Constructions and decoding procedures for quantum CSS codes
Quantum Physics
2025-10-03 v2
Abstract
This article presents new constructions of quantum error correcting Calderbank-Shor-Steane (CSS for short) codes. These codes are mainly obtained by Sloane's classical combinations of linear codes applied here to the case of self-orthogonal linear codes. A new algebraic decoding technique is also introduced. This technique is exemplified on CSS codes obtained from BCH, Reed-Muller and projective geometry codes.
Keywords
Cite
@article{arxiv.2502.03242,
title = {Constructions and decoding procedures for quantum CSS codes},
author = {Yannick Saouter and Massinissa Zenia and Gilles Burel},
journal= {arXiv preprint arXiv:2502.03242},
year = {2025}
}
Comments
15 pages, 3 figures