A Varshamov-Gilbert bound for a class of formally self-dual codes and related quantum codes

被引：4

作者：

Tonchev, VD ^{[1
]}

机构：

[1] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2002年 / 48卷 / 04期

关键词：

quantum code; self-dual code; Varshamov-Gilbert bound;

D O I：

10.1109/18.992809

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is proved that a class of q-ary (2n, n) formally self-dual codes obtained from symmetric matrices over GF (q), contains codes that meet the Varshamov-Gilbert bound. The codes are self-dual with respect to the symplectic inner product and yield quantum codes encoding one state with n q-ary qubits and having minimum distance proportional to n.

引用

页码：975 / 977

页数：3

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