Tight multipartite Bell's inequalities involving many measurement settings.

On Tight Multiparty Bell Inequalities for Many Settings

CHSH type Bell inequalities involving a party with two or three local binary settings

We construct a simple algorithm to generate any CHSH type Bell inequality involving a party with two local binary measurements from two CHSH type inequalities without this party. The algorithm readily generalizes to situations, where the additional observer uses three measurement settings. There, each inequality involving the additional party is constructed from three inequalities with this par...

Two-Setting Bell Inequalities for Many Qubits

We present a family of Bell inequalities involving only two measurement settings of each party for N > 2 qubits. Our inequalities include all the standard ones with fewer than N qubits and thus gives a natural generalization. It is shown that all the Greenberger-Horne-Zeilinger states violate the inequalities maximally, with an amount that grows exponentially as 2. The inequalities are also vio...

für Mathematik in den Naturwissenschaften Leipzig Gisin ’ s Theorem for Arbitrary Dimensional Multipartite States

We present a set of Bell inequalities which are sufficient and necessary for separability of general pure multipartite quantum states in arbitrary dimensions. The relations between Bell inequalities and distillability are also studied. We show that any quantum states that violate one of these Bell inequalities are distillable.

Lifting Bell inequalities

A Bell inequality defined for a specific experimental configuration can always be extended to a situation involving more observers, measurement settings, or measurement outcomes. In this article, such “liftings” of Bell inequalities are studied. It is shown that if the original inequality defines a facet of the polytope of local joint outcome probabilities then the lifted one also defines a fac...