English

Quantum self-dual codes and symmetric matrices

Quantum Physics 2007-05-23 v2

Abstract

This paper has been withdrawn since a Gilbert-Varshamov bound for general quantum codes has already appeared in Ekert and Macchiavello, Prys. Rev. Lett. 77, p. 2585, and a Gilbert-Varshamov bound for stabilizer codes connected with orthogonal geometry, or equivalently, with symmetric matrices as in this paper, has been proved by Calredbank, Rains, Shor and Sloane, Phys. Rev. Lett. 78, p. 405. I would like to thank Robert Calderbank for pointing out these references to me.

Cite

@article{arxiv.quant-ph/9711047,
  title  = {Quantum self-dual codes and symmetric matrices},
  author = {Vladimir D. Tonchev},
  journal= {arXiv preprint arXiv:quant-ph/9711047},
  year   = {2007}
}

Comments

paper withdrawn