论文标题

非二进制错误检测混合代码

Nonbinary Error-Detecting Hybrid Codes

论文作者

Nemec, Andrew, Klappenecker, Andreas

论文摘要

混合代码同时编码量子和经典信息,从而使两者都可以通过量子通道传输。我们构建了一个非二进制错误检测混合稳定器代码的家族,该家族可以检测一个错误,同时还可以在残基类环上编码一个经典位$ \ mathbb {z} _ {q} $,灵感来自非二进制非添加代码的构建。

Hybrid codes simultaneously encode both quantum and classical information, allowing for the transmission of both across a quantum channel. We construct a family of nonbinary error-detecting hybrid stabilizer codes that can detect one error while also encoding a single classical bit over the residue class rings $\mathbb{Z}_{q}$ inspired by constructions of nonbinary non-additive codes.

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