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Quasi-cyclic Hermitian construction of binary quantum codes

2022/10/10 by Liangdong Lü, Lu, Liangdong, Zhang, Gaochi +2
Computer Science · #Coding theory and cryptography #FOS: Computer and information sciences #Information Theory (cs.IT) #Quantum Computing Algorithms and Architecture #Quantum-Dot Cellular Automata

paper · pdf · doi:10.48550/arxiv.2210.04487

openalex publication_date 2022/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we propose a sufficient condition for a family of 2-generator self-orthogonal quasi-cyclic codes with respect to Hermitian inner product. Supported in the Hermitian construction, we show algebraic constructions of good quantum codes. 30 new binary quantum codes with good parameters improving the best-known lower bounds on minimum distance in Grassl's code tables \citeGrassl:codetables are constructed.

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