Algebraic decoding for classes of quantum codes - Equipe Security, Intelligence and Integrity of Information
Communication Dans Un Congrès Année : 2024

Algebraic decoding for classes of quantum codes

Décodage algébriques pour des classes de codes quantiques

Résumé

This paper describes a technique to perform the decoding of quantum Calderbank-Steane-Shor codes built from self-orthogonal classical binary codes possessing algebraic decoding procedures. This technique gives a viable alternative to syndrome decoding for codes with large minimum distance. The cases of Reed-Muller and BCH codes are examined. The new method is compared with syndrome decoding on illustrative examples. The asymptotic cost of both methods is also given.
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Dates et versions

hal-04675513 , version 1 (22-08-2024)

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Yannick Saouter, Gilles Burel. Algebraic decoding for classes of quantum codes. 4th IEEE International Mediterranean Conference on Communications and Networking (MeditCom 2024), Jul 2024, Madrid, Spain. pp.477-482, ⟨10.1109/MeditCom61057.2024.10621269⟩. ⟨hal-04675513⟩
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