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Implementation of generalized quantum measurements for unambiguous discrimination of multiple non-orthogonal coherent states

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  • F. E. Becerra

    (Joint Quantum Institute, University of Maryland and National Institute of Standards and Technology)

  • J. Fan

    (Joint Quantum Institute, University of Maryland and National Institute of Standards and Technology)

  • A. Migdall

    (Joint Quantum Institute, University of Maryland and National Institute of Standards and Technology)

Abstract

Generalized quantum measurements implemented to allow for measurement outcomes termed inconclusive can perform perfect discrimination of non-orthogonal states, a task which is impossible using only measurements with definitive outcomes. Here we demonstrate such generalized quantum measurements for unambiguous discrimination of four non-orthogonal coherent states and obtain their quantum mechanical description, the positive-operator valued measure. For practical realizations of this positive-operator valued measure, where noise and realistic imperfections prevent perfect unambiguous discrimination, we show that our experimental implementation outperforms any ideal standard-quantum-limited measurement performing the same non-ideal unambiguous state discrimination task for coherent states with low mean photon numbers.

Suggested Citation

  • F. E. Becerra & J. Fan & A. Migdall, 2013. "Implementation of generalized quantum measurements for unambiguous discrimination of multiple non-orthogonal coherent states," Nature Communications, Nature, vol. 4(1), pages 1-6, October.
    • Handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms3028
    DOI: 10.1038/ncomms3028
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