Uncertainty Relation for the Wigner-Yanase Skew Information and Quantum Sobolev Inequalities
Mathematical Physics
2025-08-22 v1 Functional Analysis
math.MP
Quantum Physics
Abstract
This note explores uncertainty inequalities for quantum analogues of the Fisher information including the Wigner-Yanase skew information, and their connection to the quantum Sobolev inequalities proved by the author in [Journal of Functional Analysis, 286 (10) 2024]. Some additional inequalities concerning commutators are derived and others are left as open problems.
Keywords
Cite
@article{arxiv.2508.15554,
title = {Uncertainty Relation for the Wigner-Yanase Skew Information and Quantum Sobolev Inequalities},
author = {Laurent Lafleche},
journal= {arXiv preprint arXiv:2508.15554},
year = {2025}
}
Comments
8 pages. Submitted to the book of extended abstract of the book series "Research Perspectives Ghent Analysis and PDE Center", part of the Springer/Birkh\"auser Trends in Mathematics series