Symplectic isometries of stabilizer codes

被引：1
|
作者：
Pllaha, Tefjol [1 ]
机构：
[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2020年 / 19卷 / 02期
关键词：
Quantum stabilizer codes; self-orthogonal codes; Frobenius rings; symplectic isometries; local equivalence; LU-LC Conjecture; LU-LC CONJECTURE; FINITE; MODULES;
D O I：
10.1142/S0219498820500218
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the equivalence of quantum stabilizer codes via symplectic isometries of stabilizer codes. We define monomially and symplectically equivalent stabilizer codes and determine how different the two notions can be. Further, we show that monomial maps correspond to local Clifford operators. We relate the latter with the LU-LC Conjecture.
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页数：22
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