Physics – Quantum Physics
Scientific paper
2009-06-03
PHYSICAL REVIEW A 80, 052305 (2009) (11pp)
Physics
Quantum Physics
English is corrected thanks to PRA editor
Scientific paper
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.
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