Local simulation of singlet statistics for restricted set of measurement

Abstract

The essence of Bell's theorem is that, in general, quantum statistics cannot be reproduced by local hidden variable (LHV) model. This impossibility is strongly manifested while analyzing the singlet state statistics for Bell-CHSH violations. In this work, we provide various subsets of two outcome POVMs for which a local hidden variable model can be constructed for singlet state.

2 column, 5 pages, 4 figures, new references, abstract modified, accepted in JPA

References in corpus (8)

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• The Communication Cost of Simulating Bell Correlations
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• Relaxed Bell inequalities and Kochen-Specker theorems
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• Simulation of partial entanglement with nonsignaling resources
• Optimal free-will on one side in reproducing the singlet correlation
• Simulation of bipartite qudit correlations

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• Bipartite polygon models: entanglement classes and their nonlocal behaviour