0502082v3

related topics
{bell, inequality, local}
{state, states, entangled}
{operator, operators, space}
{let, theorem, proof}
{observables, space, algebra}
{alice, bob, state}
{measurement, state, measurements}
{information, entropy, channel}
{states, state, optimal}

Class of bipartite quantum states satisfying the original Bell inequality

Elena R. Loubenets

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.

oai_identifier:
oai:arXiv.org:quant-ph/0502082
categories:
quant-ph math-ph math.MP
comments:
6 pages, v.2: one reference added, the statement on Werner states essentially extended; v.3: details of proofs inserted
doi:
10.1088/0305-4470/38/40/L02
arxiv_id:
quant-ph/0502082
journal_ref:
Letter to the Editor. J. Phys. A: Math. Gen. 38 (2005), L653-L658
created:
2005-02-14
updated:
2005-10-02

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