The Most General Causal Theory of Correlations Restricted to Bounded Multipartite

Explore a 42-minute lecture on quantum physics and statistical causal models presented by Marc-Olivier Renou from ICFO Barcelona at the Simons Institute. Delve into the intricacies of quantum correlations and their resistance to explanation through local theories based on shared randomness, as demonstrated by Bell's theorem. Examine alternative explanations for quantum correlations involving exotic theories with bipartite causal sources and shared randomness. Learn about a concrete test generalizing Bell experiments, based on the GHZ state, which proves that no bipartite-nonlocal causal theory can explain nature's quantum correlations. Investigate the generalization of this result to more complex causal theories involving k-partite systems and shared randomness. Discover a fully general definition for the 'most general causal theory of correlations in causal structures' that extends quantum theory. Critically analyze the standard notion of genuine multipartite nonlocality introduced by Svetlichny and consider a stricter redefinition compatible with the concept of no-signaling.