论文标题
子场公制及其应用于量子误差校正
The Subfield Metric and its Application to Quantum Error Correction
论文作者
论文摘要
我们在有限扩展字段上引入了一个新的重量和相应的度量，以进行非对称误差校正。重量将元素与基础磁场及其外部的元素区分开来，这是由不对称量子代码动机的。我们为该重量和度量标准设置了理论框架，包括上限和下限，随机代码的渐近行为，我们显示了实现单胎型上限的最佳代码家族的存在。
We introduce a new weight and corresponding metric over finite extension fields for asymmetric error correction. The weight distinguishes between elements from the base field and the ones outside of it, which is motivated by asymmetric quantum codes. We set up the theoretic framework for this weight and metric, including upper and lower bounds, asymptotic behavior of random codes, and we show the existence of an optimal family of codes achieving the Singleton-type upper bound.
