Bell inequalities and Entanglement

Physics – Quantum Physics

Scientific paper

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26 pages, review article for the QIC journal (Quantum Information & Computation)

Scientific paper

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. Finally, we discuss the relation between Bell inequality violations and entanglement properties currently discussed in quantum information theory.

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