Characterization of informational completeness for covariant phase space observables

DOI10.1063/1.4754278zbMath1286.81129arXiv1204.3188OpenAlexW2061829055WikidataQ62124809 ScholiaQ62124809MaRDI QIDQ2872307

Jussi Schultz, Jukka Kiukas, Reinhard F. Werner, Pekka J. Lahti

Publication date: 14 January 2014

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

Full work available at URL: https://arxiv.org/abs/1204.3188

Mathematics Subject Classification ID

Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Vector-valued measures and integration (46G10) Ordered normed spaces (46B40) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (9)

Optimal quantum observables ⋮ Quantum harmonic analysis on locally compact groups ⋮ Convolutions for Berezin quantization and Berezin-Lieb inequalities ⋮ Zeros of the Wigner distribution and the short-time Fourier transform ⋮ A Wiener Tauberian theorem for operators and functions ⋮ Mixed-state localization operators: Cohen's class and trace class operators ⋮ Convolutions for localization operators ⋮ Aspects of the quantum-classical connection based on statistical maps ⋮ Quantum harmonic analysis on lattices and Gabor multipliers

Cites Work

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• Wiener's `closure of translates' problem and Piatetski-Shapiro's uniqueness phenomenon
• Covariant measurements and uncertainty relations
• Information-theoretical aspects of quantum measurement
• Perspectives: Quantum mechanics on phase space
• Les potentiels d'energie finie
• On a closure problem
• Quantum harmonic analysis on phase space
• Quantum and classical tomography with equidistant reference angles
• On informational completeness of covariant localization observables and Wigner coefficients
• PROBABILITY STRUCTURES FOR QUANTUM STATE SPACES
• Spans of translates in L^p(G)
• The Span of the Translations of a Function in a Lebesgue Space
• Tauberian theorems

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