D
Dénes Petz
Researcher at Budapest University of Technology and Economics
Publications - 185
Citations - 10830
Dénes Petz is an academic researcher from Budapest University of Technology and Economics. The author has contributed to research in topics: Von Neumann entropy & Quantum discord. The author has an hindex of 43, co-authored 185 publications receiving 9869 citations. Previous affiliations of Dénes Petz include Hungarian Academy of Sciences & Katholieke Universiteit Leuven.
Papers
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Book
Quantum Entropy and Its Use
雅則 大矢,Dénes Petz +1 more
TL;DR: In this article, the authors introduce fundamental concepts for Entropies for Finite Quantum Systems and postulates for Entropy and Relative Entropy for General Quantum Systems, as well as Modular Theory and Auxiliaries.
Book
The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys & Monographs)
Fumio Hiai,Dénes Petz +1 more
Book
Quantum Information Theory and Quantum Statistics
TL;DR: In this paper, the authors propose an auxiliary linear and convex analysis for linear and convex analysis of information quantities in quantum mechanics, including channels and their capacity, and coarse-grainings.
Book
The semicircle law, free random variables, and entropy
Fumio Hiai,Dénes Petz +1 more
TL;DR: In this paper, the free relation between probability laws and non-commutative random variables has been studied in the context of analytic function theory and infinitely divisible laws for random matrices and asymptotically free relation.
Journal ArticleDOI
The Proper Formula for Relative Entropy and its Asymptotics in Quantum Probability
Fumio Hiai,Dénes Petz +1 more
TL;DR: Umegaki's relative entropyS(ω,ϕ)=TrDω(logDω−logDϕ) (of states ω and ϕ with density operatorsDω andD ϕ, respectively) is shown to be an asymptotic exponent considered from the quantum hypothesis testing viewpoint.