Explicit error syndrome calculation for quantum graph codes

In Schlingemann (J Math Phys 45:4322, 2004 ) it was proved that for any calculated error syndrome for quantum graph codes exists an appropriate local correction operation. In this paper we propose an explicit operator to perform the calculation of the syndrome to these codes. Our method makes use of...

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Bibliographic Details
Published inQuantum information processing Vol. 12; no. 2; pp. 1269 - 1285
Main Authors Santos, Gilson O., de Assis, Francisco M., de Lima, Aércio F.
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.02.2013
Springer
Subjects
Applied sciences
Classical and quantum physics: mechanics and fields
Coding, codes
Computer science; control theory; systems
Computer systems and distributed systems. User interface
Data Structures and Information Theory
Exact sciences and technology
Information, signal and communications theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum computation
Quantum Computing
Quantum information
Quantum Information Technology
Quantum Physics
Signal and communications theory
Software
Spintronics
Telecommunications and information theory
Quantum error-correction code
Quantum decoding
Quantum Fourier Transform
Quantum graph codes
Quantum computation
Fourier transformation
Error correcting code
Decoding
Syndrome
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Summary:In Schlingemann (J Math Phys 45:4322, 2004 ) it was proved that for any calculated error syndrome for quantum graph codes exists an appropriate local correction operation. In this paper we propose an explicit operator to perform the calculation of the syndrome to these codes. Our method makes use of the inverse quantum Fourier transform.
ISSN:1570-0755
1573-1332
DOI:10.1007/s11128-012-0467-7