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Quantum states satisfying classical probability constraints
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For linear combinations of quantum product averages in an arbitrary bipartite state, we derive new quantum Bell-form and CHSH-form inequalities with the right-hand sides expressed in terms of a bipartite state. This allows us to specify in a general setting bipartite state properties sufficient for the validity of a classical CHSH-form inequality and the perfect correlation form of the original Bell inequality for any bounded quantum observables. We also introduce a new general condition on a bipartite state and quantum observables sufficient for the validity of the original Bell inequality, in its perfect correlation or anticorrelation forms. Under this general sufficient condition, a bipartite quantum state does not necessarily exhibit perfect correlations or anticorrelations.
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New bound on $S_{1}\times S_{2}$-setting Bell locality of a nonseparable Werner state
For d ≤ min{S1,S2}, every nonseparable Werner state with parameter Φ ∈ [−(d−1)/min{S1,S2}, 0) satisfies all Bell inequalities under any S1×S2-setting scenario with generalized measurements; for d > min{S1,S2}, every n...
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