Copy disabled (too large)
Download .txt
Showing preview only (41,530K chars total). Download the full file to get everything.
Repository: qiskit-community/qgss-2025
Branch: main
Commit: 0069a573c4ef
Files: 56
Total size: 39.2 MB
Directory structure:
gitextract_kuvafn0a/
├── .gitignore
├── LICENSE
├── README.md
├── community-labs/
│ └── README.md
├── functions-labs/
│ ├── README.md
│ ├── algorithmiq/
│ │ ├── TEM_lab_validation.py
│ │ └── algorithmiq_tensor-network_error_mitigation (TEM).ipynb
│ ├── colibri-td/
│ │ ├── colibritd_quick-pde.ipynb
│ │ └── grader.py
│ ├── global-data-quantum/
│ │ ├── gdq_quantum_portfolio_optimizer.ipynb
│ │ └── grader.py
│ ├── kipu/
│ │ ├── data/
│ │ │ └── ibm_washington.txt
│ │ ├── grader_iskay.py
│ │ └── kipu_iskay_quantum_optimizer.ipynb
│ ├── multiverse/
│ │ ├── data/
│ │ │ └── grid_stability/
│ │ │ ├── test.csv
│ │ │ └── train.csv
│ │ ├── grader.py
│ │ └── multiverse_singularity.ipynb
│ ├── q-ctrl/
│ │ ├── grader.py
│ │ └── q-ctrl_performance_management.ipynb
│ ├── qedma/
│ │ ├── grader.py
│ │ └── qedma_qesem.ipynb
│ └── qunova/
│ ├── grader.py
│ └── qunova_hi-vqe.ipynb
├── lab-0/
│ ├── lab0-ko.ipynb
│ ├── lab0.ipynb
│ ├── lab0_br.ipynb
│ ├── lab0_cn.ipynb
│ ├── lab0_hindi.ipynb
│ └── lab0_ja.ipynb
├── lab-1/
│ ├── Supplemental_long_range_entanglement_with_limited_qubit_connectivity.ipynb
│ ├── lab1-ko.ipynb
│ ├── lab1.ipynb
│ ├── lab1_hindi.ipynb
│ └── lab1_ja.ipynb
├── lab-2/
│ ├── Lab2-ko.ipynb
│ ├── Lab2.ipynb
│ ├── Lab2_ja.ipynb
│ └── utils.py
├── lab-3/
│ ├── lab3-ko.ipynb
│ ├── lab3.ipynb
│ ├── lab3_ja.ipynb
│ └── utils/
│ ├── N2_device_bitarray.npy
│ ├── backend_target_v20.pkl
│ └── backend_target_v21.pkl
├── lab-4/
│ ├── lab4-ko.ipynb
│ ├── lab4.ipynb
│ ├── lab4_ja.ipynb
│ ├── lab4_util-ko.py
│ └── lab4_util.py
├── lecture_supplementary/
│ └── FermiHubbard-Example.ipynb
└── solutions/
├── lab-0/
│ └── lab0-solution.ipynb
├── lab-1/
│ └── lab1-solution.ipynb
├── lab-2/
│ └── lab2-solution.ipynb
├── lab-3/
│ └── lab3-solution.ipynb
└── lab-4/
└── lab4-solution.ipynb
================================================
FILE CONTENTS
================================================
================================================
FILE: .gitignore
================================================
# Byte-compiled / optimized / DLL files
__pycache__/
*.py[cod]
*$py.class
# C extensions
*.so
# Distribution / packaging
.Python
build/
develop-eggs/
dist/
downloads/
eggs/
.eggs/
lib/
lib64/
parts/
sdist/
var/
wheels/
share/python-wheels/
*.egg-info/
.installed.cfg
*.egg
MANIFEST
# PyInstaller
# Usually these files are written by a python script from a template
# before PyInstaller builds the exe, so as to inject date/other infos into it.
*.manifest
*.spec
# Installer logs
pip-log.txt
pip-delete-this-directory.txt
# Unit test / coverage reports
htmlcov/
.tox/
.nox/
.coverage
.coverage.*
.cache
nosetests.xml
coverage.xml
*.cover
*.py,cover
.hypothesis/
.pytest_cache/
cover/
# Translations
*.mo
*.pot
# Django stuff:
*.log
local_settings.py
db.sqlite3
db.sqlite3-journal
# Flask stuff:
instance/
.webassets-cache
# Scrapy stuff:
.scrapy
# Sphinx documentation
docs/_build/
# PyBuilder
.pybuilder/
target/
# Jupyter Notebook
.ipynb_checkpoints
# IPython
profile_default/
ipython_config.py
# pyenv
# For a library or package, you might want to ignore these files since the code is
# intended to run in multiple environments; otherwise, check them in:
# .python-version
# pipenv
# According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
# However, in case of collaboration, if having platform-specific dependencies or dependencies
# having no cross-platform support, pipenv may install dependencies that don't work, or not
# install all needed dependencies.
#Pipfile.lock
# UV
# Similar to Pipfile.lock, it is generally recommended to include uv.lock in version control.
# This is especially recommended for binary packages to ensure reproducibility, and is more
# commonly ignored for libraries.
#uv.lock
# poetry
# Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control.
# This is especially recommended for binary packages to ensure reproducibility, and is more
# commonly ignored for libraries.
# https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control
#poetry.lock
# pdm
# Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control.
#pdm.lock
# pdm stores project-wide configurations in .pdm.toml, but it is recommended to not include it
# in version control.
# https://pdm.fming.dev/latest/usage/project/#working-with-version-control
.pdm.toml
.pdm-python
.pdm-build/
# PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm
__pypackages__/
# Celery stuff
celerybeat-schedule
celerybeat.pid
# SageMath parsed files
*.sage.py
# Environments
.env
.venv
env/
venv/
ENV/
env.bak/
venv.bak/
# Spyder project settings
.spyderproject
.spyproject
# Rope project settings
.ropeproject
# mkdocs documentation
/site
# mypy
.mypy_cache/
.dmypy.json
dmypy.json
# Pyre type checker
.pyre/
# pytype static type analyzer
.pytype/
# Cython debug symbols
cython_debug/
# PyCharm
# JetBrains specific template is maintained in a separate JetBrains.gitignore that can
# be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore
# and can be added to the global gitignore or merged into this file. For a more nuclear
# option (not recommended) you can uncomment the following to ignore the entire idea folder.
#.idea/
# Abstra
# Abstra is an AI-powered process automation framework.
# Ignore directories containing user credentials, local state, and settings.
# Learn more at https://abstra.io/docs
.abstra/
# Visual Studio Code
# Visual Studio Code specific template is maintained in a separate VisualStudioCode.gitignore
# that can be found at https://github.com/github/gitignore/blob/main/Global/VisualStudioCode.gitignore
# and can be added to the global gitignore or merged into this file. However, if you prefer,
# you could uncomment the following to ignore the enitre vscode folder
# .vscode/
# Ruff stuff:
.ruff_cache/
# PyPI configuration file
.pypirc
# Cursor
# Cursor is an AI-powered code editor. `.cursorignore` specifies files/directories to
# exclude from AI features like autocomplete and code analysis. Recommended for sensitive data
# refer to https://docs.cursor.com/context/ignore-files
.cursorignore
.cursorindexingignore
================================================
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. For the purposes of this definition,
"control" means (i) the power, direct or indirect, to cause the
direction or management of such entity, whether by contract or
otherwise, or (ii) ownership of fifty percent (50%) or more of the
outstanding shares, or (iii) beneficial ownership of such entity.
"You" (or "Your") shall mean an individual or Legal Entity
exercising permissions granted by this License.
"Source" form shall mean the preferred form for making modifications,
including but not limited to software source code, documentation
source, and configuration files.
"Object" form shall mean any form resulting from mechanical
transformation or translation of a Source form, including but
not limited to compiled object code, generated documentation,
and conversions to other media types.
"Work" shall mean the work of authorship, whether in Source or
Object form, made available under the License, as indicated by a
copyright notice that is included in or attached to the work
(an example is provided in the Appendix below).
"Derivative Works" shall mean any work, whether in Source or Object
form, that is based on (or derived from) the Work and for which the
editorial revisions, annotations, elaborations, or other modifications
represent, as a whole, an original work of authorship. For the purposes
of this License, Derivative Works shall not include works that remain
separable from, or merely link (or bind by name) to the interfaces of,
the Work and Derivative Works thereof.
"Contribution" shall mean any work of authorship, including
the original version of the Work and any modifications or additions
to that Work or Derivative Works thereof, that is intentionally
submitted to Licensor for inclusion in the Work by the copyright owner
or by an individual or Legal Entity authorized to submit on behalf of
the copyright owner. For the purposes of this definition, "submitted"
means any form of electronic, verbal, or written communication sent
to the Licensor or its representatives, including but not limited to
communication on electronic mailing lists, source code control systems,
and issue tracking systems that are managed by, or on behalf of, the
Licensor for the purpose of discussing and improving the Work, but
excluding communication that is conspicuously marked or otherwise
designated in writing by the copyright owner as "Not a Contribution."
"Contributor" shall mean Licensor and any individual or Legal Entity
on behalf of whom a Contribution has been received by Licensor and
subsequently incorporated within the Work.
2. Grant of Copyright License. Subject to the terms and conditions of
this License, each Contributor hereby grants to You a perpetual,
worldwide, non-exclusive, no-charge, royalty-free, irrevocable
copyright license to reproduce, prepare Derivative Works of,
publicly display, publicly perform, sublicense, and distribute the
Work and such Derivative Works in Source or Object form.
3. Grant of Patent License. Subject to the terms and conditions of
this License, each Contributor hereby grants to You a perpetual,
worldwide, non-exclusive, no-charge, royalty-free, irrevocable
(except as stated in this section) patent license to make, have made,
use, offer to sell, sell, import, and otherwise transfer the Work,
where such license applies only to those patent claims licensable
by such Contributor that are necessarily infringed by their
Contribution(s) alone or by combination of their Contribution(s)
with the Work to which such Contribution(s) was submitted. If You
institute patent litigation against any entity (including a
cross-claim or counterclaim in a lawsuit) alleging that the Work
or a Contribution incorporated within the Work constitutes direct
or contributory patent infringement, then any patent licenses
granted to You under this License for that Work shall terminate
as of the date such litigation is filed.
4. Redistribution. You may reproduce and distribute copies of the
Work or Derivative Works thereof in any medium, with or without
modifications, and in Source or Object form, provided that You
meet the following conditions:
(a) You must give any other recipients of the Work or
Derivative Works a copy of this License; and
(b) You must cause any modified files to carry prominent notices
stating that You changed the files; and
(c) You must retain, in the Source form of any Derivative Works
that You distribute, all copyright, patent, trademark, and
attribution notices from the Source form of the Work,
excluding those notices that do not pertain to any part of
the Derivative Works; and
(d) If the Work includes a "NOTICE" text file as part of its
distribution, then any Derivative Works that You distribute must
include a readable copy of the attribution notices contained
within such NOTICE file, excluding those notices that do not
pertain to any part of the Derivative Works, in at least one
of the following places: within a NOTICE text file distributed
as part of the Derivative Works; within the Source form or
documentation, if provided along with the Derivative Works; or,
within a display generated by the Derivative Works, if and
wherever such third-party notices normally appear. The contents
of the NOTICE file are for informational purposes only and
do not modify the License. You may add Your own attribution
notices within Derivative Works that You distribute, alongside
or as an addendum to the NOTICE text from the Work, provided
that such additional attribution notices cannot be construed
as modifying the License.
You may add Your own copyright statement to Your modifications and
may provide additional or different license terms and conditions
for use, reproduction, or distribution of Your modifications, or
for any such Derivative Works as a whole, provided Your use,
reproduction, and distribution of the Work otherwise complies with
the conditions stated in this License.
5. Submission of Contributions. Unless You explicitly state otherwise,
any Contribution intentionally submitted for inclusion in the Work
by You to the Licensor shall be under the terms and conditions of
this License, without any additional terms or conditions.
Notwithstanding the above, nothing herein shall supersede or modify
the terms of any separate license agreement you may have executed
with Licensor regarding such Contributions.
6. Trademarks. This License does not grant permission to use the trade
names, trademarks, service marks, or product names of the Licensor,
except as required for reasonable and customary use in describing the
origin of the Work and reproducing the content of the NOTICE file.
7. Disclaimer of Warranty. Unless required by applicable law or
agreed to in writing, Licensor provides the Work (and each
Contributor provides its Contributions) on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or
implied, including, without limitation, any warranties or conditions
of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A
PARTICULAR PURPOSE. You are solely responsible for determining the
appropriateness of using or redistributing the Work and assume any
risks associated with Your exercise of permissions under this License.
8. Limitation of Liability. In no event and under no legal theory,
whether in tort (including negligence), contract, or otherwise,
unless required by applicable law (such as deliberate and grossly
negligent acts) or agreed to in writing, shall any Contributor be
liable to You for damages, including any direct, indirect, special,
incidental, or consequential damages of any character arising as a
result of this License or out of the use or inability to use the
Work (including but not limited to damages for loss of goodwill,
work stoppage, computer failure or malfunction, or any and all
other commercial damages or losses), even if such Contributor
has been advised of the possibility of such damages.
9. Accepting Warranty or Additional Liability. While redistributing
the Work or Derivative Works thereof, You may choose to offer,
and charge a fee for, acceptance of support, warranty, indemnity,
or other liability obligations and/or rights consistent with this
License. However, in accepting such obligations, You may act only
on Your own behalf and on Your sole responsibility, not on behalf
of any other Contributor, and only if You agree to indemnify,
defend, and hold each Contributor harmless for any liability
incurred by, or claims asserted against, such Contributor by reason
of your accepting any such warranty or additional liability.
END OF TERMS AND CONDITIONS
APPENDIX: How to apply the Apache License to your work.
To apply the Apache License to your work, attach the following
boilerplate notice, with the fields enclosed by brackets "[]"
replaced with your own identifying information. (Don't include
the brackets!) The text should be enclosed in the appropriate
comment syntax for the file format. We also recommend that a
file or class name and description of purpose be included on the
same "printed page" as the copyright notice for easier
identification within third-party archives.
Copyright [yyyy] [name of copyright owner]
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
================================================
FILE: README.md
================================================
# qgss-2025
Qiskit Global Summer School: The Past, Present and Future of Quantum Computing
# Launch on qBraid
qBraid is an official Jupyter Lab cloud platform host for the Qiskit Global Summer School this year. Follow our quick tutorial [here](https://docs.qbraid.com/lab/user-guide/qgss-2025) to get started with no set-up, installations, or hassle.
To open the QGSS files, labs, and resources directly on qBraid, click this button:
[<img src="https://qbraid-static.s3.amazonaws.com/logos/Launch_on_qBraid_white.png" width="150">](https://account.qbraid.com/?gitHubUrl=https://github.com/qiskit-community/qgss-2025.git&api=v2)
================================================
FILE: community-labs/README.md
================================================
# QGSS-2025-community-labs
As part of the future leaders in quantum hackathon: https://aiforgood.itu.int/the-future-leaders-in-quantum-hackathon/ the winners in the education category got the chance to provide their created educational labs to participants on the Qiskit Global Summer School as community labs. The labs linked here are optional for the Qiskit Global Summer School and provide additional challenges in case you still want to do more and we highly recommend them if you are interested in learning more about the subjects.
We were really happy with what the participants of the FLIQ hackathon created and present here the winners:
1. Quantum Error Correction with the Surface-17 Code by Dev Verma
2. Quantum Simulation of GUT Baryogenesis by Mukul Kumar & Vivek Pal
3. Grover's Algorithm - Quantum Searching with Qiskit by Felix Arkle & Sebastian Gotto
4. CHSH Game: Testing the Limits of Reality with Quantum Mechanics by Lakshmi Yendapalli
# 1. Quantum Error Correction with the Surface-17 Code
## Author Dev Verma
I recently graduated from NTU as a scholar in Applied Physics. I am passionate about quantum computing and cryptography and will be working towards growing my understanding and expertise in these fields.
## About the Challenge:
My Jupyter notebook is a tutorial on quantum error correction, focusing on the surface-17 code, which is one of the most promising approaches to quantum error correction. The tutorial assumes no background in error correction; it builds the reader's understanding from simple classical repetition codes to the stabiliser formalism, and ultimately the surface-17 code. It also discusses the heavy-hex lattice architecture, which is more realistic for the current dominant quantum hardware configuration - IBM's superconducting circuits.
## Link:
The challenge can be found on the github of Dev Verma: https://github.com/TheSonOfKrypton/FLIQ-Hackathon-2025/blob/main/QEC%20-%20Surface-17%20Code.ipynb
# 2. Quantum Simulation of GUT Baryogenesis
## Authors Mukul Kumar & Vivek Pal
Mukul Kumar is an 18-year-old dropout student researching nature simulations on quantum computers and he created this challenge together with Vivek Pal.
## About the Challenge:
Our challenge is basically a fun experiment that helps you learn about the beginning of the universe and some unsolved mysteries, all of which we are going to study with quantum circuits.
## Link:
The challenge can be found on the github of Mukul Kumar: https://github.com/mk0dz/qgss25/blob/main/lab.ipynb
# 3. Grover's Algorithm - Quantum Searching with Qiskit
## Authors Felix Arkle & Sebastian Gotto
Felix Arkle: Currently an undergraduate student at Newcastle University studying computer science. Sebastian Gotto: A recent graduate of UCL having studied Statistics, Economics and Finance.
## About the Challenge:
This lab focuses on building and demonstrating Grover's algorithm, a quantum search algorithm. You'll construct the necessary quantum circuits, including the oracle and diffusion operators. This lab is suitable for beginners.
## Link:
The challenge can be found on the github of Felix Arkle: https://github.com/Bumsparkle/Grovers-Algorithm-Tutorial/blob/main/grovers_algorithm_tutorial.ipynb
# 4. CHSH Game: Testing the Limits of Reality with Quantum Mechanics
## Author Lakshmi Yendapalli
Lakshmi Yendapalli is a former strategy consultant turned computer scientist, currently pursuing her master’s in Computer Science at Georgia Tech. She’s especially fascinated by what mischief qubits are up to when no one’s looking.
## About the Challenge:
Ever wanted to recreate some of the experiments that earned the 2022 Nobel Prize in Physics? How about proving Einstein wrong while we’re at it? In this hands-on lab on the CHSH game, we’ll explore the surprising foundations of quantum mechanics. Starting from the EPR paradox and Einstein-Bohr debates, we’ll journey through the development of Bell's theorem, culminating in the CHSH inequality. Then we’ll jump into Qiskit to build and run quantum circuits that experimentally demonstrate the CHSH inequality.
## Link:
The challenge can be found on the github of Lakshmi Yendapalli: https://github.com/lakshmi-yendapalli/CHSH_game_tutorial/tree/main
================================================
FILE: functions-labs/README.md
================================================
## Exclusive Access to Qiskit Functions
As part of Qiskit Global Summer School (QGSS), participants with a Premium or Flex Plan have limited-time trial access to Qiskit Functions. Access is exclusive and subject to your organization’s administrator approval. Complete [this form](https://airtable.com/appj8IrSNZGz4l4BB/pag8WgWdUr5uSJGZA/form) to request access.
If you encounter the error `QiskitServerlessException: Credentials couldn't be verified`, it means your access to Qiskit Functions is not yet active. Please check back later after your request has been processed.
**Note: Running this lab will consume QPU time from your organization’s account. Estimated QPU usage is provided before each cell that executes on a QPU. Please monitor your usage and consult your organization admin if you’re unsure about your allocated QPU time for QGSS Functions labs.**
================================================
FILE: functions-labs/algorithmiq/TEM_lab_validation.py
================================================
from __future__ import annotations
import os
from functools import cached_property
from typing import TYPE_CHECKING, Self
import numpy as np
from numpy.random import default_rng
from pydantic import (
BaseModel,
ConfigDict,
computed_field,
field_validator,
model_validator,
)
import base64
import io
import zlib
import hashlib
from qiskit.quantum_info import Statevector
from qiskit.primitives.containers.estimator_pub import EstimatorPub
from qiskit_ibm_runtime.options import NoiseLearnerOptions, TwirlingOptions
UNSUPPORTED_GATES = [
"reset",
"if_else",
"for_loop",
"switch_case",
"measure",
]
class TEMOptions(BaseModel):
tem_max_bond_dimension: int = (500,)
compute_shadows_bias_from_observable: bool = False
shadows_bias: np.ndarray = np.array([1 / 3, 1 / 3, 1 / 3])
max_execution_time: int | None = None
num_randomizations: int = 32
max_layers_to_learn: int = 4
default_precision: float = 0.02
shots_per_randomization: int = 128
layer_pair_depths: list[int] = [0, 1, 2, 4, 16, 32]
model_config = ConfigDict(extra="forbid", arbitrary_types_allowed=True)
@field_validator("tem_max_bond_dimension")
@classmethod
def bd_must_be_less_than_equal_max_bond_dimension(cls, v: int) -> int:
if v > 1000:
raise ValueError(
f"Unsupported option: Max bond dimension too large. tem_max_bond_dimension must be <= {1000:d}."
)
return v
@field_validator("max_execution_time")
@classmethod
def max_execution_time_must_be_greater_than_60_seconds(
cls, v: int | None
) -> int | None:
if v is not None and v < 60:
raise ValueError(
f"Unsupported option: max_execution_time must be greater or equal than {60:d} seconds."
)
return v
@field_validator("shadows_bias")
@classmethod
def validate_shadows_bias(cls, v: list | tuple | np.ndarray) -> np.ndarray:
v = np.array(v)
shape = v.shape
if len(shape) > 2 and (shape[-1] != 3):
raise ValueError(
"Unsupported option: Mitigation_bias must be a 1d array of size 3 or a 2d one of shape (num_qubits, 3)."
)
if not np.allclose(v.sum(axis=-1), 1, atol=1e-5):
raise ValueError(
"Unsupported option: Not a valid probability distribution: the sum of the bias values must be 1."
)
if np.any(v < 0.1):
raise ValueError(
"Unsupported option: All the bias values must be >= 0.1. for QPU real implementations."
)
return v
@model_validator(mode="after")
def validate_shadows_bias_from_observable(self) -> Self:
if self.compute_shadows_bias_from_observable and not np.allclose(
self.shadows_bias, np.array([1 / 3, 1 / 3, 1 / 3]), atol=1e-8
):
raise ValueError(
"Unsupported option: When compute_shadows_bias_from_observable is True, "
"you cannot also pass a custom-bias"
)
return self
@computed_field(return_type=NoiseLearnerOptions)
@property
def noise_learner_options(self) -> NoiseLearnerOptions:
return NoiseLearnerOptions(
num_randomizations=self.num_randomizations,
max_layers_to_learn=self.max_layers_to_learn,
shots_per_randomization=self.shots_per_randomization,
layer_pair_depths=self.layer_pair_depths,
twirling_strategy="active-accum",
environment={"job_tags": [32, "noise_learning"]},
)
@computed_field(return_type=TwirlingOptions)
@property
def twirling_options(self) -> TwirlingOptions:
return TwirlingOptions(
enable_gates=True,
enable_measure=False,
num_randomizations=1,
shots_per_randomization="auto",
strategy="active-accum",
)
class TEMInputs:
def __init__(
self,
arguments: dict,
) -> None:
pubs: list[EstimatorPub] = arguments["pubs"]
self.ibm_instance: str | None = arguments.get("instance")
self.options: TEMOptions = TEMOptions(**arguments.get("options", {}))
if not isinstance(pubs, list):
pubs = [pubs]
self.pubs = [EstimatorPub.coerce(pub) for pub in pubs]
self.rng = default_rng(32)
for pub in self.pubs:
self.validate(pub)
def validate(self, pub: EstimatorPub) -> None:
if pub.parameter_values.num_parameters > 0:
raise ValueError(
"Unsupported circuit: parametrized circuits are not supported."
)
gate_types = pub.circuit.count_ops()
for gate in UNSUPPORTED_GATES:
if gate in gate_types:
raise ValueError(f"Unsupported circuit: gate {gate} is not supported.")
def validation(
arguments: dict,
) -> None:
try:
_t = TEMInputs(arguments)
print("TEM input checks out")
except Exception as e:
print("TEM input validation failed:", e)
raise e
def check_circuit(circuit):
with io.BytesIO() as buff:
np.save(buff, np.round(Statevector(circuit).probabilities(),7), allow_pickle=False)
buff.seek(0)
serialized_data = buff.read()
serialized_data = zlib.compress(serialized_data)
series = base64.standard_b64encode(serialized_data).decode("utf-8")
hashed_circ = hashlib.sha256(series.encode("utf-8")).hexdigest()
try:
assert hashed_circ == "67b19a21308681a6d3d76e91eb4086773e0d861150f14a186ea30bd12c3aacff"
print("Circuit verification successful! The quantum state matches the expected reference.")
except AssertionError:
print(f"Circuit verification failed! Got hash: {hashed_circ}")
raise
================================================
FILE: functions-labs/algorithmiq/algorithmiq_tensor-network_error_mitigation (TEM).ipynb
================================================
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Running error mitigated many-body physics experiments with TEM function"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This collection of exercised is based on the following reference - [ArXiv: Kicked Ising](https://arxiv.org/abs/2411.00765). This reference discusses a real simulation quantum hardware of up to 91 qubits. In this lab, you are going to recreate a similar simulation on a smaller circuit size.\n",
"\n",
"The kicked Ising model corresponds to the usual Ising model: $$ \\hat{H}_{\\text{I}} = J \\sum_{n=0}^{N-2} \\hat{Z}_n \\hat{Z}_{n+1} + h \\sum_{n=0}^{N-1} \\hat{Z}_n $$\n",
" to which is applied a transverse kick: $$ \\hat{H}_{K} = b \\sum_{n=0}^{N-1} \\hat{X}_n $$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Table of Contents\n",
"\n",
"* [Part 1: Run on local simulation](#part-1-run-on-local-simulation)\n",
"* [Part 2: Run on real devices](#part-2-run-on-real-devices)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Setup\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Install dependencies\n",
"%pip install \"qc-grader[qiskit,jupyter] @ git+https://github.com/qiskit-community/Quantum-Challenge-Grader.git\"\n",
"%pip install \"qiskit[visualization]\" qiskit-aer qiskit-ibm-catalog"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"import qc_grader\n",
"\n",
"print(f\"Grader version: {qc_grader.__version__}\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You should have Grader `>=0.22.11`. If you see a lower version, you need to restart your kernel and reinstall the grader."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Imports\n",
"from matplotlib import pyplot as plt\n",
"import numpy as np\n",
"\n",
"from qiskit import QuantumCircuit\n",
"from qiskit.quantum_info import SparsePauliOp\n",
"from qiskit.primitives import StatevectorEstimator\n",
"from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager\n",
"\n",
"from qiskit_aer import AerSimulator\n",
"from qiskit_ibm_catalog import QiskitFunctionsCatalog\n",
"from qiskit_ibm_runtime import EstimatorV2, QiskitRuntimeService\n",
"\n",
"from TEM_lab_validation import check_circuit, validation # These are the grading functions to test inputs\n",
"from qc_grader.challenges.qgss_2025 import grade_algorithmiq_function"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<div class=\"alert alert-block alert-warning\">\n",
"\n",
"**Exclusive Access to Qiskit Functions**\n",
"\n",
"As part of Qiskit Global Summer School (QGSS), participants with a Premium or Flex Plan have limited-time trial access to Qiskit Functions. Access is exclusive and subject to your organization’s administrator approval. Complete [this form](https://airtable.com/appj8IrSNZGz4l4BB/pag8WgWdUr5uSJGZA/form) to request access.\n",
"\n",
"If you encounter the error `QiskitServerlessException: Credentials couldn't be verified`. in the cell below, it means your access to Qiskit Functions is not yet active. Please check back later after your request has been processed.\n",
"\n",
"**Note: Running this lab will consume QPU time from your organization’s account. Estimated QPU usage is provided before each cell that executes on a QPU. Please monitor your usage and consult your organization admin if you’re unsure about your allocated QPU time for QGSS Functions labs.**\n",
"\n",
"</div>"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Load the Qiskit Functions Catalog\n",
"your_api_key = \"deleteThisAndPasteYourAPIKeyHere\"\n",
"your_crn = \"deleteThisAndPasteYourCRNHere\"\n",
"\n",
"catalog = QiskitFunctionsCatalog(\n",
" channel=\"ibm_quantum_platform\",\n",
" token=your_api_key,\n",
" instance=your_crn,\n",
")\n",
"# You should see a list of Qiskit Functions available to you\n",
"# If you encounter the error `QiskitServerlessException: Credentials couldn't be verified`,\n",
"# it means your access is not yet active\n",
"catalog.list()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<div class=\"alert alert-block alert-success\">\n",
" \n",
"<b> Load Qiskit Function</b>\n",
"\n",
"Find the correct function name from the list above, or refer to the [Qiskit Functions Catalog](https://quantum.cloud.ibm.com/functions) to locate the appropriate function name string. The name should follow the format: `\"[provider]/[title]\"`.\n",
"\n",
"</div>"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# Load Algorithmiq TEM function\n",
"\n",
"function_name = \"\" # TODO\n",
"tem = catalog.load(function_name)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"grade_algorithmiq_function(tem)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Part 1: Run on local simulation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The goal of the notebook is to simulate the dynamic of a state under the transverse kicked Ising Hamiltonian, whose time evolution can be implemented by a Floquet unitary $\\hat{U}_{\\text{KI}} = e^{-i \\hat{H}_K} e^{-i \\hat{H}_I} $. \n",
"\n",
"The build of this unitary is implemented in the next cell. The circuit starts with a state preparation phase, in which the first qubit of the line is in the state $|+\\rangle$, while the other states are in the Bell state $(|00\\rangle + |11\\rangle)/\\sqrt{2}$. This is followed by a brickwork structure of 2-qubit blocks which are decomposed in a few single qubit gates (depending on $h$ and $b$ and a repeated $ZZ$ interaction with coupling $J$)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a id=\"task1\"></a>\n",
"<div class=\"alert alert-block alert-success\">\n",
" \n",
"<b> Task 1:</b> \n",
"Write a function that returns the desired circuit for a given number of qubits `n_qubits` and a given number of timesteps `t_steps` (with parameters `h`, `b` and `J`).\n",
"\n",
"</div>"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"def kicked_ising_circuit(n_qubits, t_steps, J, b, h):\n",
" ki_circuit = QuantumCircuit(n_qubits)\n",
"\n",
" # State preparation\n",
" # Hadamard gates on first qubit\n",
" ki_circuit.h(0)\n",
"\n",
" # Further Hadamard gates on odd qubits and\n",
" # Cnot gates between odd(control) and even(target) qubits, leaving out the 0th\n",
" for i in range(1, n_qubits - 1, 2):\n",
" ki_circuit.h(i)\n",
" ki_circuit.cx(i, i + 1)\n",
"\n",
" ki_circuit.barrier()\n",
" ### Write your code below here ###\n",
"\n",
" # Time steps (t)\n",
" # Apply the kicked Ising model gates\n",
" # if t%2=0:\n",
" # Rz(h) on odd qubits\n",
" # Rzz(2J) between even(i) and odd(i+1) qubits\n",
" # Rx(2b) on all qubits\n",
" # Rzz(2J) between even(i) and odd(i+1) qubits\n",
" # Rz(h) on odd qubits\n",
" # barrier on all qubits\n",
" # if t%2=1:\n",
" # Rz(h) on even qubits (skipping the 0th)\n",
" # Rzz(2J) between odd(i) and even(i+1) qubits\n",
" # Rx(2b) on all qubits (skipping the 0th)\n",
" # Rzz(2J) between odd(i) and even(i+1) qubits\n",
" # Rz(h) on even qubits (skipping the 0th)\n",
" # barrier on all qubits\n",
" # Note: The first qubit (0th) is not involved when t is odd.\n",
"\n",
" \n",
" return ki_circuit"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's visualize the expected output:\n",
"`kicked_ising_circuit(11, 5, J=np.pi / 4, b=np.pi / 4, h=0.0).draw(\"mpl\")`\n",
"\n",
"<img src=\"data:image/png;base64,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
gitextract_kuvafn0a/
├── .gitignore
├── LICENSE
├── README.md
├── community-labs/
│ └── README.md
├── functions-labs/
│ ├── README.md
│ ├── algorithmiq/
│ │ ├── TEM_lab_validation.py
│ │ └── algorithmiq_tensor-network_error_mitigation (TEM).ipynb
│ ├── colibri-td/
│ │ ├── colibritd_quick-pde.ipynb
│ │ └── grader.py
│ ├── global-data-quantum/
│ │ ├── gdq_quantum_portfolio_optimizer.ipynb
│ │ └── grader.py
│ ├── kipu/
│ │ ├── data/
│ │ │ └── ibm_washington.txt
│ │ ├── grader_iskay.py
│ │ └── kipu_iskay_quantum_optimizer.ipynb
│ ├── multiverse/
│ │ ├── data/
│ │ │ └── grid_stability/
│ │ │ ├── test.csv
│ │ │ └── train.csv
│ │ ├── grader.py
│ │ └── multiverse_singularity.ipynb
│ ├── q-ctrl/
│ │ ├── grader.py
│ │ └── q-ctrl_performance_management.ipynb
│ ├── qedma/
│ │ ├── grader.py
│ │ └── qedma_qesem.ipynb
│ └── qunova/
│ ├── grader.py
│ └── qunova_hi-vqe.ipynb
├── lab-0/
│ ├── lab0-ko.ipynb
│ ├── lab0.ipynb
│ ├── lab0_br.ipynb
│ ├── lab0_cn.ipynb
│ ├── lab0_hindi.ipynb
│ └── lab0_ja.ipynb
├── lab-1/
│ ├── Supplemental_long_range_entanglement_with_limited_qubit_connectivity.ipynb
│ ├── lab1-ko.ipynb
│ ├── lab1.ipynb
│ ├── lab1_hindi.ipynb
│ └── lab1_ja.ipynb
├── lab-2/
│ ├── Lab2-ko.ipynb
│ ├── Lab2.ipynb
│ ├── Lab2_ja.ipynb
│ └── utils.py
├── lab-3/
│ ├── lab3-ko.ipynb
│ ├── lab3.ipynb
│ ├── lab3_ja.ipynb
│ └── utils/
│ ├── N2_device_bitarray.npy
│ ├── backend_target_v20.pkl
│ └── backend_target_v21.pkl
├── lab-4/
│ ├── lab4-ko.ipynb
│ ├── lab4.ipynb
│ ├── lab4_ja.ipynb
│ ├── lab4_util-ko.py
│ └── lab4_util.py
├── lecture_supplementary/
│ └── FermiHubbard-Example.ipynb
└── solutions/
├── lab-0/
│ └── lab0-solution.ipynb
├── lab-1/
│ └── lab1-solution.ipynb
├── lab-2/
│ └── lab2-solution.ipynb
├── lab-3/
│ └── lab3-solution.ipynb
└── lab-4/
└── lab4-solution.ipynb
SYMBOL INDEX (59 symbols across 11 files)
FILE: functions-labs/algorithmiq/TEM_lab_validation.py
class TEMOptions (line 33) | class TEMOptions(BaseModel):
method bd_must_be_less_than_equal_max_bond_dimension (line 48) | def bd_must_be_less_than_equal_max_bond_dimension(cls, v: int) -> int:
method max_execution_time_must_be_greater_than_60_seconds (line 57) | def max_execution_time_must_be_greater_than_60_seconds(
method validate_shadows_bias (line 68) | def validate_shadows_bias(cls, v: list | tuple | np.ndarray) -> np.nda...
method validate_shadows_bias_from_observable (line 86) | def validate_shadows_bias_from_observable(self) -> Self:
method noise_learner_options (line 98) | def noise_learner_options(self) -> NoiseLearnerOptions:
method twirling_options (line 110) | def twirling_options(self) -> TwirlingOptions:
class TEMInputs (line 120) | class TEMInputs:
method __init__ (line 121) | def __init__(
method validate (line 135) | def validate(self, pub: EstimatorPub) -> None:
function validation (line 145) | def validation(
function check_circuit (line 156) | def check_circuit(circuit):
FILE: functions-labs/colibri-td/grader.py
function grade_ex1 (line 1) | def grade_ex1(use_case, physical_parameters):
function grade_ex2 (line 11) | def grade_ex2(use_case, physical_parameters, nb_qubits, depth, nb_shots,...
function grade_ex3 (line 36) | def grade_ex3(use_case, physical_parameters, nb_qubits, depth, nb_shots,...
FILE: functions-labs/global-data-quantum/grader.py
function grade_ex1a (line 1) | def grade_ex1a(qubo_settings: dict, optimizer_settings: dict, ansatz_set...
function grade_ex1b (line 74) | def grade_ex1b(dpo_result: dict) -> None:
function grade_ex2 (line 104) | def grade_ex2(
FILE: functions-labs/kipu/grader_iskay.py
function print_results (line 7) | def print_results(results: bool):
function grade_lab_iskay_ex1a (line 17) | def grade_lab_iskay_ex1a(G: nx.Graph) -> bool:
function grade_lab_iskay_ex1b (line 43) | def grade_lab_iskay_ex1b(objective_func: dict, graph:nx.Graph) -> bool:
function grade_lab_iskay_ex1c (line 64) | def grade_lab_iskay_ex1c(arguments: dict) -> bool:
function grade_lab_iskay_ex1d (line 132) | def grade_lab_iskay_ex1d(result: dict) -> bool:
function grade_lab_iskay_ex1e (line 158) | def grade_lab_iskay_ex1e(cut: int) -> bool:
function grade_lab_iskay_ex2a (line 168) | def grade_lab_iskay_ex2a(idx: int) -> bool:
function grade_lab_iskay_ex2b (line 178) | def grade_lab_iskay_ex2b(one_local_terms:int, two_local_terms:int, three...
function grade_lab_iskay_ex2c (line 188) | def grade_lab_iskay_ex2c(arguments: dict) -> bool:
FILE: functions-labs/multiverse/grader.py
function grade_exercise_1 (line 1) | def grade_exercise_1(optimizer_options_ex1: dict) -> None:
function grade_exercise_2 (line 18) | def grade_exercise_2(learners_types: list, learners_proportions: list) -...
function grade_exercise_3 (line 67) | def grade_exercise_3(optimizer_options_solution: dict) -> None:
FILE: functions-labs/q-ctrl/grader.py
function grade_ex1 (line 7) | def grade_ex1(circuit_width: int, hidden_bitstring: str, shot_count: int...
function grade_ex2 (line 59) | def grade_ex2(n_qubits: int, observable: SparsePauliOp, options: dict):
FILE: functions-labs/qedma/grader.py
function kicked_ising_1D (line 12) | def kicked_ising_1D(num_qubits: int, theta_x: float, theta_zz: float, s:...
function grade_ex2 (line 47) | def grade_ex2(pubs_ex2:list, backend_name_ex2:str, options_ex2:dict):
function grade_ex3 (line 122) | def grade_ex3(options_ex3:dict):
function grade_ex_4_1 (line 142) | def grade_ex_4_1(circuit: QuantumCircuit):
function grade_ex_4_2 (line 178) | def grade_ex_4_2(precision_ex4, pubs_ex4, backend_name_ex4, options_ex4):
function grade_ex_4_3 (line 269) | def grade_ex_4_3(precision_ex4, pubs_ex4, backend_name_ex4, options_ex4):
FILE: functions-labs/qunova/grader.py
function grade_ex1a (line 7) | def grade_ex1a(ex1a_answer: dict):
function grade_ex1b (line 16) | def grade_ex1b(ex1b_answer: dict):
function grade_ex2a (line 21) | def grade_ex2a(ex2_answer: dict):
function grade_ex2b (line 35) | def grade_ex2b(ex2_answer: dict):
function grade_ex3 (line 42) | def grade_ex3(ex3_answer: float):
FILE: lab-2/utils.py
function linear_model (line 12) | def linear_model(x, a, b):
function quadratic_model (line 16) | def quadratic_model(x, a, b, c):
function exponential_model (line 20) | def exponential_model(x, a, b, c):
function zne_method (line 24) | def zne_method(method="linear", xdata=[], ydata=[]):
function plot_zne (line 44) | def plot_zne(scales, values, zero_val, fit_fn, fit_params, method):
function plot_backend_errors_and_counts (line 61) | def plot_backend_errors_and_counts(backends, errors_and_counts_list):
FILE: lab-4/lab4_util-ko.py
function bring_states (line 13) | def bring_states():
function hamming_distance (line 36) | def hamming_distance(s1: Union[str, List[int], Tuple[int]],
function minimum_distance (line 48) | def minimum_distance(code: List[Union[str, List[int], Tuple[int]]]) -> int:
function matrixRank (line 81) | def matrixRank(mat):
function generate_stabilizer_plots (line 96) | def generate_stabilizer_plots(hx_matrix, hz_matrix):
FILE: lab-4/lab4_util.py
function bring_states (line 17) | def bring_states():
function hamming_distance (line 40) | def hamming_distance(s1: Union[str, List[int], Tuple[int]],
function minimum_distance (line 52) | def minimum_distance(code: List[Union[str, List[int], Tuple[int]]]) -> int:
function matrixRank (line 84) | def matrixRank(mat):
function generate_stabilizer_plots (line 101) | def generate_stabilizer_plots(hx_matrix, hz_matrix):
Copy disabled (too large)
Download .json
Condensed preview — 56 files, each showing path, character count, and a content snippet. Download the .json file for the full structured content (41,722K chars).
[
{
"path": ".gitignore",
"chars": 4319,
"preview": "# Byte-compiled / optimized / DLL files\n__pycache__/\n*.py[cod]\n*$py.class\n\n# C extensions\n*.so\n\n# Distribution / packagi"
},
{
"path": "LICENSE",
"chars": 11357,
"preview": " Apache License\n Version 2.0, January 2004\n "
},
{
"path": "README.md",
"chars": 634,
"preview": "# qgss-2025\nQiskit Global Summer School: The Past, Present and Future of Quantum Computing\n\n# Launch on qBraid\n\nqBraid i"
},
{
"path": "community-labs/README.md",
"chars": 4276,
"preview": "# QGSS-2025-community-labs\n\n\nAs part of the future leaders in quantum hackathon: https://aiforgood.itu.int/the-future-le"
},
{
"path": "functions-labs/README.md",
"chars": 867,
"preview": "## Exclusive Access to Qiskit Functions\n\nAs part of Qiskit Global Summer School (QGSS), participants with a Premium or F"
},
{
"path": "functions-labs/algorithmiq/TEM_lab_validation.py",
"chars": 5866,
"preview": "from __future__ import annotations\n\nimport os\nfrom functools import cached_property\nfrom typing import TYPE_CHECKING, Se"
},
{
"path": "functions-labs/algorithmiq/algorithmiq_tensor-network_error_mitigation (TEM).ipynb",
"chars": 426400,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"metadata\": {},\n \"source\": [\n \"# Running error mitigated many-body"
},
{
"path": "functions-labs/colibri-td/colibritd_quick-pde.ipynb",
"chars": 51539,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"b6d1e3ec\",\n \"metadata\": {},\n \"source\": [\n "
},
{
"path": "functions-labs/colibri-td/grader.py",
"chars": 2007,
"preview": "def grade_ex1(use_case, physical_parameters):\n if use_case != 'cfd':\n return \"Please choose the correct use ca"
},
{
"path": "functions-labs/global-data-quantum/gdq_quantum_portfolio_optimizer.ipynb",
"chars": 32812,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"metadata\": {},\n \"source\": [\n \"# Optimize a portfolio with the Qua"
},
{
"path": "functions-labs/global-data-quantum/grader.py",
"chars": 6550,
"preview": "def grade_ex1a(qubo_settings: dict, optimizer_settings: dict, ansatz_settings: dict, apply_postprocess: bool, assets: di"
},
{
"path": "functions-labs/kipu/data/ibm_washington.txt",
"chars": 4193,
"preview": "([{1: -1, 3: 1, 5: 1, 7: -1, 9: 1, 11: -1, 13: 1, 14: -1, 15: -1, 16: -1, 17: 1, 19: -1, 21: -1, 23: 1, 25: 1, 27: 1, 29"
},
{
"path": "functions-labs/kipu/grader_iskay.py",
"chars": 8139,
"preview": "import networkx as nx\n\n# Constants for the lab assignment\nNUM_NODES = 50\nSEED = 0\n\ndef print_results(results: bool):\n "
},
{
"path": "functions-labs/kipu/kipu_iskay_quantum_optimizer.ipynb",
"chars": 35180,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"aabd40ba\",\n \"metadata\": {},\n \"source\": [\n \"# Lab : Iskay "
},
{
"path": "functions-labs/multiverse/data/grid_stability/test.csv",
"chars": 110782,
"preview": "tau1,tau2,tau3,tau4,p1,p2,p3,p4,g1,g2,g3,g4,labels\n2.329223129,2.863744223,0.963971817,2.502635178,4.198820204,-1.612071"
},
{
"path": "functions-labs/multiverse/data/grid_stability/train.csv",
"chars": 627653,
"preview": "tau1,tau2,tau3,tau4,p1,p2,p3,p4,g1,g2,g3,g4,labels\n7.70982605,9.587324303,4.242983885,3.378707467,4.085371552,-1.0054438"
},
{
"path": "functions-labs/multiverse/grader.py",
"chars": 3616,
"preview": "def grade_exercise_1(optimizer_options_ex1: dict) -> None:\n \"\"\"\n Grades Exercise 1 by checking:\n - 'simulator' "
},
{
"path": "functions-labs/multiverse/multiverse_singularity.ipynb",
"chars": 46482,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"d76b4b60-19a6-486a-af14-db875411b6db\",\n \"metadata\": {},\n \"so"
},
{
"path": "functions-labs/q-ctrl/grader.py",
"chars": 4597,
"preview": "from qiskit import QuantumCircuit\nfrom qiskit.quantum_info import SparsePauliOp\n\ncorrect_message = \"Congratulations! 🎉 Y"
},
{
"path": "functions-labs/q-ctrl/q-ctrl_performance_management.ipynb",
"chars": 29018,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"metadata\": {},\n \"source\": [\n \"# Lab: Experience Q-CTRL's Performa"
},
{
"path": "functions-labs/qedma/grader.py",
"chars": 13838,
"preview": "from qiskit import QuantumCircuit\nfrom qiskit.quantum_info.operators.base_operator import BaseOperator\nfrom qiskit.quant"
},
{
"path": "functions-labs/qedma/qedma_qesem.ipynb",
"chars": 68690,
"preview": "{\n \"cells\": [\n {\n \"attachments\": {},\n \"cell_type\": \"markdown\",\n \"metadata\": {},\n \"source\": [\n \"\\n\",\n \"<di"
},
{
"path": "functions-labs/qunova/grader.py",
"chars": 2220,
"preview": "from qiskit import QuantumCircuit\nfrom qiskit.quantum_info.operators.base_operator import BaseOperator\n\ncorrect_message "
},
{
"path": "functions-labs/qunova/qunova_hi-vqe.ipynb",
"chars": 38969,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"metadata\": {},\n \"source\": [\n \"# Qiskit Function - Practical Appli"
},
{
"path": "lab-0/lab0-ko.ipynb",
"chars": 291854,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"551a947d\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "lab-0/lab0.ipynb",
"chars": 297822,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"551a947d\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "lab-0/lab0_br.ipynb",
"chars": 298795,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"551a947d\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "lab-0/lab0_cn.ipynb",
"chars": 289894,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"551a947d\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "lab-0/lab0_hindi.ipynb",
"chars": 299474,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"551a947d\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "lab-0/lab0_ja.ipynb",
"chars": 290667,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"551a947d\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "lab-1/Supplemental_long_range_entanglement_with_limited_qubit_connectivity.ipynb",
"chars": 64288,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"ba4719fa\",\n \"metadata\": {\n \"heading_collapsed\": true,\n \""
},
{
"path": "lab-1/lab1-ko.ipynb",
"chars": 395847,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"4b5d9b98-ac5b-4121-915a-893bd64960f3\",\n \"metadata\": {},\n \"so"
},
{
"path": "lab-1/lab1.ipynb",
"chars": 411071,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"4b5d9b98-ac5b-4121-915a-893bd64960f3\",\n \"metadata\": {},\n \"so"
},
{
"path": "lab-1/lab1_hindi.ipynb",
"chars": 413515,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"4b5d9b98-ac5b-4121-915a-893bd64960f3\",\n \"metadata\": {},\n \"so"
},
{
"path": "lab-1/lab1_ja.ipynb",
"chars": 393737,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"4b5d9b98-ac5b-4121-915a-893bd64960f3\",\n \"metadata\": {},\n \"so"
},
{
"path": "lab-2/Lab2-ko.ipynb",
"chars": 696541,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"data:image/png;base64,iV"
},
{
"path": "lab-2/Lab2.ipynb",
"chars": 719741,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"data:image/png;base64,iV"
},
{
"path": "lab-2/Lab2_ja.ipynb",
"chars": 692916,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"data:image/png;base64,iV"
},
{
"path": "lab-2/utils.py",
"chars": 3723,
"preview": "from qiskit.quantum_info import SparsePauliOp\nimport numpy as np\nfrom qiskit import transpile\nfrom qiskit import Quantum"
},
{
"path": "lab-3/lab3-ko.ipynb",
"chars": 2506473,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"8cdbc826-5411-42cd-bf85-8f3ef3e40feb\",\n \"metadata\": {\n \"jp-"
},
{
"path": "lab-3/lab3.ipynb",
"chars": 2521758,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"8cdbc826-5411-42cd-bf85-8f3ef3e40feb\",\n \"metadata\": {\n \"jp-"
},
{
"path": "lab-3/lab3_ja.ipynb",
"chars": 2499652,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"8cdbc826-5411-42cd-bf85-8f3ef3e40feb\",\n \"metadata\": {},\n \"so"
},
{
"path": "lab-4/lab4-ko.ipynb",
"chars": 4299328,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"9c80575e\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "lab-4/lab4.ipynb",
"chars": 4323377,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"9c80575e\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "lab-4/lab4_ja.ipynb",
"chars": 4292188,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"9c80575e\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "lab-4/lab4_util-ko.py",
"chars": 6553,
"preview": "import math\n\nimport numpy as np\nimport itertools\nfrom qiskit.quantum_info import Pauli, PauliList\nfrom typing import Lis"
},
{
"path": "lab-4/lab4_util.py",
"chars": 6834,
"preview": "import math\n\nimport numpy as np\nimport itertools\nfrom qiskit.quantum_info import Pauli, PauliList\nfrom typing import Lis"
},
{
"path": "lecture_supplementary/FermiHubbard-Example.ipynb",
"chars": 652688,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"419cc750-f1d6-47a7-8d1a-8e5bb67a3311\",\n \"metadata\": {},\n \"so"
},
{
"path": "solutions/lab-0/lab0-solution.ipynb",
"chars": 298377,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"551a947d\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
},
{
"path": "solutions/lab-1/lab1-solution.ipynb",
"chars": 271884,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"4b5d9b98-ac5b-4121-915a-893bd64960f3\",\n \"metadata\": {},\n \"so"
},
{
"path": "solutions/lab-2/lab2-solution.ipynb",
"chars": 1879702,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"data:image/png;base64,iV"
},
{
"path": "solutions/lab-3/lab3-solution.ipynb",
"chars": 6165253,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"8cdbc826-5411-42cd-bf85-8f3ef3e40feb\",\n \"metadata\": {\n \"jp-"
},
{
"path": "solutions/lab-4/lab4-solution.ipynb",
"chars": 4322455,
"preview": "{\n \"cells\": [\n {\n \"cell_type\": \"markdown\",\n \"id\": \"9c80575e\",\n \"metadata\": {},\n \"source\": [\n \"<img src=\\\"dat"
}
]
// ... and 3 more files (download for full content)
About this extraction
This page contains the full source code of the qiskit-community/qgss-2025 GitHub repository, extracted and formatted as plain text for AI agents and large language models (LLMs). The extraction includes 56 files (39.2 MB), approximately 10.3M tokens, and a symbol index with 59 extracted functions, classes, methods, constants, and types. Use this with OpenClaw, Claude, ChatGPT, Cursor, Windsurf, or any other AI tool that accepts text input. You can copy the full output to your clipboard or download it as a .txt file.
Extracted by GitExtract — free GitHub repo to text converter for AI. Built by Nikandr Surkov.