Analytical calculation of optimal POVM for unambiguous discrimination of quantum states using KKT method

Details Analytical calculation of optimal POVM for unambiguous discrimination of quantum states using KKT method Analytical calculation of optimal POVM for unambiguous discrimination of quantum states using KKT method

2011-11-21

arxiv.org/abs/1111.4831v1

Computer Science

Information Theory

18 pages. arXiv admin note: substantial text overlap with arXiv:0708.2323

Scientific paper

In the present paper, an exact analytic solution for the optimal unambiguous state discrimination (OPUSD) problem involving an arbitrary number of pure linearly independent quantum states with real and complex inner product is presented. Using semidefinite programming and Karush-Kuhn-Tucker convex optimization method, we derive an analytical formula which shows the relation between optimal solution of unambiguous state discrimination problem and an arbitrary number of pure linearly independent quantum states.

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