Sharp and fuzzy observables on effect algebras
From MaRDI portal
Publication:2426158
DOI10.1007/s10773-007-9396-0zbMath1139.81006arXivmath-ph/0701032OpenAlexW3105398220MaRDI QIDQ2426158
Sylvia Pulmannová, Anna Jenčová, Elena Vinceková
Publication date: 21 April 2008
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0701032
Vector-valued set functions, measures and integrals (28B05) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)
Related Items
Minimal sufficient statistical experiments on von Neumann algebras, Positive operator valued measures and Feller Markov kernels, Sharp and unsharp observables on \(\sigma \)-MV algebras -- a comparison with the Hilbert space approach, Minimal sufficient positive-operator valued measure on a separable Hilbert space, Construction of the least informative observable conserved by a given quantum instrument, Smearing of observables and spectral measures on quantum structures, Compatibility of observables on effect algebras, Unsharpness, Naimark theorem and informational equivalence of quantum observables, Fuzzy observables: from weak Markov kernels to Markov kernels, Optimal quantum observables, Observables on quantum structures, Interval topology on effect algebras, Unnamed Item, Quantum incompatibility of channels with general outcome operator algebras, Notes on deterministic programming of quantum observables and channels, On orders of observables on effect algebras, Topologies on quantum effects, The spectrum of the sum of observables on \(\sigma\)-complete MV-effect algebras, How sharp are PV measures, Quantum observables and effect algebras, Observables on synaptic algebras, Characterizations of commutative POV measures, Functions of bounded variation on effect algebras, Classical and nonclassical randomness in quantum measurements, Compatibility properties of extreme quantum observables, A resource theory of quantum measurements, Infinite dimensionality of the post-processing order of measurements on a general state space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Effect algebras and unsharp quantum logics.
- Mathematical theory of statistics. Statistical experiments and asymptotic decision theory
- Orthomodular structures as quantum logics. Transl. from the Slovak
- Triangular norm-based measures and their Markov kernel representation
- On fuzzy random variables and statistical maps
- Tensor products and the Loomis-Sikorski theorem for MV-algebras
- Difference posets, effects, and quantum measurements
- Moment problem for effect algebras
- Optimal measurements in quantum mechanics
- Coherent states, wavelets and their generalizations
- Covariant fuzzy observables and coarse-graining
- Algebraic Analysis of Many Valued Logics
- Partial order of quantum effects
- The Quantum Theory of Measurement
- Lattice properties of quantum effects
- Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics