qLDPC
This package contains tools for constructing and analyzing quantum low density partity check (qLDPC) codes.
📦 Installation
This package requires Python>=3.10, and can be installed from PyPI with
pip install qldpc
To install a local version from source:
git clone git@github.com:Infleqtion/qLDPC.git
pip install -e qLDPC
You can also pip install -e 'qLDPC[dev]' to additionally install some development tools.
🚀 Features
Notable features include:
abstract.py: module for basic abstract algebra (groups, algebras, and representations thereof).ClassicalCode: class for representing classical linear error-correcting codes over finite fields.QuditCode: general class for constructing Galois-qudit codes.CSSCode: general class for constructing quantum CSS codes out of two mutually compatibleClassicalCodes.CSSCode.get_logical_ops: method to construct a complete basis of nontrivial logical operators for aCSSCode.CSSCode.get_distance: method to compute the code distance (i.e., the minimum weight of a nontrivial logical operator) of aCSSCode. Includes options for computing a lower bound (determined by the distances of the underlyingClassicalCodes), an upper bound (with the method of arXiv:2308.07915), and the exact code distance (with an integer linear program).- Includes options for applying local Hadamard transforms, which is useful for tailoring a
CSSCodeto biased noise (see arXiv:2202.01702). Options to apply more general Clifford code deformations are pending.
GBCode: class for constructing generalized bicycle codes, as described in arXiv:1904.02703.QCCode: class for constructing the quasi-cyclic codes in arXiv:2308.07915.HGPCode: class for constructing hypergraph product codes out of twoClassicalCodes.LPCode: class for constructing lifted product codes out of two protographs (i.e., matrices whose entries are elements of a group algebra). See arXiv:2012.04068 and arXiv:2202.01702.QTCode: class for constructing quantum Tanner codes out of (a) two symmetric subsetsAandBof a groupG, and (b) twoClassicalCodes with block lengths|A|and|B|. See arXiv:2202.13641 and arXiv:2206.07571.
🤔 Questions and issues
If this project gains interest and traction, I'll add a documentation webpage and material to help users get started quickly. I am also planning to write a paper that presents and explains this project. In the meantime, you can explore the documentation and explanations in the source code. qldpc/codes_test.py contains some examples of using the classes and methods described above.
If you have any questions, feedback, or requests, please open an issue on GitHub or email me at michael.perlin@infleqtion.com!
⚓ Attribution
If you use this software in your work, please cite with:
@misc{perlin2023qldpc,
author = {Perlin, Michael A.},
title = {{qLDPC}},
year = {2023},
publisher = {GitHub},
journal = {GitHub repository},
howpublished = {\url{https://github.com/Infleqtion/qLDPC}},
}
This may require adding \usepackage{url} to your LaTeX file header. Alternatively, you can cite
Michael A. Perlin. qLDPC. https://github.com/Infleqtion/qLDPC, 2023.
1 maintainer
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