Additive Asymmetric Quantum Codes

被引：42

作者：

Ezerman, Martianus Frederic ^{[1
]}

Ling, San ^{[1
]}

Sole, Patrick ^{[2
]}

机构：

[1] Nanyang Technol Univ, Sch Phys & Math Sci, Div Math Sci, Singapore 637371, Singapore

[2] Telecom ParisTech, CNRS, LTCI, Dept Comelec, F-75634 Paris, France

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2011年 / 57卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

4-circulant codes; additive codes; BCH codes; circulant codes; extremal codes; MacDonald codes; nested codes; quantum codes; quantum Singleton bound; self-orthogonal codes; SELF-DUAL CODES; BOUNDS; CLASSIFICATION; GEOMETRY;

D O I：

10.1109/TIT.2011.2159040

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a general construction of asymmetric quantum codes based on additive codes under the trace Hermitian inner product. Various families of additive codes over F-4 are used in the construction of many asymmetric quantum codes over F-4.

引用

页码：5536 / 5550

页数：15

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