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Can Classical Epistemic States Be Entangled?

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Quantum Interaction (QI 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7052))

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Abstract

Entanglement is a well-known and central concept in quantum theory, where it expresses a fundamental nonlocality (holism) of ontic quantum states, regarded as independent of epistemic means of gathering knowledge about them. An alternative, epistemic kind of entanglement is proposed for epistemic states (distributions) of dynamical systems represented in classical phase spaces. We conjecture that epistemic entanglement is to be expected if the states are based on improper phase space partitions. The construction of proper partitions crucially depends on the system dynamics.

Although improper partitions have a number of undesirable consequences for the characterization of dynamical systems, they offer the potential to understand some interesting features such as incompatible descriptions, which are typical for complex systems. Epistemic entanglement due to improper partitions may give rise to epistemic classical states analogous to quantum superposition states. In mental systems, interesting candidates for such states have been coined acategorial states, and among their key features are temporally nonlocal correlations. These correlations can be related to the situation of epistemic entanglement.

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Author information

Authors and Affiliations

  1. Institute for Frontier Areas of Psychology, Freiburg, Germany

    Harald Atmanspacher & Thomas Filk

  2. Department of Linguistics, Humboldt University, Berlin, Germany

    Peter beim Graben

  3. Institute of Physics, University of Freiburg, Germany

    Thomas Filk

  4. Parmenides Center for the Study of Thinking, Munich, Germany

    Harald Atmanspacher & Thomas Filk

  5. Collegium Helveticum, ETH Zürich, Switzerland

    Harald Atmanspacher

  6. Bernstein Center for Computational Neuroscience, Berlin, Germany

    Peter beim Graben

Authors
  1. Harald Atmanspacher
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  2. Peter beim Graben
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  3. Thomas Filk
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Editor information

Editors and Affiliations

  1. School of Computing, The Robert Gordon University, St. Andrew Street, AB25 1HG, Aberdeen, U.K.

    Dawei Song

  2. Department of Information Engineering, University of Padua, Via Gradenigo 6/B, 35131, Padova, Italy

    Massimo Melucci

  3. Department of Computer Science and Technology, University of Bedfordshire, Park Square, LU1 3JU, Luton, UK

    Ingo Frommholz

  4. School of Computing, The Robert Gordon University, St. Andrew Street, AB25 1HG, Aberdeen, UK

    Peng Zhang  & Lei Wang  & 

  5. School of Computing, University of Glasgow, 18 Lilybank Gardens, G 128 QQ, Glasgow, UK

    Sachi Arafat

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Atmanspacher, H., beim Graben, P., Filk, T. (2011). Can Classical Epistemic States Be Entangled?. In: Song, D., Melucci, M., Frommholz, I., Zhang, P., Wang, L., Arafat, S. (eds) Quantum Interaction. QI 2011. Lecture Notes in Computer Science, vol 7052. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24971-6_11

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  • DOI: https://doi.org/10.1007/978-3-642-24971-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24970-9

  • Online ISBN: 978-3-642-24971-6

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