Phys. Rev. A 68, 010301(R) (2003) [4 pages]

Unambiguous discrimination of mixed states

Abstract

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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

Received 13 March 2003; published 17 July 2003

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.68.010301

DOI:

10.1103/PhysRevA.68.010301

PACS:

03.67.-a

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Phys. Rev. A 68, 010301(R) (2003) [4 pages]

Unambiguous discrimination of mixed states