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 …

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

We introduce a hierarchy of conditions necessarily satisfied by any distribution P α β
representing the probabilities for two separate observers to obtain outcomes α and β when …

Reichenbach's principle asserts that if two observed variables are found to be correlated,
then there should be a causal explanation of these correlations. Furthermore, if the …

We consider the problem of determining whether genuine multipartite entanglement was
produced in an experiment, without relying on a characterization of the systems observed or …

In 1960, the mathematician Ernst Specker described a simple example of nonclassical
correlations, the counter-intuitive features of which he dramatized using a parable about a …

One of the most important problems in physics is to reconcile quantum mechanics with
general relativity, and some authors have suggested that this may be realized at the …

It is well known that correlations predicted by quantum mechanics cannot be explained by
any classical (local-realistic) theory. The relative strength of quantum and classical …

The problem of separating classical from quantum correlations is, in general, intractable and
has been solved explicitly only in a few cases. In particular, known methods cannot provide …

We present a general method to quantify both bipartite and multipartite entanglement in a
device-independent manner, meaning that we put a lower bound on the amount of …