Nonbinary Error-Detecting Hybrid Codes

Andrew Nemec; Andreas Klappenecker

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arXiv · 2002.11075

Nonbinary Error-Detecting Hybrid Codes

Andrew Nemec·Andreas Klappenecker

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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.

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quant-ph cs.IT math.IT

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Andrew Nemec, Andreas Klappenecker. 2020-02-25. Nonbinary Error-Detecting Hybrid Codes. https://arxiv.org/abs/2002.11075

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