Bell inequalities in phase space and their violation in quantum mechanics

摘要

We derive phase space "Bell inequalities" and prove that, in general, more than three of the quantum probability distributions for (q(1), q(2)), (p(1), p(2)), (q(1), p(2)) and (p(1), q(2)) cannot be realised as marginals of a positive phase space density p((p) over right arrow,(p) over right arrow). We also construct the most general positive p (4,) which reproduces any three of the above distributions. (C) 2002 Elsevier Science B.V All rights reserved. [References: 26]