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Minimum error discrimination problem for pure qubit states

Source: Phys. Rev. A 80, 052305 (2009); doi:10.1103/PhysRevA.80.052305

Published 4 November 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.67.-a
    Quantum information
  • YEAR: 2009
PUBLICATION DATA
Publisher:
AIP is a member of CrossRef APS
Boris F. Samsonov
Physics Department, Tomsk State University, 36 Lenin Avenue, 634050 Tomsk, Russia
The necessary and sufficient conditions for minimization of the generalized rate error for discriminating among N pure qubit states are reformulated in terms of Bloch vectors representing the states. For the direct optimization problem, an algorithmic solution to these conditions is indicated. A solution to the inverse optimization problem is given. General results are widely illustrated by particular cases of equiprobable states and N=2,3,4 pure qubit states given with different prior probabilities. ©2009 The American Physical Society
History: Received 10 June 2009; published 4 November 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e052305
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