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 …

A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …

A state of a composite quantum system is called classically correlated if it can be
approximated by convex combinations of product states, and Einstein-Podolsky-Rosen …

We analyze and compare the mathematical formulations of the criterion for separability for
bipartite density matrices and the Bell inequalities. We show that a violation of a Bell …

This book compares various approaches to the interpretation of quantum mechanics, in
particular those which are related to the key words" the Copenhagen interpretation"," the …

Local realism implies constraints on the statistics of two physically separated systems. These
constraints, known collectively as Bell inequalities, can be violated by quantum mechanics …

We discuss general Bell inequalities for bipartite and multipartite systems, emphasizing the
connection with convex geometry on the mathematical side, and the communication aspects …

Bell inequalities are derived for any number of observers, any number of alternative setups
for each one of them and any number of distinct outcomes for each experiment. It is shown …

A family of polytopes, correlation polytopes, which arise naturally in the theory of probability
and propositional logic, is defined. These polytopes are tightly connected to combinatorial …

Under weak technical assumptions on a net of local von Neumann algebras {A (O)} in a
Hilbert space ℋ, which are fulfilled by any net associated to a quantum field satisfying the …