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ON the Number of Elements Needed in a POVM Attaining the Accessible Information

  • Peter W. Shor

Abstract

We investigate an symmetric set of three quantum states in three dimensions with interesting properties, which we call the lifted trine states. We show that for the ensemble consisting of the three lifted trine states taken with equal probabilities, the POVM measurement realizing the accessible information must contain six projectors, giving a counter-example to a conjecture of Levitin.

Keywords

Quantum measurement accessible information POVM’s 

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References

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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Peter W. Shor
    • 1
  1. 1.AT&T Labs —ResearchFlorham ParkUSA

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