Existence of states on quantum structures

DOI10.1016/j.ins.2008.06.011zbMath1162.81323OpenAlexW2062077434MaRDI QIDQ1010120

Mirko Navara

Publication date: 3 April 2009

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2008.06.011

zbMATH Keywords

blockorthomodular latticestateprobability measurequantum logicpastingBoolean subalgebra

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (7)

Pasting of lattice-ordered effect algebras ⋮ The pasting constructions for effect algebras ⋮ Characterization of spaces of filtering states ⋮ Categories of orthogonality spaces ⋮ Quantum structures without group-valued measures ⋮ Geometrical analysis of physically allowed quantum cloning transformations for quantum cryptography ⋮ The pasting constructions of lattice ordered effect algebras

Cites Work

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• Astroids and pastings
• A characterization of state spaces of orthomodular lattices
• There are orthomodular lattices without non-trivial group-valued states: A computer-based construction
• Small quantum structures with small state spaces
• Orthomodular lattices admitting no states
• Remarks about measures on orthomodular posets
• An Orthomodular Lattice Admitting No Group-Valued Measure
• Proper effect algebras admitting no states

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