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Bell inequalities and Entanglement
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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.
Forward citations
Cited by 3 Pith papers
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Quantum Nonlocality under Latency Constraints
Relaxing the light-speed-delay constraint so a subset of parties can communicate produces new Bell-type bounds, and quantum communication can beat classical bounds in games where the strict Bell scenario cannot.
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Generalized measurements for Bell tests in different probability spaces
One experimental arrangement with four detectors per photon implements two distinct probability spaces for Bell tests, and yields new conditional-probability Bell inequalities.
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Picking NPA constraints from a randomly sampled quantum moment matrix
A method that obtains equality constraints for NPA-style SDP relaxations by randomly sampling quantum moment matrices to bound quantum correlations.
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