Facets of nonlocal correlation under non-Hermitian system

TL;DR

This paper explores how non-Hermitian local systems influence quantum correlations in bipartite states, revealing that certain nonlocal features persist even without entanglement and that trace distance-based measures are more robust.

Contribution

It introduces a detailed analysis of quantum correlations under non-Hermitian dynamics, highlighting the robustness of trace distance measures and the nonlocality of non-entangled states.

Findings

Quantum correlations depend on initial conditions and system parameters.

States with nonzero quantum correlation can violate Bell inequality without entanglement.

Trace distance-based quantum correlation is more robust under nonunitary evolution.

Abstract

In this article, we investigate the dynamics of a bipartite system under the action of a local non-Hermitian system. We study the quantum correlation of the bipartite system quantified by the entanglement, measurement-induced nonlocality (MIN) based on Hilbert-Schmidt norm, trace distance, and Bell inequality. We find that the quantum correlations of the system depend on the initial conditions and system parameters. We observe that the states with nonzero quantum correlation obey the Bell inequality even in the absence of entanglement. Moreover, the Bell inequality completely fails to manifest the nonlocality for the mixed quantum state. However, we have identified the nonlocal attributes of the mixed quantum state in terms of MIN and trace distance MIN. Our results show that the trace distance-based correlation is more robust against the nonunitary evolution compared to the other quantifiers.