Extracting remaining information from an inconclusive result in optimal unambiguous state discrimination

Extracting remaining information from an inconclusive result in optimal unambiguous state... In unambiguous state discrimination, the measurement results consist of the error-free results and an inconclusive result, and an inconclusive result is conventionally regarded as a useless remainder from which no information about initial states is extracted. In this paper, we investigate the problem of extracting remaining information from an inconclusive result, provided that the optimal total success probability is determined. We present three simple examples. An inconclusive answer in the first two examples can be extracted partial information, while an inconclusive answer in the third one cannot be. The initial states in the third example are defined as the highly symmetric states. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Extracting remaining information from an inconclusive result in optimal unambiguous state discrimination

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Publisher
Springer US
Copyright
Copyright © 2014 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/s11128-014-0817-8
Publisher site
See Article on Publisher Site

Abstract

In unambiguous state discrimination, the measurement results consist of the error-free results and an inconclusive result, and an inconclusive result is conventionally regarded as a useless remainder from which no information about initial states is extracted. In this paper, we investigate the problem of extracting remaining information from an inconclusive result, provided that the optimal total success probability is determined. We present three simple examples. An inconclusive answer in the first two examples can be extracted partial information, while an inconclusive answer in the third one cannot be. The initial states in the third example are defined as the highly symmetric states.

Journal

Quantum Information ProcessingSpringer Journals

Published: Sep 6, 2014

References

  • Quantum state discrimination
    Barnett, SM; Croke, S
  • Optimal distinction between two non-orthogonal quantum states
    Jaeger, G; Shimony, A
  • Unambiguous discrimination between linearly-independent quantum states
    Chefles, A

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