Applying the theory of numerical radius of operators to obtain multi-observable quantum uncertainty relations

DOI10.1007/s10114-022-1474-yOpenAlexW4285806401WikidataQ114228352 ScholiaQ114228352MaRDI QIDQ2157573

Kan He, Jin-Chuan Hou

Publication date: 22 July 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-1474-y

zbMATH Keywords

quantum observablesnumerical radius of operatorsquantum deviationsquantum uncertainty principle

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Linear operator inequalities (47A63) Numerical range, numerical radius (47A12) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (1)

Improved bounds for the numerical radius via polar decomposition of operators

Cites Work

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• Variance-based uncertainty relations for incompatible observables
• The numerical range of \(3 \times 3\) matrices
• Sum uncertainty relation in quantum theory
• Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product
• Entropic uncertainty relations—a survey
• Continuous-variable entropic uncertainty relations
• Geometry of Quantum States
• Geometric and algebraic origins of additive uncertainty relations

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