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.
翻译：这项工作考虑了根据Reed-Solomon编码和BCH编码构建的内嵌协助量子误差校正码(EAQECCs),为来自Reed-Solomon编码的EAQECs参数、Hermitian指标和具有扩展度的任何BCH编码(Euclidean和Hermitian指标)提供了完整和明确的公式,为Euclidean和Hermitian指标提供了2美元和连续环形共合元。这项工作的主要任务是计算一个完全通用的美元公式,即所需最大混合量的最小数量。
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