scientific article; zbMATH DE number 2172846

zbMath1071.81014MaRDI QIDQ4680242

Kari Ylinen, Pekka J. Lahti

Publication date: 7 June 2005

Full work available at URL: https://eudml.org/doc/34593

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

dilationoperator measurecanonical phase observableoperator bimeasure

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Quantum measurement theory, state operations, state preparations (81P15)

Related Items

Notes on coarse grainings and functions of observables, Positive sesquilinear form measures and generalized eigenvalue expansions, Application of noise sequences of infinite matrices in the theory of quantum observables, Compatibility of observables on effect algebras, Optimal quantum observables, Noise and disturbance in quantum measurement, Notes on deterministic programming of quantum observables and channels, Minimal normal measurement models of quantum instruments, On the notion of coexistence in quantum mechanics, Compatibility properties of extreme quantum observables

Cites Work

• 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
• On the existence of product stochastic measures
• On vector bimeasures
• The moment operators of phase space observables and their number margins
• Phase operator problem and macroscopic extension of quantum mechanics
• Positive operator measures determined by their moment sequences
• Tensor product of a finite number of spectral measures is always a spectral measure
• An operational approach to quantum probability
• Integration with respect to vector measures
• On the extension of bimeasures
• Phase space observables and isotypic spaces
• Covariant phase observables in quantum mechanics
• Coexistent observables and effects in a convexity approach
• Operator integrals and phase space observables
• Square-integrability modulo a subgroup
• Covariant localizations in the torus and the phase observables
• Positive operator bimeasures and a noncommutative generalization
• Canonically Conjugate Pairs, Uncertainty Relations, and Phase Operators
• Remarks on the compactness and non direct products of measures
• Positive Functions on C ∗ -Algebras
• Coexistence vs. functional coexistence of quantum observables
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