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Paweł Horodecki
Paweł Horodecki (born in 1971) is a Polish professor of physics at the Gdańsk University of Technology working in the field of quantum information theory. He is best known for introducing (together with his father Ryszard Horodecki and brother Michał Horodecki) the Peres-Horodecki criterion for testing whether a quantum state is entangled. Moreover, Paweł Horodecki demonstrated that there exist states which are entangled whereas no pure entangled states can be obtained from them by means of local operations and classical communication (LOCC). Such states are called bound entangled states. He also showed that even bound entanglement (when used in conjunction with a single pair of free entangled particles) can lead to quantum teleportation with a fidelity impossible to achieve with only separable states. Paweł Horodecki was educated in Poland, receiving an M.Sc from the University of Gdańsk (1995) and a Ph.D (with honours) from the Gdańsk University of Technology (1999) a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Physics
Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." It is one of the most fundamental scientific disciplines. "Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gdańsk University Of Technology
The Gdańsk University of Technology (Gdańsk Tech, formerly GUT; ) is a public research university in Gdańsk, Poland. Founded in 1904 and re-established in 1945, it is the oldest university of technology in modern-day Poland. It is consistently ranked among the leading universities in the country. The university comprises eight academic faculties that provide higher education in 40 fields of study across 14 scientific disciplines. Its campus, located in the Wrzeszcz borough of Gdańsk, covers an area of . As of 2023, the university had 15,622 students, including 11,490 undergraduates, 3,644 postgraduates and 488 doctoral students. The Gdańsk University of Technology has an international institutional accreditation, EUA-IEP (European University Association-Institutional Evaluation Programme). History Beginnings under Emperor Wilhelm II (German Empire, 1899–1918) On 16 March 1899, following a decision by Wilhelm II, deputies of the Kingdom of Prussia approved the est ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 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] |
Ryszard Horodecki
Ryszard Horodecki (born 30 September 1943) is a Polish physicist and a professor of University of Gdańsk. He contributed largely to the field of quantum informatics. In his most widely cited paper, 'Separability of Mixed States: Necessary and Sufficient Conditions' written together with his sons, Michał and Paweł, he proposed the idea currently known as the Peres-Horodecki criterion. With over 12,000 citations, he is considered to be one of the leading Polish physicists . Career He graduated from Department of Electronics, University of Gdańsk. Horodecki received his Ph.D. from Gdańsk University of Technology in 1976. Twenty-one years later, in 1997 he obtained his habilitation from Nicolaus Copernicus University in Toruń. His contribution to the quantum informatics were acknowledged in 2008, when he received the Prize of the Foundation for Polish Science in the field of mathematics and physics. In 2010 he became a member of Polish Academy of Sciences, whereas in 2011 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Michał Horodecki
Michał Horodecki (born 1973) is a Polish physicist at the University of Gdańsk working in the field of quantum information theory, notable for his work on entanglement theory. He co-discovered the Peres-Horodecki criterion for testing whether a state is entangled, and used it to find bound entanglement together with his brother Paweł Horodecki and father Ryszard Horodecki. He co-discovered with Jonathan Oppenheim, Paweł Horodecki and Karol Horodecki that secret key can be drawn from some bound entangled states. Together with Fernando Brandao he proved that every one-dimensional quantum state with a finite correlation length obeys an area law for entanglement entropy. Together with Jonathan Oppenheim and Andreas Winter, he discovered quantum state-merging and used this primitive to show that quantum information could be negative. 2015 he was awarded the ''Minister of Science and Higher Education Awards'' of the Polish government The government of Poland takes the form ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
LOCC
LOCC, or local operations and classical communication, is a method in quantum information theory where a local (product) operation is performed on part of the system, and where the result of that operation is "communicated" classically to another part where usually another local operation is performed conditioned on the information received. Mathematical properties The formal definition of the set of LOCC operations is complicated due to the fact that later local operations depend in general on all the previous classical communication and due to the unbounded number of communication rounds. For any finite number r\geq1 one can define \operatorname_r, the set of LOCC operations that can be achieved with r rounds of classical communication. The set becomes strictly larger whenever r is increased and care has to be taken to define the limit of infinitely many rounds. In particular, the set LOCC is not topologically closed, that is there are quantum operations that can be approximat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bound Entanglement
Bound entanglement is a weak form of quantum entanglement, from which no singlets can be distilled with local operations and classical communication (LOCC). Bound entanglement was discovered by M. Horodecki, P. Horodecki, and R. Horodecki. Bipartite entangled states that have a non-negative partial transpose are all bound-entangled. Moreover, a particular quantum state for 2x4 systems has been presented. Such states are not detected by the Peres-Horodecki criterion as entangled, thus other entanglement criteria are needed for their detection. There are a number of examples for such states. There are also multipartite entangled states that have a negative partial transpose with respect to some bipartitions, while they have a positive partial transpose to the other partitions, nevertheless, they are undistillable. The possible existence of bipartite bound entangled states with a negative partial transpose is still under intensive study. Properties of bound entangled states wit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Teleportation
Quantum teleportation is a technique for transferring quantum information from a sender at one location to a receiver some distance away. While teleportation is commonly portrayed in science fiction as a means to transfer physical objects from one location to the next, quantum teleportation only transfers quantum information. The sender does not have to know the particular quantum state being transferred. Moreover, the location of the recipient can be unknown, but to complete the quantum teleportation, classical information needs to be sent from sender to receiver. Because classical information needs to be sent, quantum teleportation cannot occur faster than the speed of light. One of the first scientific articles to investigate quantum teleportation is "Teleporting an Unknown Quantum State via Dual Classical and Einstein-Podolsky-Rosen Channels" published by Charles H. Bennett (physicist), C. H. Bennett, Gilles Brassard, G. Brassard, Claude Crépeau, C. Crépeau, Richard Jozsa, R ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fidelity Of Quantum States
In quantum mechanics, notably in quantum information theory, fidelity quantifies the "closeness" between two density matrices. It expresses the probability that one state will pass a test to identify as the other. It is not a metric on the space of density matrices, but it can be used to define the Bures metric on this space. Definition The fidelity between two quantum states ''\rho'' and ''\sigma'', expressed as density matrices, is commonly defined as:R. Jozsa, ''Fidelity for Mixed Quantum States'', J. Mod. Opt. 41, 2315--2323 (1994). DOI: http://doi.org/10.1080/09500349414552171 :F(\rho, \sigma) = \left(\operatorname \sqrt\right)^2. The square roots in this expression are well-defined because both \rho and \sqrt\rho\sigma\sqrt\rho are positive semidefinite matrices, and the square root of a positive semidefinite matrix is defined via the spectral theorem. The Euclidean inner product from the classical definition is replaced by the Hilbert–Schmidt inner product. As ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Gdańsk
The University of Gdańsk () is a public university, public research university located in Gdańsk, Poland. It is one of the top 10 universities in Poland and an important centre for the studies of the Kashubian language. History The University of Gdańsk was established in 1970 by the merger of the Higher School of Economics in Sopot (founded in 1945) and Gdańsk College of Education (formed in 1946). Nowadays, the University of Gdańsk is the largest List of universities in Poland, institution of higher learning in Poland's northern region of Pomeranian Voivodeship, Pomerania. The University of Gdańsk boasts significant scientific achievement which enforces its leading position, particularly through activity and research connected with the sea. In this regard, the university has been involved in cooperation with scientific research centres from nearly all corners of the globe. The University of Gdańsk is involved in the creation of a network of European universities select ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excellence in research, teaching, and further education, which usually includes a dissertation. The degree, sometimes abbreviated ''Dr. habil''. (), ''dr hab.'' (), or ''D.Sc.'' ('' Doctor of Sciences'' in Russia and some CIS countries), is often a qualification for full professorship in those countries. In German-speaking countries it allows the degree holder to bear the title ''PD'' (for ). In a number of countries there exists an academic post of docent, appointment to which often requires such a qualification. The degree conferral is usually accompanied by a public oral defence event (a lecture or a colloquium) with one or more opponents. Habilitation is usually awarded 5–15 years after a PhD degree or its equivalent. Achieving this ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
