Complete solution for unambiguous discrimination of three pure states with real inner products

Details Complete solution for unambiguous discrimination of three pure states with real inner products Complete solution for unambiguous discrimination of three pure states with real inner products

2010-07-29

arxiv.org/abs/1007.5112v3

Phys. Rev. A.82, 032338(2010)

Physics

Quantum Physics

13 pages, 3 figures, presentation improved, reference added

Scientific paper

10.1103/PhysRevA.82.032338

Complete solutions are given in a closed analytic form for unambiguous discrimination of three general pure states with real mutual inner products. For this purpose, we first establish some general results on unambiguous discrimination of n linearly independent pure states. The uniqueness of solution is proved. The condition under which the problem is reduced to an (n-1)-state problem is clarified. After giving the solution for three pure states with real mutual inner products, we examine some difficulties in extending our method to the case of complex inner products. There is a class of set of three pure states with complex inner products for which we obtain an analytical solution.

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