Minimum-error discrimination between three mirror-symmetric states

Andersson, Erika and Barnett, Stephen M. and Gilson, Claire R. and Hunter, Kieran (2002) Minimum-error discrimination between three mirror-symmetric states. Physical Review A, 65 (5). 52307. ISSN 1094-1622

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    Abstract

    We present the optimal measurement strategy for distinguishing between three quantum states exhibiting a mirror symmetry. The three states live in a two-dimensional Hilbert space, and are thus overcomplete. By mirror symmetry, we understand that the transformation {|+〉→|+〉,|-〉→-|-〉} leaves the set of states invariant. The obtained measurement strategy minimizes the error probability. An experimental realization for polarized photons, realizable with current technology, is suggested.

    • Item type:Article
      ID code:2857
      Dates:
      Date
      Event
      19 April 2002
      Published
      Keywords:quantum physics, quantum states, mirror symmetry, optics, photonics, Optics. Light, Atomic and Molecular Physics, and Optics
      Subjects:Science > Physics > Optics. Light
      Department:Faculty of Science > Physics
      Depositing user: Mr Derek Boyle
      Date deposited:02 Feb 2007
      Last modified:30 Apr 2021 10:33
      URI:https://strathprints.strath.ac.uk/id/eprint/2857
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