Erratum to: Asymmetric quantum codes: new codes from old

Erratum to: Asymmetric quantum codes: new codes from old Quantum Inf Process (2013) 12:2791 DOI 10.1007/s11128-013-0573-1 ERRATUM Erratum to: Asymmetric quantum codes: new codes from old Giuliano G. La Guardia Published online: 10 April 2013 © Springer Science+Business Media New York 2013 Erratum to: Quantum Inf Process DOI 10.1007/s11128-013-0562-4 We regret that unfortunately an error was introduced in the original version of this article. There is an error under the Section 4 Construction methods in Theorem 4.2. An inline equation was erroneously included. The correct text for Theorem 4.2 is as follows. Theorem 4.2 Let q be a prime power. Assume that there exists an AQECC with m m parameters [[n, k, d /d ]] , derived from linear codes C =[n, k , d ] and z x q 1 1 1 q C =[n, k , d ] , respectively. Then, there exists an AQECC with parameters 2 2 2 q ∗ ∗ ∗ ∗ ⊥ ⊥ [[mn, mk, d /d ]] , where k = k − k , d ≥ d and d ≥ d , where d denotes q 1 2 1 z x z x 2 2 the minimum distance of the dual code C . The online version of the original article can be found under doi:10.1007/s11128-013-0562-4. G. G. La Guardia (B) Department of Mathematics and Statistics, State University of Ponta Grossa, Ponta Grossa, PR 84030-900, Brazil e-mail: gguardia@uepg.br http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Erratum to: Asymmetric quantum codes: new codes from old

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Publisher
Springer US
Copyright
Copyright © 2013 by Springer Science+Business Media New York
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-013-0573-1
Publisher site
See Article on Publisher Site

Abstract

Quantum Inf Process (2013) 12:2791 DOI 10.1007/s11128-013-0573-1 ERRATUM Erratum to: Asymmetric quantum codes: new codes from old Giuliano G. La Guardia Published online: 10 April 2013 © Springer Science+Business Media New York 2013 Erratum to: Quantum Inf Process DOI 10.1007/s11128-013-0562-4 We regret that unfortunately an error was introduced in the original version of this article. There is an error under the Section 4 Construction methods in Theorem 4.2. An inline equation was erroneously included. The correct text for Theorem 4.2 is as follows. Theorem 4.2 Let q be a prime power. Assume that there exists an AQECC with m m parameters [[n, k, d /d ]] , derived from linear codes C =[n, k , d ] and z x q 1 1 1 q C =[n, k , d ] , respectively. Then, there exists an AQECC with parameters 2 2 2 q ∗ ∗ ∗ ∗ ⊥ ⊥ [[mn, mk, d /d ]] , where k = k − k , d ≥ d and d ≥ d , where d denotes q 1 2 1 z x z x 2 2 the minimum distance of the dual code C . The online version of the original article can be found under doi:10.1007/s11128-013-0562-4. G. G. La Guardia (B) Department of Mathematics and Statistics, State University of Ponta Grossa, Ponta Grossa, PR 84030-900, Brazil e-mail: gguardia@uepg.br

Journal

Quantum Information ProcessingSpringer Journals

Published: Apr 10, 2013

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