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arXiv:1211.6788 · Physical Review A

Bell inequalities for multipartite qubit quantum systems and their maximal violation

Ming Li, Shao-Ming Fei

Published Nov 28, 2012• 21 citations
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Abstract

We present a set of Bell inequalities for multiqubit quantum systems. These Bell inequalities are shown to be able to detect multiqubit entanglement better than previous Bell inequalities such as Werner-Wolf-Zukowski-Brukner ones. Computable formulas are presented for calculating the maximal violations of these Bell inequalities for any multiqubit states.

DOI
10.1103/physreva.86.052119

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We present a set of Bell inequalities for multiqubit quantum systems. These Bell inequalities are shown to be able to detect multiqubit entanglement better than previous Bell inequalities such as Werner-Wolf-Zukowski-Brukner ones. Computable formulas are presented for calculating the maximal violations of these Bell inequalities for any multiqubit states.
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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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