Subadditivity of states on quantum logics
type: Item
instance of: scholarly article
title: Subadditivity of states on quantum logics
zbMATH Open document ID: 0839.03044
DOI: 10.1007/BF00676290
published in: International Journal of Theoretical Physics
publication date: 1996-06-19T00:00:00Z
review text: The author first gives a few equivalent definitions of subadditivity of a state on orthomodular lattices and then he compares similar properties in orthomodular posets. Two theorems are presented asserting that an orthomodular poset satisfying some state subadditivity conditions is a Boolean algebra. These results generalize a theorem given by \textit{S. Pulmannová} and \textit{V. Majerník} [J. Math. Phys. 33, No. 6, 2173-2178 (1992; Zbl 0771.03022)]\ and a theorem of \textit{V. Müller}, \textit{P. Pták} and \textit{J. Tkadlec} [Int. J. Theor. Phys. 31, No. 5, 843-854 (1992; Zbl 0772.03031)].
reviewed by: Beloslav Riečan
Mathematics Subject Classification ID: 03G12
zbMATH DE Number: 844097
zbMATH Keywords: orthomodular lattices
zbMATH Keywords: orthomodular posets
zbMATH Keywords: state subadditivity
author: Josef Tkadlec
MaRDI profile type: Publication
cites work: Q5789040
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full work available at URL: https://doi.org/10.1007/bf00676290
OpenAlex ID: W2114205404
description: scientific article; zbMATH DE number 844097