Symmetric matrices and quantum codes
alg-geom
2007-05-23 v2 Algebraic Geometry
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This paper has been withdrawn since a Gilbert-Varshamov bound for general quantum codes has already appeared in Ekert and Macchiavello, Prys.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.alg-geom/9711026,
title = {Symmetric matrices and quantum codes},
author = {Vladimir D. Tonchev},
journal= {arXiv preprint arXiv:alg-geom/9711026},
year = {2007}
}
Comments
paper withdrawn