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Characterization of Boolean Algebras in Terms of Certain States of Jauch-Piron Type

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Abstract

Suppose that L is an orthomodular lattice (a quantum logic). We show that L is Boolean exactly if L possesses a strongly unital set of weakly Jauch-Piron states, or if L possesses a unital set of weakly positive states. We also discuss some general properties of Jauch-Piron-like states.

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Authors and Affiliations

  1. Ruská 22, 101 00, Prague 10, Czech Republic

    Milan Matoušek

  2. Department of Mathematics, Faculty of Electrical Engineering, Czech Technical University, 166 27, Prague 6, Czech Republic

    Pavel Pták

Authors
  1. Milan Matoušek
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  2. Pavel Pták
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Correspondence to Milan Matoušek.

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Dedicated to the memory of Prof. Peter Mittelstaedt.

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Matoušek, M., Pták, P. Characterization of Boolean Algebras in Terms of Certain States of Jauch-Piron Type. Int J Theor Phys 54, 4476–4481 (2015). https://doi.org/10.1007/s10773-015-2638-7

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  • DOI: https://doi.org/10.1007/s10773-015-2638-7

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