Minimum error discrimination problem for pure qubit states

Autor: Samsonov, Boris F
Rok vydání: 2009
Předmět:
Zdroj: PHYSICAL REVIEW A 80, 052305 (2009) (11pp)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevA.80.052305
Popis: 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
Databáze: arXiv