His primary scientific interests are in Pure mathematics, Quantum relative entropy, Quantum mechanics, Mathematical analysis and Information geometry. His research in Pure mathematics intersects with topics in Trace and Quantum state. His work carried out in the field of Quantum relative entropy brings together such families of science as Generalized relative entropy, Joint quantum entropy, Monotonic function and Von Neumann entropy.
Dénes Petz has researched Generalized relative entropy in several fields, including Conditional quantum entropy and Strong Subadditivity of Quantum Entropy. His Quantum mechanics research is multidisciplinary, incorporating elements of Fisher information and Statistical physics. His Mathematical analysis research incorporates elements of Algebra of random variables, Random function, Random element, Free convolution and Sum of normally distributed random variables.
The scientist’s investigation covers issues in Pure mathematics, Combinatorics, Discrete mathematics, Quantum relative entropy and Joint quantum entropy. The various areas that Dénes Petz examines in his Pure mathematics study include Quantum information, Quantum and Kullback–Leibler divergence. His biological study spans a wide range of topics, including Logarithmic mean, Random matrix, Eigenvalues and eigenvectors, Monotone polygon and Matrix.
Dénes Petz interconnects Quantum state, Quantum mutual information, Von Neumann entropy and Maximum entropy thermodynamics in the investigation of issues within Quantum relative entropy. His Joint quantum entropy study combines topics in areas such as Generalized relative entropy, Quantum discord, Statistical physics and Maximum entropy probability distribution. His Generalized relative entropy study incorporates themes from Entropy in thermodynamics and information theory, Mathematical analysis, Rényi entropy, Differential entropy and Strong Subadditivity of Quantum Entropy.
Dénes Petz mostly deals with Pure mathematics, Combinatorics, Matrix, Discrete mathematics and Quantum information. His study in Pure mathematics is interdisciplinary in nature, drawing from both Kullback–Leibler divergence, Diagonal, Markov property, Fisher information and Quantum relative entropy. He works mostly in the field of Fisher information, limiting it down to concerns involving Quantum discord and, occasionally, Quantum probability, Joint quantum entropy and Quantum system.
His Combinatorics study combines topics from a wide range of disciplines, such as Function, Generalized relative entropy, Functional calculus and Monotone polygon. His Discrete mathematics research incorporates themes from Logarithmic mean and Order. As part of his inquiry into Quantum mechanics and Quantum, he is doing Quantum information research.
His main research concerns Pure mathematics, Combinatorics, Fisher information, Operator and Quantum information. His Pure mathematics research is multidisciplinary, incorporating perspectives in Kullback–Leibler divergence, Monotonic function, Quantum relative entropy and Pauli exclusion principle. His research investigates the connection between Quantum relative entropy and topics such as Generalized relative entropy that intersect with issues in Joint quantum entropy.
The Fisher information study combines topics in areas such as Quantum discord, Quantum algorithm, Quantum operation and Algebra. His Operator research integrates issues from Discrete mathematics, Convex function and Monotone polygon. His Quantum information research entails a greater understanding of Quantum mechanics.
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Quantum Entropy and Its Use
雅則 大矢;Dénes Petz.
The semicircle law, free random variables, and entropy
Fumio Hiai;Dénes Petz.
Quantum Information Theory and Quantum Statistics
Monotone metrics on matrix spaces
Linear Algebra and its Applications (1996)
The Proper Formula for Relative Entropy and its Asymptotics in Quantum Probability
Fumio Hiai;Dénes Petz.
Communications in Mathematical Physics (1991)
Structure of States Which Satisfy Strong Subadditivity of Quantum Entropy with Equality
Patrick Hayden;Richard Jozsa;Dénes Petz;Andreas Winter.
Communications in Mathematical Physics (2004)
Quasi-entropies for finite quantum systems
Reports on Mathematical Physics (1986)
Geometries of quantum states
Dénes Petz;Csaba Sudár.
Journal of Mathematical Physics (1996)
Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
Communications in Mathematical Physics (1986)
The Semicircle Law, Free Random Variables and Entropy (Mathematical Surveys & Monographs)
Fumio Hiai;Denes Petz.
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