Equational characterization for two-valued states in orthomodular quantum systems

In this paper we develop an algebraic framework in which several classes of two-valued states over orthomodular lattices may be equationally characterized. The class of two-valued states and the subclass of Jauch–Piron two-valued states are among the classes which we study.

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Bibliographic Details
Published in:Reports on mathematical physics 2011, Vol.68 (1), p.65-83
Main Authors: Domenech, G., Freytes, H., de Ronde, C.
Format: Article
Language:English
Subjects:
Algebra
Lattices
Mathematical analysis
orthomodular lattices
Quantum theory
two-valued states
varieties
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Summary:In this paper we develop an algebraic framework in which several classes of two-valued states over orthomodular lattices may be equationally characterized. The class of two-valued states and the subclass of Jauch–Piron two-valued states are among the classes which we study.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(11)60027-X