Concepedia

Fumio Hiai

FH

64

Publications

4K

Citations

32

H-Index

1977

Active since

Affiliations

Tohoku University(Current)

Ibaraki University

Hokkaido University

Alfréd Rényi Institute of Mathematics

Budapest University of Technology and Economics

Fumio Hiai is an author at Tohoku University specializing in engineering, functional analysis, and probability theory.

Top concepts

EngineeringFunctional AnalysisProbabilitySpectral TheoryEntropyQuantum EntanglementQuantum ScienceQuantum ComputingStochastic CalculusRepresentation Theory

Publications per year

1977–2023

64

Publications

64

Integrals, conditional expectations, and martingales of multivalued functions

Fumio Hiai, Hisaharu Umegaki · Journal of Multivariate Analysis · 1977 · 707 citations

Integrable Probability, Stochastic Calculus, Probability Theory +2

The proper formula for relative entropy and its asymptotics in quantum probability

Fumio Hiai, Dėnes Petz · Communications in Mathematical Physics · 1991 · 512 citations

Engineering, Information Theory, Quantum Probability +8

Log majorization and complementary Golden-Thompson type inequalities

Tsuyoshi Andô, Fumio Hiai · Linear Algebra and its Applications · 1994 · 238 citations

Mathematical Programming, Lower Bound, Log Majorization +3

On the Quantum Rényi Relative Entropies and Related Capacity Formulas

Milán Mosonyi, Fumio Hiai · IEEE Transactions on Information Theory · 2011 · 133 citations · Full text

Spectral Theory, Generalized Cutoff Rates, Engineering +18

The Golden-Thompson trace inequality is complemented

Fumio Hiai, Dėnes Petz · Linear Algebra and its Applications · 1993 · 131 citations

Variational Inequality, Golden-thompson Trace Inequality, Functional Analysis

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