnyG99NqII1i/4aUMvN/wIuSvtPA7lcAfkgaOS6+1iQFhUWTC31+t1yWvUtKEWlLLX3olbYqRMRzwGhSugz554MRMabRNupYAdic+Y/zIOY/zoUxubT8bhtlxXPUmfegaEnSpzJFteD79VJ5ebkjM2n/fTQz61E8a42Z9QgR8XtJpwHrFcrulPQMaSRepPSJmwvrZ5Dyon8iaW3gMOBXksZGxI3t7G4iaTT4ojrrFnoe9jpqnyCs0kH7FwG/U5qec3fg+2200aiJwEOkfPyycjDc3Rb0PZjI/NNi1h6cXqlUXl7uyIDcvplZJTiQN7NuJ2mliHi9VLYi0B94rVT9YvJDqsBlpXSNuSLiGUlHkR5k3AC4kTQKjKQlc9BfcxvpwcqHIyLma6z57iM9fHkg7z9IWs/VpE8YriB9YnpFYd1YUo78gbw/q0xHbgN2BF4on+8O1D556MrR6QV9D8YCH5HUJyJqNyMvkoL5XUjve83upW07Oq6BpIeHzcwqwYG8mbXC45JGkEbXXyflgh9FeiD00lLdS0kpNL0o5YdLGk7KAX+UFCjvkevdmas8lX9+R9IoYEpEjCU9FPogMFLSxaQR4FVJM98Mi4jRzTpQgIiYLOlnwM8l9QauB/oAXwROjIj/5HozJP2JdDNyeURMLrQxR9LRwJ9ynctJD25um+s+VGfXl5E+pRgt6XRSLv/ypNlkXo2Is9ro8tj88+uSrgCmRcTjbdRdUCewYO/BPcASwH+RPm0gImbnT3NOV/pm27tIM+isX9r2BfINlaS3gFml87YxaQYeM7NKcI68mbXCSaTRz7NJwfzPSDPXbBoRzxcrRsSrwAOk2UTKo6X3kqZU/DPpQcdPA18pBGd3AUOB7+Q2LshtPk3KHZ9Gmq7wBuBEUrrJs3SBiDiFlOKyfe7rBaRUjrdLVf+ef15cKici/kwKUNcjPQh8Wf697pc05U8htiHN3nIi6Vz/mvQswoPt9HU86cZqd1Lg3OgnAA1b0Pcgb/cEsFNp1a+AX5BuXP5Gmtbz6NK2M4BDSdfJHcA/auskfYo0jWdnH5A1M2sZdc+nymZmC0bSh0gpJUdExO9b3Z+ulkeW9wLWzDPiWImk7wEHR8SGTWzzFGCTiPA88mZWGR6RN7MeSdKy+UuWziWNWl/e4i51KUnrStqNNGp/roP4dl0IrCipKUG3pGVII/UnN6M9M7Pu4hx5M+upPg3cTvo21QMiYlqL+9PVLgA2A64hpRxZGyJiqqQDgWWa1OTHgJOa/WyEmVlXc2qNmZmZmVkFObXGzMzMzKyCHMibmZmZmVWQA3kzMzMzswpyIG9mZmZmVkEO5M3MzMzMKsiBvJmZmZlZBf1/sEFzQlrR5gYAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gaus = library.gaussian(duration=num_samples, amp=amp, sigma=sigma, name=\"Lib Gaus\")\n", "gaus.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Regardless of which method you use to specify your `pulse`, `play` is added to your schedule the same way:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with pulse.build() as schedule:\n", " pulse.play(gaus, channel)\n", "schedule.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You may also supply a complex list or array directly to `play`" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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AwszMrOk4ADGzpZqDBzMzs9bFAYiZtWoOIMzMzJYuDkDMrKYcUJiZmbVtDkDMrGoOHszMzGxxOQAxa0McQJiZmVlLcwBitoRyMGFmZmZLIgcgZi3EAYSZmZm1RQ5AzBaBgwczMzOzRdNqAhBJZwJn5I8BTAdeBv4BXB4RbxfyCjgZOAZYBXgK+FFE/KuGVbYlmAMIMzMzs5bRagKQbDowIP+8MtCHFGQcJWlARIzOy04CTgN+CrwIHA88KGmTYqBibYODCTMzM7MlR2sLQOZExBOFz/dL+h0wArhZUi+gAykAOT8irgCQ9DgwHjgWOLW2VbbF5QDCzMzMrO1obQHI50TE+5JOBIYCuwCzgZWAWwt5PpJ0NzAQByA15eDBzMzMzBZGqw9AsmHAHGAr4F1gLvBSKc8LwLdqW60lnwMIMzMzM6ulJSIAiYiPJb0HfBH4FPgwIuaWsk0Dlpe0bETMrnklWwkHFGZmZmbWmi0RAUimlq5Ac3PwYGZmZmZLuyUiAJHUEegGvENq6egkqV2pFaQLMLPS+jF27FhWWrFT7StrZmZmZmb1WiICEGBHUl0fJ3XBagesD4wr5OlFmpIXgN69ezN8xKO1rKOZmZmZ2VKlOW7oL9PkJTYxSZ2BC0gPJXwQGAXMAA4s5Fke2Is0U5aZmZmZmbVSra0FpL2krfLPKwJ9SQ8iXB4YkLtczZX0C+A0SdP47EGEywCXt0CdzczMzMysSq0tAFmZ1M0qSK0cLwN/BC4vPeH8F6SA42TS2JCngV0i4p3aVtfMzMzMzBaGIqKl69As+vTpEx4DYmZmZma26FZasdPoiNisKcts9WNAzMzMzMxs6VHTAETSvpLekPShpN613LaZmbVeU6ZM4fDDBrF1v6245OKLW7o6ZmbWjGrdAnIxcGxEdIqIsTXetpmZ1eHaa6/hB98/ZoG0vfbas860+4Y2z2SDd9x+O507d+GxUY9zwuDBzbINMzNrHWodgPQAnq9rgaTWNiDezKxN6NOnL8888wxz56Znu06ePJk5c+bw4osvLpD2xuuv06dv32apw6RJE1l3vXWRtNDrzpkzpxlqZGZmzaXRAETSeEmDJT0rabqkW/KTySvLj5T0sqSpkv4uaY06ylhO0oekBwg+I+mVQtk/k/Qs8JGk9pK2kjRK0vuSnpHUv1DOOpKGS/pA0gOSrpD0xyb4HszM2qxNNtmEOXPmMG5cerbrmDFj2HyzzenZs+cCaWuttRajRo1i32/uw9b9tmKP3Qdy+223zS9n32/uw4jhw+d/njNnDjv234EXXvgPAM8++wzf/e532HbbbTjowAN46qmnADjttFO5++67ueH66+m31ZY88cQTzJ49mwsvvIBddt6JXXbeiQsvvIDZs2cD8NRTT7HrLjtz/XXXsdM3duSM00/nd7/7LYMHn8ApJ5/M1v224oD992PC+PFce+017Nh/B3bbdRdGjRpVk+/TzMwaVm0LyEHAAGAd4GvAIABJ3wDOz8tXByYAN5dXjohPIqLyGMWvR8R6hcX/A+wBdAa+CAwBzgW6AoOBOyR1z3n/DIwGVgHOAQ6tsv5mZlaPDh06sMkmX2X06NEAjBk9mj59+rBp796ltL507dqVyy6/gsdGPc5ZZ5/DxRdfND/AGDBgIEPv+6yL1qhRo+jcuTMbbrgR77zzDj889liOPPIoRox4lOOOP4HBJxzP1KlTOeeccxm4++4MOuwwHn/in2y11VZcc/XVPPfss9xyy63ccutt/Pvf/+bqq66aX/aUKVOYPn06Q++7n9NOPx2AEcOHs+eeezLi0ZH06tWLY445mnnz5vGPBx7kqO99j3PPObtWX6mZmTWg2gDksoiYGBFTgbuBTXP6/wLXRcSYiPiE9FyOfpJ6LkQdLouINyJiFnAIcG9E3BsR8yLiAdIzPnaXtDawOXBaDmhG5LqYmdli6rtZX8bkYGPs2DH07tOHPn36LJDWd7O+bL/99qy11lpIYrPNNmOrfv0YM2YMAAN3353hw4Yxa9YsAIYOvZcBAwYCcO+QIWy77XZst912LLPMMvTr14+NNtqYkSPrni793nuHcNT3jqZrt2507dqVo793NPcMuWf+ckkc8/3vs+yyy9KxY2qU792nD1tvsw3t27dnl112Zdq0aRx++BF06NCBAQMGMnHiRGbMmNE8X6CZmVWt2nEXxYcAzgQq3azWAMZUFkTEh5KmAGsC46ss+43Czz2AAyXtVUjrADyStzUtIj4qLJsArFXldszMrB59+/Tl1ltuYfr06UybNo0ePXrQrVs3Tjv1VKZPn87LL79M3z59GTnyUa78/e+ZMGEC8yL4eNYsNlh/AwDWXntt1llnXUYMH872O+zA8GHDOOaWWwGYOGkiDzzwD4aPKHTR+vRTNt988zrrM3nyZFZfffX5n1dfYw0mv/vu/M9dunRlueWWW2Cdbl27zf95uY4d6dylC+3atUufc95Zs2ay0korLc5XZWZmi2lxB35PJAUNAEhagfRk8rcWoozikxDfAP4QEUeWM0nqAXSRtEIhCFm7tL6ZmS2Cr33963zwwQfceccdfH3TTQHo1KkT3buvyp133EH37t3pvuqq7L//fpxz7rn0778jHTp04Cc/+TFR+DM8YGDqhjUv5rHuuuuy9tprA7Daaquxx557csYZZ1ZVn+7duzNp0iTWX399ACZNmkT3VVedv3wRxqqbmVkrsbizYP0FOEzSppKWA34O/DMixi9ieX8E9pK0m6R2kjpK6i/pSxExgdQd6yxJy0raFtir4eLMzKwaHTt2ZKONN+YPf7iJPr37zE/v3bt3Suvbl08//ZTZs2fTpUtX2rdvz8iRj/LE448vUM6AAQN44vHHue3WWxm4++7z0/fYY09GDB/OqMceY+7cuXzyySc89dRTvPPO29RlwMCBXH31VUydOpVp06Zx1ZVXssceezTPzpuZWU0tVgASEQ8CpwF3AJOA9YCDF6O8N4B9gFOAyaQWkZ8W6vltYEtgKnAGcFNx/fyAw+0WdftmZm3ZZn03Y+rUqfTu89lzYnv36cPUqVPp26cvK6ywAif+7CRO/OlgtttuW4beO5Qddui/QBndu3fna1/7Gs888wy77TZgfvpqq63GpZf+ev6sVAN225Ubb7yBefPqbsQ+8sij2HijjTnowAM48ID92XDDDTnyyKOaZb/NzKy2FLHk9mCSdCawfkQcUl7Wp0+fGD6i7sGNZmZmZmbWuJVW7DQ6IjZryjJr/SBCMzMzMzNrwxyAmJmZmZlZzSzuLFgtKiLObOk6mJmZmZlZ9dwCYmZmZmZmNeMAxMzMzMzMasYBiJmZmZmZ1YwDEDMzMzMzqxkHIGZmZmZmVjNL9IMIGyJpMjChhauxCvBeC9fBWj+fJ1YtnytWDZ8nVi2fK1aNr0TEik1Z4BI9DW9DIqJ7S9dB0tNN/eRIW/r4PLFq+Vyxavg8sWr5XLFqSHq6qct0FywzMzMzM6sZByBmZmZmZlYzDkCa11UtXQFbIvg8sWr5XLFq+DyxavlcsWo0+Xmy1A5CNzMzMzOz1sctIGZmZmZmVjMOQJqYpI0kPSRppqSJks6W1K6l62UtR9IBkkZJmiLpY0njJJ0qadl68v9KUki6uNZ1tZYlqb2kkyS9JOkTSW9K+lVhef98btT1ur8l627NR9L6kq6U9KykuZKG1ZFHkk6R9IakWZJGSNp0YcuxJVdjx1fSspJulfRqPkcmSxoqqW8DZa4p6cP8N6ZTs++E1US1fwskfVXSPZKmS/pA0pPl80XSwZLG5PPkLUk3SVqjsTostdPwtgRJXYAHgf8A+wDrAZeQAr1TW7Bq1rK6AQ8DFwHvA1sAZwKrAccWM0raCDgCmFHTGlprcQPwDeAs4EVgLWCjwvIxQL/SOmsDtwBDa1A/axkbA7sDTwAd6slzEnAa8FPSuXM88KCkTSLi7YUox5ZcjR3fdkAA5wOvACsBxwEPS+odEa/Wsc5FwIfACs1SY2spjf4tyDcwHgX+BnwrJ28OfKGQZ2/gL8BvSH97VgfOBYZI6hsR8+qrgMeANCFJJwMnAj0iYkZOO5F8sVlJM5N0HvADoEsUfgklPQSMAr4D3B4Rg1uoilZjkgYAdwNfj4j/LMR6PwV+AawVERObq37WciQtU/lHLul2YJWI6F9Y3hF4B7gkIs7OaSsA44ErI+LUasqxJduiHN/cqjEFODkifllatj3wV+DnpEBkxYj4sBmqbjVWzbki6Qng1Yj4dgPl3AxsEBF9C2l7k4KWjSLihfrWdRespjUQuL8UaNxMihZ3aJkqWSs1BVigC5akA4BepItJa3sOBx5emOAj+x9guIOPpVdDdxGzrUl3s28trPMRKaAduBDl2BJsEY/vR8DHfP7/UTvgcuBs/KT0pU5j50rujbEl6RxoSAdgeint/UoxDa3oAKRp9SI1fc8XEa8DM/Mya8MktZO0vKRtgR8Bv6u0fkj6Aqm73kn5wsHani2B/0q6QtKMPI7szob60kr6MtCb1ARubVcvYC7wUin9Bfy/x0ryeKH2klYDLiSdO+W/IUcDy5G61ljbs2V+7yLpGUlzJL0i6YhSvuuA7SR9V9JK+X/SuVRxM80BSNPqwmeRX9G0vMzato/y61FgOKm/ZMXJwCTgjy1QL2sdVgMGAZsCBwOHAX2BuyTVdyfpYOBT4I4a1M9ary7AhxExt5Q+DVhe9Ux4YW3Wz0h/NyYBhwK7R8SEykJJ3YBzgOMj4tOWqaK1sNXy+03An4BdgPuAayTtXskUEUNI/7euIrWEjCONNdq/sQ04ADGrna2B7YATSJMUXAEgaR1gMPDj4ngQa3OUX/tExL0RcQtpLNAWpIHpdTkY+EdETK1RHc1syXcDaTDx3sBo4J7c5abiPOCJiLi3BepmrUPlptc1EXFhRDwSET8AHiHdME2ZpB2B3wO/BnYk/U/qSrpx1uAMsJ4Fq2lNA1auI71LXmZtWESMyT+OlPQecKOkS0gD/IYC4yR1znmWAZbLn6c7MGkTppEG/E0ppI0EZpNmwnqomFnS14ENSRcL1rZNAzpJaldqBekCzIyI2S1UL2uF8qxobwNIGgo8T5pF7buSNiaNR9u+8P9o+fy+sqS5ETGrxlW22qtcsz5SSn+YNHNaxSXA3yPiZ5UESf8iDUfYB7izvg24BaRpvUipv62ktUi/vC/WuYa1VZVgZB3gK8B+pF/4ymst0hS904A1W6KCVnMvUPegPQF1DRg8GJhFmm3E2rYXSd0e1i+lf25collRRMwBngPWzUkbkAYWP85n/48q40DepPFBybZ0qMxeVf6fVP5/1Av4VzFDRIwj/W9ar6ENOABpWkOB3SStWEj7FulADG+ZKlkrtU1+fw34f6Smy+LrHdKMNjsCk1uiglZz9wBflbRKIW170sXAM3XkPxi429NiGmnq7hnAgZUEScsDe+Hnw1gD8hTOfUj/iyC1upb/H12Ql+1Omo7Xln6jSMFnufvvTiz4/2gC6fyZT9KGpNlfxze0AXfBalq/J81udKekC0h3FM4EfulngLRdku4jPaDyedJsI9uQxoHcEhGv1LPOx8AbETGsVvW0FncV6e/H3ZJ+DqxI+sf/YESMLGaUtBXQkwWbwm0plYOJysDPNYGV8rTdAPdGxExJvwBOkzSNzx5EuAyFO9bVlNPMu2LNqLHjS+oSM5A0mHgi6aFx38/vvwSIiPeAYaVye+YfH/UNj6VDlX9TzgYulPQ+8BRpYPn2LPhYid8Dv5I0kXSz44vA6aTgo8ExRH4QYRPLA7muID2t+H3gGuDMOmYnsTZC0jnAvqQLxjnAq8D1wO/rm2FE0nj8IMI2R9L6wGWkP/CzSd2rjouIaaV8l5JmHvliRHxS42pajeULwNfqWbxORIzPM6WdAhwDdAOeBn4UEWMXppymqrPVXmPHlzQm6FzS7HpdSLNg/RM4OyKeb6DcQaT/WX4Q4VKi2r8Fko4HfkgKUsYBZ0TE/HEd+e/O0aS/O+uRrntHkh5s+WqDdXAAYmZmZmZmteIxIGZmZmZmVjMOQMzMzMzMrGYcgJiZmZmZWc04ADEzMzMzs5pxAGJmZmZmZjXjAMTMzMzMzGrGAYiZ2UKQNEjSaEkfSJomaaykXzbxNraQdGZTltmaSTpT0ntNUM6Xc1mdS+mDJIWkTou7jcUl6e+Szmgkz565vj3z51XzfvUs5dtM0lRJKzdfjc3Mmp4DEDOzKkk6mfRw0fuB/YDvkh4WuHcTb2oLoMGLVKvTl0nfW+dS+hDSw2Fb9EnfkrYEvkHh6eRVWpW0Xz2LiRHxNDAWOK4p6mdmVivtW7oCZmZLkGOBKyPilELa3ZLOaqkKWeMiYjIwuaXrAfwI+FtETG3CMq8HLpZ0bkTMacJyzcyajVtAzMyq1xl4u5wYEVH5WdKTkm4o55F0g6Sx+ecOki6W9LqkTyRNlHSXpGUlDSLfIc/dcELSsEI5m0gakruAfSDpNkmrFZb3z+vsJOlvkj6S9JKkXSW1k3SRpPckvSXp+Gp2WtKRkp6T9LGkdyTdLmllSbtLmidpnVL+dXL6PoW0ffN3M0vSFEn3SurRwDa7Sroqb+9jSaNyC0J9+fsDd+ePr+XvYHxetkAXLEk98+eDJV0vaYakNyUdkpefmI/JZEkXSFqmtK0Gj0E99VsR2Be4vZSu3L3q3VzWTcBKheU9gefyx0cq50ShiL8DXYHdGtq+mVlr4gDEzKx6Y4AfSjpUUrd68lwLHFAcb5B/PgC4LiedDPwvcBqwC/ATYDrQjtRd6JKcr19+fT+Xsz7wGNAROAQYBGxMaoVRqR5XAiNJF70TSBe+VwArAt/Ony9p6KI+b/PUXNZw4JvAMbmunUhd0SYCh5ZWGwS8m/cFSd8B7gReAQ4CDgP+C3SvZ5vLAQ8COwM/zdudDDzYwIX+GGBw/nk/0ve2b0P7BlwATAL2Bx4FbpR0CakL3OHApcCJuc6Vui3MMSjaGvgCMKqU/iPgdOAq0jkyC7iwsHwS6VwB+AGfnRMARMQM4HnSd2VmtmSICL/88ssvv6p4AV8DXgUCmEe68DsbWKmQZyXgI+CwQtrhwCdAt/z5HuCSBrZzLLlhpZT+B2AcsGwhbQNgLrBH/tw/1++MQp6NctrDhbRlSK05FzRQj86kcRO/bCDPucBrgPJnAeOBiwvbeQu4s4EyzgTeK3w+ApgNbFBIa08KYC5qoJw98372LKUPyumd8uee+fP1peP2KfAS0K6Q/iRwy8Icg3rqdgowuZTWjhTA/a6U/kBxP4BN8uf+9ZR9A/BYS/9++OWXX35V+3ILiJlZlSLiWWBD0qDz35Iutk8Dnq60eES6I3076aK3YhDw94iYkj//CxiUu/p8rZE750U7A3cB8yS1l9SedPE/HtislPehws8v5/eHC/syjxRMrdnA9vqR7tpf30Ce64AepMAHYMf8ubLOV4A1GimjbGdgNKkrVWU/IbXClPdzccz/jvJxmwwMj4i5hTwvs+B3tDDHoGg1oDzT11rA6qSJDIruXIh9IJfbYBcwM7PWxAGImdlCiIhPIuLuiDg2IjYC/h/pDvgRhWzXAttJWlfSesB2fNb9ClKrwW9IXaueAd6Q9OMqNr8K8DPSnfria13SxWzR+4U6zy6nZbNJXYnqU+lmNqm+DBHxKjCM1K2K/P5kRDxfbRl1WAXYis/v52F8fj8Xx/ulz7PrSSt+RwtzDIo6klrBiipBw7ul9PLnxnxCw8fRzKxV8SxYZmaLISKulXQh0KuQNkLSS6SWD5G62fyjsPxjUr//0yVtABwNXCppXETc18DmppLuvl9Tx7LFfo5GHSotNqs3Uv41wNVK0xTvB5xQTxnVmgo8TRpvUla+iK+1RT0GU/n89MCVCQ1WLaWXPzemcy7fzGyJ4ADEzKxKklaNiHdLad2BlYF3StmvIw8eB24qdeuZLyJekjSYNMB4I+A+0l13JHXMwUrFQ6QBz6MjIj5XWNN7nDQo+lA+G+BdlztJLTo3k1rWby4sG0caA3Ion81S1ZiHgF2B18vfdyMqLT3N2RqwqMdgHLCGpOUiohJEvUEKQvYhHfeK/UrrNrZfPUmD+s3MlggOQMzMqvecpL+RWjPeJY11GEwaqH1jKe+NpK5W7SmNf5B0F2mMw1jSBf4BOd+InOXF/P5jSQ8DMyJiHGmw9pPAEEnXke64r0maSeuGiBjWVDsKEBHvSzoHOE/SssC9wHLAHsBZEfFWzvexpD+Rgqi/RMT7hTLmSToR+FPO8xfSgOpv5LxP17Hpm0itQsMkXUwaq9KNNDvV2xHxq3qqPC6/f0/SzcDMiHiunryL6kwW7Rg8BnQAvkpq3SEi5ubWs4uVngT/KGlGrg1L675ODgQlTQc+LX1vm5Fm9DIzWyJ4DIiZWfXOJt1tvowUhJxDmglri4h4rZgxIt4G/kmanah8d3oUaWrZP5MGIPcF9i9cVD4KXAT8OJdxZS7zv6SxETNJ07YOBc4idUt6mWYQEeeTukLtnOt6JanLzwelrH/N79eV0omIP5MurHuRBujflH+u8+GAudVnR9JsUGeRvutfk8baPNlAXSeQAsL9SBf81ba4VG1Rj0Fe79/AwNKiS4GfkwKuO0jTG59YWvdj4EjSeTIceKqyTFJv0nTGCztw3cysxag2rfhmZm2LpK6krkfHRsS1LV2f5pbv5B8ErJtn2LISSccBR0TEJk1Y5vnA5hHh54CY2RLDLSBmZk1I0or54X5XkFoJ/tLCVWpWkr4iaV9SK8kVDj4adBXQXVKTBAuSViC1jJzbFOWZmdWKx4CYmTWtvsAjpKePfzciZrZwfZrblcCWwN9JXdOsHhHxkaRDgRWaqMi1gbObeuyPmVlzcxcsMzMzMzOrGXfBMjMzMzOzmnEAYmZmZmZmNeMAxMzMzMzMasYBiJmZmZmZ1YwDEDMzMzMzqxkHIGZmZmZmVjP/H1XcKOvPqkY2AAAAAElFTkSuQmCC", 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" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with pulse.build() as schedule:\n", " pulse.play([0.001*i for i in range(160)], channel)\n", "schedule.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `play` instruction gets its duration from its `Pulse`: the duration of a parametrized pulse is an explicit argument, and the duration of a `Waveform` is the number of input samples.\n", "\n", "## `set_frequency`\n", "\n", "As explained previously, the output pulse waveform envelope is also modulated by a frequency and phase. Each channel has a [default frequency listed in the backend.defaults()](08_gathering_system_information.ipynb#Defaults).\n", "\n", "The frequency of a channel can be updated at any time within a `Schedule` by the `set_frequency` instruction. It takes a float `frequency` and a `PulseChannel` `channel` as input. All pulses on a channel following a `set_frequency` instruction will be modulated by the given frequency until another `set_frequency` instruction is encountered or until the program ends.\n", "\n", "The instruction has an implicit duration of `0`. \n", "\n", "**Note**: The frequencies that can be requested are limited by the total bandwidth and the instantaneous bandwidth of each hardware channel. In the future, these will be reported by the `backend`." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "with pulse.build(backend) as schedule:\n", " pulse.set_frequency(4.5e9, channel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `shift_phase`\n", "\n", "The `shift_phase` instruction will increase the phase of the frequency modulation by `phase`. Like `set_frequency`, this phase shift will affect all following instructions on the same channel until the program ends. To undo the affect of a `shift_phase`, the negative `phase` can be passed to a new instruction.\n", "\n", "Like `set_frequency`, the instruction has an implicit duration of `0`." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "with pulse.build(backend) as schedule:\n", " pulse.shift_phase(np.pi, channel)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `acquire`\n", "\n", "The `acquire` instruction triggers data acquisition for readout. It takes a duration, an `AcquireChannel` which maps to the qubit being measured, and a `MemorySlot` or a `RegisterSlot`. The `MemorySlot` is classical memory where the readout result will be stored. The `RegisterSlot` maps to a register in the control electronics which stores the readout result for fast feedback.\n", "\n", "The `acquire` instructions can also take custom `Discriminator`s and `Kernel`s as keyword arguments." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "from qiskit.pulse import Acquire, AcquireChannel, MemorySlot\n", "\n", "with pulse.build(backend) as schedule:\n", " pulse.acquire(1200, pulse.acquire_channel(0), MemorySlot(0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we know how to add `Schedule` instructions, let's learn how to control exactly when they're played.\n", "\n", "# Pulse Builder\n", "Here, we will go over the most important Pulse Builder features for learning how to build schedules. This is not exhaustive; for more details about what you can do using the Pulse Builder, check out the [Pulse API reference](https://qiskit.org/documentation/apidoc/pulse.html).\n", "\n", "## Alignment contexts\n", "The builder has alignment contexts which influence how a schedule is built. Contexts can also be nested. Try them out, and use `.draw()` to see how the pulses are aligned.\n", "\n", "Regardless of the alignment context, the duration of the resulting schedule is as short as it can be while including every instruction and following the alignment rules. This still allows some degrees of freedom for scheduling instructions off the \"longest path\". The examples below illuminate this.\n", "\n", "## `align_left`\n", "The builder has alignment contexts that influence how a schedule is built. The default is `align_left`." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with pulse.build(backend, name='Left align example') as program:\n", " with pulse.align_left():\n", " gaussian_pulse = library.gaussian(100, 0.5, 20)\n", " pulse.play(gaussian_pulse, pulse.drive_channel(0))\n", " pulse.play(gaussian_pulse, pulse.drive_channel(1))\n", " pulse.play(gaussian_pulse, pulse.drive_channel(1))\n", "\n", "program.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how there is no scheduling freedom for the pulses on `D1`. The second waveform begins immediately after the first. The pulse on `D0` can start at any time between `t=0` and `t=100` without changing the duration of the overall schedule. The `align_left` context sets the start time of this pulse to `t=0`. You can think of this like left-justification of a text document.\n", "\n", "\n", "## `align_right`\n", "Unsurprisingly, `align_right` does the opposite of `align_left`. It will choose `t=100` in the above example to begin the gaussian pulse on `D0`. Left and right are also sometimes called \"as soon as possible\" and \"as late as possible\" scheduling, respectively." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with pulse.build(backend, name='Right align example') as program:\n", " with pulse.align_right():\n", " gaussian_pulse = library.gaussian(100, 0.5, 20)\n", " pulse.play(gaussian_pulse, pulse.drive_channel(0))\n", " pulse.play(gaussian_pulse, pulse.drive_channel(1))\n", " pulse.play(gaussian_pulse, pulse.drive_channel(1))\n", "\n", "program.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `align_equispaced(duration)`\n", "\n", "If the duration of a particular block is known, you can also use `align_equispaced` to insert equal duration delays between each instruction." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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gZmZmVtWqPekohFtKrCXaYvIBTkDMzMysCrWFpKMpuevnZMQaM27cWIYNO6zSYRSdExAzMzOruLaecDTFyYi1N05AzMzMrCLac9LRGHfVslxtsfUD/BwQMzMzK6NX5nSo/7HmeXu1b1ddeWWlQygJJyBmZmZmZlXo9DPOqHQIJeEuWGZmZlYyvnJfPB4r0v4sW7as0iGUhFtAzMzMrKjcbaj0vI3bh/vvv6/SIZSEW0DMzMxsnflEuHI8cL3tuvDCiyodQkm4BcTMzMzMrAo99uijlQ6hJNwCYmZmZi3iVo/q5LEibccmm2xS6RBKwgmImZmZFcQJR+vjZKR1O+DAAysdQkm4C5aZmZmZWRW65JIfVDqEknALiJmZmTXKrR5thwertz4XXHBhpUMoCScgZmZmtgYnHe2Du2dVv7ffXtAmx4G4C5aZmZmZWRUaP258pUMoCbeAmJmZtXNu8TC3hlSnc887r9IhlIQTEDMzs3bISYc1xmNFqsf9993HCSeeWOkwis5dsMzMzMzMqlDvPr0rHUJJuAXEzMysnXCrh7WEu2dVzl577V3pEErCLSBmZmZt1CtzOqzxY7auvD+V14gR51c6hJJwAmJmZmZmVoVGjfphpUMoCXfBMjMza0N8ZdrKxV2zSu/1119nl112qXQYRecExMzMrJVz0mGV5jtnlcaU559vkwmIu2CZmZmZmVWhM848s9IhlIQTEDMzs1bIg4Gtmnn/LI67776r0iGUhLtgmZmZtQI+kbPWymNFWm7nndte9ytwAmJmZla1nHRYW+OxImtnwIABlQ6hJNwFy8zMzMysCp37nXMqHUJJuAXEzMysirjVw9oTd89q2g033lTpEErCCYiZmVkFOeEwS5yMfNa0adPaZDcsJyBmZmZl5qTDrGlORpKXX/6TExAzMzNrGScdZi3TngeuDx9+cqVDKAkPQjczMzMzq0K33HxzpUMoCbeAmJmZlYBbPMxKoz11z9pzr70qHUJJOAExMzMrEicdZuXV1pOR7bbbrtIhlIS7YJmZma2DV+Z0qP8xs8rJ/V9sK/+Pl1zyg0qHUBJuATEzM1tLbeXkxqwtawutI2PGXFvpEEqiahIQSSOBy7OXASwB3gB+B9wYEW/llBVwMXAWsCkwFTg3Iv63jCGbmVkb5iTDrO1o6v+5mpOT55+fzF577V3pMIquahKQzBJgSPb3JkANKck4XdKQiJievfefwKXABcCrwPeApyXtnJuomJmZrQ0nHWbtTzW3lMx9cy60wXHoiohKxwDUt4CcExGb5k3vBkwCNgC2BzoBC4BrI+LKrMyGwGzgloi4BKCmpiYmTnquXOGbmVkr5ITDzBpTbclIpWy8UdfpEVHUpyFWWwvIZ0TEe5IuBMYDBwPLgY2BB3PKfCTpcWAocElFAjUzs6rlRMPM1lY1dNu64frrOfe888ryWeVU9QlIZgKwAhgIvA2sBF7PK/Nn4KvlDcvMzKqFkwwzK5fG6ptiJyZDhw0t6vKqRatIQCLiE0nvAJ8HPgU+jIj8b3gx8DlJ60fE8rIHaWZmZeFEw8yqVbFbTTbb7PPrEk7VahUJSEaVDsDMzErHiYWZtWWF1nG5ico114xm1KgfliqkimkVCYikLkBP0uDzxUBXSR3yWkG6Ax/XtX7MnDmTjTfqWv5gzczMzMyK5Ibrr690CEXXKhIQYH9SrC+QumB1ALYFXsspsz3plrwA9O/fH98Fy8zMzMxaq2efeYYDDjywojGU4oL+ekVfYpFlt+G9mvRQwqeBKcD7wHE5ZT4HHEG6U5aZmZmZWau3ZMmSSodQEtXWAtJR0sDs742AWtKDCD8HDMm6XK2U9P+ASyUtZvWDCNcDbqxAzGZmZmZmRXfU0UdXOoSSqLYWkE1I3aymAA8BxwK/BHbJeQo6wP8DfghcDDxBei7IwRGxoLzhmpmZmZmVxujRV1c6hJKomiehF5ufhG5mZmZmrdmbb75Jnz59KhpDKZ6EXm0tIGZmZmZmBnTu3LnSIZSEExAzMzMzsyp06y23VDqEknACYmZmZmZWhS697LJKh1ASZU1AJB0laa6kDyX1L+dnm5mZmRXq3Xff5ZSTh7PnoIFcO2ZMpcOxdmrcuLGVDqEkyt0CMgY4JyK6RsTMMn+2mZmZtQJ33HE73z77rDWmHXHE4Q1Oe3J8aR4B9sjDD9OtW3een/IC548YUZLPMGuvyp2A9AVeaegNSdX2TBIzMzOrgJqaWmbNmsXKlSsBWLhwIStWrODVV19dY9rcN9+kpra2JDHMnz+Pbb6wDZLWet4VK1aUICJrj4YNO6zSIZREswmIpNmSRkh6SdISSQ9I6pLz/mmS3pC0SNJvJG3ZwDI6S/oQ6ADMkvTXnGVfJOkl4CNJHSUNlDRF0nuSZkkanLOcrSVNlPSBpKck3STpl0XYDmZmZlYldt55Z1asWMFrr70GwIwZM9h9wO7069dvjWm9e/dmypQpHPWVI9lz0EAOGzaUhx96qH45R33lSCZNnFj/esWKFew/eD/+/Of/A+Cll2bxzW9+g7333ovjjzuWqVOnAnDppZfw+OOPc/dddzFo4B68+OKLLF++nNGjr+bggw7k4IMOZPToq1m+fDkAU6dO5ZCDD+KuO+/kwAP25/LLLuPnP/8ZI0acz/cvvpg9Bw3k2GOOZs7s2dxxx+3sP3g/Dj3kYKZMmVKW7WlWbQptATkeGAJsDewKDAeQdADw4+z9LYA5wP35M0fEsojomr38YkR8IeftE4HDgG7A54GxwCigBzACeERSr6zsr4DpwKbAVcC3CozfzMzMWolOnTqx8867MH16egbxjOnTqampYbf+/fOm1dKjRw9uuPEmnp/yAldceRVjxlxTn2AMGTKU8U+u7qI1ZcoUunXrxg477MiCBQv4zjnncNpppzNp0nP8x/fOZ8T532PRokVcddUohg4bxvCTT+aFF//AwIEDuf222/jTSy/xwAMP8sCDD/Hyyy9z26231i/73XffZcmSJYx/8rf1A4cnTZzI4YcfzqTnJrP99ttz1llnsmrVKn731NOcfsYZjLrqynJtUrOqUmgCckNEzIuIRcDjwG7Z9K8Dd0bEjIhYRnoy+SBJ/dYihhsiYm5ELAVOAsZFxLiIWBURTwHTgGGS+gC7A5dmCc2kLBYzMzNrY2oH1DIjSzZmzpxB/5oaampq1phWO6CWfffdl969eyOJAQMGMHDQIGbMmAHA0GHDmDhhAkuXLgVg/PhxDBkyFIBxY8ey9977sM8++7DeeusxaNAgdtxxJyZPbvghxuPGjeX0M86kR8+e9OjRgzPPOJMnxj5R/74kzjr7bNZff326dEkdRfrX1LDnXnvRsWNHDj74EBYvXswpp5xKp06dGDJkKPPmzeP9998vzQY0q2KFjrt4K+fvj4G6blZbAjPq3oiIDyW9C2wFzC5w2XNz/u4LHCfpiJxpnYDfZ5+1OCI+ynlvDtC7wM8xMzOzVqK2ppYHH3iAJUuWsHjxYvr27UvPnj259JJLWLJkCW+88Qa1NbVMnvwct9x8M3PmzGFVBJ8sXcp2224HQJ8+fdh6622YNHEi++63HxMnTOCsBx4EYN78eTz11O+YOCmni9ann7L77rs3GM/ChQvZYost6l9vseWWLHz77frX3bv3+MxD43r26Fn/d+cuXejWvTsdOnRIr7OyS5d+zMYbb7wum8qs1VnXgd/zSEkDAJI2BHoC/1yLZUTO33OBX0TEafmFJPUFukvaMCcJ6ZM3v5mZmbUBu37xi3zwwQc8+sgjfHG33QDo2rUrvXptxqOPPEKvXr3otdlmHHPM0Vw1ahSDB+9Pp06d+O53zyNyTg2GDE3dsFbFKrbZZhv69OkDwOabb85hhx/O5ZePLCieXr16MX/+fLbddlsA5s+fT6/NNqt/vwVj1c3arXW9C9Z9wMmSdpPUGfgR8IeImN3C5f0SOELSoZI6SOoiabCkf4mIOaTuWFdIWl/S3sARTS/OzMzMWqMuXbqw40478Ytf3EtN/5r66f3790/Tamv59NNPWb58Od2796Bjx45MnvwcL77wwhrLGTJkCC++8AIPPfggQ4cNq59+2GGHM2niRKY8/zwrV65k2bJlTJ06lQUL3qIhQ4YO5bbbbmXRokUsXryYW2+5hcMOa5t3KDIrtXVKQCLiaeBS4BFgPvAF4IR1WN5c4Ejg+8BCUovIBTlxfg3YA1gEXA7cmzt/9oDDfVr6+WZmZlY9BtQOYNGiRfSvWf3s4v41NSxatIjamlo23HBDLrzoP7nwghHss8/ejB83nv32G7zGMnr16sWuu+7KrFmzOPTQIfXTN998c6677vr6u1INOfQQ7rnnblatarhjxWmnnc5OO+7E8ccdy3HHHsMOO+zAaaedXpL1NmvrFNF6ezBJGglsGxEn5b9XU1MTEyc1PJDMzMzMzMyat/FGXadHxIBiLrPcDyI0MzMzM7N2zAmImZmZmZmVzbreBauiImJkpWMwMzMzM7PCuQXEzMzMzMzKxgmImZmZmZmVjRMQMzMzMzMrGycgZmZmZmZWNk5AzMzMzMysbJyAmJmZmZlZ2bTq2/Ca2We9MqfDWs+zU9+VJYjEzKw6uZ40qywnIGatREsOmMVetg/AZlbNXE+atQ5OQMyqWCkPpi2RG48PsmZWadVWR4LrSbNCOAExqyLVeDBtTH6sPtCaWTm01nrSdaTZak5AzCqsNR1Mm+IDrZmVSluoJ33Rxmw1JyBmFdAWDqZNcTJiZuvK9aRZ2+UExKxM2vrBtDG+6mdmhWivdSQ4GbH2xwmIWYm054NpU3ygNbM6ric/yxdtrD1wAmJWRD6Yrh0nI2btj+vJteN60toiJyBm68gH0+LwQdasbXIdWTyuJ62tcAJitpZ8MC09d0Ewa91cT5aekxFrzdardABmZmZmZtZ+uAXErAC+mldZvtJnVv1cT1aOW42ttXECYtYIH0yrk5MRs+rherI6uZ60aucuWGZmZmZmVjZuATHL+Epe6+NuB2bl5Xqy9XFriFUjJyDWrvlg2rb4QGtWfK4n2w5ftLFq4S5YZmZmZmZWNm4BsXbHV/PaB7eGmLWc68n2wfWkVYoTEGsXfDBt33yQNWua60hzPWnl5C5YZmZmZmZWNm4BsTbJV/OsMR6EaZa4nrTGuJ60UnMCYm2GD6bWEu52YO2J60lrCdeTVmzugmVmZmZmZmXjFhBr1Xw1z4rJV/msrXEdacXmetKKwQmItSo+mFq5uA+0tVauJ61cnIxYS7kLlpmZmZmZlY1bQKzq+WqeVQNf6bNq5nrSKs2txrY2nIBYVfLB1KqZkxGrBq4nrZq5nrSmuAuWmZmZmZmVjVtArGr4ap61Ru52YOXiOtJaK7eGWD4nIFYxPphaW+QDrRWT60lra3zRxsAJiJWZD6bWnjgZsZZwPWntievJ9sljQMzMzMzMrGzcAmIl56t5Zr7KZ41zHWmWuJ5sP5yAWNH5YGrWNPeBNteTZk1zMtK2OQGxovDB1KzlfKBtH1xPmrWML9q0PU5ArMV8MDUrPicjbYfrSLPScD3Z+jkBsYL5YGpWXr7q1/q4njQrLycjrZMTEGuSD6Zm1cMH2urketKsOviiTevhBMQ+wwdTs+rnZKSyXE+aVT/Xk9XLCYgBPpiatWa+6ld6riPNWjcnI9WlahIQSSOBy7OXASwB3gB+B9wYEW/llD0bOAwYCPQA9o+ICeWMt7XzwdSs7fKBtjhcT5q1Tb5oU3lVk4BklgBDsr83AWqAs4DTJQ2JiOnZe98kJSm/BU4se5StiA+gZu1bY3WAD7iJ60gzcz1ZftWWgKyIiBdzXv9W0s+BScD9kraPiJXAnhGxStLOOAFZgw+mZlaI9nwF0PWkmRXCrcmlU20JyGdExHuSLgTGAwcDT0bEqgqHVXE+gJpZMbW1K4CuI82smJqqU1prPVlJVZ+AZCYAK0hjPp6sbCjl4wOomVVatR90XU+aWaVVez1ZjVpFAhIRn0h6B/h8pWMpBR9Azaw1KtdB13WkmbVWba11uVhaRQKSUaUDWFs+aJpZe+X6z8yscYXWkW01UWkVCYikLkBPYEGh88ycOZONN+pauqDMzMzMzGyttYoEBNifFOsLhc7Qv39/Jk56rnQRmZmZmZm1caW4oL9e0ZdYZJK6AVeTHkr4dGWjMTMzMzOzdVFtLSAdJQ3M/t4IqCU9iPBzwJDsGSBIGgD0A3pnZfeTtCkwOyKmlTdkMzMzMzMrVLUlIJuQulkF8D6p1eOXwI0R8VZOuXOAb+W8Hpn9vgcYXvIozczMzMysRaomAYmIkaxOJJorOxwnGmZmZmZmrU7VjwExMzMzM7O2wwmImZmZmZmVjRMQMzMzMzMrm7ImIJKOkjRX0oeS+pfzs81stXfffZdTTh7OnoMGcu2YMZUOx8ys6rieNCudcreAjAHOiYiuETGzzJ9tVhXuuON2vn32WWtMO+KIwxuc9uT48SWJ4ZGHH6Zbt+48P+UFzh8xoiSfYWbWUq4nzdq2cicgfYFXGnpDUtXckcuslGpqapk1axYrV64EYOHChaxYsYJXX311jWlz33yTmtraksQwf/48tvnCNkha63lXrFhRgojMzFZzPWnWtjWbgEiaLWmEpJckLZH0gKQuOe+fJukNSYsk/UbSlg0so7OkD4EOwCxJf81Z9kWSXgI+ktRR0kBJUyS9J2mWpME5y9la0kRJH0h6StJNkn5ZhO1gVjY777wzK1as4LXXXgNgxowZ7D5gd/r167fGtN69ezNlyhSO+sqR7DloIIcNG8rDDz1Uv5yjvnIkkyZOrH+9YsUK9h+8H3/+8/8B8NJLs/jmN7/B3nvvxfHHHcvUqVMBuPTSS3j88ce5+667GDRwD1588UWWL1/O6NFXc/BBB3LwQQcyevTVLF++HICpU6dyyMEHcdedd3LgAftz+WWX8fOf/4wRI87n+xdfzJ6DBnLsMUczZ/Zs7rjjdvYfvB+HHnIwU6ZMKcv2NLO2x/WkWdtWaAvI8cAQYGtgV7JncEg6APhx9v4WwBzg/vyZI2JZRHTNXn4xIr6Q8/aJwGFAN+DzwFhgFNADGAE8IqlXVvZXwHRgU+Aq1nwYoVmr0KlTJ3beeRemT58OwIzp06mpqWG3/v3zptXSo0cPbrjxJp6f8gJXXHkVY8ZcU3/gHDJkKOOfXN31YMqUKXTr1o0ddtiRBQsW8J1zzuG0005n0qTn+I/vnc+I87/HokWLuOqqUQwdNozhJ5/MCy/+gYEDB3L7bbfxp5de4oEHHuSBBx/i5Zdf5rZbb61f9rvvvsuSJUsY/+RvufSyywCYNHEihx9+OJOem8z222/PWWedyapVq/jdU09z+hlnMOqqK8u1Sc2sjXE9ada2FZqA3BAR8yJiEfA4sFs2/evAnRExIyKWARcDgyT1W4sYboiIuRGxFDgJGBcR4yJiVUQ8BUwDhknqA+wOXJolNJOyWMxandoBtczIDqIzZ86gf00NNTU1a0yrHVDLvvvuS+/evZHEgAEDGDhoEDNmzABg6LBhTJwwgaVLlwIwfvw4hgwZCsC4sWPZe+992GeffVhvvfUYNGgQO+64E5MnP9dgPOPGjeX0M86kR8+e9OjRgzPPOJMnxj5R/74kzjr7bNZff326dEkNoP1rathzr73o2LEjBx98CIsXL+aUU06lU6dODBkylHnz5vH++++XZgOaWZvnetKs7Sp03MVbOX9/DNR1s9oSmFH3RkR8KOldYCtgdoHLnpvzd1/gOElH5EzrBPw++6zFEfFRzntzgN4Ffo5Z1aitqeXBBx5gyZIlLF68mL59+9KzZ08uveQSlixZwhtvvEFtTS2TJz/HLTffzJw5c1gVwSdLl7LdttsB0KdPH7beehsmTZzIvvvtx8QJEzjrgQcBmDd/Hk899TsmTsrpevDpp+y+++4NxrNw4UK22GKL+tdbbLklC99+u/519+496Ny58xrz9OzRs/7vzl260K17dzp06JBeZ2WXLv2YjTfeeF02lZm1U64nzdqudR34PY+UNAAgaUOgJ/DPtVhG5Pw9F/hFRJyWX0hSX6C7pA1zkpA+efObtQq7fvGLfPDBBzz6yCN8cbfdAOjatSu9em3Go488Qq9evei12WYcc8zRXDVqFIMH70+nTp347nfPI3J2+SFDU/eCVbGKbbbZhj59+gCw+eabc9jhh3P55SMLiqdXr17Mnz+fbbfdFoD58+fTa7PN6t9vwRhMM7N14nrSrO1a17tg3QecLGk3SZ2BHwF/iIjZLVzeL4EjJB0qqYOkLpIGS/qXiJhD6o51haT1Je0NHNH04syqU5cuXdhxp534xS/upaZ/Tf30/v37p2m1tXz66acsX76c7t170LFjRyZPfo4XX3hhjeUMGTKEF194gYcefJChw4bVTz/ssMOZNHEiU55/npUrV7Js2TKmTp3KggVv0ZAhQ4dy2223smjRIhYvXsytt9zCYYcdVpqVNzMrgOtJs7ZrnRKQiHgauBR4BJgPfAE4YR2WNxc4Evg+sJDUInJBTpxfA/YAFgGXA/fmzp894HCfln6+WTkNqB3AokWL6F+z+pmc/WtqWLRoEbU1tWy44YZceNF/cuEFI9hnn70ZP248++03eI1l9OrVi1133ZVZs2Zx6KFD6qdvvvnmXHfd9fV3Wxly6CHcc8/drFrVcIPhaaedzk477sTxxx3Lccceww477MBpp51ekvU2MyuU60mztkkRrbcHk6SRwLYRcVL+ezU1NTFxUsMDyczMzMzMrHkbb9R1ekQMKOYyy/0gQjMzMzMza8ecgJiZmZmZWdms612wKioiRlY6BjMzMzMzK5xbQMzMzMzMrGycgJiZmZmZWdk4ATEzMzMzs7JxAmJmZmZmZmXjBMTMzMzMzMrGCYiZmZmZmZVNq34SelMkLQTmVDiMTYF3KhyDVT/vJ1Yo7ytWCO8nVijvK1aIf4uIjYq5wFb9HJCmRESvSscgaVqxH11vbY/3EyuU9xUrhPcTK5T3FSuEpGnFXqa7YJmZmZmZWdk4ATEzMzMzs7JxAlJat1Y6AGsVvJ9YobyvWCG8n1ihvK9YIYq+n7TZQehmZmZmZlZ93AJiZmZmZmZl4wTEzMzMzMzKxglIkUnaUdIzkj6WNE/SlZI6VDouqw6StpL0oaSQ1DWbtoWkayTNyt6bK+keSVtWOl4rL0knSJqR7Qf/lHRvU/uBpJ9m+9KYcsZp5SVpW0m3SHpJ0kpJE/LeX6s6RNLpkl6W9ImkBZIeKMuKWEk1t5/klNtF0hOSlkj6QNIfJdXmlVmrushaD0nHSfpN9r1+KGm6pBPzynxV0qOS5mfHmOGNLGsrSY9l+9E7km6S9LlC4nACUkSSugNPAwEcCVwJnA9cUcm4rKpcA3yYN60WOAq4DzgCuADYA5hSl6RY2yfpy6R9YAqp/rgI2BcYK+kzdbWkHYFTgffLGadVxE7AMOA14C8NvF9wHSJpFDAauBs4FPgOfhBdW9HcfoKk3Uh1zHvAV4HjgMeBDXLKrFVdZK3O90jnIf8BfBn4PfArSd/JKXMs0A94orGFSOoE/BboC5wAnEfanwoasO5B6EUk6WLgQqBvRLyfTbsQGAlsXjfN2idJ+wL/A/yIlIhsFBEfSuoGfBgRK3LK/ivpIDI8Iu6pQLhWZpLuB7aLiNqcaV8Gfg3sGBF/ziv/DOkE4RvAwxExopzxWvlIWi8iVmV/PwxsGhGDc97vRgF1iKSdgJeAIRHxVPnWwMqhuf0km/4i8LeI+FoTy1mrushaF0mbRsQ7edN+BQyKiK2z1+tFxKrsAsYHwMkRcXfePCcCvwS2jYi/Z9OOB+4nPTn99abicCZbXEOB3+YlGveTrizsV5mQrBpk3fBuJLWKrfGPHxHv5Z44ZNP+AnwMuMm7/egELMmb9l72W7kTJR0LbA/8v9KHZZVWd1LZxPuF1iHfAt5w8tE2NbefZK2me5CORU0puC6y1ic/+cjMJKeuaG5fygwFptYlH5n/AZYDQ5qb2QlIcW0PvJo7ISLeJB0Etq9IRFYtzgQ6A/9VSGFJuwKfo5FmdGuT7gT2kfRNSRtnV7BHAc9GxP/VFZK0AXAt8J8R8VGFYrUq10gdsgfwsqSRWX/tZZKelrRDZaK0Mtsj+909Gy+0QtJfJZ2aV66gusjalEGs/flGQ+e8y4G/UsA5rxOQ4urO6qsEuRZn71k7JKkncBXwvYj4tIDy6wHXA68DvylxeFYlImIsMJzUf3YJqftMB+CYvKIXA/NJTd9mn9FEHbI5cAhwPHAaqZ93L+BJSV3KHaeV3ebZ73uB/wYOBp4Ebpc0rK7QWtRF1gZIOhD4CunC1tpYp3NeJyBmpfdD4MWIGFdg+R+TrkZ8o5CExdoGSfsDN5NOHPcnDerrATyWdeFD0tbACOC88AA+a1xjdYiADYFjIuKxiHicNHh9K+Dr5Q/Tyqyu+9TtETE6In4fEd8mDUK+uL5QAXWRtQ2S+gG/An6dP8aj1DqW88PagcXAJg1M7569Z+1MNujzFGDfbKAopG4RAJtIWhkRS3PKn026g82JEfGHsgZrlXYt8JuIuKhugqT/JTVxHwk8ShrzMR54LWd/Wg/onL1e4sSkfWumDlkMLMgdRBwRf5M0G9ixfFFahdSdh/w+b/qzpDsi1SmkLrJWTlIP0vFkDi27ANHUOe+s5mZ2C0hxvUpevzdJvUknnK82OIe1dduRBvS9QPpnXczqcSD/IGcwoKRjstcXRoTvy9/+bA/8b+6EiHgNWAp8IZv0b8DRrN6XFgO9gXOyv7cqU6xWhQqoQ/5Mw4OIBRQy6NRat7rEM38fyP/+C6mLrBXLntXxBLA+cHhEfNyCxTR0zrs+sA0FnPO6BaS4xgMXSNooIj7Ipn2V9E87sXJhWQVNJjVh5xpCuq/6MOBvAJIGk/rk3hgRfqhc+zQHqMmdkA0O3gCYnU36dyD/2TD3k+qXnwMLSxuiVasC65AngG9J2rFuMLGkL5Du49/sFUtr9aaQLlQcQBr7UedA1vz+C6mLrJWS1BF4iHSBdM+IeLuFixoPfE1S34iYk037MumGO082PlviBKS4bgbOBR6VdDUpCxwJ/MTPAGmfstvdTcidlvW5BHguew7IDqRb170KPCBpYE7xhRHx1zKEapV3M/BTSfNIFfvngctIB/xxABExLX8mSZ8AcyNiQtkitbLKrlbWDRLeCtg4uxUzpH2jL4XVIY8BM0jHqEuAlaRbg/8FcKtrK9fcfhIRH0u6Ehgt6T1gKmlg+b6s+aiAZusia9V+RtpPzgN6ZjfKqTMzIpZlt2zeEai7OcUASR+S6pO6C+oPAz8g1SeXkrpj/RT4VXPPAAE/iLDosi/tJtIAwPeA24GREbGyknFZ9ZA0HLiL1Q8irHvdkHsiYniZQrMKkiTS7ZrPInVzeI/UgnZxRPytiflm4wcRtmnZRYu/N/L21sBgCqxDJH0euI50ArIe8DTppgZvFidaq5Tm9pOImJ2V+x7wHVKS8hpweUTUj+toaV1krUN2zOjbyNtbR8RsSSOByxt4f2LeQ1D/hXTOexCwjNQif0EhXbqcgJiZmZmZWdl4ELqZmZmZmZWNExAzMzMzMysbJyBmZmZmZlY2TkDMzMzMzKxsnICYmZmZmVnZOAExMzMzM7OycQJiZrYWJA2XNF3SB5IWS5op6SdF/owvZfdhbxckjZT0ThGW86/ZsrrlTR8uKSTlP0W+7CT9RlJD99fPLXN4Fm+/7PVm2Xr1yys3QNIiSZuULmIzs+JzAmJmViBJF5MeLvpb4Gjgm8CvgS8X+aO+RMMPgbKm/Stpu3XLmz6W9HDYZh+OVUqS9gAOAG5cy1k3I61Xv9yJETENmAn8RzHiMzMrl46VDsDMrBU5B7glIr6fM+1xSVdUKiBrXkQsBBZWOg7gXODXEbGoiMu8CxgjaVRErCjics3MSsYtIGZmhesGvJU/MSKi7m9Jf5R0d34ZSXdLmpn93UnSGElvSlomaZ6kxyStL2k42RXyrBtOSJqQs5ydJY3NuoB9IOkhSZvnvD84m+dASb+W9JGk1yUdIqmDpGskvSPpn5K+V8hKSzpN0p8kfSJpgaSHJW0iaZikVZK2ziu/dTb9yJxpR2XbZqmkdyWNk9S3ic/sIenW7PM+kTQla0ForPxg4PHs5d+zbTA7e2+NLliS+mWvT5B0l6T3Jf1D0knZ+xdm38lCSVdLWi/vs5r8DhqJbyPgKODhvOnKule9nS3rXmDjnPf7AX/KXv6+bp/IWcRvgB7AoU19vplZNXECYmZWuBnAdyR9S1LPRsrcARybO94g+/tY4M5s0sXA14FLgYOB7wJLgA6k7kLXZuUGZT9nZ8vZFnge6AKcBAwHdiK1wigvjluAyaST3jmkE9+bgI2Ar2Wvr23qpD77zEuyZU0EvgKclcXaldQVbR7wrbzZhgNvZ+uCpG8AjwJ/BY4HTgb+AvRq5DM7A08DBwEXZJ+7EHi6iRP9GcCI7O+jSdvtqKbWDbgamA8cAzwH3CPpWlIXuFOA64ALs5jrYlub7yDXnsAGwJS86ecClwG3kvaRpcDonPfnk/YVgG+zep8AICLeB14hbSszs9YhIvzjH//4xz8F/AC7An8DAlhFOvG7Etg4p8zGwEfAyTnTTgGWAT2z108A1zbxOeeQNazkTf8F8Bqwfs607YCVwGHZ68FZfJfnlNkxm/ZszrT1SK05VzcRRzfSuImfNFFmFPB3QNlrAbOBMTmf80/g0SaWMRJ4J+f1qcByYLucaR1JCcw1TSzn8Gw9++VNH55N75q97pe9vivve/sUeB3okDP9j8ADa/MdNBLb94GFedM6kBK4n+dNfyp3PYCds9eDG1n23cDzlf7/8I9//OOfQn/cAmJmVqCIeAnYgTTo/Gekk+1LgWl1LR6Rrkg/TDrprTMc+E1EvJu9/l9geNbVZ9dmrpznOgh4DFglqaOkjqST/9nAgLyyz+T8/Ub2+9mcdVlFSqa2auLzBpGu2t/VRJk7gb6kxAdg/+x13Tz/BmzZzDLyHQRMJ3WlqltPSK0w+eu5Luq3Ufa9LQQmRsTKnDJvsOY2WpvvINfmQP6dvnoDW5BuZJDr0bVYB7LlNtkFzMysmjgBMTNbCxGxLCIej4hzImJH4N9JV8BPzSl2B7CPpG0kfQHYh9XdryC1GvwXqWvVLGCupPMK+PhNgYtIV+pzf7Yhnczmei8n5uX50zLLSV2JGlPXzWx+YwUi4m/ABFK3KrLff4yIVwpdRgM2BQby2fU8mc+u57p4L+/18kam5W6jtfkOcnUhtYLlqksa3s6bnv+6Octo+ns0M6sqvguWmdk6iIg7JI0Gts+ZNknS66SWD5G62fwu5/1PSP3+L5O0HXAmcJ2k1yLiySY+bhHp6vvtDby3zs/RaEBdi80WzSz/duA2pdsUHw2c38gyCrUImEYab5Iv/yS+3Fr6HSzis7cHrruhwWZ50/NfN6dbtnwzs1bBCYiZWYEkbRYRb+dN6wVsAizIK34n2eBx4N68bj31IuJ1SSNIA4x3BJ4kXXVHUpcsWanzDGnA8/SIiM8srPheIA2K/harB3g35FFSi879pJb1+3Pee400BuRbrL5LVXOeAQ4B3szf3s2oa+kpZWtAS7+D14AtJXWOiLokai4pCTmS9L3XOTpv3ubWqx9pUL+ZWavgBMTMrHB/kvRrUmvG26SxDiNIA7XvySt7D6mrVUfyxj9Ieow0xmEm6QT/2KzcpKzIq9nv8yQ9C7wfEa+RBmv/ERgr6U7SFfetSHfSujsiJhRrRQEi4j1JVwE/lLQ+MA7oDBwGXBER/8zKfSLpv0lJ1H0R8V7OMlZJuhD476zMfaQB1QdkZac18NH3klqFJkgaQxqr0pN0d6q3IuKnjYT8Wvb7DEn3Ax9HxJ8aKdtSI2nZd/A80AnYhdS6Q0SszFrPxig9Cf450h25dsib902yRFDSEuDTvO02gHRHLzOzVsFjQMzMCncl6WrzDaQk5CrSnbC+FBF/zy0YEW8BfyDdnSj/6vQU0q1lf0UagFwLHJNzUvkccA1wXraMW7Jl/oU0NuJj0m1bxwNXkLolvUEJRMSPSV2hDspivYXU5eeDvKL/k/2+M286EfEr0on19qQB+vdmfzf4cMCs1Wd/0t2griBt6+tJY23+2ESsc0gJ4dGkE/5CW1wK1tLvIJvvZWBo3lvXAT8iJVyPkG5vfGHevJ8Ap5H2k4nA1Lr3JPUn3c54bQeum5lVjMrTim9m1r5I6kHqenRORNxR6XhKLbuSfzywTXaHLcsj6T+AUyNi5yIu88fA7hHh54CYWavhFhAzsyKStFH2cL+bSK0E91U4pJKS9G+SjiK1ktzk5KNJtwK9JBUlWZC0IallZFQxlmdmVi4eA2JmVly1wO9JTx//ZkR8XOF4Su0WYA/gN6SuadaIiPhI0reADYu0yD7AlcUe+2NmVmrugmVmZmZmZmXjLlhmZmZmZlY2TkDMzMzMzKxsnICYmZmZmVnZOAExMzMzM7OycQJiZmZmZmZl8/8BEPBffaEaLlcAAAAASUVORK5CYII=", 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" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with pulse.build(backend, name='example') as program:\n", " gaussian_pulse = library.gaussian(100, 0.5, 20)\n", " with pulse.align_equispaced(2*gaussian_pulse.duration):\n", " pulse.play(gaussian_pulse, pulse.drive_channel(0))\n", " pulse.play(gaussian_pulse, pulse.drive_channel(1))\n", " pulse.play(gaussian_pulse, pulse.drive_channel(1))\n", "\n", "program.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `align_sequential`\n", "\n", "This alignment context does not schedule instructions in parallel. Each instruction will begin at the end of the previously added instruction." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with pulse.build(backend, name='example') as program:\n", " with pulse.align_sequential():\n", " gaussian_pulse = library.gaussian(100, 0.5, 20)\n", " pulse.play(gaussian_pulse, pulse.drive_channel(0))\n", " pulse.play(gaussian_pulse, pulse.drive_channel(1))\n", " pulse.play(gaussian_pulse, pulse.drive_channel(1))\n", "\n", "program.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Phase and frequency offsets\n", "\n", "We can use the builder to help us temporarily offset the frequency or phase of our pulses on a channel." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with pulse.build(backend, name='Offset example') as program:\n", " with pulse.phase_offset(3.14, pulse.drive_channel(0)):\n", " pulse.play(gaussian_pulse, pulse.drive_channel(0))\n", " with pulse.frequency_offset(10e6, pulse.drive_channel(0)):\n", " pulse.play(gaussian_pulse, pulse.drive_channel(0))\n", "\n", "program.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We encourage you to visit the [Pulse API reference](https://qiskit.org/documentation/apidoc/pulse.html) to learn more." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.22.3
qiskit-aer0.11.2
qiskit-ignis0.7.0
qiskit-ibmq-provider0.19.2
qiskit0.39.4
System information
Python version3.10.6
Python compilerGCC 11.3.0
Python buildmain, Nov 14 2022 16:10:14
OSLinux
CPUs4
Memory (Gb)3.7695083618164062
Thu Dec 22 18:42:20 2022 JST
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" }, "vscode": { "interpreter": { "hash": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1" } } }, "nbformat": 4, "nbformat_minor": 4 } ================================================ FILE: tutorials/circuits_advanced/07_pulse_scheduler.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Using the Scheduler\n", "\n", "The scheduler will translate a `QuantumCircuit` into a Pulse `Schedule`, using gate and measurement _calibrations_: an optimized pulse-level description of an operation on particular qubits.\n", "\n", "Backends that are OpenPulse enabled will typically have calibrations defined for measurements and for each of its basis gates. Calibrations can also be defined or updated by the user.\n", "\n", "## Basic usage\n", "\n", "To start, build a quantum circuit as you would normally. For our example below, we create a simple Bell state." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import QuantumCircuit\n", "\n", "circ = QuantumCircuit(2, 2)\n", "circ.h(0)\n", "circ.cx(0, 1)\n", "circ.measure([0, 1], [0, 1])\n", "\n", "circ.draw(\"mpl\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll use the mocked backend, `FakeHanoi`, to demonstrate how to use the scheduler. It contains default calibrations for measurement and for its basis gates. The Hadamard operation is not one of those basis gates, so we use the transpiler to compile our input circuit to an equivalent circuit in terms of the basis gates of the device." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from qiskit import transpile, schedule as build_schedule\n", "from qiskit.providers.fake_provider import FakeHanoi\n", "\n", "backend = FakeHanoi()\n", "\n", "transpiled_circ = transpile(circ, backend) # Undefined Hadamard is replaced by U1\n", "schedule = build_schedule(transpiled_circ, backend)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see how our schedule `schedule` built from the circuit `transpiled_circ` looks." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "schedule.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That covers the basics! We used the transpiler to rewrite the circuit in terms of the basis gates, and then used the backend's default calibrations to schedule the transpiled circuit. Next we will go through scheduling with calibrations we will build ourselves.\n", "\n", "## Scheduling with custom gate definitions\n", "\n", "If your input circuit has calibrations defined, it will use those calibrations when scheduling your circuit." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from qiskit import pulse\n", "\n", "with pulse.build() as h_q0:\n", " pulse.play(pulse.library.Gaussian(duration=256, amp=0.2, sigma=50, name='custom'),\n", " pulse.DriveChannel(0))\n", "\n", "circ.add_calibration('h', [0], h_q0)\n", "\n", "schedule = build_schedule(circ, backend)\n", "schedule.draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that the initial pulse on `D0`, the Hadamard gate, is now implemented with our custom pulse.\n", "\n", "## Scheduler methods\n", "\n", "The scheduler can follow multiple routines. By default, it follows an _as late as possible_ (ALAP) rule. Another scheduling method is _as soon as possible_, (ASAP). For both methods, the output schedule is minimal: in the longest-duration operation path of the input circuit, the start time of each operation is the end time of the proceeding operation. The methods determine how to schedule operations outside that longest path.\n", "\n", "This is made clear through an example:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "circ = QuantumCircuit(2, 2)\n", "circ.x(0)\n", "circ.x(0)\n", "circ.x(1)\n", "circ.measure([0, 1], [0, 1])\n", "\n", "circ.draw(\"mpl\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For our mocked backend, these $X$ gate operations are each the same duration (`duration = 160 dt`). For the schedule to be minimal, the two $X$ operations on qubit 0 will be scheduled back-to-back, and the measurement pulse will immediately follow the second of those pulses.\n", "\n", "ALAP will choose the latest valid time to schedule lesser-constrained operations, so the $X$ gate on qubit 1 will play in sync with the second $X$ gate on qubit 0." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "schedule = build_schedule(circ, backend, method=\"as_late_as_possible\")\n", "schedule.filter(channels=[pulse.DriveChannel(0), pulse.DriveChannel(1)]).draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On the other hand, as the name suggests, ASAP will schedule operations as soon as its resources are free. Thus, the $X$ gate on qubit 1 will be scheduled at `time=0`, in sync with the first $X$ gate on qubit 0." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "schedule = build_schedule(circ, backend, method=\"as_soon_as_possible\")\n", "schedule.filter(channels=[pulse.DriveChannel(0), pulse.DriveChannel(1)]).draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "ALAP is the default because it allows qubits to remain idle as long as possible. In this case, the difference between ALAP and ASAP may be negligible, but in ALAP, qubit 0 has _no_ time to decay from the excited state before measurement." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.20.2
qiskit-aer0.10.4
qiskit-ignis0.7.1
qiskit-ibmq-provider0.19.1
qiskit0.36.2
System information
Python version3.9.9
Python compilerGCC 11.1.0
Python buildmain, Dec 29 2021 22:19:36
OSLinux
CPUs32
Memory (Gb)125.64827728271484
Wed Sep 21 09:33:41 2022 EDT
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.9" } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/circuits_advanced/08_gathering_system_information.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Obtaining information about your `backend`\n", "\n", "#### _Note: All the attributes of the backend are described in detail in the [Qiskit Backend Specifications](https://arxiv.org/pdf/1809.03452.pdf). This page reviews a subset of the spec._\n", "\n", "Programming a quantum computer at the microwave pulse level requires more information about the device than is required at the circuit level. A quantum circuit is built for an abstract quantum computer -- it will yield the same quantum state on any quantum computer (except for varying performance levels). A pulse schedule, on the other hand, is so specific to the device, that running one program on two different backends is not expected to have the same result, even on perfectly noiseless systems.\n", "\n", "As a basic example, imagine a drive pulse `q0_X180` calibrated on qubit 0 to enact an $X180$ pulse, which flips the state of qubit 0. If we use the samples from that pulse on qubit 1 on the same device, or qubit 0 on another device, we do not know what the resulting state will be -- but we can be pretty sure it won't be an $X180$ operation. The qubits are each unique, with various drive coupling strengths. If we have specified a frequency for the drive pulse, it's very probable that pulse would have little effect on another qubit, which has its own resonant frequency.\n", "\n", "With that, we have motivated why information from the backend may be very useful at times for building Pulse schedules. The information included in a `backend` is broken into three main parts:\n", "\n", " - [**Configuration**](#Configuration): static backend features\n", " - [**Properties**](#Properties): measured and reported backend characteristics\n", " - [**Defaults**](#Defaults): default settings for the OpenPulse-enabled backend\n", " \n", "which are each covered in the following sections. While all three of these contain interesting data for Pulse users, the defaults are _only_ provided for backends enabled with OpenPulse.\n", "\n", "The first thing you'll need to do is grab a backend to inspect. Here we use a mocked backend that contains a snapshot of data from the real OpenPulse-enabled backend." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from qiskit.providers.fake_provider import FakeHanoi\n", "\n", "backend = FakeHanoi()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Configuration\n", "\n", "The configuration is where you'll find data about the static setup of the device, such as its name, version, the number of qubits, and the types of features it supports.\n", "\n", "Let's build a description of our backend using information from the `backend`'s config." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "This backend is called fake_hanoi, and is on version 1.0.18. It has 27 qubits. It supports OpenPulse programs. The basis gates supported on this device are ['id', 'rz', 'sx', 'x', 'cx', 'reset'].\n" ] } ], "source": [ "config = backend.configuration()\n", "\n", "# Basic Features\n", "print(\"This backend is called {0}, and is on version {1}. It has {2} qubit{3}. It \"\n", " \"{4} OpenPulse programs. The basis gates supported on this device are {5}.\"\n", " \"\".format(config.backend_name,\n", " config.backend_version,\n", " config.n_qubits,\n", " '' if config.n_qubits == 1 else 's',\n", " 'supports' if config.open_pulse else 'does not support',\n", " config.basis_gates))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Neat! All of the above configuration is available for any backend, whether enabled with OpenPulse or not, although it is not an exhaustive list. There are additional attributes available on Pulse backends. Let's go into a bit more detail with those.\n", "\n", "The **timescale**, `dt`, is backend dependent. Think of this as the inverse sampling rate of the control rack's arbitrary waveform generators. Each sample point and duration in a Pulse `Schedule` is given in units of this timescale." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.2222222222222221e-10" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "config.dt # units of seconds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The configuration also provides information that is useful for building measurements. Pulse supports three measurement levels: `0: RAW`, `1: KERNELED`, and `2: DISCRIMINATED`. The `meas_levels` attribute tells us which of those are supported by this backend. To learn how to execute programs with these different levels, see this page -- COMING SOON." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[1, 2]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "config.meas_levels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For backends which support measurement level 0, the sampling rate of the control rack's analog-to-digital converters (ADCs) also becomes relevant. The configuration also has this info, where `dtm` is the time per sample returned:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.2222222222222221e-10" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "config.dtm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The measurement map, explained in detail on [this page COMING SOON], is also found here." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[0,\n", " 1,\n", " 2,\n", " 3,\n", " 4,\n", " 5,\n", " 6,\n", " 7,\n", " 8,\n", " 9,\n", " 10,\n", " 11,\n", " 12,\n", " 13,\n", " 14,\n", " 15,\n", " 16,\n", " 17,\n", " 18,\n", " 19,\n", " 20,\n", " 21,\n", " 22,\n", " 23,\n", " 24,\n", " 25,\n", " 26]]" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "config.meas_map" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The configuration also supplies convenient methods for getting channels for your schedule programs. For instance:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DriveChannel(0)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "config.drive(0)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "MeasureChannel(0)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "config.measure(0)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "AcquireChannel(0)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "config.acquire(0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is a matter of style and personal preference whether you use `config.drive(0)` or `DriveChannel(0)`.\n", "\n", "## Properties\n", "\n", "The `backend` properties contain data that was measured and optionally reported by the provider. Let's see what kind of information is reported for qubit 0." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "props = backend.properties()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Qubit 0 has a \n", " - T1 time of 162.29562357444243 microseconds\n", " - T2 time of 171.74648699183206 microseconds\n", " - SX gate error of 0.00013790682762652163\n", " - SX gate duration of 21.333333333333332 nanoseconds\n", " - resonant frequency of 5.035257503599211 GHz\n" ] } ], "source": [ "def describe_qubit(qubit, properties):\n", " \"\"\"Print a string describing some of reported properties of the given qubit.\"\"\"\n", "\n", " # Conversion factors from standard SI units\n", " us = 1e6\n", " ns = 1e9\n", " GHz = 1e-9\n", "\n", " print(\"Qubit {0} has a \\n\"\n", " \" - T1 time of {1} microseconds\\n\"\n", " \" - T2 time of {2} microseconds\\n\"\n", " \" - U2 gate error of {3}\\n\"\n", " \" - U2 gate duration of {4} nanoseconds\\n\"\n", " \" - resonant frequency of {5} GHz\".format(\n", " qubit,\n", " properties.t1(qubit) * us,\n", " properties.t2(qubit) * us,\n", " properties.gate_error('sx', qubit),\n", " properties.gate_length('sx', qubit) * ns,\n", " properties.frequency(qubit) * GHz))\n", "\n", "describe_qubit(0, props)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Properties are not guaranteed to be reported, but backends without Pulse access typically also provide this data.\n", "\n", "## Defaults\n", "\n", "Unlike the other two sections, `PulseDefaults` are only available for Pulse-enabled backends. It contains the default program settings run on the device." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "defaults = backend.defaults()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Drive frequencies\n", "\n", "Defaults contains the default frequency settings for the drive and measurement signal channels:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DriveChannel(0) defaults to a modulation frequency of 5.035257503599211 GHz.\n", "MeasureChannel(0) defaults to a modulation frequency of 7.1653715820000015 GHz.\n" ] } ], "source": [ "q0_freq = defaults.qubit_freq_est[0] # Hz\n", "q0_meas_freq = defaults.meas_freq_est[0] # Hz\n", "\n", "GHz = 1e-9\n", "print(\"DriveChannel(0) defaults to a modulation frequency of {} GHz.\".format(q0_freq * GHz))\n", "print(\"MeasureChannel(0) defaults to a modulation frequency of {} GHz.\".format(q0_meas_freq * GHz))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Pulse Schedule definitions for QuantumCircuit instructions\n", "\n", "Finally, one of the most important aspects of the `backend` for `Schedule` building is the `InstructionScheduleMap`. This is a basic mapping from a circuit operation's name and qubit to the default pulse-level implementation of that instruction. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "calibrations = defaults.instruction_schedule_map\n", "print(calibrations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rather than build a measurement schedule from scratch, let's see what was calibrated by the backend to measure the qubits on this device:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "measure_schedule = calibrations.get('measure', range(config.n_qubits))\n", "measure_schedule.draw(backend=backend)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This can easily be appended to your own Pulse `Schedule` (`sched += calibrations.get('measure', ) << sched.duration`)!\n", "\n", "Likewise, each qubit will have a `Schedule` defined for each basis gate, and they can be appended directly to any `Schedule` you build." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# You can use `has` to see if an operation is defined. Ex: Does qubit 3 have an x gate defined?\n", "calibrations.has('x', 3)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Schedule((0, ShiftPhase(-3.1415, DriveChannel(0))), (0, ShiftPhase(-3.1415, ControlChannel(1))), name=\"u1\")" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Some circuit operations take parameters. U1 takes a rotation angle:\n", "calibrations.get('u1', 0, P0=3.1415)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While building your schedule, you can also use `calibrations.add(name, qubits, schedule)` to store useful `Schedule`s that you've made yourself.\n", "\n", "On this [page](07_pulse_scheduler.ipynb), we'll show how to schedule `QuantumCircuit`s into Pulse `Schedule`s." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.20.2
qiskit-aer0.10.4
qiskit-ignis0.7.1
qiskit-ibmq-provider0.19.1
qiskit0.36.2
System information
Python version3.9.9
Python compilerGCC 11.1.0
Python buildmain, Dec 29 2021 22:19:36
OSLinux
CPUs32
Memory (Gb)125.64827728271484
Wed Sep 21 09:34:41 2022 EDT
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2022.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.9" }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 2 } ================================================ FILE: tutorials/operators/01_operator_flow.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Operator Flow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction\n", "\n", "Qiskit provides classes representing states and operators and sums, tensor products, and compositions thereof. These algebraic constructs allow us to build expressions representing operators.\n", "\n", "We introduce expressions by building them from Pauli operators. In subsequent sections we explore in more detail operators and states, how they are represented, and what we can do with them. In the last section we construct a state, evolve it with a Hamiltonian, and compute expectation values of an observable.\n", "\n", "### Pauli operators, sums, compositions, and tensor products\n", "\n", "The most important base operators are the Pauli operators.\n", "The Pauli operators are represented like this.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "I X Y Z\n" ] } ], "source": [ "from qiskit.opflow import I, X, Y, Z\n", "print(I, X, Y, Z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These operators may also carry a coefficient." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.5 * I\n", "2.5 * X\n" ] } ], "source": [ "print(1.5 * I)\n", "print(2.5 * X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These coefficients allow the operators to be used as terms in a sum." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0 * X\n", "+ 2.0 * Y\n" ] } ], "source": [ "print(X + 2.0 * Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tensor products are denoted with a caret, like this." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "XYZ\n" ] } ], "source": [ "print(X^Y^Z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Composition is denoted by the `@` symbol." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "iI\n" ] } ], "source": [ "print(X @ Y @ Z)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the preceding two examples, the tensor product and composition of Pauli operators were immediately reduced to the equivalent (possibly multi-qubit) Pauli operator. If we tensor or compose more complicated objects, the result is objects representing the unevaluated operations. That is, algebraic expressions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, composing two sums gives" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1j * Z\n", "+ -1j * Y\n", "+ 1.0 * I\n", "+ 1j * X\n" ] } ], "source": [ "print((X + Y) @ (Y + Z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And tensoring two sums gives" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0 * XY\n", "+ 1.0 * XZ\n", "+ 1.0 * YY\n", "+ 1.0 * YZ\n" ] } ], "source": [ "print((X + Y) ^ (Y + Z))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a closer look at the types introduced above. First the Pauli operators." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(PauliOp(Pauli('I'), coeff=1.0), PauliOp(Pauli('X'), coeff=1.0))" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(I, X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each Pauli operator is an instance of `PauliOp`, which wraps an instance of `qiskit.quantum_info.Pauli`, and adds a coefficient `coeff`. In general, a `PauliOp` represents a weighted tensor product of Pauli operators." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "PauliOp(Pauli('XYZ'), coeff=2.0)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2.0 * X^Y^Z" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the encoding of the Pauli operators as pairs of Boolean values, see the documentation for `qiskit.quantum_info.Pauli`.\n", "\n", "All of the objects representing operators, whether as \"primitive\"s such as `PauliOp`, or algebraic expressions carry a coefficient" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.2 * (\n", " 1.1 * XY\n", " + 1.4300000000000002 * XZ\n", ")\n" ] } ], "source": [ "print(1.1 * ((1.2 * X)^(Y + (1.3 * Z))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the following we take a broader and deeper look at Qiskit's operators, states, and the building blocks of quantum algorithms." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "## Part I: State Functions and Measurements\n", "\n", "Quantum states are represented by subclasses of the class `StateFn`. There are four representations of quantum states: `DictStateFn` is a sparse representation in the computational basis, backed by a `dict`. `VectorStateFn` is a dense representation in the computational basis backed by a numpy array. `CircuitStateFn` is backed by a circuit and represents the state obtained by executing the circuit on the all-zero computational-basis state. `OperatorStateFn` represents mixed states via a density matrix. (As we will see later, `OperatorStateFn` is also used to represent observables.)\n", "\n", "Several `StateFn` instances are provided for convenience. For example `Zero, One, Plus, Minus`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from qiskit.opflow import (StateFn, Zero, One, Plus, Minus, H,\n", " DictStateFn, VectorStateFn, CircuitStateFn, OperatorStateFn)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Zero` and `One` represent the quantum states $|0\\rangle$ and $|1\\rangle$. They are represented via `DictStateFn`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DictStateFn({'0': 1}) DictStateFn({'1': 1})\n" ] } ], "source": [ "print(Zero, One)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Plus` and `Minus`, representing states $(|0\\rangle + |1\\rangle)/\\sqrt{2}$ and $(|0\\rangle - |1\\rangle)/\\sqrt{2}$ are represented via circuits. `H` is a synonym for `Plus`." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CircuitStateFn(\n", " ┌───┐\n", "q: ┤ H ├\n", " └───┘\n", ") CircuitStateFn(\n", " ┌───┐┌───┐\n", "q: ┤ X ├┤ H ├\n", " └───┘└───┘\n", ")\n" ] } ], "source": [ "print(Plus, Minus)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Indexing into quantum states is done with the `eval` method. These examples return the coefficients of the `0` and `1` basis states. (Below, we will see that the `eval` method is used for other computations, as well.)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0\n", "0.0\n", "1.0\n", "(0.7071067811865475+0j)\n", "(-0.7071067811865475+8.7e-17j)\n" ] } ], "source": [ "print(Zero.eval('0'))\n", "print(Zero.eval('1'))\n", "print(One.eval('1'))\n", "print(Plus.eval('0'))\n", "print(Minus.eval('1'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The dual vector of a quantum state, that is the *bra* corresponding to a *ket* is obtained via the `adjoint` method. The `StateFn` carries a flag `is_measurement`, which is `False` if the object is a ket and `True` if it is a bra." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we construct $\\langle 1 |$." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DictStateFn({'1': 1}, coeff=1.0, is_measurement=True)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "One.adjoint()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For convenience, one may obtain the dual vector with a tilde, like this" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DictStateFn({'1': 1}, coeff=1.0, is_measurement=True)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "~One" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Algebraic operations and predicates\n", "\n", "Many algebraic operations and predicates between `StateFn`s are supported, including:\n", "\n", "* `+` - addition\n", "* `-` - subtraction, negation (scalar multiplication by -1)\n", "* `*` - scalar multiplication\n", "* `/` - scalar division\n", "* `@` - composition\n", "* `^` - tensor product or tensor power (tensor with self n times)\n", "* `**` - composition power (compose with self n times)\n", "* `==` - equality\n", "* `~` - adjoint, alternating between a State Function and Measurement\n", "\n", "Be very aware that these operators obey the [Python rules for operator precedence](https://docs.python.org/3/reference/expressions.html#operator-precedence), which might not be what you expect mathematically. For example, `I^X + X^I` will actually be parsed as `I ^ (X + X) ^ I == 2 * (I^X^I)` because Python evaluates `+` before `^`. In these cases, you can use the methods (`.tensor()`, etc) or parentheses." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`StateFn`s carry a coefficient. This allows us to multiply states by a scalar, and so to construct sums." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we construct $(2 + 3i)|0\\rangle$." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DictStateFn({'0': 1}, coeff=(2+3j), is_measurement=False)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(2.0 + 3.0j) * Zero" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we see that adding two `DictStateFn`s returns an object of the same type. We construct $|0\\rangle + |1\\rangle$." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DictStateFn({'0': 1.0, '1': 1.0})\n" ] } ], "source": [ "print(Zero + One)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that you must normalize states by hand. For example, to construct $(|0\\rangle + |1\\rangle)/\\sqrt{2}$, we write" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DictStateFn({'0': 1.0, '1': 1.0}) * 0.7071067811865475\n" ] } ], "source": [ "import math\n", "\n", "v_zero_one = (Zero + One) / math.sqrt(2)\n", "print(v_zero_one)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In other cases, the result is a symbolic representation of a sum. For example, here is a representation of $|+\\rangle + |-\\rangle$." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SummedOp([\n", " CircuitStateFn(\n", " ┌───┐\n", " q: ┤ H ├\n", " └───┘\n", " ),\n", " CircuitStateFn(\n", " ┌───┐┌───┐\n", " q: ┤ X ├┤ H ├\n", " └───┘└───┘\n", " )\n", "])\n" ] } ], "source": [ "print(Plus + Minus)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The composition operator is used to perform an inner product, which by default is held in an unevaluated form. Here is a representation of $\\langle 1 | 1 \\rangle$." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ComposedOp([\n", " DictMeasurement({'1': 1}),\n", " DictStateFn({'1': 1})\n", "])\n" ] } ], "source": [ "print(~One @ One)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the `is_measurement` flag causes the (bra) state `~One` to be printed `DictMeasurement`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Symbolic expressions may be evaluated with the `eval` method." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(~One @ One).eval()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9999999999999998" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(~v_zero_one @ v_zero_one).eval()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is $\\langle - | 1 \\rangle = \\langle (\\langle 0| - \\langle 1|)/\\sqrt{2} | 1\\rangle$." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.7071067811865475-8.7e-17j)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(~Minus @ One).eval()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The composition operator `@` is equivalent to calling the `compose` method." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ComposedOp([\n", " DictMeasurement({'1': 1}),\n", " DictStateFn({'1': 1})\n", "])\n" ] } ], "source": [ "print((~One).compose(One))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Inner products may also be computed using the `eval` method directly, without constructing a `ComposedOp`." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.0" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(~One).eval(One)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Symbolic tensor products are constructed as follows. Here is $|0\\rangle \\otimes |+\\rangle$." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "TensoredOp([\n", " DictStateFn({'0': 1}),\n", " CircuitStateFn(\n", " ┌───┐\n", " q: ┤ H ├\n", " └───┘\n", " )\n", "])\n" ] } ], "source": [ "print(Zero^Plus)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This may be represented as a simple (not compound) `CircuitStateFn`." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CircuitStateFn(\n", " ┌───┐\n", "q_0: ┤ H ├\n", " └───┘\n", "q_1: ─────\n", " \n", ")\n" ] } ], "source": [ "print((Zero^Plus).to_circuit_op())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Tensor powers are constructed using the caret `^` as follows. Here are $600 (|11111\\rangle + |00000\\rangle)$, and $|10\\rangle^{\\otimes 3}$." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DictStateFn({'11111': 1.0, '00000': 1.0}) * 600.0\n", "DictStateFn({'101010': 1})\n" ] } ], "source": [ "print(600 * ((One^5) + (Zero^5)))\n", "print((One^Zero)^3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method `to_matrix_op` converts to `VectorStateFn`." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "VectorStateFn(Statevector([ 0.25-6.1e-17j, -0.25+6.1e-17j, 0.25-6.1e-17j,\n", " -0.25+6.1e-17j, -0.25+6.1e-17j, 0.25-6.1e-17j,\n", " -0.25+6.1e-17j, 0.25-6.1e-17j, 0.25-6.1e-17j,\n", " -0.25+6.1e-17j, 0.25-6.1e-17j, -0.25+6.1e-17j,\n", " -0.25+6.1e-17j, 0.25-6.1e-17j, -0.25+6.1e-17j,\n", " 0.25-6.1e-17j],\n", " dims=(2, 2, 2, 2)))\n", "CircuitStateFn(\n", " ┌───┐\n", "q_0: ┤ X ├\n", " ├───┤\n", "q_1: ┤ H ├\n", " ├───┤\n", "q_2: ┤ X ├\n", " ├───┤\n", "q_3: ┤ H ├\n", " └───┘\n", ")\n", "{'1101': 0.2734375, '0111': 0.2509765625, '1111': 0.24609375, '0101': 0.2294921875}\n" ] } ], "source": [ "print(((Plus^Minus)^2).to_matrix_op())\n", "print(((Plus^One)^2).to_circuit_op())\n", "print(((Plus^One)^2).to_matrix_op().sample())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Constructing a StateFn is easy. The `StateFn` class also serves as a factory, and can take any applicable primitive in its constructor and return the correct StateFn subclass. Currently the following primitives can be passed into the constructor, listed alongside the `StateFn` subclass they produce:\n", "\n", "* str (equal to some basis bitstring) -> DictStateFn\n", "* dict -> DictStateFn\n", "* Qiskit Result object -> DictStateFn\n", "* list -> VectorStateFn\n", "* np.ndarray -> VectorStateFn\n", "* Statevector -> VectorStateFn\n", "* QuantumCircuit -> CircuitStateFn\n", "* Instruction -> CircuitStateFn\n", "* OperatorBase -> OperatorStateFn" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DictStateFn({'0': 1})\n", "True\n", "VectorStateFn(Statevector([0.+0.j, 1.+0.j, 1.+0.j, 0.+0.j],\n", " dims=(2, 2)))\n", "CircuitStateFn(\n", " ┌──────────────────────────────────────────────────────────┐\n", "q_0: ┤0 ├\n", " │ RealAmplitudes(θ[0],θ[1],θ[2],θ[3],θ[4],θ[5],θ[6],θ[7]) │\n", "q_1: ┤1 ├\n", " └──────────────────────────────────────────────────────────┘\n", ")\n" ] } ], "source": [ "print(StateFn({'0':1}))\n", "print(StateFn({'0':1}) == Zero)\n", "\n", "print(StateFn([0,1,1,0]))\n", "\n", "from qiskit.circuit.library import RealAmplitudes\n", "print(StateFn(RealAmplitudes(2)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part II: `PrimitiveOp`s\n", "\n", "The basic Operators are subclasses of `PrimitiveOp`. Just like `StateFn`, `PrimitiveOp` is also a factory for creating the correct type of `PrimitiveOp` for a given primitive. Currently, the following primitives can be passed into the constructor, listed alongside the `PrimitiveOp` subclass they produce:\n", "\n", "* Terra's Pauli -> PauliOp\n", "* Instruction -> CircuitOp\n", "* QuantumCircuit -> CircuitOp\n", "* 2d List -> MatrixOp\n", "* np.ndarray -> MatrixOp\n", "* spmatrix -> MatrixOp\n", "* Terra's quantum_info.Operator -> MatrixOp" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "from qiskit.opflow import X, Y, Z, I, CX, T, H, S, PrimitiveOp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Matrix elements" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `eval` method returns a column from an operator. For example, the Pauli $X$ operator is represented by a `PauliOp`. Asking for a column returns an instance of the sparse representation, a `DictStateFn`." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "PauliOp(Pauli('X'), coeff=1.0)" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DictStateFn({'1': (1+0j)})\n" ] } ], "source": [ "print(X.eval('0'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It follows that indexing into an operator, that is obtaining a matrix element, is performed with two calls to the `eval` method." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have $X = \\left(\\begin{matrix} 0 & 1 \\\\\n", " 1 & 0\n", " \\end{matrix} \\right)$. And the matrix element $\\left\\{X \\right\\}_{0,1}$ is" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1+0j)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.eval('0').eval('1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is an example using the two qubit operator `CX`, the controlled `X`, which is represented by a circuit." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "q_0: ──■──\n", " ┌─┴─┐\n", "q_1: ┤ X ├\n", " └───┘\n", "[[1. 0. 0. 0.]\n", " [0. 0. 0. 1.]\n", " [0. 0. 1. 0.]\n", " [0. 1. 0. 0.]]\n" ] } ], "source": [ "print(CX)\n", "print(CX.to_matrix().real) # The imaginary part vanishes." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "VectorStateFn(Statevector([0.+0.j, 0.+0.j, 0.+0.j, 1.+0.j],\n", " dims=(2, 2)), coeff=1.0, is_measurement=False)" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "CX.eval('01') # 01 is the one in decimal. We get the first column." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1+0j)" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "CX.eval('01').eval('11') # This returns element with (zero-based) index (1, 3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Applying an operator to a state vector" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Applying an operator to a state vector may be done with the `compose` method (equivalently, `@` operator). Here is a representation of $X | 1 \\rangle = |0\\rangle$." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ComposedOp([\n", " X,\n", " DictStateFn({'1': 1})\n", "])\n" ] } ], "source": [ "print(X @ One)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simpler representation, the `DictStateFn` representation of $|0\\rangle$, is obtained with `eval`." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DictStateFn({'0': (1+0j)}, coeff=(1+0j), is_measurement=False)" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "(X @ One).eval()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The intermediate `ComposedOp` step may be avoided by using `eval` directly." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DictStateFn({'0': (1+0j)}, coeff=(1+0j), is_measurement=False)" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.eval(One)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Composition and tensor products of operators are effected with `@` and `^`. Here are some examples." ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1+0j)\n", " ┌───┐ ┌───┐ \n", "q_0: ──■──┤ H ├───────■──┤ H ├─────\n", " ┌─┴─┐└───┘┌───┐┌─┴─┐└───┘┌───┐\n", "q_1: ┤ X ├──■──┤ H ├┤ X ├──■──┤ H ├\n", " └───┘┌─┴─┐├───┤└───┘┌─┴─┐├───┤\n", "q_2: ──■──┤ X ├┤ H ├──■──┤ X ├┤ H ├\n", " ┌─┴─┐└───┘├───┤┌─┴─┐└───┘├───┤\n", "q_3: ┤ X ├──■──┤ H ├┤ X ├──■──┤ H ├\n", " └───┘┌─┴─┐├───┤└───┘┌─┴─┐├───┤\n", "q_4: ─────┤ X ├┤ H ├─────┤ X ├┤ H ├\n", " └───┘└───┘ └───┘└───┘\n", "CircuitStateFn(\n", " ┌───┐┌───┐ ┌───┐ ┌───┐ \n", "q_0: ┤ X ├┤ H ├──■──┤ H ├───────■──┤ H ├─────\n", " ├───┤├───┤┌─┴─┐└───┘┌───┐┌─┴─┐└───┘┌───┐\n", "q_1: ┤ X ├┤ H ├┤ X ├──■──┤ H ├┤ X ├──■──┤ H ├\n", " ├───┤├───┤└───┘┌─┴─┐├───┤└───┘┌─┴─┐├───┤\n", "q_2: ┤ X ├┤ H ├──■──┤ X ├┤ H ├──■──┤ X ├┤ H ├\n", " ├───┤├───┤┌─┴─┐└───┘├───┤┌─┴─┐└───┘├───┤\n", "q_3: ┤ X ├┤ H ├┤ X ├──■──┤ H ├┤ X ├──■──┤ H ├\n", " ├───┤├───┤└───┘┌─┴─┐├───┤└───┘┌─┴─┐├───┤\n", "q_4: ┤ X ├┤ H ├─────┤ X ├┤ H ├─────┤ X ├┤ H ├\n", " └───┘└───┘ └───┘└───┘ └───┘└───┘\n", ")\n", "CircuitStateFn(\n", " ┌─────────────┐ \n", "q_0: ┤0 ├─────\n", " │ │ \n", "q_1: ┤1 Pauli(XII) ├─────\n", " │ │┌───┐\n", "q_2: ┤2 ├┤ H ├\n", " └─────────────┘└───┘\n", ")\n" ] } ], "source": [ "print(((~One^2) @ (CX.eval('01'))).eval())\n", "\n", "print(((H^5) @ ((CX^2)^I) @ (I^(CX^2)))**2)\n", "print((((H^5) @ ((CX^2)^I) @ (I^(CX^2)))**2) @ (Minus^5))\n", "print(((H^I^I)@(X^I^I)@Zero))" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ComposedOp([\n", " DictMeasurement({'1': 1}),\n", " CircuitStateFn(\n", " ┌───┐┌───┐\n", " q: ┤ X ├┤ H ├\n", " └───┘└───┘\n", " )\n", "])\n" ] } ], "source": [ "print(~One @ Minus)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part III: `ListOp` and subclasses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `ListOp`\n", "\n", "`ListOp` is a container for effectively vectorizing operations over a list of operators and states." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ComposedOp([\n", " ListOp([\n", " DictMeasurement({'1': 1}),\n", " DictMeasurement({'0': 1})\n", " ]),\n", " ListOp([\n", " DictStateFn({'1': 1}),\n", " DictStateFn({'0': 1})\n", " ])\n", "])\n" ] } ], "source": [ "from qiskit.opflow import ListOp\n", "\n", "print((~ListOp([One, Zero]) @ ListOp([One, Zero])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For example, the composition above is distributed over the lists (`ListOp`) using the simplification method `reduce`." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ListOp([\n", " ListOp([\n", " ComposedOp([\n", " DictMeasurement({'1': 1}),\n", " DictStateFn({'1': 1})\n", " ]),\n", " ComposedOp([\n", " DictMeasurement({'1': 1}),\n", " DictStateFn({'0': 1})\n", " ])\n", " ]),\n", " ListOp([\n", " ComposedOp([\n", " DictMeasurement({'0': 1}),\n", " DictStateFn({'1': 1})\n", " ]),\n", " ComposedOp([\n", " DictMeasurement({'0': 1}),\n", " DictStateFn({'0': 1})\n", " ])\n", " ])\n", "])\n" ] } ], "source": [ "print((~ListOp([One, Zero]) @ ListOp([One, Zero])).reduce())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `ListOp`s: `SummedOp`, `ComposedOp`, `TensoredOp`\n", "\n", "`ListOp`, introduced above, is useful for vectorizing operations. But, it also serves as the superclass for list-like composite classes.\n", "If you've already played around with the above, you'll notice that you can easily perform operations between `OperatorBase`s which we may not know how to perform efficiently in general (or simply haven't implemented an efficient procedure for yet), such as addition between `CircuitOp`s. In those cases, you may receive a `ListOp` result (or subclass thereof) from your operation representing the lazy execution of the operation. For example, if you attempt to add together a `DictStateFn` and a `CircuitStateFn`, you'll receive a `SummedOp` representing the sum of the two. This composite State function still has a working `eval` (but may need to perform a non-scalable computation under the hood, such as converting both to vectors).\n", "\n", "These composite `OperatorBase`s are how we construct increasingly complex and rich computation out of `PrimitiveOp` and `StateFn` building blocks.\n", "\n", "Every `ListOp` has four properties:\n", "\n", "* `oplist` - The list of `OperatorBase`s which may represent terms, factors, etc.\n", "* `combo_fn` - The function taking a list of complex numbers to an output value which defines how to combine the outputs of the `oplist` items. For broadcasting simplicity, this function is defined over NumPy arrays.\n", "* `coeff` - A coefficient multiplying the primitive. Note that `coeff` can be int, float, complex or a free `Parameter` object (from `qiskit.circuit` in Terra) to be bound later using `my_op.bind_parameters`.\n", "* `abelian` - Indicates whether the Operators in `oplist` are known to mutually commute (usually set after being converted by the `AbelianGrouper` converter).\n", "\n", "Note that `ListOp` supports typical sequence overloads, so you can use indexing like `my_op[4]` to access the `OperatorBase`s in `oplist`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### `OperatorStateFn`\n", "\n", "We mentioned above that `OperatorStateFn` represents a density operator. But, if the `is_measurement` flag is `True`, then `OperatorStateFn` represents an observable. The expectation value of this observable can then be constructed via `ComposedOp`. Or, directly, using `eval`. Recall that the `is_measurement` flag (property) is set via the `adjoint` method." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we construct the observable corresponding to the Pauli $Z$ operator. Note that when printing, it is called `OperatorMeasurement`." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OperatorMeasurement(Z)\n" ] }, { "data": { "text/plain": [ "OperatorStateFn(PauliOp(Pauli('Z'), coeff=1.0), coeff=1.0, is_measurement=True)" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "print(StateFn(Z).adjoint())\n", "StateFn(Z).adjoint()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we compute $\\langle 0 | Z | 0 \\rangle$, $\\langle 1 | Z | 1 \\rangle$, and $\\langle + | Z | + \\rangle$, where $|+\\rangle = (|0\\rangle + |1\\rangle)/\\sqrt{2}$." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1+0j)\n", "(-1+0j)\n", "0j\n" ] } ], "source": [ "print(StateFn(Z).adjoint().eval(Zero))\n", "print(StateFn(Z).adjoint().eval(One))\n", "print(StateFn(Z).adjoint().eval(Plus))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Part IV: Converters\n", "\n", "Converters are classes that manipulate operators and states and perform building blocks of algorithms. Examples include changing the basis of operators and Trotterization.\n", "Converters traverse an expression and perform a particular manipulation or replacement, defined by the converter's `convert()` method, of the Operators within. Typically, if a converter encounters an `OperatorBase` in the recursion which is irrelevant to its conversion purpose, that `OperatorBase` is left unchanged." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from qiskit.opflow import I, X, Y, Z, H, CX, Zero, ListOp, PauliExpectation, PauliTrotterEvolution, CircuitSampler, MatrixEvolution, Suzuki\n", "from qiskit.circuit import Parameter\n", "from qiskit import Aer" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evolutions, `exp_i()`, and the `EvolvedOp`\n", "\n", "Every `PrimitiveOp` and `ListOp` has an `.exp_i()` function such that `H.exp_i()` corresponds to $e^{-iH}$. In practice, only a few of these Operators have an efficiently computable exponentiation (such as MatrixOp and the PauliOps with only one non-identity single-qubit Pauli), so we need to return a placeholder, or symbolic representation, (similar to how `SummedOp` is a placeholder when we can't perform addition). This placeholder is called `EvolvedOp`, and it holds the `OperatorBase` to be exponentiated in its `.primitive` property.\n", "\n", "Qiskit operators fully support parameterization, so we can use a `Parameter` for our evolution time here. Notice that there's no \"evolution time\" argument in any function. The Operator flow exponentiates whatever operator we tell it to, and if we choose to multiply the operator by an evolution time, $e^{-iHt}$, that will be reflected in our exponentiation parameters." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Weighted sum of Pauli operators\n", "A Hamiltonian expressed as a linear combination of multi-qubit Pauli operators may be constructed like this." ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "two_qubit_H2 = (-1.0523732 * I^I) + \\\n", " (0.39793742 * I^Z) + \\\n", " (-0.3979374 * Z^I) + \\\n", " (-0.0112801 * Z^Z) + \\\n", " (0.18093119 * X^X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that `two_qubit_H2` is represented as a `SummedOp` whose terms are `PauliOp`s." ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-1.0523732 * II\n", "+ 0.39793742 * IZ\n", "- 0.3979374 * ZI\n", "- 0.0112801 * ZZ\n", "+ 0.18093119 * XX\n" ] } ], "source": [ "print(two_qubit_H2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we multiply the Hamiltonian by a `Parameter`. This `Parameter` is stored in the `coeff` property of the `SummedOp`. Calling `exp_i()` on the result wraps it in `EvolvedOp`, representing exponentiation." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "e^(-i*1.0*θ * (\n", " -1.0523732 * II\n", " + 0.39793742 * IZ\n", " - 0.3979374 * ZI\n", " - 0.0112801 * ZZ\n", " + 0.18093119 * XX\n", "))\n", "EvolvedOp(PauliSumOp(SparsePauliOp(['II', 'IZ', 'ZI', 'ZZ', 'XX'],\n", " coeffs=[-1.0523732 +0.j, 0.39793742+0.j, -0.3979374 +0.j, -0.0112801 +0.j,\n", " 0.18093119+0.j]), coeff=1.0*θ), coeff=1.0)\n" ] } ], "source": [ "evo_time = Parameter('θ')\n", "evolution_op = (evo_time*two_qubit_H2).exp_i()\n", "print(evolution_op) # Note, EvolvedOps print as exponentiations\n", "print(repr(evolution_op))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We construct `h2_measurement`, which represents `two_qubit_H2` as an observable." ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OperatorMeasurement(-1.0523732 * II\n", "+ 0.39793742 * IZ\n", "- 0.3979374 * ZI\n", "- 0.0112801 * ZZ\n", "+ 0.18093119 * XX)\n" ] } ], "source": [ "h2_measurement = StateFn(two_qubit_H2).adjoint()\n", "print(h2_measurement)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We construct a Bell state $|\\Phi_+\\rangle$ via $\\text{CX} (H\\otimes I) |00\\rangle$." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CircuitStateFn(\n", " ┌───┐ \n", "q_0: ┤ H ├──■──\n", " └───┘┌─┴─┐\n", "q_1: ─────┤ X ├\n", " └───┘\n", ")\n" ] } ], "source": [ "bell = CX @ (I ^ H) @ Zero\n", "print(bell)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the expression $H e^{-iHt} |\\Phi_+\\rangle$." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ComposedOp([\n", " OperatorMeasurement(-1.0523732 * II\n", " + 0.39793742 * IZ\n", " - 0.3979374 * ZI\n", " - 0.0112801 * ZZ\n", " + 0.18093119 * XX),\n", " e^(-i*1.0*θ * (\n", " -1.0523732 * II\n", " + 0.39793742 * IZ\n", " - 0.3979374 * ZI\n", " - 0.0112801 * ZZ\n", " + 0.18093119 * XX\n", " )),\n", " CircuitStateFn(\n", " ┌───┐ \n", " q_0: ┤ H ├──■──\n", " └───┘┌─┴─┐\n", " q_1: ─────┤ X ├\n", " └───┘\n", " )\n", "])\n" ] } ], "source": [ "evo_and_meas = h2_measurement @ evolution_op @ bell\n", "print(evo_and_meas)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Typically, we want to approximate $e^{-iHt}$ using two-qubit gates. We achieve this with the `convert` method of `PauliTrotterEvolution`, which traverses expressions applying trotterization to all `EvolvedOp`s encountered. Although we use `PauliTrotterEvolution` here, there are other possibilities, such as `MatrixEvolution`, which performs the exponentiation exactly." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ComposedOp([\n", " OperatorMeasurement(-1.0523732 * II\n", " + 0.39793742 * IZ\n", " - 0.3979374 * ZI\n", " - 0.0112801 * ZZ\n", " + 0.18093119 * XX),\n", " CircuitStateFn(\n", " global phase: 1.0523732*θ\n", " ┌───┐ ┌───┐┌───┐┌──────────────────┐┌───┐┌───┐┌───┐»\n", " q_0: ┤ H ├──■──┤ H ├┤ X ├┤ Rz(0.18093119*θ) ├┤ X ├┤ H ├┤ X ├»\n", " └───┘┌─┴─┐├───┤└─┬─┘└──────────────────┘└─┬─┘├───┤└─┬─┘»\n", " q_1: ─────┤ X ├┤ H ├──■────────────────────────■──┤ H ├──■──»\n", " └───┘└───┘ └───┘ »\n", " « ┌──────────────────┐┌───┐┌──────────────────┐┌──────────────────┐┌───┐»\n", " «q_0: ┤ Rz(-0.0112801*θ) ├┤ X ├┤ Rz(0.39793742*θ) ├┤ Rz(0.39793742*θ) ├┤ X ├»\n", " « └──────────────────┘└─┬─┘├──────────────────┤├──────────────────┤└─┬─┘»\n", " «q_1: ──────────────────────■──┤ Rz(-0.3979374*θ) ├┤ Rz(-0.3979374*θ) ├──■──»\n", " « └──────────────────┘└──────────────────┘ »\n", " « ┌──────────────────┐┌───┐┌───┐┌───┐┌──────────────────┐┌───┐┌───┐\n", " «q_0: ┤ Rz(-0.0112801*θ) ├┤ X ├┤ H ├┤ X ├┤ Rz(0.18093119*θ) ├┤ X ├┤ H ├\n", " « └──────────────────┘└─┬─┘├───┤└─┬─┘└──────────────────┘└─┬─┘├───┤\n", " «q_1: ──────────────────────■──┤ H ├──■────────────────────────■──┤ H ├\n", " « └───┘ └───┘\n", " )\n", "])\n" ] } ], "source": [ "trotterized_op = PauliTrotterEvolution(trotter_mode=Suzuki(order=2, reps=1)).convert(evo_and_meas)\n", "# We can also set trotter_mode='suzuki' or leave it empty to default to first order Trotterization.\n", "print(trotterized_op)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`trotterized_op` contains a `Parameter`. The `bind_parameters` method traverses the expression binding values to parameter names as specified via a `dict`. In this case, there is only one parameter." ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "bound = trotterized_op.bind_parameters({evo_time: .5})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`bound` is a `ComposedOp`. The second factor is the circuit. Let's draw it to verify that the binding has taken place." ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
global phase: 0.52619\n",
       "     ┌───┐     ┌───┐┌───┐┌─────────────────┐┌───┐┌───┐┌───┐┌─────────────────┐»\n",
       "q_0: ┤ H ├──■──┤ H ├┤ X ├┤ Rz(0.090465595) ├┤ X ├┤ H ├┤ X ├┤ Rz(-0.00564005) ├»\n",
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       "«q_1: ┤ H ├──■───────────────────────■──┤ H ├\n",
       "«     └───┘                             └───┘
" ], "text/plain": [ "global phase: 0.52619\n", " ┌───┐ ┌───┐┌───┐┌─────────────────┐┌───┐┌───┐┌───┐┌─────────────────┐»\n", "q_0: ┤ H ├──■──┤ H ├┤ X ├┤ Rz(0.090465595) ├┤ X ├┤ H ├┤ X ├┤ Rz(-0.00564005) ├»\n", " └───┘┌─┴─┐├───┤└─┬─┘└─────────────────┘└─┬─┘├───┤└─┬─┘└─────────────────┘»\n", "q_1: ─────┤ X ├┤ H ├──■───────────────────────■──┤ H ├──■─────────────────────»\n", " └───┘└───┘ └───┘ »\n", "« ┌───┐┌────────────────┐┌────────────────┐┌───┐┌─────────────────┐┌───┐»\n", "«q_0: ┤ X ├┤ Rz(0.19896871) ├┤ Rz(0.19896871) ├┤ X ├┤ Rz(-0.00564005) ├┤ X ├»\n", "« └─┬─┘├────────────────┤├────────────────┤└─┬─┘└─────────────────┘└─┬─┘»\n", "«q_1: ──■──┤ Rz(-0.1989687) ├┤ Rz(-0.1989687) ├──■───────────────────────■──»\n", "« └────────────────┘└────────────────┘ »\n", "« ┌───┐┌───┐┌─────────────────┐┌───┐┌───┐\n", "«q_0: ┤ H ├┤ X ├┤ Rz(0.090465595) ├┤ X ├┤ H ├\n", "« ├───┤└─┬─┘└─────────────────┘└─┬─┘├───┤\n", "«q_1: ┤ H ├──■───────────────────────■──┤ H ├\n", "« └───┘ └───┘" ] }, "execution_count": 57, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bound[1].to_circuit().draw()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Expectations\n", "\n", "`Expectation`s are converters that enable the computation of expectation values of observables. They traverse an Operator tree, replacing `OperatorStateFn`s (observables) with equivalent instructions which are more amenable to\n", "computation on quantum or classical hardware. For example, if we want to measure the expectation value of an Operator `o` expressed as a sum of Paulis with respect to some state function, but can only access diagonal measurements on quantum hardware, we can create an observable `~StateFn(o)` and use a ``PauliExpectation`` to convert it to a diagonal measurement and circuit pre-rotations to append to the state.\n", "\n", "Another interesting `Expectation` is the `AerPauliExpectation`, which converts the observable into a `CircuitStateFn` containing a special expectation snapshot instruction which `Aer` can execute natively with high performance." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SummedOp([\n", " ComposedOp([\n", " OperatorMeasurement(-1.0523732 * II),\n", " II\n", " ]),\n", " ComposedOp([\n", " OperatorMeasurement(0.39793742 * IZ),\n", " II\n", " ]),\n", " ComposedOp([\n", " OperatorMeasurement(-0.3979374 * ZI),\n", " II\n", " ]),\n", " ComposedOp([\n", " OperatorMeasurement(-0.0112801 * ZZ),\n", " II\n", " ]),\n", " ComposedOp([\n", " OperatorMeasurement(0.18093119 * ZZ),\n", " ┌───┐\n", " q_0: ┤ H ├\n", " ├───┤\n", " q_1: ┤ H ├\n", " └───┘\n", " ])\n", "])\n" ] } ], "source": [ "# Note that XX was the only non-diagonal measurement in our H2 Observable\n", "print(PauliExpectation(group_paulis=False).convert(h2_measurement))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By default `group_paulis=True`, which will use the `AbelianGrouper` to convert the `SummedOp` into groups of mutually qubit-wise commuting Paulis. This reduces circuit execution overhead, as each group can share the same circuit execution." ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SummedOp([\n", " ComposedOp([\n", " OperatorMeasurement(0.18093119 * ZZ\n", " - 1.0523732 * II),\n", " ┌───┐\n", " q_0: ┤ H ├\n", " ├───┤\n", " q_1: ┤ H ├\n", " └───┘\n", " ]),\n", " ComposedOp([\n", " OperatorMeasurement(0.39793742 * IZ\n", " - 0.3979374 * ZI\n", " - 0.0112801 * ZZ),\n", " II\n", " ])\n", "])\n" ] } ], "source": [ "print(PauliExpectation().convert(h2_measurement))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that converters act recursively, that is, they traverse an expression applying their action only where possible. So we can just convert our full evolution and measurement expression. We could have equivalently composed the converted `h2_measurement` with our evolution `CircuitStateFn`. We proceed by applying the conversion on the entire expression." ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SummedOp([\n", " ComposedOp([\n", " OperatorMeasurement(0.18093119 * ZZ\n", " - 1.0523732 * II),\n", " CircuitStateFn(\n", " global phase: 1.0523732*θ\n", " ┌───┐ ┌───┐┌───┐┌──────────────────┐┌───┐┌───┐┌───┐»\n", " q_0: ┤ H ├──■──┤ H ├┤ X ├┤ Rz(0.18093119*θ) ├┤ X ├┤ H ├┤ X ├»\n", " └───┘┌─┴─┐├───┤└─┬─┘└──────────────────┘└─┬─┘├───┤└─┬─┘»\n", " q_1: ─────┤ X ├┤ H ├──■────────────────────────■──┤ H ├──■──»\n", " └───┘└───┘ └───┘ »\n", " « ┌──────────────────┐┌───┐┌──────────────────┐┌──────────────────┐┌───┐»\n", " «q_0: ┤ Rz(-0.0112801*θ) ├┤ X ├┤ Rz(0.39793742*θ) ├┤ Rz(0.39793742*θ) ├┤ X ├»\n", " « └──────────────────┘└─┬─┘├──────────────────┤├──────────────────┤└─┬─┘»\n", " «q_1: ──────────────────────■──┤ Rz(-0.3979374*θ) ├┤ Rz(-0.3979374*θ) ├──■──»\n", " « └──────────────────┘└──────────────────┘ »\n", " « ┌──────────────────┐┌───┐┌───┐┌───┐┌──────────────────┐┌───┐┌───┐┌───┐\n", " «q_0: ┤ Rz(-0.0112801*θ) ├┤ X ├┤ H ├┤ X ├┤ Rz(0.18093119*θ) ├┤ X ├┤ H ├┤ H ├\n", " « └──────────────────┘└─┬─┘├───┤└─┬─┘└──────────────────┘└─┬─┘├───┤├───┤\n", " «q_1: ──────────────────────■──┤ H ├──■────────────────────────■──┤ H ├┤ H ├\n", " « └───┘ └───┘└───┘\n", " )\n", " ]),\n", " ComposedOp([\n", " OperatorMeasurement(0.39793742 * IZ\n", " - 0.3979374 * ZI\n", " - 0.0112801 * ZZ),\n", " CircuitStateFn(\n", " global phase: 1.0523732*θ\n", " ┌───┐ ┌───┐┌───┐┌──────────────────┐┌───┐┌───┐┌───┐»\n", " q_0: ┤ H ├──■──┤ H ├┤ X ├┤ Rz(0.18093119*θ) ├┤ X ├┤ H ├┤ X ├»\n", " └───┘┌─┴─┐├───┤└─┬─┘└──────────────────┘└─┬─┘├───┤└─┬─┘»\n", " q_1: ─────┤ X ├┤ H ├──■────────────────────────■──┤ H ├──■──»\n", " └───┘└───┘ └───┘ »\n", " « ┌──────────────────┐┌───┐┌──────────────────┐┌──────────────────┐┌───┐»\n", " «q_0: ┤ Rz(-0.0112801*θ) ├┤ X ├┤ Rz(0.39793742*θ) ├┤ Rz(0.39793742*θ) ├┤ X ├»\n", " « └──────────────────┘└─┬─┘├──────────────────┤├──────────────────┤└─┬─┘»\n", " «q_1: ──────────────────────■──┤ Rz(-0.3979374*θ) ├┤ Rz(-0.3979374*θ) ├──■──»\n", " « └──────────────────┘└──────────────────┘ »\n", " « ┌──────────────────┐┌───┐┌───┐┌───┐┌──────────────────┐┌───┐┌───┐\n", " «q_0: ┤ Rz(-0.0112801*θ) ├┤ X ├┤ H ├┤ X ├┤ Rz(0.18093119*θ) ├┤ X ├┤ H ├\n", " « └──────────────────┘└─┬─┘├───┤└─┬─┘└──────────────────┘└─┬─┘├───┤\n", " «q_1: ──────────────────────■──┤ H ├──■────────────────────────■──┤ H ├\n", " « └───┘ └───┘\n", " )\n", " ])\n", "])\n" ] } ], "source": [ "diagonalized_meas_op = PauliExpectation().convert(trotterized_op)\n", "print(diagonalized_meas_op)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we bind multiple parameter values into a `ListOp`, followed by `eval` to evaluate the entire expression. We could have used `eval` earlier if we bound earlier, but it would not be efficient. Here, `eval` will convert our `CircuitStateFn`s to `VectorStateFn`s through simulation internally." ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "evo_time_points = list(range(8))\n", "h2_trotter_expectations = diagonalized_meas_op.bind_parameters({evo_time: evo_time_points})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the expectation values $\\langle \\Phi_+| e^{iHt} H e^{-iHt} |\\Phi_+\\rangle$ corresponding to the different values of the parameter." ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-0.88272211+0.0e+00j, -0.88272211+0.0e+00j, -0.88272211+0.0e+00j,\n", " -0.88272211+0.0e+00j, -0.88272211+0.0e+00j, -0.88272211+0.0e+00j,\n", " -0.88272211+5.6e-17j, -0.88272211+0.0e+00j])" ] }, "execution_count": 62, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h2_trotter_expectations.eval()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Executing `CircuitStateFn`s with the `CircuitSampler`\n", "\n", "The `CircuitSampler` traverses an Operator and converts any `CircuitStateFn`s into approximations of the resulting state function by a `DictStateFn` or `VectorStateFn` using a quantum backend. Note that in order to approximate the value of the `CircuitStateFn`, it must 1) send the state function through a depolarizing channel, which will destroy all phase information and 2) replace the sampled frequencies with **square roots** of the frequency, rather than the raw probability of sampling (which would be the equivalent of sampling the **square** of the state function, per the Born rule)." ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sampled Trotterized energies:\n", " [-0.88272211 -0.88272211 -0.88272211 -0.88272211 -0.88272211 -0.88272211\n", " -0.88272211 -0.88272211]\n" ] } ], "source": [ "sampler = CircuitSampler(backend=Aer.get_backend('aer_simulator'))\n", "# sampler.quantum_instance.run_config.shots = 1000\n", "sampled_trotter_exp_op = sampler.convert(h2_trotter_expectations)\n", "sampled_trotter_energies = sampled_trotter_exp_op.eval()\n", "print('Sampled Trotterized energies:\\n {}'.format(np.real(sampled_trotter_energies)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note again that the circuits are replaced by dicts with ***square roots*** of the circuit sampling probabilities. Take a look at one sub-expression before and after the conversion:" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Before:\n", "\n", "ComposedOp([\n", " OperatorMeasurement(0.18093119 * ZZ\n", " - 1.0523732 * II),\n", " CircuitStateFn(\n", " ┌───┐ ┌───┐┌───┐┌───────┐┌───┐┌───┐┌───┐┌───────┐┌───┐┌───────┐»\n", " q_0: ┤ H ├──■──┤ H ├┤ X ├┤ Rz(0) ├┤ X ├┤ H ├┤ X ├┤ Rz(0) ├┤ X ├┤ Rz(0) ├»\n", " └───┘┌─┴─┐├───┤└─┬─┘└───────┘└─┬─┘├───┤└─┬─┘└───────┘└─┬─┘├───────┤»\n", " q_1: ─────┤ X ├┤ H ├──■─────────────■──┤ H ├──■─────────────■──┤ Rz(0) ├»\n", " └───┘└───┘ └───┘ └───────┘»\n", " « ┌───────┐┌───┐┌───────┐┌───┐┌───┐┌───┐┌───────┐┌───┐┌───┐┌───┐\n", " «q_0: ┤ Rz(0) ├┤ X ├┤ Rz(0) ├┤ X ├┤ H ├┤ X ├┤ Rz(0) ├┤ X ├┤ H ├┤ H ├\n", " « ├───────┤└─┬─┘└───────┘└─┬─┘├───┤└─┬─┘└───────┘└─┬─┘├───┤├───┤\n", " «q_1: ┤ Rz(0) ├──■─────────────■──┤ H ├──■─────────────■──┤ H ├┤ H ├\n", " « └───────┘ └───┘ └───┘└───┘\n", " )\n", "])\n", "\n", "After:\n", "\n", "ComposedOp([\n", " OperatorMeasurement(0.18093119 * ZZ\n", " - 1.0523732 * II),\n", " DictStateFn({'00': 0.7167090588237321, '11': 0.6973723001381686})\n", "])\n" ] } ], "source": [ "print('Before:\\n')\n", "print(h2_trotter_expectations.reduce()[0][0])\n", "print('\\nAfter:\\n')\n", "print(sampled_trotter_exp_op[0][0])" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
qiskit-terra0.19.0.dev0+fe3eb3f
qiskit-aer0.10.0.dev0+b78f265
qiskit-ignis0.7.0.dev0+0eb9dcc
qiskit-ibmq-provider0.17.0.dev0+15d2dfe
System information
Python version3.9.5
Python compilerClang 10.0.0
Python builddefault, May 18 2021 12:31:01
OSDarwin
CPUs4
Memory (Gb)32.0
Fri Oct 29 16:10:45 2021 BST
" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "

This code is a part of Qiskit

© Copyright IBM 2017, 2021.

This code is licensed under the Apache License, Version 2.0. You may
obtain a copy of this license in the LICENSE.txt file in the root directory
of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.

Any modifications or derivative works of this code must retain this
copyright notice, and modified files need to carry a notice indicating
that they have been altered from the originals.

" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import qiskit.tools.jupyter\n", "%qiskit_version_table\n", "%qiskit_copyright" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.5" } }, "nbformat": 4, "nbformat_minor": 4 } ================================================ FILE: tutorials/operators/02_gradients_framework.ipynb ================================================ { "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "source": [ "# Qiskit Gradient Framework\n", "\n", "The gradient framework enables the evaluation of quantum gradients as well as functions thereof.\n", "Besides standard first order gradients of expectation values of the form\n", "$$ \\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle $$\n", "\n", "\n", "The gradient framework also supports the evaluation of second order gradients (Hessians), and the Quantum Fisher Information (QFI) of quantum states $|\\psi\\left(\\theta\\right)\\rangle$." ] }, { "attachments": { "gradient_framework.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "![gradient_framework.png](attachment:gradient_framework.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "#General imports\n", "import numpy as np\n", "\n", "#Operator Imports\n", "from qiskit.opflow import Z, X, I, StateFn, CircuitStateFn, SummedOp\n", "from qiskit.opflow.gradients import Gradient, NaturalGradient, QFI, Hessian\n", "\n", "#Circuit imports\n", "from qiskit.circuit import QuantumCircuit, QuantumRegister, Parameter, ParameterVector, ParameterExpression\n", "from qiskit.circuit.library import EfficientSU2" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## First Order Gradients\n", "\n", "\n", "Given a parameterized quantum state $|\\psi\\left(\\theta\\right)\\rangle = V\\left(\\theta\\right)|\\psi\\rangle$ with input state $|\\psi\\rangle$, parametrized Ansatz $V\\left(\\theta\\right)$, and observable $\\hat{O}\\left(\\omega\\right)=\\sum_{i}\\omega_i\\hat{O}_i$, we want to compute..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Gradients w.r.t. Measurement Operator Parameters\n", "\n", "Gradient of an expectation value w.r.t. a coefficient of the measurement operator respectively observable $\\hat{O}\\left(\\omega\\right)$, i.e.\n", "$$ \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\omega_i} = \\langle\\psi\\left(\\theta\\right)|\\hat{O}_i\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle. $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First of all, we define a quantum state $|\\psi\\left(\\theta\\right)\\rangle$ and a Hamiltonian $H$ acting as observable. Then, the state and the Hamiltonian are wrapped into an object defining the expectation value $$ \\langle\\psi\\left(\\theta\\right)|H|\\psi\\left(\\theta\\right)\\rangle. $$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ComposedOp([\n", " OperatorMeasurement(2.0 * X\n", " + 1.0 * Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌───────┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b) ├\n", " └───┘└───────┘└───────┘\n", " )\n", "])\n" ] } ], "source": [ "# Instantiate the quantum state\n", "a = Parameter('a')\n", "b = Parameter('b')\n", "q = QuantumRegister(1)\n", "qc = QuantumCircuit(q)\n", "qc.h(q)\n", "qc.rz(a, q[0])\n", "qc.rx(b, q[0])\n", "\n", "# Instantiate the Hamiltonian observable\n", "H = (2 * X) + Z\n", "\n", "# Combine the Hamiltonian observable and the state\n", "op = ~StateFn(H) @ CircuitStateFn(primitive=qc, coeff=1.)\n", "\n", "# Print the operator corresponding to the expectation value\n", "print(op)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We construct a list of the parameters for which we aim to evaluate the gradient.\n", "Now, this list and the expectation value operator are used to generate the operator which represents the gradient." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ListOp([\n", " SummedOp([\n", " ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌─────────────────────────┐┌───────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a + 1.5707963267949) ├┤ RX(b) ├┤ H ├\n", " └───┘└─────────────────────────┘└───────┘└───┘\n", " )\n", " ]),\n", " -1.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌─────────────────────────┐┌───────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a - 1.5707963267949) ├┤ RX(b) ├┤ H ├\n", " └───┘└─────────────────────────┘└───────┘└───┘\n", " )\n", " ]),\n", " 0.5 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌─────────────────────────┐┌───────┐\n", " q0_0: ┤ H ├┤ RZ(a + 1.5707963267949) ├┤ RX(b) ├\n", " └───┘└─────────────────────────┘└───────┘\n", " )\n", " ]),\n", " -0.5 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌─────────────────────────┐┌───────┐\n", " q0_0: ┤ H ├┤ RZ(a - 1.5707963267949) ├┤ RX(b) ├\n", " └───┘└─────────────────────────┘└───────┘\n", " )\n", " ])\n", " ]),\n", " SummedOp([\n", " ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌─────────────────────────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b + 1.5707963267949) ├┤ H ├\n", " └───┘└───────┘└─────────────────────────┘└───┘\n", " )\n", " ]),\n", " -1.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌─────────────────────────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b - 1.5707963267949) ├┤ H ├\n", " └───┘└───────┘└─────────────────────────┘└───┘\n", " )\n", " ]),\n", " 0.5 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌─────────────────────────┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b + 1.5707963267949) ├\n", " └───┘└───────┘└─────────────────────────┘\n", " )\n", " ]),\n", " -0.5 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌─────────────────────────┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b - 1.5707963267949) ├\n", " └───┘└───────┘└─────────────────────────┘\n", " )\n", " ])\n", " ])\n", "])\n" ] } ], "source": [ "params = [a, b]\n", "\n", "# Define the values to be assigned to the parameters\n", "value_dict = {a: np.pi / 4, b: np.pi}\n", "\n", "# Convert the operator and the gradient target params into the respective operator\n", "grad = Gradient().convert(operator = op, params = params)\n", "\n", "# Print the operator corresponding to the Gradient\n", "print(grad)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All that is left to do is to assign values to the parameters and to evaluate the gradient operators." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Gradient [(-1.414213562373094+0j), (-0.7071067811865474+0j)]\n" ] } ], "source": [ "# Assign the parameters and evaluate the gradient\n", "grad_result = grad.assign_parameters(value_dict).eval()\n", "print('Gradient', grad_result)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Gradients w.r.t. State Parameters\n", "\n", "Gradient of an expectation value w.r.t. a state $|\\psi\\left(\\theta\\right)\\rangle$ parameter, i.e.$$\\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta} $$\n", "respectively of sampling probabilities w.r.t. a state $|\\psi\\left(\\theta\\right)\\rangle$ parameter, i.e.\n", "$$ \\frac{\\partial p_i}{\\partial\\theta} = \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|i\\rangle\\langle i |\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta}.$$\n", "A gradient w.r.t. a state parameter may be evaluated with different methods. Each method has advantages and disadvantages." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ComposedOp([\n", " OperatorMeasurement(0.5 * X\n", " - 1.0 * Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌───────┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b) ├\n", " └───┘└───────┘└───────┘\n", " )\n", "])\n" ] } ], "source": [ "# Define the Hamiltonian with fixed coefficients\n", "H = 0.5 * X - 1 * Z\n", "# Define the parameters w.r.t. we want to compute the gradients\n", "params = [a, b]\n", "# Define the values to be assigned to the parameters\n", "value_dict = { a: np.pi / 4, b: np.pi}\n", "\n", "# Combine the Hamiltonian observable and the state into an expectation value operator\n", "op = ~StateFn(H) @ CircuitStateFn(primitive=qc, coeff=1.)\n", "print(op)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Parameter Shift Gradients\n", "Given a Hermitian operator $g$ with two unique eigenvalues $\\pm r$ which acts as generator for a parameterized quantum gate $$G(\\theta)= e^{-i\\theta g}.$$\n", "Then, quantum gradients can be computed by using eigenvalue $r$ dependent shifts to parameters. \n", "All [standard, parameterized Qiskit gates](https://github.com/Qiskit/qiskit-terra/tree/master/qiskit/circuit/library/standard_gates) can be shifted with $\\pi/2$, i.e.,\n", " $$ \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta} = \\left(\\langle\\psi\\left(\\theta+\\pi/2\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta+\\pi/2\\right)\\rangle -\\langle\\psi\\left(\\theta-\\pi/2\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta-\\pi/2\\right)\\rangle\\right) / 2.$$\n", " Probability gradients are computed equivalently." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ListOp([\n", " SummedOp([\n", " 0.25 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌─────────────────────────┐┌───────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a + 1.5707963267949) ├┤ RX(b) ├┤ H ├\n", " └───┘└─────────────────────────┘└───────┘└───┘\n", " )\n", " ]),\n", " -0.25 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌─────────────────────────┐┌───────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a - 1.5707963267949) ├┤ RX(b) ├┤ H ├\n", " └───┘└─────────────────────────┘└───────┘└───┘\n", " )\n", " ]),\n", " -0.5 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌─────────────────────────┐┌───────┐\n", " q0_0: ┤ H ├┤ RZ(a + 1.5707963267949) ├┤ RX(b) ├\n", " └───┘└─────────────────────────┘└───────┘\n", " )\n", " ]),\n", " 0.5 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌─────────────────────────┐┌───────┐\n", " q0_0: ┤ H ├┤ RZ(a - 1.5707963267949) ├┤ RX(b) ├\n", " └───┘└─────────────────────────┘└───────┘\n", " )\n", " ])\n", " ]),\n", " SummedOp([\n", " 0.25 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌─────────────────────────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b + 1.5707963267949) ├┤ H ├\n", " └───┘└───────┘└─────────────────────────┘└───┘\n", " )\n", " ]),\n", " -0.25 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌─────────────────────────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b - 1.5707963267949) ├┤ H ├\n", " └───┘└───────┘└─────────────────────────┘└───┘\n", " )\n", " ]),\n", " -0.5 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌─────────────────────────┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b + 1.5707963267949) ├\n", " └───┘└───────┘└─────────────────────────┘\n", " )\n", " ]),\n", " 0.5 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌─────────────────────────┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b - 1.5707963267949) ├\n", " └───┘└───────┘└─────────────────────────┘\n", " )\n", " ])\n", " ])\n", "])\n", "State gradient computed with parameter shift [(-0.35355339059327356+0j), (0.7071067811865472+0j)]\n" ] } ], "source": [ "# Convert the expectation value into an operator corresponding to the gradient w.r.t. the state parameters using \n", "# the parameter shift method.\n", "state_grad = Gradient(grad_method='param_shift').convert(operator=op, params=params)\n", "# Print the operator corresponding to the gradient\n", "print(state_grad)\n", "# Assign the parameters and evaluate the gradient\n", "state_grad_result = state_grad.assign_parameters(value_dict).eval()\n", "print('State gradient computed with parameter shift', state_grad_result)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Linear Combination of Unitaries Gradients\n", "Unitaries can be written as $U\\left(\\omega\\right) = e^{iM\\left(\\omega\\right)}$, where $M\\left(\\omega\\right)$ denotes a parameterized Hermitian matrix. \n", "Further, Hermitian matrices can be decomposed into weighted sums of Pauli terms, i.e., $M\\left(\\omega\\right) = \\sum_pm_p\\left(\\omega\\right)h_p$ with $m_p\\left(\\omega\\right)\\in\\mathbb{R}$ and $h_p=\\bigotimes\\limits_{j=0}^{n-1}\\sigma_{j, p}$ for $\\sigma_{j, p}\\in\\left\\{I, X, Y, Z\\right\\}$ acting on the $j^{\\text{th}}$ qubit. Thus, the gradients of \n", "$U_k\\left(\\omega_k\\right)$ are given by\n", "\\begin{equation*}\n", "\\frac{\\partial U_k\\left(\\omega_k\\right)}{\\partial\\omega_k} = \\sum\\limits_pi \\frac{\\partial m_{k,p}\\left(\\omega_k\\right)}{\\partial\\omega_k}U_k\\left(\\omega_k\\right)h_{k_p}.\n", "\\end{equation*}\n", "\n", "Combining this observation with a circuit structure presented in [Simulating physical phenomena by quantum networks](https://journals.aps.org/pra/abstract/10.1103/PhysRevA.65.042323) allows us to compute the gradient with the evaluation of a single quantum circuit." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ListOp([\n", " SummedOp([\n", " 0.5 * ComposedOp([\n", " OperatorMeasurement(ZZ) * 2.0,\n", " CircuitStateFn(\n", " ┌───┐ ┌───────┐┌───────┐┌───┐\n", " q0_0: ┤ H ├────────■─┤ RZ(a) ├┤ RX(b) ├┤ H ├\n", " ├───┤┌─────┐ │ └─┬───┬─┘└───────┘└───┘\n", " q81_0: ┤ H ├┤ SDG ├─■───┤ H ├────────────────\n", " └───┘└─────┘ └───┘ \n", " ) * 0.7071067811865476\n", " ]),\n", " -1.0 * ComposedOp([\n", " OperatorMeasurement(ZZ) * 2.0,\n", " CircuitStateFn(\n", " ┌───┐ ┌───────┐┌───────┐\n", " q0_0: ┤ H ├────────■─┤ RZ(a) ├┤ RX(b) ├\n", " ├───┤┌─────┐ │ └─┬───┬─┘└───────┘\n", " q82_0: ┤ H ├┤ SDG ├─■───┤ H ├───────────\n", " └───┘└─────┘ └───┘ \n", " ) * 0.7071067811865476\n", " ])\n", " ]),\n", " SummedOp([\n", " 0.5 * ComposedOp([\n", " OperatorMeasurement(ZZ) * 2.0,\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌───┐┌───────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ X ├┤ RX(b) ├┤ H ├\n", " ├───┤└┬─────┬┘└─┬─┘└─┬───┬─┘└───┘\n", " q83_0: ┤ H ├─┤ SDG ├───■────┤ H ├───────\n", " └───┘ └─────┘ └───┘ \n", " ) * 0.7071067811865476\n", " ]),\n", " -1.0 * ComposedOp([\n", " OperatorMeasurement(ZZ) * 2.0,\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌───┐┌───────┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ X ├┤ RX(b) ├\n", " ├───┤└┬─────┬┘└─┬─┘└─┬───┬─┘\n", " q84_0: ┤ H ├─┤ SDG ├───■────┤ H ├──\n", " └───┘ └─────┘ └───┘ \n", " ) * 0.7071067811865476\n", " ])\n", " ])\n", "])\n", "State gradient computed with the linear combination method [(-0.3535533905932737+0j), (0.7071067811865472+0j)]\n" ] } ], "source": [ "# Convert the expectation value into an operator corresponding to the gradient w.r.t. the state parameter using \n", "# the linear combination of unitaries method.\n", "state_grad = Gradient(grad_method='lin_comb').convert(operator=op, params=params)\n", "\n", "# Print the operator corresponding to the gradient\n", "print(state_grad)\n", "\n", "# Assign the parameters and evaluate the gradient\n", "state_grad_result = state_grad.assign_parameters(value_dict).eval()\n", "print('State gradient computed with the linear combination method', state_grad_result)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Finite Difference Gradients\n", "\n", "Unlike the other methods, finite difference gradients are numerical estimations rather than analytical values.\n", "This implementation employs a central difference approach with $\\epsilon \\ll 1$\n", "$$ \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta} \\approx \\frac{1}{2\\epsilon} \\left(\\langle\\psi\\left(\\theta+\\epsilon\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta+\\epsilon\\right)\\rangle - \\partial\\langle\\psi\\left(\\theta-\\epsilon\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta-\\epsilon\\right)\\rangle\\right).$$\n", " Probability gradients are computed equivalently." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ListOp([\n", " SummedOp([\n", " 250000.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌────────────────┐┌───────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a + 1.0e-6) ├┤ RX(b) ├┤ H ├\n", " └───┘└────────────────┘└───────┘└───┘\n", " )\n", " ]),\n", " -250000.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌────────────────┐┌───────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a - 1.0e-6) ├┤ RX(b) ├┤ H ├\n", " └───┘└────────────────┘└───────┘└───┘\n", " )\n", " ]),\n", " -500000.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌────────────────┐┌───────┐\n", " q0_0: ┤ H ├┤ RZ(a + 1.0e-6) ├┤ RX(b) ├\n", " └───┘└────────────────┘└───────┘\n", " )\n", " ]),\n", " 500000.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌────────────────┐┌───────┐\n", " q0_0: ┤ H ├┤ RZ(a - 1.0e-6) ├┤ RX(b) ├\n", " └───┘└────────────────┘└───────┘\n", " )\n", " ])\n", " ]),\n", " SummedOp([\n", " 250000.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌────────────────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b + 1.0e-6) ├┤ H ├\n", " └───┘└───────┘└────────────────┘└───┘\n", " )\n", " ]),\n", " -250000.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌────────────────┐┌───┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b - 1.0e-6) ├┤ H ├\n", " └───┘└───────┘└────────────────┘└───┘\n", " )\n", " ]),\n", " -500000.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌────────────────┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b + 1.0e-6) ├\n", " └───┘└───────┘└────────────────┘\n", " )\n", " ]),\n", " 500000.0 * ComposedOp([\n", " OperatorMeasurement(Z),\n", " CircuitStateFn(\n", " ┌───┐┌───────┐┌────────────────┐\n", " q0_0: ┤ H ├┤ RZ(a) ├┤ RX(b - 1.0e-6) ├\n", " └───┘└───────┘└────────────────┘\n", " )\n", " ])\n", " ])\n", "])\n", "State gradient computed with finite difference [(-0.35355339057345814+0j), (0.707106781149+0j)]\n" ] } ], "source": [ "# Convert the expectation value into an operator corresponding to the gradient w.r.t. the state parameter using \n", "# the finite difference method.\n", "state_grad = Gradient(grad_method='fin_diff').convert(operator=op, params=params)\n", "\n", "# Print the operator corresponding to the gradient\n", "print(state_grad)\n", "\n", "# Assign the parameters and evaluate the gradient\n", "state_grad_result = state_grad.assign_parameters(value_dict).eval()\n", "print('State gradient computed with finite difference', state_grad_result)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Natural Gradient\n", "\n", "A special type of first order gradient is the natural gradient which has proven itself useful in classical machine learning and is already being studied in the quantum context. This quantity represents a gradient that is 'rescaled' with the inverse [Quantum Fisher Information matrix](#Quantum-Fisher-Information-(QFI)) (QFI)\n", "$$ QFI ^{-1} \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Instead of inverting the QFI, one can also use a least-square solver with or without regularization to solve\n", "\n", "$$ QFI x = \\frac{\\partial\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta}.$$\n", "\n", "The implementation supports ridge and lasso regularization with automatic search for a good parameter using [L-curve corner search](https://arxiv.org/pdf/1608.04571.pdf) as well as two types of perturbations of the diagonal elements of the QFI.\n", "\n", "The natural gradient can be used instead of the standard gradient with any gradient-based optimizer and/or ODE solver." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Natural gradient computed with linear combination of unitaries [-2.62895551 1.31447775]\n" ] } ], "source": [ "# Besides the method to compute the circuit gradients resp. QFI, a regularization method can be chosen: \n", "# `ridge` or `lasso` with automatic parameter search or `perturb_diag_elements` or `perturb_diag` \n", "# which perturb the diagonal elements of the QFI.\n", "nat_grad = NaturalGradient(grad_method='lin_comb', qfi_method='lin_comb_full', regularization='ridge').convert(\n", " operator=op, params=params)\n", "\n", "# Assign the parameters and evaluate the gradient\n", "nat_grad_result = nat_grad.assign_parameters(value_dict).eval()\n", "print('Natural gradient computed with linear combination of unitaries', nat_grad_result)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Hessians (Second Order Gradients)\n", "\n", "Four types of second order gradients are supported by the gradient framework.\n", "\n", "1. Gradient of an expectation value w.r.t. a coefficient of the measurement operator respectively observable $\\hat{O}\\left(\\omega\\right)$, i.e.\n", "$\\frac{\\partial^2\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\omega^2}$\n", "2. Gradient of an expectation value w.r.t. a state $|\\psi\\left(\\theta\\right)\\rangle$ parameter, i.e.\n", "$\\frac{\\partial^2\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta^2}$\n", "3. Gradient of sampling probabilities w.r.t. a state $|\\psi\\left(\\theta\\right)\\rangle$ parameter, i.e.\n", "$\\frac{\\partial^2 p_i}{\\partial\\theta^2} = \\frac{\\partial^2\\langle\\psi\\left(\\theta\\right)|i\\rangle\\langle i|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta^2}$\n", "4. Gradient of an expectation value w.r.t. a state $|\\psi\\left(\\theta\\right)\\rangle$ parameter and a coefficient of the measurement operator respectively observable $\\hat{O}\\left(\\omega\\right)$, i.e.\n", "$\\frac{\\partial^2\\langle\\psi\\left(\\theta\\right)|\\hat{O}\\left(\\omega\\right)|\\psi\\left(\\theta\\right)\\rangle}{\\partial\\theta\\partial\\omega}$\n", "\n", "In the following examples are given for the first two Hessian types. The remaining Hessians are evaluated analogously." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hessians w.r.t. Measurement Operator Parameters\n", "\n", "Again, we define a quantum state $|\\psi\\left(\\theta\\right)\\rangle$ and a Hamiltonian $H$ acting as observable. Then, the state and the Hamiltonian are wrapped into an object defining the expectation value $$ \\langle\\psi\\left(\\theta\\right)|H|\\psi\\left(\\theta\\right)\\rangle. $$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Instantiate the Hamiltonian observable\n", "H = X\n", "\n", "# Instantiate the quantum state with two parameters\n", "a = Parameter('a')\n", "b = Parameter('b')\n", "\n", "q = QuantumRegister(1)\n", "qc = QuantumCircuit(q)\n", "qc.h(q)\n", "qc.rz(a, q[0])\n", "qc.rx(b, q[0])\n", "\n", "# Combine the Hamiltonian observable and the state\n", "op = ~StateFn(H) @ CircuitStateFn(primitive=qc, coeff=1.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we can choose the parameters for which we want to compute second order gradients.\n", "- Given a tuple, the `Hessian` will evaluate the second order gradient for the two parameters. \n", "- Given a list, the `Hessian` will evaluate the second order gradient for all possible combinations of tuples of these parameters.\n", "\n", "After binding parameter values to the parameters, the Hessian can be evaluated." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hessian \n", " [[-7.07106781e-01 0.00000000e+00]\n", " [ 0.00000000e+00 -5.55111512e-17]]\n" ] } ], "source": [ "# Convert the operator and the hessian target coefficients into the respective operator\n", "hessian = Hessian().convert(operator = op, params = [a, b])\n", "\n", "# Define the values to be assigned to the parameters\n", "value_dict = {a: np.pi / 4, b: np.pi/4}\n", "\n", "# Assign the parameters and evaluate the Hessian w.r.t. the Hamiltonian coefficients\n", "hessian_result = hessian.assign_parameters(value_dict).eval()\n", "print('Hessian \\n', np.real(np.array(hessian_result)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hessians w.r.t. State Parameters" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hessian computed using the parameter shift method\n", " [[-7.07106781e-01+0.j 0.00000000e+00+0.j]\n", " [ 0.00000000e+00+0.j -5.55111512e-17+0.j]]\n", "Hessian computed using the linear combination of unitaries method\n", " [[-7.07106781e-01+0.j 0.00000000e+00+0.j]\n", " [ 0.00000000e+00+0.j 5.60000000e-17+0.j]]\n", "Hessian computed with finite difference\n", " [[-7.07122803e-01+0.j 3.05175781e-05+0.j]\n", " [ 3.05175781e-05+0.j -6.10351562e-05+0.j]]\n" ] } ], "source": [ "# Define parameters\n", "params = [a, b]\n", "\n", "# Get the operator object representing the Hessian\n", "state_hess = Hessian(hess_method='param_shift').convert(operator=op, params=params)\n", "# Assign the parameters and evaluate the Hessian\n", "hessian_result = state_hess.assign_parameters(value_dict).eval()\n", "print('Hessian computed using the parameter shift method\\n', (np.array(hessian_result)))\n", "\n", "# Get the operator object representing the Hessian\n", "state_hess = Hessian(hess_method='lin_comb').convert(operator=op, params=params)\n", "# Assign the parameters and evaluate the Hessian\n", "hessian_result = state_hess.assign_parameters(value_dict).eval()\n", "print('Hessian computed using the linear combination of unitaries method\\n', (np.array(hessian_result)))\n", "\n", "# Get the operator object representing the Hessian using finite difference\n", "state_hess = Hessian(hess_method='fin_diff').convert(operator=op, params=params)\n", "# Assign the parameters and evaluate the Hessian\n", "hessian_result = state_hess.assign_parameters(value_dict).eval()\n", "print('Hessian computed with finite difference\\n', (np.array(hessian_result)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Quantum Fisher Information (QFI)\n", "The Quantum Fisher Information is a metric tensor which is representative for the representation capacity of a \n", "parameterized quantum state $|\\psi\\left(\\theta\\right)\\rangle = V\\left(\\theta\\right)|\\psi\\rangle$ with input state $|\\psi\\rangle$, parametrized Ansatz $V\\left(\\theta\\right)$.\n", "\n", "The entries of the QFI for a pure state reads\n", "\n", "$$QFI_{kl} = 4 * \\text{Re}\\left[\\langle\\partial_k\\psi|\\partial_l\\psi\\rangle-\\langle\\partial_k\\psi|\\psi\\rangle\\langle\\psi|\\partial_l\\psi\\rangle \\right].$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Circuit QFIs\n", "\n", "The evaluation of the QFI corresponding to a quantum state that is generated by a parameterized quantum circuit can be conducted in different ways.\n", "\n", "### Linear Combination Full QFI\n", "To compute the full QFI, we use a working qubit as well as intercepting controlled gates. See e.g. [Variational ansatz-based quantum simulation of imaginary time evolution ](https://www.nature.com/articles/s41534-019-0187-2)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "full QFI \n", " [[ 1.0000000e+00 -2.0659798e-16]\n", " [-2.0659798e-16 5.0000000e-01]]\n" ] } ], "source": [ "# Wrap the quantum circuit into a CircuitStateFn\n", "state = CircuitStateFn(primitive=qc, coeff=1.)\n", "\n", "# Convert the state and the parameters into the operator object that represents the QFI \n", "qfi = QFI(qfi_method='lin_comb_full').convert(operator=state, params=params)\n", "# Define the values for which the QFI is to be computed\n", "values_dict = {a: np.pi / 4, b: 0.1}\n", "\n", "# Assign the parameters and evaluate the QFI\n", "qfi_result = qfi.assign_parameters(values_dict).eval()\n", "print('full QFI \\n', np.real(np.array(qfi_result)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Block-diagonal and Diagonal Approximation\n", "A block-diagonal resp. diagonal approximation of the QFI can be computed without additional working qubits.\n", "This implementation requires the unrolling into Pauli rotations and unparameterized Gates." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Block-diagonal QFI \n", " [[1. 0. ]\n", " [0. 0.5]]\n", "Diagonal QFI \n", " [[1. 0. ]\n", " [0. 0.5]]\n" ] } ], "source": [ "# Convert the state and the parameters into the operator object that represents the QFI \n", "# and set the approximation to 'block_diagonal'\n", "qfi = QFI('overlap_block_diag').convert(operator=state, params=params)\n", "\n", "# Assign the parameters and evaluate the QFI\n", "qfi_result = qfi.assign_parameters(values_dict).eval()\n", "print('Block-diagonal QFI \\n', np.real(np.array(qfi_result)))\n", "\n", "# Convert the state and the parameters into the operator object that represents the QFI \n", "# and set the approximation to 'diagonal'\n", "qfi = QFI('overlap_diag').convert(operator=state, params=params)\n", "\n", "# Assign the parameters and evaluate the QFI\n", "qfi_result = qfi.assign_parameters(values_dict).eval()\n", "print('Diagonal QFI \\n', np.real(np.array(qfi_result)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Application Example: VQE with gradient-based optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Additional Imports" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Execution Imports\n", "from qiskit import Aer\n", "from qiskit.utils import QuantumInstance\n", "\n", "# Algorithm Imports\n", "from qiskit.algorithms import VQE\n", "from qiskit.algorithms.optimizers import CG" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The Gradient Framework can also be used for a gradient-based `VQE`.\n", "First, the Hamiltonian and wavefunction ansatz are initialized." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "from qiskit.opflow import I, X, Z\n", "from qiskit.circuit import QuantumCircuit, ParameterVector\n", "from scipy.optimize import minimize\n", "\n", "# Instantiate the system Hamiltonian\n", "h2_hamiltonian = -1.05 * (I ^ I) + 0.39 * (I ^ Z) - 0.39 * (Z ^ I) - 0.01 * (Z ^ Z) + 0.18 * (X ^ X)\n", "\n", "# This is the target energy\n", "h2_energy = -1.85727503\n", "\n", "# Define the Ansatz\n", "wavefunction = QuantumCircuit(2)\n", "params = ParameterVector('theta', length=8)\n", "it = iter(params)\n", "wavefunction.ry(next(it), 0)\n", "wavefunction.ry(next(it), 1)\n", "wavefunction.rz(next(it), 0)\n", "wavefunction.rz(next(it), 1)\n", "wavefunction.cx(0, 1)\n", "wavefunction.ry(next(it), 0)\n", "wavefunction.ry(next(it), 1)\n", "wavefunction.rz(next(it), 0)\n", "wavefunction.rz(next(it), 1)\n", "\n", "# Define the expectation value corresponding to the energy\n", "op = ~StateFn(h2_hamiltonian) @ StateFn(wavefunction)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can choose whether the `VQE` should use a `Gradient` or `NaturalGradient`, define a `QuantumInstance` to execute the quantum circuits and run the algorithm." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Result: -0.8800000000000001 Reference: -1.85727503\n" ] } ], "source": [ "grad = Gradient(grad_method='lin_comb')\n", "\n", "qi_sv = QuantumInstance(Aer.get_backend('aer_simulator_statevector'),\n", " shots=1,\n", " seed_simulator=2,\n", " seed_transpiler=2)\n", "\n", "#Conjugate Gradient algorithm\n", "optimizer = CG(maxiter=50)\n", "\n", "# Gradient callable\n", "vqe = VQE(wavefunction, optimizer=optimizer, gradient=grad, quantum_instance=qi_sv)\n", "\n", "result = vqe.compute_minimum_eigenvalue(h2_hamiltonian)\n", "print('Result:', result.optimal_value, 'Reference:', h2_energy)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "notes" } }, "outputs": [ { "data": { "text/html": [ "

Version Information

Qiskit SoftwareVersion
QiskitNone
Terra0.17.4
Aer0.8.2
IgnisNone
AquaNone
IBM Q ProviderNone
System information
Python3.8.8 (default, Apr 13 2021, 12:59:45) \n", "[Clang 10.0.0 ]
OSDarwin
CPUs2
Memory (Gb)12.0
Fri May 28 09:42:47 2021 EDT
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