  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.
