Dynamics of Non Classically Reproducible Entanglement

TL;DR

This paper explores the conditions under which quantum entanglement and Bell inequality violations are not reproducible by classical models in systems with environmental memory, revealing limitations in using entanglement for certifiable quantum correlations.

Contribution

It introduces a comparison between Bell inequality dynamics and entanglement measures under non-Markovian environments, highlighting scenarios where high entanglement does not imply non-classical reproducibility.

Findings

Bell inequality is not violated despite high entanglement levels.

Time regions identified where quantum correlations are classically reproducible.

Proposed experimental modifications to observe these effects.

Abstract

We investigate when the quantum correlations of a bipartite system, under the influence of environments with memory, are not reproducible with certainty by a classical local hidden variable model. To this purpose, we compare the dynamics of a Bell inequality with that of entanglement, as measured by concurrence. We find time regions when Bell inequality is not violated even in correspondence to high values of concurrence (up to $\approx 0.8$). We also suggest that these results may be observed by adopting a modification of a recent experimental optical setup. These findings indicate that even highly entangled systems cannot be exploited with certainty in contexts where the non classical reproducibility of quantum correlations is required.