Tensor products of Hilbert space effect algebras

DOI10.1016/S0034-4877(04)90017-1zbMath1061.81002OpenAlexW2056485614MaRDI QIDQ1769825

Sylvia Pulmannová

Publication date: 30 March 2005

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(04)90017-1

zbMATH Keywords

stateeffect algebratensor productmorphismHilbert space effects

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Spaces of operators; tensor products; approximation properties (46B28) Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

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Cites Work

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• Construction of a structure which enables to describe the joint system of a classical system and a quantum system
• Effects as functions on projective Hilbert space
• Chain tensor products and interval effect algebras
• Convex effect algebras, state ordered effect algebras, and ordered linear spaces
• Morphisms, tensor products and \(\sigma\)-effect algebras
• Tensor products of \(D\)-posets and \(D\)-test spaces
• Tensor product of difference posets and effect algebras
• ⊥-order automorphisms of Hilbert space effect algebras: The two-dimensional case
• Algebraic Analysis of Many Valued Logics
• Tensor Product of Difference Posets
• Orthocomplete effect algebras
• Partial order of quantum effects
• Operational Quantum Physics

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