Minimum error discrimination problem for pure qubit states

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Samsonov, Boris F
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Abstract
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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.
Comment: English is corrected thanks to PRA editor
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Quantum Physics
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