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Modal Quantum Theory

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Abstract

We present a discrete model theory similar in structure to ordinary quantum mechanics, but based on a finite field instead of complex amplitudes. The interpretation of this theory involves only the “modal” concepts of possibility and necessity rather than quantitative probability measures. Despite its simplicity, our model theory includes entangled states and has versions of both Bell’s theorem and the no cloning theorem.

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Authors and Affiliations

  1. Department of Physics, Kenyon College, Gambier, OH, USA

    Benjamin Schumacher

  2. Department of Mathematical Sciences, Denison University, Granville, OH, USA

    Michael D. Westmoreland

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  1. Benjamin Schumacher
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  2. Michael D. Westmoreland
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Correspondence to Benjamin Schumacher.

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Schumacher, B., Westmoreland, M.D. Modal Quantum Theory. Found Phys 42, 918–925 (2012). https://doi.org/10.1007/s10701-012-9650-z

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  • DOI: https://doi.org/10.1007/s10701-012-9650-z

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