Constructions and decoding procedures for quantum CSS codes

• URL: http://arxiv.org/abs/2502.03242v1
• Date: Wed, 05 Feb 2025 15:00:46 GMT
• Title: Constructions and decoding procedures for quantum CSS codes
• Authors: Yannick Saouter, Massinissa Zenia, Gilles Burel,
• Abstract summary: This article presents new constructions of quantum error correcting Calderbank-Shor-Steane (CSS) codes. The codes are mainly obtained by Sloane's classical combinations of linear codes applied here to the case of self-orthogonal linear codes.
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• 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.

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