Non-commutative Rényi entropic uncertainty principles

DOI10.1007/s11425-019-9523-4zbMath1480.46077arXiv1904.04292OpenAlexW2941959325MaRDI QIDQ829088

Zhengwei Liu, Jinsong Wu

Publication date: 5 May 2021

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04292

zbMATH Keywords

Fourier transformsubfactorsuncertainty principlesRényi entropy

Mathematics Subject Classification ID

Subfactors and their classification (46L37) Other transforms and operators of Fourier type (43A32)

Related Items (3)

Fusion bialgebras and Fourier analysis. Analytic obstructions for unitary categorification ⋮ Quantum Fourier analysis ⋮ Ore's theorem on subfactor planar algebras

Cites Work

• Planar para algebras, reflection positivity
• Noncommutative uncertainty principles
• Inequalities in Fourier analysis
• The planar algebra associated to a Kac algebra
• Uncertainty principles for locally compact quantum groups
• Index for subfactors
• The norm of the Fourier transform on finite abelian groups
• Possible generalization of Boltzmann-Gibbs statistics.
• Block maps and Fourier analysis
• Exchange relation planar algebras of small rank
• Entropic uncertainty relations and entanglement
• Additivity properties of a Gaussian channel
• A Note on Entropy
• Entropy and index for subfactors
• The Norm of the L p -Fourier Transform on Unimodular Groups
• A Maximum Problem in Harmonic Analysis
• Locally compact quantum groups
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