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

Quantum Information Processing Pub Date : 2025-02-24 DOI:10.1007/s11128-025-04687-9

Peng Hu, Xiusheng Liu

引用次数: 0

摘要

本文首先研究了有限非链环\(R_{u,v,q}={/mathbb {F}}_q+u{mathbb {F}}_q+ v{mathbb {F}}_q+uv{mathbb {F}}_q\) 上编码的线性互补对（简称为 LCP），其中 \(u^2=u,v^2=v\).然后，我们提供了一种使用 CSS 从长度为 n 的 \(R_{u,v,q}\) 码的 LCP 中构造纠缠辅助量子纠错码（简称 EAQEC）的方法。为了丰富现有 EAQEC 码的种类，本文给出了一些新的 EAQEC 码，它们的参数与之前的所有构造都不同。

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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New EAQEC codes from LCP of codes over finite non-chain rings

In this paper, we first study the linear complementary pair (abbreviated to LCP) of codes over finite non-chain rings \(R_{u,v,q}={\mathbb {F}}_q+u{\mathbb {F}}_q+ v{\mathbb {F}}_q+uv{\mathbb {F}}_q\) with \(u^2=u,v^2=v\). Then we provide a method of constructing entanglement-assisted quantum error-correcting (abbreviated to EAQEC) codes from an LCP of codes of length n over \(R_{u,v,q}\) using CSS. To enrich the variety of available EAQEC codes, some new EAQEC codes are given in the sense that their parameters are different from all the previous constructions.

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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.