Classical statistical distributions can violate Bell-type inequalities

Details Classical statistical distributions can violate Bell-type inequalities Classical statistical distributions can violate Bell-type inequalities

2007-03-27

arxiv.org/abs/quant-ph/0703251v3

J. Phys. A: Math. Theor. 41, 085303, 2008.

Physics

Quantum Physics

v3: Extended version. To be published in J. Phys. A

Scientific paper

10.1088/1751-8113/41/8/085303

We investigate two-particle phase-space distributions in classical mechanics characterized by a well-defined value of the total angular momentum. We construct phase-space averages of observables related to the projection of the particles' angular momenta along axes with different orientations. It is shown that for certain observables, the correlation function violates Bell's inequality. The key to the violation resides in choosing observables impeding the realization of the counterfactual event that plays a prominent role in the derivation of the inequalities. This situation can have statistical (detection related) or dynamical (interaction related) underpinnings, but non-locality does not play any role.

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