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Constructions of new families of nonbinary quantum codes

Source: Phys. Rev. A 80, 042331 (2009); doi:10.1103/PhysRevA.80.042331

Published 28 October 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.67.Pp
    Quantum error correction and other methods for protection against decoherence
  • YEAR: 2009
PUBLICATION DATA
Publisher:
AIP is a member of CrossRef APS
Giuliano G. La Guardia
Department of Mathematics and Statistics, State University of Ponta Grossa–UEPG, 84030-900 Ponta Grossa, PR, Brazil
Three code constructions generating new families of good nonbinary quantum codes are presented in this paper. The first two ones are derived from Hermitian self-orthogonal non-narrow-sense Bose-Chaudhuri-Hocquenghem (BCH) codes. The third one is derived from q-ary (q[not-equal]2 is a prime power) Steane's enlargement of Calderbank-Shor-Steane codes applied to Euclidean self-orthogonal non-narrow-sense BCH codes. The quantum nonbinary BCH codes presented here have parameters better than the ones available in the literature. ©2009 The American Physical Society
History: Received 16 July 2009; published 28 October 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e042331
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