EAQEC codes from the LCD codes decomposition of linear codes

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

Quantum Information Processing Pub Date : 2025-01-24 DOI:10.1007/s11128-024-04630-4

Hui Li, Xiusheng Liu

引用次数: 0

Abstract

In this paper, we provide two new methods of constructing entanglement-assisted quantum error-correcting (EAQEC) codes by using the LCD codes decomposition of linear codes. We first construct a class of maximal entanglement EAQEC maximum distance separable codes via the LCD codes decomposition of generalized Reed–Solomon (GRS) codes over finite fields \(\mathbb {F}_{2^m}\). We then construct two classes of maximal entanglement EAQEC codes based on the LCD codes decomposition of matrix-product codes related to cyclic codes over finite fields \(\mathbb {F}_{q}\). In addition, we construct EAQEC codes with better parameters than the ones available in the literature.

查看原文本刊更多论文

求助全文

约1分钟内获得全文求助全文

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.