|
Dénes Petz
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. He has also coauthored a book in the area of mathematical physics. 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 qualificatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 population within city limits and the List of cities and towns on the river Danube, second-largest city on the river Danube. The estimated population of the city in 2025 is 1,782,240. This includes the city's population and surrounding suburban areas, over a land area of about . Budapest, which is both a List of cities and towns of Hungary, city and Counties of Hungary, municipality, forms the centre of the Budapest metropolitan area, which has an area of and a population of 3,019,479. It is a primate city, constituting 33% of the population of Hungary. The history of Budapest began when an early Celts, Celtic settlement transformed into the Ancient Rome, Roman town of Aquincum, the capital of Pannonia Inferior, Lower Pannonia. The Hungarian p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Entropy
In physics, the von Neumann entropy, named after John von Neumann, is a measure of the statistical uncertainty within a description of a quantum system. It extends the concept of Gibbs entropy from classical statistical mechanics to quantum statistical mechanics, and it is the quantum counterpart of the Shannon entropy from classical information theory. For a quantum-mechanical system described by a density matrix , the von Neumann entropy is S = - \operatorname(\rho \ln \rho), where \operatorname denotes the trace and \operatorname denotes the matrix version of the natural logarithm. If the density matrix is written in a basis of its eigenvectors , 1\rangle, , 2\rangle, , 3\rangle, \dots as \rho = \sum_j \eta_j \left, j \right\rang \left\lang j \ , then the von Neumann entropy is merely S = -\sum_j \eta_j \ln \eta_j . In this form, ''S'' can be seen as the Shannon entropy of the eigenvalues, reinterpreted as probabilities. The von Neumann entropy and quantities based upon it ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Géza Grünwald
Géza Grünwald (October 18, 1910, Budapest – September 7, 1943) was a Hungarian mathematician of Jewish heritage who worked on analysis. He died in the Holocaust. See also * Grunwald–Wang theorem In algebraic number theory, the Grunwald–Wang theorem is a local-global principle stating that—except in some precisely defined cases—an element ''x'' in a number field ''K'' is an ''n''th power in ''K'' if it is an ''n''th power in the comp ... References 20th-century Hungarian mathematicians 1910 births 1943 deaths Hungarian Jews who died in the Holocaust Hungarian civilians killed in World War II {{mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 in science, science. He was the younger brother of the Prussian minister, philosopher, and linguistics, linguist Wilhelm von Humboldt (1767–1835). Humboldt's quantitative work on botany, botanical geography laid the foundation for the field of biogeography, while his advocacy of long-term systematic geophysical measurement pioneered modern Earth's magnetic field, geomagnetic and meteorology, meteorological monitoring. Humboldt and Carl Ritter are both regarded as the founders of modern geography as they established it as an independent scientific discipline. Between 1799 and 1804, Humboldt travelled extensively in the Americas, exploring and describing them for the first time from a non-Spanish European scientific point of view. His des ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 graduates of the Department of Physics in the Faculty of Science, University of Tokyo. In 1883, it was renamed the Tokyo College of Science, and in 1949, it attained university status and became the Tokyo University of Science. The leading character appearing in Japanese novelist Soseki Natsume's novel Botchan graduated from Tokyo University of Science. , it is the only private university in Japan that has produced a Nobel Prize winner and the only private university in Asia to produce Nobel Prize winners within the natural sciences field. Academic rankings Global university rankings Academic Ranking of World Universities ranked Tokyo University of Science in equal 13th place in Japan. Graduate school rankings Eduniversal ranked Tokyo Universit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Farkas Bolyai
Farkas Bolyai (; 9 February 1775 – 20 November 1856; also known as Wolfgang Bolyai in Germany) was a Hungarian mathematician, mainly known for his work in geometry. Biography Bolyai was born in Bolya, a village near Hermannstadt, Grand Principality of Transylvania (now Buia, Sibiu County, Romania). His father was Gáspár Bolyai and his mother Krisztina Vajna. Farkas was taught at home by his father until the age of six when he was sent to the Calvinist school in Nagyszeben. His teachers recognized his talents in arithmetics and in learning languages. He learned Latin, Greek, Romanian, Hebrew and later also French, Italian and English. He easily multiplied, divided 13- or 14-digit numbers in his head, and was able to draw square and cubic roots from them. At the age of 12 he left school and was appointed as a tutor to the eight-year-old son of the count Kemény. This meant that Bolyai was now treated as a member of one of the leading families in the country, and he ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 discovering many of the components and reactions of the citric acid cycle and the molecular basis of muscle contraction. He was also active in the Hungarian resistance movement, Hungarian Resistance during World War II, and entered Hungarian politics after the war. Early life Szent-Györgyi was born in Budapest, Kingdom of Hungary, on September 16, 1893. His father, Miklós Szent-Györgyi, was a landowner, born in Târgu Mureş, Marosvásárhely, Transylvania (today Târgu Mureş, Romania), a Calvinism, Calvinist, and could trace his ancestry back to 1608 when Sámuel, a Calvinist Wiktionary:predicant, predicant, was ennobled. At the time of Szent-Györgyi's birth, being of the nobility was considered important and created opportunities that o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 transmission, in both quantum and classical settings, with a theoretical focus. Topics include quantum information theory, open systems, decoherence, complexity theory of classical and quantum systems and other models of information processing. Abstracting and indexing The journal is abstracted and indexed in: * COMPUMATH Citation Index * Current Contents/Engineering, Computing and Technology * Current Contents/Physical, Chemical and Earth Sciences * Inspec * ISI Alerting Services * MATH * Science Citation Index Expanded (also known as SciSearch) * Statistical Theory and Method Abstracts * Zentralblatt MATH zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and ap ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 primary functions include the advancement of scientific knowledge, the dissemination of research findings, the support of research and development, and the representation of science in Hungary both domestically and around the world. History The origins of the Hungarian Academy of Sciences date back to 1825, when Count István Széchenyi offered one year's income from his estate to establish a ''Learned Society''. He made this offer during a session of the Diet in Pressburg (Pozsony, now Bratislava), then the seat of the Hungarian Parliament. Inspired by his gesture, other delegates soon followed suit. The Society’s mission was defined as the development of the Hungarian language and the promotion of sciences and the arts in the Hungarian la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rényi Entropy
In information theory, the Rényi entropy is a quantity that generalizes various notions of Entropy (information theory), entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The Rényi entropy is named after Alfréd Rényi, who looked for the most general way to quantify information while preserving additivity for independent events. In the context of fractal dimension estimation, the Rényi entropy forms the basis of the concept of generalized dimensions. The Rényi entropy is important in ecology and statistics as diversity indices, index of diversity. The Rényi entropy is also important in quantum information, where it can be used as a measure of Quantum entanglement, entanglement. In the Heisenberg XY spin chain model, the Rényi entropy as a function of can be calculated explicitly because it is an automorphic function with respect to a particular subgroup of the modular group. In theoretical computer science, the min-entropy is used in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 probability distributions. Introduction Historically, information geometry can be traced back to the work of C. R. Rao, who was the first to treat the Fisher matrix as a Riemannian metric. The modern theory is largely due to Shun'ichi Amari, whose work has been greatly influential on the development of the field. Classically, information geometry considered a parametrized statistical model as a Riemannian manifold, Riemannian, conjugate connection, statistical, and dually flat manifolds. Unlike usual smooth manifolds with tensor metric and Levi-Civita connection, these take into account conjugate connection, torsion, and Amari-Chentsov metric. All presented above geometric structures find application in information theory and machine lea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
