Entropic nonsignaling correlations

TL;DR

This paper introduces entropic nonsignaling correlations, characterizes their properties in various quantum scenarios, and derives new inequalities and monogamy relations to better understand quantum nonlocality.

Contribution

It presents the first entropic inequality for tripartite nonlocality, proves a monogamy relation for entropic Bell inequalities, and explores activation of entropic nonlocal correlations.

Findings

Derived the first entropic inequality for tripartite nonlocality.

Proved the first monogamy relation for entropic Bell inequalities.

Showed activation of entropic nonlocal correlations in complex Bell networks.

Abstract

We introduce the concept of entropic nonsignaling correlations, i.e., entropies arising from probabilistic theories that are compatible with the fact that we cannot transmit information instantaneously. We characterize and show the relevance of these entropic correlations in a variety of different scenarios, ranging from typical Bell experiments to more refined descriptions such as bilocality and information causality. In particular, we apply the framework to derive the first entropic inequality testing genuine tripartite nonlocality in quantum systems of arbitrary dimension and also prove the first known monogamy relation for entropic Bell inequalities. Further, within the context of complex Bell networks, we show that entropic nonlocal correlations can be activated.