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Nonbinary Error-Detecting Hybrid Codes

Quantum Physics 2020-02-26 v1 Information Theory 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 Zq\mathbb{Z}_{q} inspired by constructions of nonbinary non-additive codes.

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Cite

@article{arxiv.2002.11075,
  title  = {Nonbinary Error-Detecting Hybrid Codes},
  author = {Andrew Nemec and Andreas Klappenecker},
  journal= {arXiv preprint arXiv:2002.11075},
  year   = {2020}
}

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9 pages