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Birkhoff-von Neumann Quantum Logic

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Book cover Quantum Physics, Fuzzy Sets and Logic

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Abstract

According to the historic Birkhoff and von Neumann paper [1] a family of experimental propositions pertaining to a quantum system should possess an algebraic structure characteristic of the family of all linear subspaces of a (finite-dimensional) Hilbert space, i.e. it should be an orthocomplemented modular lattice.

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References

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Authors and Affiliations

  1. Institute of Mathematics, University of Gdańsk, Gdańsk, Poland

    Jarosław Pykacz

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  1. Jarosław Pykacz
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Correspondence to Jarosław Pykacz .

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Pykacz, J. (2015). Birkhoff-von Neumann Quantum Logic. In: Quantum Physics, Fuzzy Sets and Logic. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-19384-7_6

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