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Quantum walks: a comprehensive review 
Posted on 20160723
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Quantum walks, the quantum mechanical counterpart of classical random walks, is an advanced tool for building quantum algorithms that has been recently shown to constitute a universal model of quantum computation. Quantum walks is now a solid field of research of quantum computation full of exciting open problems for physicists, computer scientists, mathematicians and engineers.
In this paper we review theoretical advances on the foundations of both discrete and continuoustime quantum walks, together with the role that randomness plays in qu . . . . 






Quantum random walks  an introductory overview 
Posted on 20160722
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This article aims to provide an introductory survey on quantum random walks. Starting from a physical effect to illustrate the main ideas we will introduce quantum random walks, review some of their properties and outline their striking differences to classical walks. We will touch upon both physical effects and computer science applications, introducing some of the main concepts and language of present day quantum information science in this context. We will mention recent developments in this new area and outline some open questions.
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A primer on quantum fluids 
Posted on 20160716
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This book introduces the theoretical description and properties of quantum fluids. The focus is on gaseous atomic BoseEinstein condensates and, to a minor extent, superfluid helium, but the underlying concepts are relevant to other forms of quantum fluids such as polariton and photonic condensates. The book is pitched at the level of advanced undergraduates and early postgraduate students, aiming to provide the reader with the knowledge and skills to develop their own research project on quantum fluids. Indeed, the content for this book grew f . . . . 






An Introduction to Business Mathematics 
Posted on 20160713
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These lecture notes provide a selfcontained introduction to the mathematical methods required in a Bachelor degree programme in Business, Economics, or Management. In particular, the topics covered comprise realvalued vector and matrix algebra, systems of linear algebraic equations, Leontief's stationary inputoutput matrix model, linear programming, elementary financial mathematics, as well as differential and integral calculus of realvalued functions of one real variable. A special focus is set on applications in quantitative economical mo . . . . 






Electronphonon interactions from first principles 
Posted on 20160617
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This article reviews the theory of electronphonon interactions in solids from the point of view of abinitio calculations. While the electronphonon interaction has been studied for almost a century, predictive nonempirical calculations have become feasible only during the past two decades. Today it is possible to calculate from first principles many materials properties related to the electronphonon interaction, including the critical temperature of conventional superconductors, the carrier mobility in semiconductors, the temperature depend . . . . 






Response Theory of the ElectronPhonon Coupling 
Posted on 20160616
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This article presents a systematic theoretical enquiry concerning the conceptual foundations and the nature of phononmediated electronelectron interactions. Starting from the fundamental manybody Hamiltonian, we propose a simple scheme to decouple the electrons and nuclei of a crystalline solid via effective interactions. These effective interactions, which we express in terms of linear response functions, are completely symmetric between electrons and nuclei. Correspondingly, we derive concrete formulae for both the effective electron inte . . . . 






