Operational independence and operational separability in algebraic quantum mechanics

DOI10.1007/S10701-010-9447-XzbMath1214.81108OpenAlexW1998786206MaRDI QIDQ535647

Miklós Rédei

Publication date: 13 May 2011

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-010-9447-x

zbMATH Keywords

independenceoperator algebrasquantum mechanics

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (6)

Categorial subsystem independence as morphism co-possibility ⋮ Operational independence, faithful maps and minimal tensor products ⋮ Operational independence and tensor products of C*-algebras ⋮ How local are local operations in local quantum field theory? ⋮ A categorial approach to relativistic locality ⋮ Hilbert's 6th Problem and Axiomatic Quantum Field Theory

Cites Work

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• When are quantum systems operationally independent?
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• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Conditional expectations in von Neumann algebras and a theorem of Takesaki
• Subalgebras of \(C^ *\)-algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• ON THE INDEPENDENCE OF LOCAL ALGEBRAS IN QUANTUM FIELD THEORY

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