Bell's theorem proves that quantum theory is inconsistent with local physical models. It has
propelled research in the foundations of quantum theory and quantum information science …

Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …

Self-testing is a method to infer the underlying physics of a quantum experiment in a black
box scenario. As such it represents the strongest form of certification for quantum systems. In …

Bell's 1964 theorem, which states that the predictions of quantum theory cannot be
accounted for by any local theory, represents one of the most profound developments in the …

Quantum networks allow in principle for completely novel forms of quantum correlations. In
particular, quantum nonlocality can be demonstrated here without the need of having …

An active area of research in the fields of machine learning and statistics is the development
of causal discovery algorithms, the purpose of which is to infer the causal relations that hold …

Networks have advanced the study of nonlocality beyond Bell's theorem. Here, we introduce
the concept of full network nonlocality, which describes correlations that necessitate all links …

Bell's theorem witnesses that the predictions of quantum theory cannot be reproduced by
theories of local hidden variables in which observers can choose their measurements …

The problem of causal inference is to determine if a given probability distribution on
observed variables is compatible with some causal structure. The difficult case is when the …

Bayesian networks provide a powerful tool for reasoning about probabilistic causation, used
in many areas of science. They are, however, intrinsically classical. In particular, Bayesian …