Minimum-error discrimination between three mirror-symmetric states

Erika Andersson, Stephen M. Barnett, Claire R. Gilson, and Kieran Hunter
Phys. Rev. A 65, 052308 – Published 19 April 2002
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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.

  • Received 14 December 2001

DOI:https://doi.org/10.1103/PhysRevA.65.052308

©2002 American Physical Society

Authors & Affiliations

Erika Andersson1, Stephen M. Barnett1, Claire R. Gilson2, and Kieran Hunter1

  • 1Department of Physics and Applied Physics, University of Strathclyde, Glasgow G4 0NG, Scotland
  • 2Department of Mathematics, University of Glasgow, Glasgow G12 8QQ, Scotland

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Vol. 65, Iss. 5 — May 2002

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