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Quantum annealing employs quantum fluctuations in frustrated systems or networks to anneal the system down to its ground state, or more generally to its so-called minimum cost state. Often this procedure turns out to be more effective, in multivariable optimization problems, than its classical counterpart utilizing tunable thermal fluctuations. This volume is divided into three parts. Part I is an extensive tutorial introduction familiarizing the reader with the background material necessary to follow the core of the book. Part II gives a comprehensive account of the fundamentals and applications of the quantum annealing method, and Part III compares quantum annealing with other related optimization methods. This is the first book entirely devoted to quantum annealing and will be both an invaluable primer and guidebook for all advanced students and researchers in this important field.

Simulated annealing (Mathematics) --- Spin glasses. --- Fluctuations (Physics) --- Quantum theory. --- Verres de spin --- Fluctuations (Physique) --- Théorie quantique --- Spin glasses --- Quantum theory --- Applied Physics --- Atomic Physics --- Physics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Variations (Physics) --- Glasses, Magnetic --- Glasses, Spin --- Magnetic glasses --- Algorithm, Annealing --- Algorithm, Probabilistic exchange --- Annealing, Monte Carlo --- Annealing, Simulated --- Annealing algorithm --- Cooling, Statistical --- Exchange algorithm, Probabilistic --- Hill climbing, Probabilistic --- Monte Carlo annealing --- Probabilistic exchange algorithm --- Probabilistic hill climbing --- Relaxation, Stochastic --- Statistical cooling --- Stochastic relaxation --- Physics. --- Mathematical optimization. --- Condensed matter. --- Theoretical, Mathematical and Computational Physics. --- Condensed Matter Physics. --- Optimization. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Mathematical physics. --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Physical mathematics --- Mathematics

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Quantum annealing employs quantum fluctuations in frustrated systems or networks to anneal the system down to its ground state, or more generally to its so-called minimum cost state. Often this procedure turns out to be more effective, in multivariable optimization problems, than its classical counterpart utilizing tunable thermal fluctuations. This volume is divided into three parts. Part I is an extensive tutorial introduction familiarizing the reader with the background material necessary to follow the core of the book. Part II gives a comprehensive account of the fundamentals and applications of the quantum annealing method, and Part III compares quantum annealing with other related optimization methods. This is the first book entirely devoted to quantum annealing and will be both an invaluable primer and guidebook for all advanced students and researchers in this important field.

Mathematical physics --- Solid state physics --- Computer. Automation --- automatisering --- wiskunde --- fysica

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The process of realizing the ground state of some typical (frustrated) quantum many-body systems, starting from the 'disordered' or excited states, can formally be mapped onto the search of solutions for computationally hard problems. The dynamics through quantum critical points are especially crucial in the context of such computational optimization problems and have been investigated intensively in recent times. Several successful methods are now well-established, and this volume compiles a collection of introductory reviews on such developments and related aspects. Written by well known experts, these lectures concentrate on quantum phase transitions and their dynamics as the transition or critical points are crossed. Both the quenching and annealing dynamics are extensively covered. The style has been kept as tutorial as possible in order to make this volume a suitable reference for young researchers joining this exciting and burgeoning field of research. .