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 ≈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.
@article{arxiv.0806.3182,
title = {Dynamics of Non Classically Reproducible Entanglement},
author = {Bruno Bellomo and Rosario Lo Franco and Giuseppe Compagno},
journal= {arXiv preprint arXiv:0806.3182},
year = {2010}
}