A \((3,3)\)-homogeneous quantum logic with 18 atoms. I
type: Item
instance of: scholarly article
title: A \((3,3)\)-homogeneous quantum logic with 18 atoms. I
zbMATH Open document ID: 1267.03063
DOI: 10.3103/S1066369X12110072
published in: Russian Mathematics
publication date: 2013-03-22T00:00:00Z
review text: An atomic quantum logic (orthomodular poset) is \((m,n)\)-homogeneous if every atom belongs to exactly \(m\) blocks and every block contains exactly \(n\) atoms. The author presents five examples of non-lattice \((3,3)\)-homogeneous quantum logics with 18 atoms and describes their automorphism groups and state spaces.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
Mathematics Subject Classification ID: 81P10
zbMATH DE Number: 6148267
zbMATH Keywords: quantum logic
zbMATH Keywords: atom
zbMATH Keywords: block
zbMATH Keywords: automorphism group
zbMATH Keywords: pure state
author: Foat F. Sultanbekov
reviewed by: Josef Tkadlec
MaRDI profile type: Publication
cites work: Orthomodular structures as quantum logics. Transl. from the Slovak
cites work: Q4852812
cites work: Orthomodular lattices admitting no states
cites work: Decompositions in Quantum Logic
cites work: Automorphism groups of small \((3,3)\)-homogeneous logics
description: scientific article; zbMATH DE number 6148267