The norm-1-property of a quantum observable

DOI10.1063/1.1566454zbMath1062.81008arXivquant-ph/0212091OpenAlexW1968657418WikidataQ62561413 ScholiaQ62561413MaRDI QIDQ4832988

Kari Ylinen, Teiko Heinonen, Sylvia Pulmannová, Juha-Pekka Pellonpää, Pekka J. Lahti

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/quant-ph/0212091

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (11)

Positive operator valued measures and Feller Markov kernels ⋮ Symmetry, reference frames, and relational quantities in quantum mechanics ⋮ Why unsharp observables? ⋮ Noise and disturbance in quantum measurement ⋮ Uniform continuity of POVMs ⋮ Covariant fuzzy observables and coarse-graining ⋮ Random positive operator valued measures ⋮ Normal covariant quantization maps ⋮ Space localization of the photon ⋮ On the notion of coexistence in quantum mechanics ⋮ On the infimum of quantum effects

Cites Work

• On Euclidean systems of covariance for massless particles
• Infima of Hilbert space effects
• Effects as functions on projective Hilbert space
• Difference posets, effects, and quantum measurements
• Coexistent observables and effects in quantum mechanics
• A theorem of Stone and von Neumann
• Are number and phase complementary observables?
• Covariant localizations in the torus and the phase observables
• Coexistence vs. functional coexistence of quantum observables

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