Optimal Asymmetric Quantum Codes from the Euclidean Sums of Linear Codes

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2024-02-01 DOI:10.1051/wujns/2024291045

Peng Xu, Xiusheng Liu

引用次数: 0

Abstract

In this paper, we first give the definition of the Euclidean sums of linear codes, and prove that the Euclidean sums of linear codes are Euclidean dual-containing. Then we construct two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of the Reed-Solomon codes, and two new classes of optimal asymmetric quantum error-correcting codes based on Euclidean sums of linear codes generated by Vandermonde matrices over finite fields. Moreover, these optimal asymmetric quantum error-correcting codes constructed in this paper are different from the ones in the literature.

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从线性编码的欧氏和看最佳非对称量子编码

本文首先给出了线性编码的欧氏和的定义，并证明了线性编码的欧氏和是欧氏对偶包含的。然后，我们基于里德-所罗门码的欧氏和构造了两类新的最优非对称量子纠错码，并基于有限域上范德蒙德矩阵生成的线性码的欧氏和构造了两类新的最优非对称量子纠错码。此外，本文构建的这些最优非对称量子纠错码与文献中的编码不同。

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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来源期刊

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.