Unambiguous state discrimination: optimal solution and case study

Details Unambiguous state discrimination: optimal solution and case study Unambiguous state discrimination: optimal solution and case study

2008-07-24

arxiv.org/abs/0807.3923v2

Phys. Rev. A 81, 020304(R) (2010)

Physics

Quantum Physics

5 pages, 2 figures, published version

Scientific paper

10.1103/PhysRevA.81.020304

We present a generic study of unambiguous discrimination between two mixed quantum states. We derive operational optimality conditions and show that the optimal measurements can be classified according to their rank. In Hilbert space dimensions smaller or equal to five this leads to the complete optimal solution. We demonstrate our method with a physical example, namely the unambiguous comparison of n quantum states, and find the optimal success probability.

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