Symmetric matrices and quantum codes

Details Symmetric matrices and quantum codes Symmetric matrices and quantum codes

1997-11-20

arxiv.org/abs/alg-geom/9711026v2

Mathematics

Algebraic Geometry

paper withdrawn

Scientific paper

This paper has been withdrawn since a Gilbert-Varshamov bound for general quantum codes has already appeared in Ekert and Macchiavello, Prys.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.

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