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The Fourth Generation Wireless Communications and Beyond

Research Article

Construction of Quantum Low Density Parity Check Code Based on Quasi-cyclic Sparse Sequence

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  • @INPROCEEDINGS{10.1109/CHINACOM.2008.4685067,
        author={Sheng-mei Zhao and Sheng-mei ZHAO and Bao-yui Zheng and Bao-yui ZHENG and Wan-nai Wang},
        title={Construction of Quantum Low Density Parity Check Code Based on Quasi-cyclic Sparse Sequence},
        proceedings={The Fourth Generation Wireless Communications and Beyond},
        publisher={IEEE},
        proceedings_a={CHINACOM2008-INDUSTRIAL},
        year={2008},
        month={11},
        keywords={Sparse sequence; LDPC; quantum error correction; quantum LDPC},
        doi={10.1109/CHINACOM.2008.4685067}
    }
    
  • Sheng-mei Zhao
    Sheng-mei ZHAO
    Bao-yui Zheng
    Bao-yui ZHENG
    Wan-nai Wang
    Year: 2008
    Construction of Quantum Low Density Parity Check Code Based on Quasi-cyclic Sparse Sequence
    CHINACOM2008-INDUSTRIAL
    IEEE
    DOI: 10.1109/CHINACOM.2008.4685067
Sheng-mei Zhao1, Sheng-mei ZHAO1, Bao-yui Zheng2, Bao-yui ZHENG2, Wan-nai Wang3
  • 1: Insitite of Signal Processing and Transmission Nanjing University of P & T. Nanjing, China,210003
  • 2: Insitite of Signal Processing and Transmission Nanjing University of P & T. Nanjing, China, 210003
  • 3: College of Communications and Information Nanjing University of P & T. Nanjing, China,210003

Abstract

In this paper, a construction method of quantum low density parity check codes (quantum LDPC) which based on classical quasi-cyclic sparse sequence is proposed, and the quantum code QLDPC(3,8)(16,6) and QLDPC(3,8)(64,24) are selected as examples to illustrate this construction method. The performances of this kind quantum LDPC codes are discussed over the bit-flipping channel by numerical simulations. The results show that these quantum codes have good ability to correct error in quantum channel.

Keywords
Sparse sequence; LDPC; quantum error correction; quantum LDPC
Published
2008-11-21
Publisher
IEEE
Modified
2010-05-16
http://dx.doi.org/10.1109/CHINACOM.2008.4685067
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