International Journal of Theoretical Physics

, Volume 36, Issue 6, pp 1269–1288 | Cite as

Optimum measurements for discrimination among symmetric quantum states and parameter estimation

  • Masashi Ban
  • Keiko Kurokawa
  • Rei Momose
  • Osamu Hirota
Article
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Abstract

An optimum quantum measurement that minimizes the average probability of error is considered for symmetric quantum states. The positive operator-valued measure (POM) which satisfies the necessary and sufficient condition for the minimization of the average probability of error is derived by using the quantum Bayes strategy. It is also shown that the mutual information obtained in the optimum quantum measurement becomes extremum. Furthermore, an optimum quantum measurement for parameter estimation is found for symmetric quantum states by applying the maximum-likelihood estimation. The optimum POM for the parameter estimation has the same structure as that for the quantum state discrimination.

Keywords

Quantum State Mutual Information Average Probability Quantum Measurement Optimum Measurement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • Masashi Ban
    • 1
  • Keiko Kurokawa
    • 2
  • Rei Momose
    • 2
  • Osamu Hirota
    • 2
  1. 1.Advanced Research LaboratoryHitachi, Ltd.Hatoyama, SaitamaJapan
  2. 2.Research Center for Quantum CommunicationsTamagawa UniversityMachida, TokyoJapan

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