English

Non-Additive Quantum Codes from Goethals and Preparata Codes

Quantum Physics 2009-05-24 v1 Information Theory math.IT

Abstract

We extend the stabilizer formalism to a class of non-additive quantum codes which are constructed from non-linear classical codes. As an example, we present infinite families of non-additive codes which are derived from Goethals and Preparata codes.

Cite

@article{arxiv.0801.2144,
  title  = {Non-Additive Quantum Codes from Goethals and Preparata Codes},
  author = {Markus Grassl and Martin Roetteler},
  journal= {arXiv preprint arXiv:0801.2144},
  year   = {2009}
}

Comments

submitted to the 2008 IEEE Information Theory Workshop (ITW 2008)

R2 v1 2026-06-21T10:02:48.585Z