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Epistemic entanglement due to non-generating partitions of classical dynamical systems

International journal of theoretical physics 52(3)
beim Graben, P.Filk, T.Atmanspacher, H. Department of German Language and Linguistics,
Humboldt University Berlin, Germany

Bernstein Center for Computational Neuroscience
Humboldt University Berlin, Germany

Physikalisches Institut,
University of Freiburg, Germany

Institut für Grenzgebiete der Psychologie und Psychohygiene, Freiburg, Germany
2013 Physics

Quantum entanglement relies on the fact that pure quantum states are dispersive and often inseparable. Since pure classical states are dispersion-free they are always separable and cannot be entangled. However, entanglement is possible for epistemic, dispersive classical states. We show how such epistemic entanglement arises for epistemic states of classical dynamical systems based on phase space partitions that are not generating. We compute epistemically entangled states for two coupled harmonic oscillators.

The article was published in: International journal of theoretical physics 52(3): 723-734.

Full article

This work was supported (in part) by the Fetzer Franklin Fund of the John E. Fetzer Memorial Trust.