Dynamics of entropic measurement-induced nonlocality in structured reservoirs

TL;DR

This paper introduces entropic measurement-induced nonlocality (MIN), analyzes its dynamics in structured reservoirs, and explores how it can be preserved or enhanced, revealing measure-dependent differences in nonlocality characterization.

Contribution

It proposes a new entropic measure of MIN, studies its behavior in structured reservoirs, and demonstrates preservation and enhancement schemes, highlighting measure dependence in nonlocality.

Findings

MIN can be enhanced by common reservoirs for certain states

Different MIN measures yield different nonlocality characterizations

Schemes for preserving MIN in structured reservoirs are proposed

Abstract

We propose the entropic measurement-induced nonlocality (MIN) as the maximal increment of von Neumann entropy induced by the locally non-disturbing measurement, and study behaviors of it both in the independent and common structured reservoirs. We present schemes for preserving the MIN, and show that for certain initial states the MIN, including the quantum correlations, can even be enhanced by the common reservoir. Additionally, we also show that the different measures of MIN may give different qualitative characterizations of nonlocal properties, i.e., it is rather measure dependent than state dependent.