PURE ASYMMETRIC QUANTUM MDS CODES FROM CSS CONSTRUCTION: A COMPLETE CHARACTERIZATION

被引：26

作者：

Ezerman, Martianus Frederic ^{[1
]}

Jitman, Somphong ^{[2
]}

Kiah, Han Mao ^{[2
]}

Ling, San ^{[2
]}

机构：

[1] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore

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

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2013年 / 11卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Asymmetric quantum codes; MDS codes; Singleton bound; generalized Reed-Solomon codes; weight distribution;

D O I：

10.1142/S0219749913500275

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Using the Calderbank-Shor-Steane (CSS) construction, pure q-ary asymmetric quantum error-correcting codes attaining the quantum Singleton bound are constructed. Such codes are called pure CSS asymmetric quantum maximum distance separable (AQMDS) codes. Assuming the validity of the classical maximum distance separable (MDS) Conjecture, pure CSS AQMDS codes of all possible parameters are accounted for.

引用

页数：10

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