Functional properties of transition probability spaces
type: Item
instance of: scholarly article
title: Functional properties of transition probability spaces
zbMATH Open document ID: 0638.03060
DOI: 10.1016/0034-4877(86)90042-X
published in: Reports on Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: It is shown that every (not necessarily symmetric) transition probability space in the sense of \textit{B. Mielnik} [Commun. Math. Phys. 9, 55-80 (1968; Zbl 0164.295)] can be considered as a functional logic [\textit{M. J. Maczyński}, Int. J. Theor. Phys. 11, 149-156 (1974)]. A characterization of those functional logics which correspond to transition probability spaces is presented. Meanwhile I found that \textit{P. C. Deliyannis} [ibid. 23, 217-226 (1984; Zbl 0547.03043)] proved similar results by different methods not using the functional representation of logics.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P05
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 4039898
zbMATH Keywords: quantum logic
zbMATH Keywords: transition probability space
zbMATH Keywords: functional logics
zbMATH Keywords: functional representation of logics
author: Sylvia Pulmannová
MaRDI profile type: Publication
cites work: Geometry of quantum states
cites work: Transition probability spaces
full work available at URL: 0034-4877(86)90042-x
OpenAlex ID: W2087040211
description: scientific article; zbMATH DE number 4039898