Modules and extremal completely positive maps
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Publication:743467
DOI10.1007/s11117-013-0231-yzbMath1310.46052OpenAlexW2116348626MaRDI QIDQ743467
Publication date: 24 September 2014
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11117-013-0231-y
extreme pointcompletely positive mapextremal rayKSGNS constructionpositive-definite kernelright module over a \(C^\ast\)-algebra
(C^*)-modules (46L08) Applications of functional analysis in probability theory and statistics (46N30) Convex sets in topological linear spaces; Choquet theory (46A55) Forms (bilinear, sesquilinear, multilinear) (47A07)
Related Items (4)
Kolmogorov decomposition of conditionally completely positive definite kernels ⋮ Conditionally positive definite kernels in Hilbert \(C^*\)-modules ⋮ Kolmogorov decompositions and extremality conditions for positive covariant kernels ⋮ Covariant KSGNS construction and quantum instruments
Cites Work
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- Extreme bosonic linear channels
- Modules, completely positive maps, and a generalized KSGNS construction
- Quantum instruments and related transformation valued functions
- Extremal structure of convex sets
- 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
- A note on infinite extreme correlation matrices
- Completely positive linear maps on complex matrices
- Type I product systems of Hilbert modules
- Positive sesquilinear form measures and generalized eigenvalue expansions
- Diagonalization and representation results for nonpositive sesquilinear form measures
- Subalgebras of \(C^ *\)-algebras
- An operational approach to quantum probability
- Phase observables, phase operators and operator orderings
- Extremal quantum protocols
- Murphy's ``Positive definite kernels and Hilbert C*-modules reorganized
- How Continuous Quantum Measurements in Finite Dimensions Are Actually Discrete
- The Mathematical Language of Quantum Theory
- Realization schemes for quantum instruments in finite dimensions
- A Note on Extreme Correlation Matrices
- Positive definite kernels and Hilbert C*-modules
- Evolution in quantum causal histories
- Radon–Nikodym derivatives of quantum instruments
- TENSOR PRODUCT SYSTEMS OF HILBERT MODULES AND DILATIONS OF COMPLETELY POSITIVE SEMIGROUPS
- EXTREMAL DECISION RULES IN QUANTUM HYPOTHESIS TESTING
- Radon–Nikodym derivatives of quantum operations
- Completely positive module maps and completely positive extreme maps
- The Quantum Theory of Measurement
- Quantum instruments: I. Extreme instruments
- Barycentric decomposition of quantum measurements in finite dimensions
- Classical randomness in quantum measurements
- Positive Functions on C ∗ -Algebras
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