Bell inequalities and Entanglement

2001/07/18 by Reinhard F. Werner, Michael M. Wolf, Werner, Reinhard F. +1 · 5 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0107093

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

arxiv created 2001/11/06 · arxiv updated 2009/12/01

Abstract

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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