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Bell’s Correlations and Spin Systems

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Abstract

The structure of maximal violators of Bell’s inequalities for Jordan algebras is investigated. It is proved that the spin factor V 2 is responsible for maximal values of Bell’s correlations in a faithful state. In this situation maximally correlated subsystems must overlap in a nonassociative subalgebra. For operator commuting subalgebras it is shown that maximal violators have the structure of the spin systems and that the global state (faithful on local subalgebras) acts as the trace on local subalgebras.

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Authors and Affiliations

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

    Martin Bohata & Jan Hamhalter

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  1. Martin Bohata
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  2. Jan Hamhalter
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Correspondence to Martin Bohata.

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Bohata, M., Hamhalter, J. Bell’s Correlations and Spin Systems. Found Phys 40, 1065–1075 (2010). https://doi.org/10.1007/s10701-009-9401-y

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  • DOI: https://doi.org/10.1007/s10701-009-9401-y

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