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Abstract: Unambiguously distinguishing between nonorthogonal but linearly independentquantum states is a challenging problem in quantum information processing. Inthis work, an exact analytic solution to an optimum measurement probleminvolving an arbitrary number of pure linearly independent quantum states ispresented. To this end, the relevant semi-definite programming task is reducedto a linear programming one with a feasible region of polygon type which can besolved via simplex method. The strength of the method is illustrated throughsome explicit examples. Also using the close connection between theLewenstein-Sanpera decompositionLSD and semi-definite programming approach,the optimal positive operator valued measure for some of the well-knownexamples is obtain via Lewenstein-Sanpera decomposition method. {\bf Keywords:}Optimal Unambiguous State Discrimination, Linear Programming,Lewenstein-Sanpera decomposition. {\bf PACs Index: 03.67.Hk, 03.65.Ta, 42.50.-p



Author: M. A. Jafarizadeh, M. Rezaei, N. Karimi, A. R. Amiri

Source: https://arxiv.org/







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