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A Toy Model for Quantum Mechanics

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Abstract

The toy model used by Spekkens (Phys. Rev. A 75, 032110, 2007) to argue in favor of an epistemic view of quantum mechanics is extended by generalizing his definition of pure states (i.e. states of maximal knowledge) and by associating measurements with all pure states. The new toy model does not allow signaling but, in contrast to the Spekkens model, does violate Bell-CHSH inequalities. Negative probabilities are found to arise naturally within the model, and can be used to explain the Bell-CHSH inequality violations.

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Authors and Affiliations

  1. Department of Physics, Oregon Center for Optics and Institute for Theoretical Science, University of Oregon, Eugene, OR, 97403, USA

    S. J. van Enk

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  1. S. J. van Enk
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Correspondence to S. J. van Enk.

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van Enk, S.J. A Toy Model for Quantum Mechanics. Found Phys 37, 1447–1460 (2007). https://doi.org/10.1007/s10701-007-9171-3

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  • DOI: https://doi.org/10.1007/s10701-007-9171-3

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