Nonbinary Error-Detecting Hybrid Codes

02/25/2020

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by   Andrew Nemec, et al.

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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 Z_q inspired by constructions of nonbinary non-additive codes.