Stabilizer Codes over Frobenius Rings

被引：0
|
作者：
Nadella, Sushma [1 ]
Klappenecker, Andreas [1 ]
机构：
[1] Texas A&M Univ, Dept Comp Sci & Engn, College Stn, TX 77843 USA
来源：
2012 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS (ISIT) | 2012年
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Quantum error-correcting codes over finite fields have been widely studied, but quantum codes over rings have been left largely unexplored. This paper introduces stabilizer codes over finite Frobenius rings and establishes their connection to classical code. Structural properties of stabilizer codes over finite Frobenius rings are established. It is proved that free stabilizer codes over finite commutative chain rings cannot outperform stabilizer codes over finite fields.
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页码：165 / 169
页数：5
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