Entangled quantum state discrimination using a pseudo-Hermitian system

Abstract

We demonstrate how to discriminate two non-orthogonal, entangled quantum\nstate which are slightly different from each other by using pseudo-Hermitian\nsystem. The positive definite metric operator which makes the pseudo-Hermitian\nsystems fully consistent quantum theory is used for such a state\ndiscrimination. We further show that non-orthogonal states can evolve through a\nsuitably constructed pseudo-Hermitian Hamiltonian to orthogonal states. Such\nevolution ceases at exceptional points of the pseudo-Hermitian system.\n