矩阵乘积码的欧几里得壳及其在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 : 2025-08-20 DOI:10.1007/s11128-025-04899-z

Jie Liu, Peng Hu, Xiusheng Liu

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引用次数: 0

摘要

在本文中，我们展示了一种有效的方法来构造纠缠辅助量子纠错（EAQEC）码，通过矩阵乘积码的欧几里得壳，以\(t_1\) -划分欧几里得正交性质作为有限域上的定义矩阵。通过这种方法，我们获得了许多新的EAQEC代码，这些代码都比现有的EAQEC代码具有更高的识别率。此外，我们的EAQEC码的维数、最小距离和预共享最大纠缠态数c易于计算且非常灵活。

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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The Euclidean hulls of matrix product codes and their applications to EAQEC codes

In this paper, we exhibit an effective method for constructing entanglement-assisted quantum error-correcting (EAQEC) codes via Euclidean hulls of matrix product codes with \(t_1\)-partitioned Euclidean orthogonal property as the defining matrices over the finite fields. By this method, we obtain numerous new EAQEC codes, all of them have higher rate than current EAQEC codes available. Moreover, the dimensions, minimum distances and the number c of pre-shared maximally entangled states of our EAQEC codes are easily calculated and very flexible.

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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.