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International Journal of Theoretical Physics

, Volume 52, Issue 3, pp 723–734 | Cite as

Epistemic Entanglement due to Non-generating Partitions of Classical Dynamical Systems

  • Peter beim Graben
  • Thomas Filk
  • Harald Atmanspacher
Article

Abstract

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.

Keywords

Entanglement Classical dynamical systems Partitions Coupled oscillators 

Notes

Acknowledgements

This research was partly supported by the Franklin Fetzer Fund and by a DFG Heisenberg grant awarded to PbG (GR 3711/1-1).

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Peter beim Graben
    • 1
  • Thomas Filk
    • 2
  • Harald Atmanspacher
    • 3
  1. 1.Dept. of German Language and Linguistics, and Bernstein Center for Computational NeuroscienceHumboldt-Universität zu BerlinBerlinGermany
  2. 2.Physikalisches InstitutUniversity of FreiburgFreiburg i. Br.Germany
  3. 3.Institut für Grenzgebiete der Psychologie und PsychohygieneFreiburg i. Br.Germany

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