Phys. Rev. A 80, 052305 (2009) [11 pages]Minimum error discrimination problem for pure qubit statesReceived 10 June 2009; published 4 November 2009 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 URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.052305
DOI:
10.1103/PhysRevA.80.052305
PACS:
03.67.−a
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