Logicoalgebraic structures. I
type: Item
instance of: scholarly article
title: Logicoalgebraic structures. I
zbMATH Open document ID: 0802.03040
DOI: 10.1007/BF00979493
author: Sylvia Pulmannová
published in: International Journal of Theoretical Physics
publication date: 1994-07-18T00:00:00Z
review text: This paper is a brief survey article that describes some basic notions and properties of quantum logics (= \(\sigma\)-orthomodular posets). It presents the physical motivation and several examples (including such important constructions as direct product, horizontal sum and Greechie diagram). The main attemtion is given to compatibility (commutators), to joint distributions of observables and to their relationship to uncertainty relations, Boolean quotients and Bell inequalities. As a complement, the result of \textit{M. Navara} [Int. J. Theor. Phys. 31, No. 6, 925-935 (1992; Zbl 0771.03021)] about the independence of center, automorphisms and state space is included.
reviewed by: Josef Tkadlec
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 575478
zbMATH Keywords: commutator
zbMATH Keywords: orthomodular posets
zbMATH Keywords: survey
zbMATH Keywords: compatibility
zbMATH Keywords: joint distributions of observables
zbMATH Keywords: uncertainty relations
zbMATH Keywords: Boolean quotients
zbMATH Keywords: Bell inequalities
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 575478