Diagrams of Kochen-Specker type constructions
type: Item
instance of: scholarly article
title: Diagrams of Kochen-Specker type constructions
zbMATH Open document ID: 0967.03057
DOI: 10.1023/A:1003695317353
author: Josef Tkadlec
published in: International Journal of Theoretical Physics
publication date: 2001-02-25T00:00:00Z
review text: Gleason's theorem claims that there is no two-valued state on the quantum logic of all closed subspaces of a Hilbert space of dimension 3 or more. \textit{S. Kochen} and \textit{E. P. Specker} [J. Math. Mech. 17, 59-87 (1967; Zbl 0156.23302)] constructed a finite quantum logic in a 3-dimensional space without a two-valued state. This paper considers some examples of a finite quantum logic in 3-dimensional and 4-dimensional spaces without a two-valued state.
reviewed by: Hirokazu Nishimura
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 1529174
zbMATH Keywords: Gleason's theorem
zbMATH Keywords: two-valued state
zbMATH Keywords: finite quantum logic
MaRDI profile type: Publication
full work available at URL: a:1003695317353
OpenAlex ID: W2370792652
description: scientific article; zbMATH DE number 1529174