Entanglement in Non-Hermitian Quantum Theory

TL;DR

This paper explores how entanglement behaves in non-Hermitian PT-symmetric quantum systems, revealing differences from traditional quantum theory and methods to generate entanglement using non-Hermitian Hamiltonians.

Contribution

It introduces the concept of entanglement in non-Hermitian PT-symmetric quantum systems and analyzes how entanglement properties differ from standard quantum mechanics.

Findings

Maximally entangled states appear non-maximal in PT-symmetric theory

Entanglement can be generated between PTQubits using non-Hermitian Hamiltonians

Non-Hermitian Hamiltonians have entangling capabilities

Abstract

Entanglement is one of the key feature of quantum world that has no classical counterpart. This arises due to the linear superposition principle and the tensor product structure of the Hilbert space when we deal with multiparticle systems. In this paper, we will introduce the notion of entanglement for quantum systems that are governed by non-Hermitian yet PT-symmetric Hamiltonians. We will show that maximally entangled states in usual quantum theory behave like non-maximally entangled states in PT-symmetric quantum theory. Furthermore, we will show how to create entanglement between two PTQubits using non-Hermitian Hamiltonians and discuss the entangling capability of such interaction Hamiltonians that are non-Hermitian in nature.