Bell-type inequalities in orthomodular lattices. II: Inequalities of higher order
type: Item
instance of: scholarly article
title: Bell-type inequalities in orthomodular lattices. II: Inequalities of higher order
zbMATH Open document ID: 0842.03044
DOI: 10.1007/BF00671364
author: Anatolij Dvurečenskij
author: Helmut Länger
published in: International Journal of Theoretical Physics
publication date: 1995-09-25T00:00:00Z
review text: In this paper, which is a continuation of the authors' previous paper [ibid. 34, No. 7, 995-1024 (1995; see the review above)], the authors study Bell-type inequalities of order 3 and higher. They give several characterizations of states fulfilling all Bell-type inequalities (in particular, they present a Bell-type inequality of order 3 which implies all Bell-type inequalities) and an example of a non-Boolean orthomodular lattice with a nonempty set of states such that every state on it fulfills all Bell-type inequalities.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 800581
zbMATH Keywords: Bell inequality
zbMATH Keywords: subadditivity
zbMATH Keywords: Boolean algebra
zbMATH Keywords: Bell-type inequalities of order 3 and higher
zbMATH Keywords: states
zbMATH Keywords: orthomodular lattice
reviewed by: Josef Tkadlec
MaRDI profile type: Publication
cites work: Bell-type inequalities in orthomodular lattices. I: Inequalities of order 2
cites work: The commutator and solvability in a generalized orthomodular lattice
cites work: Q3718766
description: scientific article; zbMATH DE number 800581