A characterization of the Aerts product of Hilbertian lattices

DOI10.1016/S0034-4877(05)80040-0zbMath1094.03054arXivmath-ph/0405048MaRDI QIDQ819304

Boris Ischi

Publication date: 28 March 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0405048

zbMATH Keywords

quantum logiccompound systemortholattice

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (3)

Representation of state property systems ⋮ Orthocomplementation and compound systems ⋮ A quantum logical and geometrical approach to the study of improper mixtures

Cites Work

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• Coupling of quantum logics
• Property lattices for independent quantum systems
• Tensor product of quantum logics
• On Generating Distributive Sublattices of Orthomodular Lattices
• A connection between distributivity and locality in compound P-lattices
• Locality and orthomodular structure of compound systems

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