Fu-Lin Zhang, Jing-Ling Chen
We study the procedure for unambiguous quantum state discrimination assisted by an auxiliary system, and find its requirement on the quantum correlations between the principal system and the auxiliary one is much less than the published results. For arbitrary case, the entanglement can be zero by adjusting the parameters in the joint unitary transformation without affecting the success probability . The discord in the optimal process of assisted state discrimination reaches its minimum when the entanglement is absent, which is precisely the quantum dissonance and is zero when the overlap of the two states to be discriminated is greater than the square root of the ratio of their \emph{priori} probabilities. We also present a geometric interpretation for the optimal positive-operator-valued measure strategy treating the same problem, in which the probability of recognition is naturally represent as the inner product of two vectors in a quadrilateral and whether the dissonance is zero depends on the position of one of the vertices.
View original:
http://arxiv.org/abs/1208.2857
No comments:
Post a Comment