伽罗瓦液晶码分解线性码及其在EAQEC码中的应用

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

Quantum Information Processing Pub Date : 2025-09-22 DOI:10.1007/s11128-025-04920-5

Hui Li, Xiusheng Liu

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引用次数: 0

摘要

纠缠辅助量子纠错码是利用纠缠作为资源的量子纠错码的一个子类。这些码比传统稳定器形式的码具有更高的纠错能力。本文首先给出了有限域上线性码的s-伽罗瓦液晶码分解。通过对循环码和矩阵积码的分解，给出了构造EAQEC码的两种方法，并找到了新的EAQEC码。此外，我们的EAQEC规范改进了参数（例如，更高的最小距离或更大的尺寸）。

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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Galois LCD codes decomposition of linear codes and their applications to EAQEC codes

Entanglement-assisted quantum error-correcting (EAQEC) codes are a subclass of quantum error-correcting codes which use entanglement as a resource. These codes can provide error correction capability higher than the codes derived from the traditional stabilizer formalism. In this paper, we first give a s-Galois LCD codes decomposition of linear codes over finite fields. By means of this decomposition of cyclic codes and matrix-product codes, we provide two methods to construct EAQEC codes, and we find new EAQEC codes. In addition, our EAQEC codes have improved parameters (e.g., higher minimum distance or greater dimension).

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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.