Applications of order six cyclotomy to construct CSS quantum codes and quantum synchronizable codes

IF 2.2 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Quantum Information Processing Pub Date : 2025-08-19 DOI:10.1007/s11128-025-04883-7

Pramod Kumar Kewat, Varsha Tiwari

引用次数: 0

Abstract

In this article, we introduce the sixth-order cyclotomy over \(\mathbb {Z}_{2m},m\) is a prime and develop dual-containing cyclic codes, along with their augmented codes, resulting in optimal cyclic codes. By utilizing these cyclic codes, we design quantum synchronizable codes (QSCs) and Calderbank–Shor–Steane (CSS) quantum codes. Additionally, we derive some new CSS quantum codes and also demonstrate that the obtained QSCs exhibit maximum tolerance to alignment errors.

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六阶环切开术在构造CSS量子码和量子同步码中的应用

在本文中，我们引入了\(\mathbb {Z}_{2m},m\)是素数上的六阶环切开术，并发展了双含循环码，以及它们的增广码，从而得到了最优循环码。利用这些循环码，我们设计了量子同步码（QSCs）和calderbank - shors - steane （CSS）量子码。此外，我们还推导了一些新的CSS量子码，并证明了所获得的量子码对校准误差具有最大的容忍度。

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

Quantum Information Processing 物理-物理：数学物理

CiteScore

4.10

自引率

20.00%

发文量

337

审稿时长

4.5 months

期刊介绍： Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.