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
收藏
页码：631 / 634
页数：4
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