Quantum states satisfying classical probability constraints

Details Quantum states satisfying classical probability constraints Quantum states satisfying classical probability constraints

2004-06-19

arxiv.org/abs/quant-ph/0406139v2

Banach Center Publ. vol. 73, 325-337 (2006) Proc. 25th QP Conf., June 2004, Poland

Physics

Quantum Physics

v.2: 13 pages, reorganized and shortened version (most examples removed); one reference added; the results not changed

Scientific paper

10.4064/bc73

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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