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Nonbinary Error-Detecting Hybrid Codes (2002.11075v1)
Published 25 Feb 2020 in quant-ph, cs.IT, and math.IT
Abstract: 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.