Class of bipartite quantum states satisfying the original Bell inequality

Details Class of bipartite quantum states satisfying the original Bell inequality Class of bipartite quantum states satisfying the original Bell inequality

2005-02-14

arxiv.org/abs/quant-ph/0502082v3

Letter to the Editor. J. Phys. A: Math. Gen. 38 (2005), L653-L658

Physics

Quantum Physics

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

Scientific paper

10.1088/0305-4470/38/40/L02

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.

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