New constructions of entanglement-assisted quantum codes

被引：0
|
作者：
A. Allahmadi
A. AlKenani
R. Hijazi
N. Muthana
F. Özbudak
P. Solé
机构：
[1] King Abdulaziz University,Mathematics Department
[2] Middle East Technical University,Department of Mathematics and Institute of Applied Mathematics
[3] I2M,undefined
[4] Aix Marseille University,undefined
[5] Centrale Marseille,undefined
[6] CNRS,undefined
来源：
Cryptography and Communications | 2022年 / 14卷
关键词：
Entanglement-assisted quantum error correcting codes; Hull of a code; Concatenation; Isometry codes; 81P45; 81P70; 94B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present two new constructions of entanglement-assisted quantum error-correcting codes using some fundamental properties of (classical) linear codes in an effective way. The main ideas include linear complementary dual codes and related concatenation constructions. Numerical examples in modest lengths show that our constructions perform better than known constructions in the literature. We also give a proof on a generalization of binary Singleton type bound on entanglement-assisted quantum error-correcting codes to arbitrary q-ary entanglement-assisted quantum error-correcting codes.
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页码：15 / 37
页数：22
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