Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2

被引：0
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作者：
Carlos Galindo
Fernando Hernando
Diego Ruano
机构：
[1] Universitat Jaume I,Instituto Universitario de Matemáticas y Aplicaciones de Castellón and Departamento de Matemáticas
[2] Universidad de Valladolid,IMUVA
来源：
Quantum Information Processing | 2021年 / 20卷
关键词：
EAQECC; Entanglement-assisted quantum codes; Reed–Solomon codes; BCH codes; Subfield subcodes; Cyclotomic cosets;
D O I：
暂无
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学科分类号：
摘要：
Entanglement-assisted quantum error-correcting codes (EAQECCs) constructed from Reed–Solomon codes and BCH codes are considered in this work. It is provided a complete and explicit formula for the parameters of EAQECCs coming from any Reed–Solomon code, for the Hermitian metric, and from any BCH code with extension degree 2 and consecutive cyclotomic cosets, for both the Euclidean and the Hermitian metric. The main task in this work is the computation of a completely general formula for c, the minimum number of required maximally entangled quantum states.
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