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Advances in Mathematical Physics
Volume 2010 (2010), Article ID 469124, 12 pages
http://dx.doi.org/10.1155/2010/469124
Research Article

Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices

Institute of Information and Communication, Chonbuk National University, Chonju 561-756, South Korea

Received 21 July 2009; Accepted 20 December 2009

Academic Editor: Debashish Goswami

Copyright © 2010 Ying Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We demonstrate how to fast construct quantum error-correction codes based on quadratic residues Pauli block transforms. The present quantum codes have an advantage of being fast designed from Abelian groups on the basis of Pauli block matrices that can be yielded from quadratic residues with much efficiency.