Quantum error correction with degenerate codes for correlated noise

Giulio Chiribella, Michele Dall’Arno, Giacomo Mauro D’Ariano, Chiara Macchiavello, and Paolo Perinotti
Phys. Rev. A 83, 052305 – Published 9 May 2011
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  • INTRODUCTION
  • QUANTUM PACKING BOUND
  • DEGENERATE CODES FOR CORRELATED NOISE
  • CONCLUSION
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    We introduce a quantum packing bound on the minimal resources required by nondegenerate error-correction codes for any kind of noise. We prove that degenerate codes can outperform nondegenerate ones in the presence of correlated noise, by exhibiting examples where the quantum packing bound is violated.

    • Received 21 July 2010

    DOI:https://doi.org/10.1103/PhysRevA.83.052305

    ©2011 American Physical Society

    Authors & Affiliations

    Giulio Chiribella1, Michele Dall’Arno2,3, Giacomo Mauro D’Ariano2,3, Chiara Macchiavello2,3, and Paolo Perinotti2,3

    • 1Perimeter Institute for Theoretical Physics, 31 Caroline St. North, Waterloo, Ontario N2L 2Y5, Canada
    • 2Quit group, Dipartimento di Fisica “A. Volta,” via Bassi 6, I-27100 Pavia, Italy
    • 3INFN Sezione di Pavia, via Bassi 6, I-27100 Pavia, Italy

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    Issue

    Vol. 83, Iss. 5 — May 2011

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