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Dénes Petz (1953–2018) was a Hungarian
mathematical physicist Mathematical physics is the development of mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of ...
and quantum information theorist. He is well known for his work on quantum entropy inequalities and equality conditions, quantum
f-divergence In probability theory, an f-divergence is a certain type of function D_f(P\, Q) that measures the difference between two probability distributions P and Q. Many common divergences, such as KL-divergence, Hellinger distance, and total variation ...
s, sufficiency in quantum
statistical inference Statistical inference is the process of using data analysis to infer properties of an underlying probability distribution.Upton, G., Cook, I. (2008) ''Oxford Dictionary of Statistics'', OUP. . Inferential statistical analysis infers properties of ...
,
quantum Fisher information The quantum Fisher information is a central quantity in quantum metrology and is the quantum analogue of the classical Fisher information. It is one of the central quantities used to qualify the utility of an input state, especially in Mach–Zehnd ...
, and the related concept of monotone metrics in quantum
information geometry Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It studies statistical manifolds, which are Riemannian manifolds whose points correspond to proba ...
. 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 Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information refers to both t ...
. He has also coauthored a book in the area of mathematical physics.


Personal life

He was born in
Budapest Budapest is the Capital city, capital and List of cities and towns of Hungary, most populous city of Hungary. It is the List of cities in the European Union by population within city limits, tenth-largest city in the European Union by popul ...
,
Hungary Hungary is a landlocked country in Central Europe. Spanning much of the Pannonian Basin, Carpathian Basin, it is bordered by Slovakia to the north, Ukraine to the northeast, Romania to the east and southeast, Serbia to the south, Croatia and ...
, on April 8, 1953.


Education

He received the M.Sc. degree in mathematics from the
Eötvös Loránd University Eötvös Loránd University (, ELTE, also known as ''University of Budapest'') is a Hungarian public research university based in Budapest. Founded in 1635, ELTE is one of the largest and most prestigious public higher education institutions in ...
,
Budapest Budapest is the Capital city, capital and List of cities and towns of Hungary, most populous city of Hungary. It is the List of cities in the European Union by population within city limits, tenth-largest city in the European Union by popul ...
,
Hungary Hungary is a landlocked country in Central Europe. Spanning much of the Pannonian Basin, Carpathian Basin, it is bordered by Slovakia to the north, Ukraine to the northeast, Romania to the east and southeast, Serbia to the south, Croatia and ...
, in 1977 and the Ph.D. degree in mathematics from the
Eötvös Loránd University Eötvös Loránd University (, ELTE, also known as ''University of Budapest'') is a Hungarian public research university based in Budapest. Founded in 1635, ELTE is one of the largest and most prestigious public higher education institutions in ...
,
Budapest Budapest is the Capital city, capital and List of cities and towns of Hungary, most populous city of Hungary. It is the List of cities in the European Union by population within city limits, tenth-largest city in the European Union by popul ...
,
Hungary Hungary is a landlocked country in Central Europe. Spanning much of the Pannonian Basin, Carpathian Basin, it is bordered by Slovakia to the north, Ukraine to the northeast, Romania to the east and southeast, Serbia to the south, Croatia and ...
, in 1979. In 1982, he received the qualification "Candidate of the Mathematical Sciences" from the
Hungarian Academy of Sciences The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...
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 The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...
with the thesis "Stochastical Aspects of Operator Algebras."


Career

From 1982-1989, he was a researcher at the
Alfréd Rényi Institute of Mathematics The Alfréd Rényi Institute of Mathematics () is the research institute in mathematics of the Hungarian Academy of Sciences. It was created in 1950 by Alfréd Rényi, who directed it until his death. Since its creation, the institute has been th ...
of the
Hungarian Academy of Science The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...
of the
Hungarian Academy of Sciences The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...
. From 1990-1995, he was the head of Section for Functional Analysis at the
Alfréd Rényi Institute of Mathematics The Alfréd Rényi Institute of Mathematics () is the research institute in mathematics of the Hungarian Academy of Sciences. It was created in 1950 by Alfréd Rényi, who directed it until his death. Since its creation, the institute has been th ...
of the
Hungarian Academy of Sciences The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...
. From 1992 until his death, he was full professor of mathematics at the
Budapest University of Technology and Economics The Budapest University of Technology and Economics ( or in short ), official abbreviation BME, is a public research university located in Budapest, Hungary. It is the most significant university of technology in the country and is considered ...
. From 1996-1999 and 2002-2006, he was chair of the Department for Mathematical Analysis at the
Budapest University of Technology and Economics The Budapest University of Technology and Economics ( or in short ), official abbreviation BME, is a public research university located in Budapest, Hungary. It is the most significant university of technology in the country and is considered ...
. From 1996-2004, he was vice director of the Mathematical Institute of the
Budapest University of Technology and Economics The Budapest University of Technology and Economics ( or in short ), official abbreviation BME, is a public research university located in Budapest, Hungary. It is the most significant university of technology in the country and is considered ...
. From 1998-2002, he was vice dean of the Faculty of Natural Sciences of the
Budapest University of Technology and Economics The Budapest University of Technology and Economics ( or in short ), official abbreviation BME, is a public research university located in Budapest, Hungary. It is the most significant university of technology in the country and is considered ...
. From 2004 until his death, he was research professor at the
Alfréd Rényi Institute of Mathematics The Alfréd Rényi Institute of Mathematics () is the research institute in mathematics of the Hungarian Academy of Sciences. It was created in 1950 by Alfréd Rényi, who directed it until his death. Since its creation, the institute has been th ...
of the
Hungarian Academy of Sciences The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...
. From 2008 until his death, he was professor of mathematics at the
Eötvös Loránd University Eötvös Loránd University (, ELTE, also known as ''University of Budapest'') is a Hungarian public research university based in Budapest. Founded in 1635, ELTE is one of the largest and most prestigious public higher education institutions in ...
. From 1992 until his death, he was an Editor of the journal
Open Systems & Information Dynamics ''Open Systems & Information Dynamics'' (OSID) is a journal published by World Scientific. It covers interdisciplinary research in mathematics, physics, engineering and life sciences based upon the fields of information processing, storage and tra ...
.


Honors

* 2013: Officer's Cross of the Order of Merit of the Republic of Hungary * 2009:
Albert Szent-Györgyi Albert Imre Szent-Györgyi de Rapoltu Mare, Nagyrápolt (; September 16, 1893 – October 22, 1986) was a Hungarian biochemist who won the Nobel Prize in Physiology or Medicine in 1937. He is credited with first isolating vitamin C and disc ...
Prize of the Ministry of Education * 2008: Research Prize of the
Hungarian Academy of Sciences The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...
* 1997-2001: Széchenyi Professorship * 1998: Farkas Bolyai Prize of the
Hungarian Academy of Sciences The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...
* 1997: Canon Fellow at the
Tokyo University of Science , formerly "Science University of Tokyo" or TUS, informally or simply is a private research university located in Shinjuku, Tokyo, Japan. History Tokyo University of Science was founded in 1881 as The Tokyo Academy of Physics by 21 graduate ...
(Japan) * 1988: Prize for Young Scientists awarded by the
Hungarian Academy of Sciences The Hungarian Academy of Sciences ( , MTA) is Hungary’s foremost and most prestigious learned society. Its headquarters are located along the banks of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. The Academy's primar ...
* 1985-86:
Alexander von Humboldt Friedrich Wilhelm Heinrich Alexander von Humboldt (14 September 1769 – 6 May 1859) was a German polymath, geographer, natural history, naturalist, List of explorers, explorer, and proponent of Romanticism, Romantic philosophy and Romanticism ...
Fellowship * 1982: Géza Grünwald Memorial Prize awarded by the
János Bolyai János Bolyai (; ; 15 December 1802 – 27 January 1860) or Johann Bolyai, was a Hungarian mathematician who developed absolute geometry—a geometry that includes both Euclidean geometry and hyperbolic geometry. The discovery of a consist ...
Mathematical Society of Hungary


See also

* quantum entropy *
quantum information theory Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information refers to both t ...
* quantum
information geometry Information geometry is an interdisciplinary field that applies the techniques of differential geometry to study probability theory and statistics. It studies statistical manifolds, which are Riemannian manifolds whose points correspond to proba ...
* Rényi relative entropy *
quantum Fisher information The quantum Fisher information is a central quantity in quantum metrology and is the quantum analogue of the classical Fisher information. It is one of the central quantities used to qualify the utility of an input state, especially in Mach–Zehnd ...


References


External links


In Memory of Professor Dénes Petz

Personal website of Dénes Petz

Google Scholar page of Dénes Petz

Seminar on Denes Petz's legacy in quantum information theory

The Mathematics Genealogy Project
{{DEFAULTSORT:Petz, Dénes Eötvös Loránd University alumni Academic staff of the Budapest University of Technology and Economics 1953 births 2018 deaths Scientists from Budapest