Strengthened Bell inequalities for entanglement verification

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...

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...

Observing Entanglement: Violations of Bell Inequalities

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...

Quadratic bell inequalities as tests for multipartite entanglement.

This Letter presents quantum mechanical inequalities which distinguish, for systems of n spin- 1 / 2 particles ( n>2), between fully entangled states and states in which at most n-1 particles are entangled. These inequalities are stronger than those obtained by Gisin and Bechmann-Pasquinucci [Phys. Lett. A 246, 1 (1998)] and by Seevinck and Svetlichny [quant-ph/0201046].