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.

中文翻译：

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扩展度为2的RS码和BCH码的纠缠辅助量子纠错码

在这项工作中，考虑了由里德-所罗门码和BCH码构成的纠缠辅助量子纠错码（EAQECC）。它为来自任何Reed-Solomon码，埃尔米特度量以及来自扩展度为2的任何BCH码和连续的原子组同集的EAQECC参数提供了一个完整而明确的公式，适用于欧几里德和埃尔米特度量。这项工作的主要任务是计算c的完全笼统公式，即所需的最大纠缠量子态的最小数量。