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Unambiguous discrimination of mixed states

Terry Rudolph, Robert W. Spekkens, and Peter S. Turner
Phys. Rev. A 68, 010301(R) – Published 17 July 2003
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Abstract

We present the conditions under which probabilistic error-free discrimination of mixed states is possible, and provide upper and lower bounds on the maximum probability of success for the case of two mixed states. We solve certain special cases exactly, and demonstrate how the problems of state filtering and state comparison can be recast as problems of mixed state unambiguous discrimination.

  • Received 13 March 2003

DOI:https://doi.org/10.1103/PhysRevA.68.010301

©2003 American Physical Society

Authors & Affiliations

Terry Rudolph1, Robert W. Spekkens2, and Peter S. Turner3

  • 1Bell Labs, 600 Mountain Avenue, Murray Hill, New Jersey 07974, USA
  • 2Perimeter Institute for Theoretical Physics, 35 King St. North, Waterloo, Ontario, Canada N2J 2W9
  • 3Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, Canada M5S 1A7

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Vol. 68, Iss. 1 — July 2003

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