The Experts below are selected from a list of 46872 Experts worldwide ranked by ideXlab platform
Dariusz Chruścinski - One of the best experts on this subject based on the ideXlab platform.
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dissipative generators divisible dynamical maps and the kadison schwarz inequality
Physical Review A, 2019Co-Authors: Dariusz Chruścinski, Farrukh MukhamedovAbstract:We introduce the concept of Kadison-Schwarz-divisible dynamical maps. It turns out that it is a Natural Generalization of the well-known CP-divisibility which characterizes quantum Markovian evolution. It is proved that Kadison-Schwarz-divisible maps are fully characterized in terms of time-local dissipative generators. Simple qubit evolution illustrates the concept.
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memory kernel approach to generalized pauli channels markovian semi markov and beyond
Physical Review A, 2017Co-Authors: Katarzyna Siudzinska, Dariusz ChruścinskiAbstract:In this paper, we analyze the evolution of the generalized Pauli channels governed by the memory kernel master equation. We provide necessary and sufficient conditions for the memory kernel to give rise to the legitimate (completely positive and trace-preserving) quantum evolution. In particular, we analyze a class of kernels generating the quantum semi-Markov evolution, which is a Natural Generalization of the Markovian semigroup. Interestingly, the convex combination of Markovian semigroups goes beyond the semi-Markov case. Our analysis is illustrated with several examples.
Katarzyna Siudzinska - One of the best experts on this subject based on the ideXlab platform.
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memory kernel approach to generalized pauli channels markovian semi markov and beyond
Physical Review A, 2017Co-Authors: Katarzyna Siudzinska, Dariusz ChruścinskiAbstract:In this paper, we analyze the evolution of the generalized Pauli channels governed by the memory kernel master equation. We provide necessary and sufficient conditions for the memory kernel to give rise to the legitimate (completely positive and trace-preserving) quantum evolution. In particular, we analyze a class of kernels generating the quantum semi-Markov evolution, which is a Natural Generalization of the Markovian semigroup. Interestingly, the convex combination of Markovian semigroups goes beyond the semi-Markov case. Our analysis is illustrated with several examples.
Sridhar Tayur - One of the best experts on this subject based on the ideXlab platform.
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a new algebraic geometry algorithm for integer programming
Management Science, 2000Co-Authors: Dimitris Bertsimas, Georgia Perakis, Sridhar TayurAbstract:We propose a new algorithm for solving integer programming (IP) problems that is based on ideas from algebraic geometry. The method provides a Natural Generalization of the Farkas lemma for IP, leads to a way of performing sensitivity analysis, offers a systematic enumeration of all feasible solutions, and gives structural information of the feasible set of a given IP. We provide several examples that offer insights on the algorithm and its properties.
Tamás Titkos - One of the best experts on this subject based on the ideXlab platform.
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Operators on anti-dual pairs: Generalized Schur complement
Linear Algebra and its Applications, 2020Co-Authors: Zsigmond Tarcsay, Tamás TitkosAbstract:Abstract The goal of this paper is to develop the theory of Schur complementation in the context of operators acting on anti-dual pairs. As a byproduct, we obtain a Natural Generalization of the parallel sum and parallel difference, as well as the Lebesgue-type decomposition. To demonstrate how this operator approach works in application, we derive the corresponding results for operators acting on rigged Hilbert spaces, and for representable functionals of ⁎-algebras.
Titkos Tamás - One of the best experts on this subject based on the ideXlab platform.
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Operators on anti-dual pairs: Generalized Schur complement
2020Co-Authors: Tarcsay Zsigmond, Titkos TamásAbstract:The goal of this paper is to develop the theory of Schur complementation in the context of operators acting on anti-dual pairs. As a byproduct, we obtain a Natural Generalization of the parallel sum and parallel difference, as well as the Lebesgue-type decomposition. To demonstrate how this operator approach works in application, we derive the corresponding results for operators acting on rigged Hilbert spaces, and for representable functionals of ${}^{*}$-algebras.Comment: 15 page
