Entangled Quantum State Discrimination using Pseudo-Hermitian System

Abstract

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.

Latex, 9 pages, 1 figure

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Cited by in corpus (6)

• Theory of superconductivity with non-Hermitian and parity-time reversal symmetric cooper pairing symmetry
• Various Scattering Properties of a New PT-symmetric non-Hermitian potential
• PT phase transition in a (2+1)-d relativistic system
• A black potential for spin less particles
• Critical coupling and coherent perfect absorption for ranges of energies due to a complex gain and loss symmetric system
• Reciprocity in parity violating non-Hermitian systems