Entangled Quantum State Discrimination using Pseudo-Hermitian System

TL;DR

This paper presents a method for discriminating entangled, non-orthogonal quantum states using pseudo-Hermitian systems, enabling their evolution into orthogonal states and highlighting the role of exceptional points.

Contribution

It introduces a novel approach employing pseudo-Hermitian Hamiltonians for entangled state discrimination, advancing quantum measurement techniques.

Findings

Non-orthogonal entangled states can be evolved into orthogonal states using pseudo-Hermitian systems.

A positive definite metric operator ensures the consistency of the pseudo-Hermitian quantum theory.

State evolution ceases at exceptional points of the 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.