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Quantum Algorithms Factoring Integers

by Discrete Log
"... There exist quantum algorithms that can solve certain problems substantially faster than any classical algorithm. ..."
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There exist quantum algorithms that can solve certain problems substantially faster than any classical algorithm.

Title of Document: QUANTUM MECHANICS AND QUANTUM INFORMATION THEORY

by unknown authors
"... The principle aim of this dissertation is to investigate the philosophical application of quantum information theory to interpretational issues regarding the theory of quantum mechanics. Recently, quantum information theory has emerged as a potential source for such an interpretation. The main quest ..."
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The principle aim of this dissertation is to investigate the philosophical application of quantum information theory to interpretational issues regarding the theory of quantum mechanics. Recently, quantum information theory has emerged as a potential source for such an interpretation. The main

Modelling and numerical methods in quantum kinetic

by Weizhu Bao, Lorenzo Pareschi, Peter A. Markowich
"... theory ..."
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Abstract not found

05 SIMULTANEOUS CLASSICAL-QUANTUM CAPACITIES OF QUANTUM MULTIPLE ACCESS CHANNELS

by Abbas El Gamal, Carl A. Yard , 2005
"... ar ..."
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Abstract not found

Finite time blow up in Kaniadakis-Quarati model of Bose-Einstein particles

by unknown authors , 2010
"... We study a Fokker-Planck equation with linear diffusion and super-linear drift introduced by Kaniadakis and Quarati [11, 12] to describe the evolution of a gas of Bose-Einstein particles. For kinetic equation of this type it is well-known that, in the physical space R 3, the structure of the equilib ..."
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in the latter we prove that the solution starts to blow up at some finite time tc, for which we give an upper bound in terms of the initial mass. The results are in favour of the validation of the model, which, in the supercritical regime, could produce in finite time a transition from a normal fluid to one

1. REPORT DATE (DD-MM-YYYY) 4. TITLE AND SUBTITLE

by William Marsh
"... The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comm ..."
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Heterogeneous multi-metric learning for multi-sensor fusion 16. SECURITY CLASSIFICATION OF: In this paper, we propose a multiple-metric learning algorithm to learn jointly a set of optimal homogenous/heterogeneous metrics in order to fuse the data collected from multiple sensors for classification. The learned

APractical Lattice-based Digital Signature Schemes

by unknown authors
"... Digital signatures are an important primitive for building secure systems and are used in most real world security protocols. However, almost all popular signature schemes are either based on the factoring as-sumption (RSA) or the hardness of the discrete logarithm problem (DSA/ECDSA). In the case o ..."
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of classical cryptanalytic advances or progress on the development of quantum computers the hardness of these closely related problems might be seriously weakened. A potential alternative approach is the construction of sig-nature schemes based on the hardness of certain lattices problems which are assumed

Physics

by Daniel Alexander Pertot, Jacobus Verbaarschot, Two-component Bosons In, Daniel Alexander Pertot , 2011
"... Ultracold atoms in optical lattices provide a highly control-lable environment for the clean experimental realization of various model Hamiltonians from condensed matter and statistical physics. For example, the two-component Bose-Hubbard model, which re-duces to an anisotropic spin-1/2 Heisenberg m ..."
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Ultracold atoms in optical lattices provide a highly control-lable environment for the clean experimental realization of various model Hamiltonians from condensed matter and statistical physics. For example, the two-component Bose-Hubbard model, which re-duces to an anisotropic spin-1/2 Heisenberg

Contents

by Thibaut Allem , 2010
"... We discuss the grazing collision limit of certain kinetic models of Bose-Einstein particles obtained from a suitable modification of the one-dimensional Kac caricature of a Maxwellian gas without cut-off. We re-cover in the limit a nonlinear Fokker-Planck equation which presents many similarities wi ..."
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We discuss the grazing collision limit of certain kinetic models of Bose-Einstein particles obtained from a suitable modification of the one-dimensional Kac caricature of a Maxwellian gas without cut-off. We re-cover in the limit a nonlinear Fokker-Planck equation which presents many similarities with the one introduced by Kaniadakis and Quarati in [14]. In order to do so, we perform a study of the moments of the solution. Moreover, as is typical in Maxwell models, we make an essential use of the Fourier version of the equation.

École Doctorale de Physique de la Région Parisienne- ED 107 Thèse de doctorat

by Spécialité Physique Théorique, Antoine Georges Examinateur, Henk Hilhorst Examinateur, Corinna Kollath Examinateur, Guilhem Semerjian Examinateur, Giulio Biroli Membre Invité
"... Sujet de la thèse: Dynamique quantique hors-équilibre et systèmes désordonnés pour des atomes ultrafroids bosoniques présentée par Bruno Sciolla pour obtenir le grade de Docteur de l’Université Paris-sud 11 Directeur de thèse: Henri Orland Thèse préparée sous la direction de Giulio Biroli ..."
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Sujet de la thèse: Dynamique quantique hors-équilibre et systèmes désordonnés pour des atomes ultrafroids bosoniques présentée par Bruno Sciolla pour obtenir le grade de Docteur de l’Université Paris-sud 11 Directeur de thèse: Henri Orland Thèse préparée sous la direction de Giulio Biroli
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