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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) and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Physics
Physics is the natural science that studies matter, its 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." Physics is one of the most fundamental scientific disciplines, with its main goal being to understand how the universe behaves. "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 physic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gdańsk University Of Technology
The Gdańsk University of Technology (Gdańsk Tech, former ''GUT''; pl, Politechnika Gdańska) is a technical university in the Wrzeszcz borough of Gdańsk, and one of the oldest universities in Poland. It has eight faculties and with 41 fields of study and more than 18 thousand undergraduate, as well as about 626 doctoral students. It employs 2768 people, including 1313 academic teachers. Some degree courses and various specialisations are taught in English. Moreover, some of the courses offered by Gdańsk Tech are unique in Poland, for instance ones in Construction Chemistry, Nanotechnology, Geodesy and Cartography, as well as Engineering of Natural Resources. Students have access to specialist laboratories, lecture theatres with multimedia facilities, a library with 1.2 million volumes and various sports facilities. Undergraduates can also join one or more of 60 student science or language societies as well as other organisations. Gdańsk Tech is the first and only P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Information Theory
Quantum information is the information of the quantum state, 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 Observable, observables cannot be precisely mea ... [...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 rec ... [...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 In quantum information theory, quantum state merging is the transfer of a quantum state when the receiver already has part of the state. The process optimally transfers partial information using entanglement and classical c ... [...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 approximate ... [...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 with ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fidelity Of Quantum States
In quantum mechanics, notably in quantum information theory, fidelity is a measure of the "closeness" of two quantum states. It expresses the probability that one state will pass a test to identify as the other. The fidelity is not a metric on the space of density matrices, but it can be used to define the Bures metric on this space. Given two density operators \rho and \sigma, the fidelity is generally defined as the quantity F(\rho, \sigma) = \left(\operatorname \sqrt\right)^2. In the special case where \rho and \sigma represent pure quantum states, namely, \rho=, \psi_\rho\rangle\!\langle\psi_\rho, and \sigma=, \psi_\sigma\rangle\!\langle\psi_\sigma, , the definition reduces to the squared overlap between the states: F(\rho, \sigma)=, \langle\psi_\rho, \psi_\sigma\rangle, ^2. While not obvious from the general definition, the fidelity is symmetric: F(\rho,\sigma)=F(\sigma,\rho). Motivation Given two random variables X,Y with values (1, ..., n) ( categorical random variab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Gdańsk
The University of Gdańsk ( pl, Uniwersytet Gdański) is a public research university located in Gdańsk, Poland. It is one of the top 10 universities in Poland and is also an important centre for the studies of the Kashubian language. History The University of Gdańsk was established in 1970 by a merger of the Higher School of Economics in Sopot (in existence since 1945) and Gdańsk College of Education (formed in 1946). Nowadays, the University of Gdańsk is the largest institution of higher learning in Poland's northern region of 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 selected in the ‘European Universities’ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a dissertation. The degree, abbreviated "Dr. habil." (Doctor habilitatus) or "PD" (for "Privatdozent"), is a qualification for professorship in those countries. The conferral is usually accompanied by a lecture to a colloquium as well as a public inaugural lecture. History and etymology The term ''habilitation'' is derived from the Medieval Latin , meaning "to make suitable, to fit", from Classical Latin "fit, proper, skillful". The degree developed in Germany in the seventeenth century (). Initially, habilitation was synonymous with "doctoral qualification". The term became synonymous with "post-doctoral qualification" in Germany in the 19th century "when holding a doctorate seemed no longer sufficient to guarantee a proficient transfer o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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