Physics – Quantum Physics
Scientific paper
2005-10-21
Physics
Quantum Physics
Submitted to Journal of Physics:Conference Series (Proceedings of the 12th Central European Workshop on Quantum Optics, Ankara
Scientific paper
10.1088/1742-6596/36/1/010
Based on our previous publication [U. Herzog and J. A. Bergou, Phys.Rev. A 71, 050301(R) (2005)] we investigate the optimum measurement for the unambiguous discrimination of two mixed quantum states that occur with given prior probabilities. Unambiguous discrimination of nonorthogonal states is possible in a probabilistic way, at the expense of a nonzero probability of inconclusive results, where the measurement fails. Along with a discussion of the general problem, we give an example illustrating our method of solution. We also provide general inequalities for the minimum achievable failure probability and discuss in more detail the necessary conditions that must be fulfilled when its absolute lower bound, proportional to the fidelity of the states, can be reached.
Bergou Janos A.
Herzog Ulrike
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