The structure of decoherence functionals for von Neumann quantum histories

DOI10.1063/1.531268zbMath0870.46043OpenAlexW2022054230MaRDI QIDQ4873441

J. D. Maitland Wright

Publication date: 11 September 1997

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

Full work available at URL: https://doi.org/10.1063/1.531268

zbMATH Keywords

decoherence functionalsextension-type theoremsGleason measureHaagerup-Pisier-Grothendieck inequalityMackey-Gleason problembounded bilinear functionaldirect summand of type \(I_ 2\)

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Related Items (9)

Symmetry and history quantum theory: An analog of Wigner’s theorem ⋮ Joint system quantum descriptions arising from local quantumness ⋮ On tracial operator representations of quantum decoherence functionals ⋮ Symmetries and conservation laws in histories-based theories. ⋮ Symmetries of history quantum theories and decoherence functionals ⋮ On the consistent effect histories approach to quantum mechanics ⋮ Sesquilinear forms of Jordan triple systems. ⋮ Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors ⋮ Measures on the lattice of closed inner ideals in a spin triple

Cites Work

• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• Measures on projections and physical states
• The Mackey-Gleason Problem
• The Mackey-Gleason Problem for Vector Measures on Projections in Von Neumann Algebras
• Quantum logic and the histories approach to quantum theory
• Quantum temporal logic and decoherence functionals in the histories approach to generalized quantum theory
• The classification of decoherence functionals: An analog of Gleason’s theorem

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