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
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
收藏
页码:975 / 977
页数:3
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