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Mary Beth Ruskai
Mary Beth Ruskai (February 26, 1944 – September 27, 2023) was an American mathematical physicist and professor of mathematics with interest in mathematical problems in quantum physics. She was a Fellow of the AAAS, AMS, APS, and AWM. Education Ruskai was the daughter of Michael J. Ruskai and Evelyn M. Ruskai (née Gortz). She had three sisters. She graduated from Notre Dame College in Cleveland, Ohio in 1965 with a BS in chemistry. She simultaneously received her M.A. in mathematics and her Ph.D. in physical chemistry from the University of Wisconsin–Madison in 1969. Her PhD thesis was about the '' N-Representability Problem''. Career She was the Battelle postdoctoral fellow in mathematical physics at the Institut de Physique Theorique in Geneva Switzerland from 1969 to 1971. She spent most of her career at the University of Massachusetts Lowell, where she was on the faculty from 1977 until she took early retirement in 2002. From 2003 to 2013 she was based at Tufts Universit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Physics
Quantum mechanics is the fundamental physical Scientific theory, theory that describes the behavior of matter and of light; its unusual characteristics typically occur at and below the scale of atoms. Reprinted, Addison-Wesley, 1989, It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science. Quantum mechanics can describe many systems that classical physics cannot. Classical physics can describe many aspects of nature at an ordinary (macroscopic and Microscopic scale, (optical) microscopic) scale, but is not sufficient for describing them at very small submicroscopic (atomic and subatomic) scales. Classical mechanics can be derived from quantum mechanics as an approximation that is valid at ordinary scales. Quantum systems have Bound state, bound states that are Quantization (physics), quantized to Discrete mathematics, discrete values of energy, momentum, angular momentum, and ot ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rockefeller University
The Rockefeller University is a Private university, private Medical research, biomedical Research university, research and graduate-only university in New York City, New York. It focuses primarily on the biological and medical sciences and provides doctoral and postdoctoral education. It is Carnegie Classification of Institutions of Higher Education, classified as a "Special Focus – Research Institution". Rockefeller is the oldest biomedical research institute in the United States. The university is located on the Upper East Side of Manhattan, between 63rd and 68th streets on York Avenue / Sutton Place, York Avenue. Richard P. Lifton became the university's eleventh president on September 1, 2016. The Rockefeller University Press publishes the ''Journal of Experimental Medicine'', the ''Journal of Cell Biology'', and ''The Journal of General Physiology''. In 2018, the faculty included 82 tenured and tenure-track members, including 37 members of the National Academy of Scienc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Information
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 the technical definition in terms of Von Neumann entropy and the general computational term. It is an interdisciplinary field that involves quantum mechanics, computer science, information theory, philosophy and cryptography among other fields. Its study is also relevant to disciplines such as cognitive science, psychology and neuroscience. Its main focus is in extracting information from matter at the microscopic scale. Observation in science is one of the most important ways of acquiring information and measurement is required in order to quantify the observation, making this crucial to the scientific method. In quantum mechanics, due to the uncertainty principle, non-commuting observables cannot be precisely measured simultaneously, as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ingrid Daubechies
Baroness Ingrid Daubechies ( ; ; born 17 August 1954) is a Belgian-American physicist and mathematician. She is best known for her work with wavelets in image compression. Daubechies is recognized for her study of the mathematical methods that enhance image-compression technology. She is a member of the National Academy of Engineering, the National Academy of Sciences and the American Academy of Arts and Sciences. She is a 1992 MacArthur Fellow. She also served on the Mathematical Sciences jury for the Infosys Prize from 2011 to 2013. The name Daubechies is widely associated with the orthogonal Daubechies wavelet and the biorthogonal CDF wavelet. A wavelet from this family of wavelets is now used in the JPEG 2000 standard. Her research involves the use of automatic methods from both mathematics, technology, and biology to extract information from samples such as bones and teeth. She also developed sophisticated image processing techniques used to help establish the authenti ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wavelet
A wavelet is a wave-like oscillation with an amplitude that begins at zero, increases or decreases, and then returns to zero one or more times. Wavelets are termed a "brief oscillation". A taxonomy of wavelets has been established, based on the number and direction of its pulses. Wavelets are imbued with specific properties that make them useful for signal processing. For example, a wavelet could be created to have a frequency of middle C and a short duration of roughly one tenth of a second. If this wavelet were to be convolved with a signal created from the recording of a melody, then the resulting signal would be useful for determining when the middle C note appeared in the song. Mathematically, a wavelet correlates with a signal if a portion of the signal is similar. Correlation is at the core of many practical wavelet applications. As a mathematical tool, wavelets can be used to extract information from many kinds of data, including audio signals and images. Sets of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Information
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 the technical definition in terms of Von Neumann entropy and the general computational term. It is an interdisciplinary field that involves quantum mechanics, computer science, information theory, philosophy and cryptography among other fields. Its study is also relevant to disciplines such as cognitive science, psychology and neuroscience. Its main focus is in extracting information from matter at the microscopic scale. Observation in science is one of the most important ways of acquiring information and measurement is required in order to quantify the observation, making this crucial to the scientific method. In quantum mechanics, due to the uncertainty principle, non-commuting observables cannot be precisely measured simultaneously, as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Strong Subadditivity Of Quantum Entropy
In quantum information theory, strong subadditivity of quantum entropy (SSA) is the relation among the von Neumann entropies of various quantum subsystems of a larger quantum system consisting of three subsystems (or of one quantum system with three degrees of freedom). It is a basic theorem in modern quantum information theory. It was conjectured by D. W. Robinson and D. Ruelle in 1966 and O. E. Lanford III and D. W. Robinson in 1968 and proved in 1973 by E.H. Lieb and M.B. Ruskai, building on results obtained by Lieb in his proof of the Wigner-Yanase-Dyson conjecture. The classical version of SSA was long known and appreciated in classical probability theory and information theory. The proof of this relation in the classical case is quite easy, but the quantum case is difficult because of the non-commutativity of the reduced density matrices describing the quantum subsystems. Some useful references here include: *"Quantum Computation and Quantum Information" *"Quantum Entr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Case Western Reserve University
Case Western Reserve University (CWRU) is a Private university, private research university in Cleveland, Ohio, United States. It was established in 1967 by a merger between Western Reserve University and the Case Institute of Technology. Case Western Reserve University comprises eight schools that offer more than 100 undergraduate programs and about 160 graduate and professional options across fields in STEM, medicine, arts, and the humanities. In 2024, the university enrolled 12,475 students (6,528 undergraduate plus 5,947 graduate and professional) from all 50 states and 106 countries and employed more than 1,182 full-time faculty members. The university's athletic teams, Case Western Reserve Spartans, play in NCAA Division III as a founding member of the University Athletic Association. Case Western Reserve University is a member of the Association of American Universities and is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Univ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dublin Institute Of Technology
Dublin Institute of Technology (DIT, ) was a major third-level institution in Dublin, Ireland. On 1 January 2019 DIT was dissolved and its functions were transferred to the Technological University Dublin, as TU Dublin City Campus. The institution began with the establishment of the first technical education institution in Ireland, in 1887, and progressed through various legal and governance models, culminating in autonomy under a statute of 1992. DIT was recognised particularly for degree programmes in Product Design, Mechanical Engineering, Architecture, Engineering, Science, Marketing, Hospitality, Music, Optometry, Pharmaceuticals, Construction, Digital Media and Journalism. It was ranked, in 2014, in Times Higher Education's top 100 university-level institutions globally under 50 years old. Alumni of the Dublin Institute of Technology include a number of Irish writers, artists, politicians and business leaders as well as international figures in the fields of arts, arc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Technische Universität Berlin
(TU Berlin; also known as Berlin Institute of Technology and Technical University of Berlin, although officially the name should not be translated) is a public university, public research university located in Berlin, Germany. It was the first German university to adopt the name "Technische Universität" (university of technology). The university alumni and staff includes several United States National Academies, US National Academies members, two National Medal of Science laureates, the creator of the first fully functional programmable (electromechanical) computer, Konrad Zuse, and ten Nobel Prize laureates. TU Berlin is a member of TU9, an incorporated society of the largest and most notable German institutes of technology and of the Top International Managers in Engineering network, which allows for student exchanges between leading engineering schools. It belongs to the Conference of European Schools for Advanced Engineering Education and Research. The TU Berlin is home of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Georgia Tech
The Georgia Institute of Technology (commonly referred to as Georgia Tech, GT, and simply Tech or the Institute) is a public research university and institute of technology in Atlanta, Georgia, United States. Established in 1885, it has the largest student enrollment of the University System of Georgia institutions and satellite campuses in Savannah, Georgia, and Metz, France. The school was founded as the Georgia School of Technology as part of Reconstruction efforts to build an industrial economy in the Southern United States after the Civil War. Initially, it offered only a degree in mechanical engineering. By 1901, its curriculum had expanded to include electrical, civil, and chemical engineering. In 1948, the school changed its name to reflect its evolution from a trade school to a technical institute and research university. Georgia Tech is organized into seven colleges with about 31 departments and academic units. It emphasizes the academic fields of science and tech ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
