  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.
