Barycentric decomposition of quantum measurements in finite dimensions

DOI10.1063/1.3298681zbMath1309.81018arXiv0807.4803OpenAlexW3105378724WikidataQ62040225 ScholiaQ62040225MaRDI QIDQ5246524

Dirk Schlingemann, Giulio Chiribella, Giacomo Mauro D'ariano

Publication date: 21 April 2015

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

Full work available at URL: https://arxiv.org/abs/0807.4803

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Quantum measurement theory, state operations, state preparations (81P15) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items

On Operator Valued Measures ⋮ Quantum measurements on finite dimensional systems: relabeling and mixing ⋮ Barycentric decomposition for quantum instruments ⋮ Extremal generalized quantum measurements ⋮ Positive operator-valued measures and densely defined operator-valued frames ⋮ Normal Completely Positive Maps on the Space of Quantum Operations ⋮ Modules and extremal completely positive maps ⋮ Classical and nonclassical randomness in quantum measurements ⋮ Extreme covariant quantum observables in the case of an Abelian symmetry group and a transitive value space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quantum detection and estimation theory
• Foundations of quantum mechanics and ordered linear spaces. Advanced Study Institute, Marburg 1973
• The representations of linear functionals by measures on sets of extreme points
• Statistical definition of observable and the structure of statistical models
• A Radon-Nikodym theorem for completely positive maps
• Covariant measurements and uncertainty relations
• Subalgebras of \(C^ *\)-algebras
• An operational approach to quantum probability
• Statistical Structure of Quantum Theory
• How Continuous Quantum Measurements in Finite Dimensions Are Actually Discrete
• Optical communication with two-photon coherent states--Part III: Quantum measurements realizable with photoemissive detectors
• Radon–Nikodym derivatives of quantum instruments
• EXTREMAL DECISION RULES IN QUANTUM HYPOTHESIS TESTING
• Radon–Nikodym derivatives of quantum operations
• QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS
• Classical randomness in quantum measurements
• Positive Functions on C ∗ -Algebras

This page was built for publication: Barycentric decomposition of quantum measurements in finite dimensions