New Quantum Codes from CSS Codes

Markus Grassl

doi:10.1007/s11128-023-03835-3

New Quantum Codes from CSS Codes

Quantum Physics 2023-10-06 v2 Information Theory math.IT

Authors: Markus Grassl

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Abstract

We present a new propagation rule for CSS codes. Starting with a CSS code $[\![n,k,d]\!]_q$ , we construct a CSS code with parameters $[\![n-2,k,d-1]\!]_q$ . In general, one would only obtain a code with parameters $[\![n-2,k,d-2]\!]_q$ . The construction applies to asymmetric quantum codes from the CSS construction as well.

Cite

@article{arxiv.2208.05353,
  title  = {New Quantum Codes from CSS Codes},
  author = {Markus Grassl},
  journal= {arXiv preprint arXiv:2208.05353},
  year   = {2023}
}