Minimum-error discrimination between three mirror-symmetric states

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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 1050-2947 (https://doi.org/10.1103/PhysRevA.65.052308)

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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
    Subjects:Science > Physics > Optics. Light
    Department:Faculty of Science > Physics
    Depositing user: Mr Derek Boyle
    Date deposited:02 Feb 2007
    Last modified:09 Jul 2025 22:04
    URI:https://strathprints.strath.ac.uk/id/eprint/2857
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