Extended quasi-cyclic constructions of quantum codes and entanglement-assisted quantum codes

被引：2
|
作者：
Lv, Jingjie [1 ,2 ]
Li, Ruihu [2 ]
Yao, Yu [2 ]
机构：
[1] Tsinghua Univ, Grad Sch Shenzhen, Shenzhen 518055, Peoples R China
[2] Air Force Engn Univ, Dept Basic Sci, Xian 710051, Peoples R China
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2021年 / 40卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Quasi-cyclic codes; Extended constructions; Quantum codes; Entanglement-assisted quantum codes; STABILIZER CODES;
D O I：
10.1007/s40314-021-01644-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Constructions of quantum codes and entanglement-assisted quantum codes with good parameters via classical codes is an important task for quantum computing and quantum information. In this paper, by a family of one-generator quasi-cyclic codes, we provide quasi-cyclic extended constructions that preserve the self-orthogonality to obtain stabilizer quantum codes. As for the computational results, some binary and ternary stabilizer codes with good parameters are constructed. Moreover, we present methods to construct maximal-entanglement entanglement-assisted quantum codes by means of the class of quasi-cyclic codes and their extended codes. As an application, some good maximal-entanglement entanglement-assisted quantum codes are obtained and their parameters are compared.
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页数：20
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