Entanglement correlations, Bell inequalities and the concurrence

Se p 20 02 NOISE CORRELATIONS , ENTANGLEMENT , AND BELL INEQUALITIES

Bell inequalities and entanglement

We discuss general Bell inequalities for bipartite and multipartite systems, emphasizing the connection with convex geometry on the mathematical side, and the communication aspects on the physical side. Known results on families of generalized Bell inequalities are summarized. We investigate maximal violations of Bell inequalities as well as states not violating (certain) Bell inequalities. Fin...

Bell Inequalities and Entanglement Witnesses Using Two-Body Correlations

It has been shown that there exist Bell inequalities constructed from symmetric oneand two-body correlations that are violated by certain quantum states involving any number of particles. However, the properties of such Bell inequalities have not been completely characterised. In this study, we determine the behaviour of various classes of entangled states with respect to these inequalities. It...

Distillability, bell inequalities, and multiparticle bound entanglement.

We study the relation between violation of Bell inequalities and distillability properties of quantum states. Recently, Dür [Phys. Rev. Lett. 87, 230402 (2001)] has shown that there are some multiparticle bound entangled states which are nonseparable and nondistillable, that violate a Bell inequality. We prove that for all the states violating this inequality there exists at least one splitting...

Relations between Entanglement Witnesses and Bell Inequalities

Philipp Hyllus, Otfried Gühne, Dagmar Bruß, 3 and Maciej Lewenstein ∗1, 4 Institut für Theoretische Physik, Universität Hannover, D-30167 Hannover, Germany. Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, A-6020 Innsbruck, Austria. Institut für Theoretische Physik III, Universität Düsseldorf, D-40225 Düsseldorf, Germany. ICFO Institut de Ciències F...