A class of quantum low-density parity check codes by combining seed graphs

A class of quantum low-density parity check codes by combining seed graphs This paper proposes a new construction of quantum low-density parity check (LDPC) codes that belong to the class of general stabilizer (non-CSS) codes. The method constructs a binary check matrix $$A=(A_{1}|A_{2})$$ associated with the stabilizer generators of a quantum LDPC code. The binary check matrix is obtained from a large bipartite graph built by combining several small bipartite graphs called seed graphs. Computer simulation results show that the proposed code has similar or better performance than other quantum LDPC codes, and can be improved by exploiting the degenerate effect of quantum error-correcting codes. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

A class of quantum low-density parity check codes by combining seed graphs

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Publisher
Springer Journals
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/s11128-012-0519-z
Publisher site
See Article on Publisher Site

Abstract

This paper proposes a new construction of quantum low-density parity check (LDPC) codes that belong to the class of general stabilizer (non-CSS) codes. The method constructs a binary check matrix $$A=(A_{1}|A_{2})$$ associated with the stabilizer generators of a quantum LDPC code. The binary check matrix is obtained from a large bipartite graph built by combining several small bipartite graphs called seed graphs. Computer simulation results show that the proposed code has similar or better performance than other quantum LDPC codes, and can be improved by exploiting the degenerate effect of quantum error-correcting codes.

Journal

Quantum Information ProcessingSpringer Journals

Published: Jan 4, 2013

References

  • Quantum ldpc codes from balanced incomplete block designs
    Djordjevic, IB
  • General entanglement-assted quantum error-correcting codes
    Hsieh, MH; Devetak, I; Brun, T

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