Enlargement of Calderbank-Shor-Steane quantum codes

Authors
Citation
Am. Steane, Enlargement of Calderbank-Shor-Steane quantum codes, IEEE INFO T, 45(7), 1999, pp. 2492-2495
Citations number
24
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
45
Issue
7
Year of publication
1999
Pages
2492 - 2495
Database
ISI
SICI code
0018-9448(199911)45:7<2492:EOCQC>2.0.ZU;2-Z
Abstract
It is shown that a classical error correcting code C = [n, k, d] which cont ains its dual, CI C C, and which can be enlarged to C' = [n, k' > k + 1, d' ], can be converted into a quantum code of parameters [[In, k+k' - n, min(d , [3d'/2])]]. This is a generalization of a previous construction, it enabl es many new codes of good efficiency to be discovered. Examples based on cl assical Bose-Chaudhuri-Hocquenghem (ECR) codes are discussed.