Bell inequalities in phase space and their violation in quantum mechanics

Auberson, G. ; Mahoux, G. ; Roy, S. M. ; Singh, Virendra (2002) Bell inequalities in phase space and their violation in quantum mechanics Physics Letters A, 300 (4-5). pp. 327-333. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03759...

Related URL: http://dx.doi.org/10.1016/S0375-9601(02)00827-7

Abstract

We derive phase space "Bell inequalities" and prove that, in general, more than three of the quantum probability distributions for (q1,q2), (p1,p2), (q1,p2) and (p1,q2) cannot be realised as marginals of a positive phase space density ρ(q. p). We also construct the most general positive ρ(q.p) which reproduces any three of the above distributions.

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Deposited On:07 Jun 2011 04:38
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