Erratum to: “Fast quantum codes based on Pauli block Jacket matrices”

Erratum to: “Fast quantum codes based on Pauli block Jacket matrices” Quantum Inf Process (2010) 9:663–666 DOI 10.1007/s11128-009-0160-7 ERRATUM Erratum to: “Fast quantum codes based on Pauli block Jacket matrices” Ying Guo · Moon Ho Lee Published online: 12 January 2010 © Springer Science+Business Media, LLC 2010 Erratum to: Quantum Inf Process (2009) 8:361–378 DOI 10.1007/s11128-009-0113-1 In our recent paper entitled “Fast quantum codes based on Pauli block Jacket matrices” [Quantum Inf Process (2009) 8:361–378], it was claimed that the constructed codes were asymptotically good. However, the further investigation shows that minimum distances of those code are always two. Some defects of the original paper are also provided in detail. 1 Introduction Quantum error-correction code (QECC), an important issue in quantum information processing as well as in quantum communication, has demonstrated a formal possi- bility of storing and manipulating quantum data in the presence of noise [1]. Recently, several types of QECCs have been developed and investigated [2–8]. As these codes are mostly based on the stabilizer formalism, a well-designed structure should be involved. Usually, this code is called the stabilizer quantum code because of the stabilizer’s involvement. However, the fixed structure of the stabilizer is usually inconvenient when considering constructions of long-length quantum codes with fast algorithms. The online http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Erratum to: “Fast quantum codes based on Pauli block Jacket matrices”

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Publisher
Springer US
Copyright
Copyright © 2010 by Springer Science+Business Media, LLC
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/s11128-009-0160-7
Publisher site
See Article on Publisher Site

Abstract

Quantum Inf Process (2010) 9:663–666 DOI 10.1007/s11128-009-0160-7 ERRATUM Erratum to: “Fast quantum codes based on Pauli block Jacket matrices” Ying Guo · Moon Ho Lee Published online: 12 January 2010 © Springer Science+Business Media, LLC 2010 Erratum to: Quantum Inf Process (2009) 8:361–378 DOI 10.1007/s11128-009-0113-1 In our recent paper entitled “Fast quantum codes based on Pauli block Jacket matrices” [Quantum Inf Process (2009) 8:361–378], it was claimed that the constructed codes were asymptotically good. However, the further investigation shows that minimum distances of those code are always two. Some defects of the original paper are also provided in detail. 1 Introduction Quantum error-correction code (QECC), an important issue in quantum information processing as well as in quantum communication, has demonstrated a formal possi- bility of storing and manipulating quantum data in the presence of noise [1]. Recently, several types of QECCs have been developed and investigated [2–8]. As these codes are mostly based on the stabilizer formalism, a well-designed structure should be involved. Usually, this code is called the stabilizer quantum code because of the stabilizer’s involvement. However, the fixed structure of the stabilizer is usually inconvenient when considering constructions of long-length quantum codes with fast algorithms. The online

Journal

Quantum Information ProcessingSpringer Journals

Published: Jan 12, 2010

References

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