Discrimination of two mixed quantum states with maximum confidence and minimum probability of inconclusive results

Details Discrimination of two mixed quantum states with maximum confidence and minimum probability of inconclusive results Discrimination of two mixed quantum states with maximum confidence and minimum probability of inconclusive results

2008-12-16

arxiv.org/abs/0812.3174v2

Physics

Quantum Physics

7 pages, 1 figure, accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.79.032323

We study an optimized measurement that discriminates two mixed quantum states with maximum confidence for each conclusive result, thereby keeping the overall probability of inconclusive results as small as possible. When the rank of the detection operators associated with the two different conclusive outcomes does not exceed unity we obtain a general solution. As an application, we consider the discrimination of two mixed qubit states. Moreover, for the case of higher-rank detection operators we give a solution for particular states. The relation of the optimized measurement to other discrimination schemes is also discussed.

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