Classical statistical distributions can violate Bell-type inequalities

@article{Matzkin2008ClassicalSD,
  title={Classical statistical distributions can violate Bell-type inequalities},
  author={A. Matzkin},
  journal={Journal of Physics A},
  year={2008},
  volume={41},
  pages={085303}
}
  • A. Matzkin
  • Published 2008
  • Mathematics, Physics
  • Journal of Physics A
We investigate two-particle phase-space distributions in classical mechanics constructed to be the analogs of quantum-mechanical angular-momentum eigenstates. We obtain the phase-space averages of specific observables related to the projection of the particles' angular momentum along axes with different orientations, and show that the ensuing correlation function violates Bell's inequality. The key to the violation resides in choosing observables impeding the realization of the joint… Expand
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