174 citations · 243 across the 17 of their papers we have counts for
17 papers
Hockey stick -divergences
Fumio Hiai, Milán Mosonyi, Marco Tomamichel
In this paper we give a systematic and unified treatment and extensions of various results on a new notion of quantum -divergences defined from quantum hockey stick divergences,…
Log-majorizations between quasi-geometric type means for matrices
Fumio Hiai
In this paper, for , and positive semidefinite matrices and , we consider the quasi-extension $\mathcal{M}_{α,p}(A,B):=\mathcal{M}_α(A^p,…
Various inequalities between quasi-arithmetic mean and quasi-geometric type means for matrices
Fumio Hiai
In this paper, for , and positive semidefinite matrices , we consider the quasi-extension of the -weighted…
--Rényi divergences in von Neumann algebras: data-processing inequality, reversibility, and monotonicity properties in
Fumio Hiai, Anna Jenčová
We study the --Rényi divergences where () for normal positive functionals on general von Neumann algebras, introduced in [S.~Kato and Y.~…
Log-majorization and matrix norm inequalities with application to quantum information
Fumio Hiai
We are concerned with log-majorization for matrices in connection with the multivariate Golden--Thompson trace inequality and the Karcher mean (i.e., a multivariate extension of th…
Equality cases in monotonicity of quasi-entropies, Lieb's concavity and Ando's convexity
Fumio Hiai
We revisit and improve joint concavity/convexity and monotonicity properties of quasi-entropies due to Petz in a new fashion. Then we characterize equality cases in the monotonicit…