Entanglement-Assisted Quantum Negacyclic BCH Codes

被引：6
|
作者：
Chen, Xiaojing [1 ]
Zhu, Shixin [1 ]
Kai, Xiaoshan [1 ]
机构：
[1] Hefei Univ Technol, Sch Math, Hefei 230601, Anhui, Peoples R China
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2019年 / 58卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Negacyclic codes; BCH codes; EAQECCs;
D O I：
10.1007/s10773-019-04037-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The entanglement-assisted quantum error correcting codes (EAQECCs) are a simple and important class of quantum codes. The entanglement-assisted formalism can transform arbitrary classical linear codes into EAQECCs by using pre-shared entanglement between the sender and the receiver. In this paper, by decomposing the defining set of negacyclic BCH codes, we construct a class of new EAQECCs with length n=q(4m-1)/q(2-1).
引用
收藏
页码：1509 / 1523
页数：15
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