Classification of q-Ary Perfect Quantum Codes

被引：4

作者：

Li, Zhuo ^{[1
]}

Xing, Lijuan ^{[1
]}

机构：

[1] Xidian Univ, State Key Lab Integrated Serv Networks, Xian 710071, Shannxi, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2013年 / 59卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Perfect quantum codes; quantum error-correcting codes; quantum information; ERROR-CORRECTING CODES; STABILIZER CODES;

D O I：

10.1109/TIT.2012.2217475

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 solve the problem of the classification of q-ary perfect quantum codes. We prove that the only nontrivial q-ary perfect quantum codes are those with the parameters (((q(21)-1)/(q(2)-1), q(n-21),3))(q). There exist no other nontrivial q-ary perfect quantum codes.

引用

页码：631 / 634

页数：4

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