Published October 2009 | Version v1
Journal article

Constructions of new families of nonbinary quantum codes

  • 1. Department of Mathematics and Statistics, State University of Ponta Grossa-UEPG, 84030-900 Ponta Grossa, PR (Brazil)

Description

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≠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.

Additional details

Identifiers

Publishing Information

Journal Title
Physical Review. A
Journal Volume
80
Journal Issue
4
Journal Page Range
p. 042331-042331.11
ISSN
1050-2947
CODEN
PLRAAN

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
41059918
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CORRECTIONS; ERRORS; EUCLIDEAN SPACE; QUANTUM COMPUTERS; QUANTUM INFORMATION
Descriptors DEC
COMPUTERS; INFORMATION; MATHEMATICAL SPACE; RIEMANN SPACE; SPACE

Optional Information

Notes
(c) 2009 The American Physical Society