Construction of New Quantum Stabilizer Codes From Quasi-cyclic Codes Of Index Two

IF 1.7 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2025-09-22 DOI:10.1007/s10773-025-06144-w

Zhuo Li, Zhenhui Zhang, Lijuan Xing

引用次数: 0

Abstract

We study the algebraic structures of a class of quasi-cyclic codes of index two, and determine their generators and Hermitian dual codes. In addition, we propose conditions for their Hermitian self-orthogonality to construct quantum stabilizer codes via quantum Hermitian construction. As an application, we obtain a class of binary quantum stabilizer codes with good parameters, including 10 record-breaking binary quantum stabilizer codes.

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从指标2的拟循环码构造新的量子稳定码

研究了一类指标为2的拟循环码的代数结构，确定了它们的产生器和厄米对偶码。此外，我们提出了它们的厄米自正交性的条件，通过量子厄米构造构造量子稳定码。作为应用，我们得到了一类具有良好参数的二进制量子稳定码，包括10个破纪录的二进制量子稳定码。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.