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Uncertainty Relation for the Wigner-Yanase Skew Information and Quantum Sobolev Inequalities (2508.15554v1)
Published 21 Aug 2025 in math-ph, math.FA, math.MP, and quant-ph
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.
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