Class of bipartite quantum states satisfying the original Bell inequality

Abstract

In a general setting, we introduce a new bipartite state property sufficient for the validity of the perfect correlation form of the original Bell inequality for any three bounded quantum observables. A bipartite quantum state with this property does not necessarily exhibit perfect correlations. The class of bipartite states specified by this property includes both separable and nonseparable states. We prove analytically that, for any dimension d>2, every Werner state, separable or nonseparable, belongs to this class.

arXiv comment6 pages, v.2: one reference added, the statement on Werner states essentially extended; v.3: details of proofs inserted

References in corpus (2)

• Local Hidden Variable Theories for Quantum States
• On separability of quantum states and the violation of Bell-type inequalities

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