%0 Journal Article %T Minimum error discrimination problem for pure qubit states %A Boris F Samsonov %J Physics %D 2009 %I arXiv %R 10.1103/PhysRevA.80.052305 %X 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. %U http://arxiv.org/abs/0906.0637v2