Dénes Petz

Dénes Petz
BornApril 8, 1953
Budapest, Hungary
DiedFebruary 6, 2018
Budapest, Hungary
NationalityHungarian
CitizenshipHungarian
Alma mater
Known forQuantum Stein's lemma

Petz recovery map

monotone metric

typical subspace theorem

variational formula for the quantum relative entropy
AwardsAlbert Szent-Gyorgyi Prize (2009), Officer’s Cross of the Hungarian Order of Merit (2013)
Scientific career
Fieldsmathematical physics, quantum information, free probability, operator algebras, matrix analysis
InstitutionsBudapest University of Technology and Economics, Alfréd Rényi Institute of Mathematics, Eötvös Loránd University

Dénes Petz (1953–2018) was a Hungarian mathematical physicist and quantum information theorist. He is well known for his work on quantum entropy inequalities and equality conditions, quantum f-divergences, sufficiency in quantum statistical inference, quantum Fisher information, and the related concept of monotone metrics in quantum information geometry. He proposed the first quantum generalization of Rényi relative entropy and established its data processing inequality.

He has written or coauthored several textbooks which have been widely read by experts in quantum information theory.[1] [2] He has also coauthored a book in the area of mathematical physics.[3]

Personal life

He was born in Budapest, Hungary, on April 8, 1953.

Education

He received the M.Sc. degree in mathematics from the Eötvös Loránd University, Budapest, Hungary, in 1977 and the Ph.D. degree in mathematics from the Eötvös Loránd University, Budapest, Hungary, in 1979. In 1982, he received the qualification "Candidate of the Mathematical Sciences" from the Hungarian Academy of Sciences with the thesis "Reduction Theory of Operator Algebras," and in 1989, he received the qualification "Doctor of the Mathematical Sciences" from the Hungarian Academy of Sciences with the thesis "Stochastical Aspects of Operator Algebras."

Career

From 1982-1989, he was a researcher at the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Science of the Hungarian Academy of Sciences. From 1990-1995, he was the head of Section for Functional Analysis at the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences. From 1992 until his death, he was full professor of mathematics at the Budapest University of Technology and Economics. From 1996-1999 and 2002-2006, he was chair of the Department for Mathematical Analysis at the Budapest University of Technology and Economics. From 1996-2004, he was vice director of the Mathematical Institute of the Budapest University of Technology and Economics. From 1998-2002, he was vice dean of the Faculty of Natural Sciences of the Budapest University of Technology and Economics. From 2004 until his death, he was research professor at the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences. From 2008 until his death, he was professor of mathematics at the Eötvös Loránd University.

From 1992 until his death, he was an Editor of the journal Open Systems & Information Dynamics.

Honors

See also

References

  1. ^ Masanori Ohya and Dénes Petz (1993). Quantum Entropy and Its Use. Springer-Verlag. ISBN 978-3-540-20806-8.
  2. ^ Dénes Petz (2008). Quantum information theory and quantum statistics. Springer. ISBN 978-3-540-74636-2.
  3. ^ Fumio Hiai and Dénes Petz (2000). The semicircle law, free random variables and entropy. American Mathematical Society. ISBN 978-0-8218-4135-8.