Upper continuity bounds on the relative q-entropy for q > 1

DOI10.1063/1.3600535zbMath1317.81052arXiv1010.1335OpenAlexW3104550893WikidataQ62123184 ScholiaQ62123184MaRDI QIDQ5266035

Alexey E. Rastegin

Publication date: 29 July 2015

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

Full work available at URL: https://arxiv.org/abs/1010.1335

zbMATH Keywords

entropy bounds

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (8)

Bounds of the Pinsker and Fannes types on the Tsallis relative entropy ⋮ On directional derivatives of trace functionals of the form \(A \mapsto \mathrm{Tr}({Pf}(A))\) ⋮ Fano type quantum inequalities in terms of \(q\)-entropies ⋮ Generalization of the Kullback-Leibler divergence in the Tsallis statistics ⋮ Notes on entropic uncertainty relations beyond the scope of Riesz's theorem ⋮ Relations for certain symmetric norms and anti-norms before and after partial trace ⋮ Upper continuity bound on the quantum quasi-relative entropy ⋮ Continuity bounds on the quantum relative entropy — II

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