Quantum error-correcting codes from algebraic geometry codes of Castle type

被引：0
|
作者：
Carlos Munuera
Wanderson Tenório
Fernando Torres
机构：
[1] University of Valladolid,Department of Applied Mathematics
[2] ETS Arquitectura,Institute of Mathematics, Statistics and Computer Science (IMECC)
[3] University of Campinas (UNICAMP),undefined
来源：
Quantum Information Processing | 2016年 / 15卷
关键词：
Quantum codes; Self-orthogonal codes; Algebraic geometry codes; Castle codes; Trace codes; 94B27; 81P70; 11T71;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study algebraic geometry codes producing quantum error-correcting codes by the CSS construction. We pay particular attention to the family of Castle codes. We show that many of the examples known in the literature in fact belong to this family of codes. We systematize these constructions by showing the common theory that underlies all of them.
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页码：4071 / 4088
页数：17
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