Sharp and unsharp quantum effects

DOI10.1006/aama.1997.0575zbMath0913.46062OpenAlexW2016299318MaRDI QIDQ1271888

Stanley P. Gudder

Publication date: 7 June 1999

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aama.1997.0575

zbMATH Keywords

GL-spaceclassical and quantum measurement theorycontractive positive linear operatorsfuzzy theory based upon non-repeatable operationssharp theory based upon repeatable operationstensor products of effect algebras

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Applications of functional analysis in quantum physics (46N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (8)

The geometry of discrete \(L\)-algebras ⋮ Contexts in Convex and Sequential Effect Algebras ⋮ Interval topology on effect algebras ⋮ A note on many valued quantum computational logics ⋮ Coexistency on Hilbert space effect algebras and a characterisation of its symmetry transformations ⋮ Contexts in quantum measurement theory ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ L-algebras and topology

Cites Work

• Effect algebras and unsharp quantum logics.
• Infima of Hilbert space effects
• Difference posets, effects, and quantum measurements
• Chain tensor products and interval effect algebras
• Semi-orthoposets
• Quotients of partial abelian monoids
• Probability measures of fuzzy events
• Tensor Product of Difference Posets
• Lattice properties of quantum effects
• Fuzzy sets
• Order Properties of Bounded Self-Adjoint Operators
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