Nonbinary Error-Detecting Hybrid Codes

• URL: http://arxiv.org/abs/2002.11075v1
• Date: Tue, 25 Feb 2020 18:11:27 GMT
• Title: Nonbinary Error-Detecting Hybrid Codes
• Authors: Andrew Nemec and Andreas Klappenecker
• Abstract summary: 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.
• Score: 7.6146285961466
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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