Bell-type inequalities in orthomodular lattices. I: Inequalities of order 2
type: Item
instance of: scholarly article
title: Bell-type inequalities in orthomodular lattices. I: Inequalities of order 2
zbMATH Open document ID: 0842.03043
DOI: 10.1007/BF00671363
author: Anatolij Dvurečenskij
author: Helmut Länger
published in: International Journal of Theoretical Physics
publication date: 1995-11-07T00:00:00Z
review text: The authors study Bell-type inequalities in orthomodular lattices and concentrate their attention on inequalities of order 2. They give several characterizations of the original Bell inequality (in particular, they show that it implies all Bell-type inequalities of order 2) and study Bell-type inequalities in structures connected with a Hilbert space. They characterize Boolean algebras by means of properties of the set of states fulfilling the Bell inequality -- they generalize results of \textit{S. Pulmannová} and \textit{V. Majerník} [J. Math. Phys. 33, 2173-2178 (1992; Zbl 0771.03022)] and of \textit{P. Pták} and \textit{S. Pulmannová} [Commentat. Math. Univ. Carol. 35, 205-208 (1994; Zbl 0805.06010)].
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 800573
zbMATH Keywords: subadditivity
zbMATH Keywords: orthomodular lattices
zbMATH Keywords: Bell inequality
zbMATH Keywords: Bell-type inequalities of order 2
zbMATH Keywords: Hilbert space
zbMATH Keywords: Boolean algebras
zbMATH Keywords: states
reviewed by: Josef Tkadlec
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 800573