February 2012
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Day February 14, 2012

Entangled Quantum State Discrimination using Pseudo-Hermitian System

Ananya Ghatak, Bhabani Prasad Mandal

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

Quantum Physics (quant-ph); Mathematical Physics (math-ph)

On elements of the Lax-Phillips scattering scheme for PT-symmetric operators

Sergio Albeverio, Sergii Kuzhel

Generalized PT-symmetric operators acting an a Hilbert space $\mathfrak{H}$ are defined and investigated. The case of PT-symmetric extensions of a symmetric operator $S$ is investigated in detail. The possible application of the Lax-Phillips scattering methods to the investigation of PT-symmetric operators is illustrated by considering the case of 0-perturbed operators.

Mathematical Physics (math-ph); Quantum Physics (quant-ph)