Abstract

A problem that has caught the attention of the community during the past decades is that of how to characterise, from more intuitive statements, the correlations that are observed in Nature. Moreover, the study has also extended to that of understanding the probability of obtaining certain outcomes when different (and perhaps incompatible) measurements are performed on a single system. In this talk I present a new framework to study these two phenomena (Nonlocality and Contextuality, respectively) in a unified manner. This approach is based on graph theory, which provides us with tools to study different sets of probabilistic models, such as the classical, quantum and no-signalling sets. I also present a set of supra-quantum probabilistic models relevant to the problem of characterising quantum correlations, and discuss related open problems.