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Formulation and Numerical Solution of Quantum Control Problems, Alfio Borzi, Gabriele Ciaramella, Martin Sprengel


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Автор: Alfio Borzi, Gabriele Ciaramella, Martin Sprengel
Название:  Formulation and Numerical Solution of Quantum Control Problems
ISBN: 9781611974836
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1611974836
Обложка/Формат: Hardback
Страницы: 390
Вес: 0.94 кг.
Дата издания: 30.08.2017
Серия: Computational science & engineering
Язык: English
Размер: 229 x 152
Читательская аудитория: Professional and scholarly
Ключевые слова: Applied mathematics,Mathematical physics
Основная тема: Applied mathematics,Mathematical physics
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Поставляется из: Англии
Описание: This book provides an introduction to representative nonrelativistic quantum control problems and their theoretical analysis and solution via modern computational techniques. The quantum theory framework is based on the Schr?dinger picture, and the optimization theory, which focuses on functional spaces, is based on the Lagrange formalism. The computational techniques represent recent developments that have resulted from combining modern numerical techniques for quantum evolutionary equations with sophisticated optimization schemes. Both finite and infinite-dimensional models are discussed, including the three-level Lambda system arising in quantum optics, multispin systems in NMR, a charged particle in a well potential, Bose–Einstein condensates, multiparticle spin systems, and multiparticle models in the time-dependent density functional framework.This self-contained book covers the formulation, analysis, and numerical solution of quantum control problems and bridges scientific computing, optimal control and exact controllability, optimization with differential models, and the sciences and engineering that require quantum control methods.
Дополнительное описание: Applied mathematics|Mathematical physics


Numerical Models for Differential Problems

Автор: Alfio Quarteroni
Название: Numerical Models for Differential Problems
ISBN: 3319493159 ISBN-13(EAN): 9783319493152
Издательство: Springer
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Цена: 83850.00 T
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Описание: This book introduces the basic concepts for the numerical modelling of partial differential equations. It details algorithmic and computer implementation aspects and provides a number of easy-to-use programs.

Elements of Statistical Mechanics: With an Introduction to Quantum Field Theory and Numerical Simulation

Автор: Sachs
Название: Elements of Statistical Mechanics: With an Introduction to Quantum Field Theory and Numerical Simulation
ISBN: 0521143640 ISBN-13(EAN): 9780521143646
Издательство: Cambridge Academ
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Цена: 35910.00 T
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Описание: A concise 2006 introduction to key concepts and tools of statistical mechanics. Self-contained, it combines analytical and numerical techniques, and presents a diverse range of applications. Built on many years` teaching experience, this textbook is ideal for advanced students across the physical sciences.

Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory

Автор: Yu Watanabe
Название: Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory
ISBN: 4431561722 ISBN-13(EAN): 9784431561729
Издательство: Springer
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Цена: 87060.00 T
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Описание: In this thesis, quantum estimation theory is applied to investigate uncertainty relations between error and disturbance in quantum measurement.

Formulation of uncertainty relation between error and disturbance in quantum measurement by using quantum estimation theory

Автор: Watanabe, Yu
Название: Formulation of uncertainty relation between error and disturbance in quantum measurement by using quantum estimation theory
ISBN: 4431544925 ISBN-13(EAN): 9784431544920
Издательство: Springer
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Цена: 87070.00 T
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Описание: In this thesis, quantum estimation theory is applied to investigate uncertainty relations between error and disturbance in quantum measurement.

Problems and Solutions in Quantum Computing and Quantum Info

Автор: Steeb Willi-Hans
Название: Problems and Solutions in Quantum Computing and Quantum Info
ISBN: 9814366323 ISBN-13(EAN): 9789814366328
Издательство: World Scientific Publishing
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Цена: 83430.00 T
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Описание: Covers such concepts and topics such as quantum gates and quantum circuits, product Hilbert spaces, entanglement and entanglement measures, deportation, Bell states, Bell inequality, Schmidt decomposition, quantum Fourier transform, magic gate, von Neumann entropy, quantum cryptography, quantum error corrections, coherent states, and more.

An Introduction to the Functional Formulation of Quantum Mechanics

Автор: Girotti Horacio Oscar
Название: An Introduction to the Functional Formulation of Quantum Mechanics
ISBN: 9814520497 ISBN-13(EAN): 9789814520492
Издательство: World Scientific Publishing
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Цена: 50690.00 T
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Описание: The functional formulation of quantum mechanics and relativistic quantum field theories are widely studied subjects. Nevertheless, certain aspects of this formulation are frequently overlooked, in spite of their relevance from a structural point of view. This book aims to fill up this gap. The non-relativistic regime has been found particularly appropriate for these purposes.

Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems

Автор: Weinberg
Название: Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems
ISBN: 331939021X ISBN-13(EAN): 9783319390215
Издательство: Springer
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Цена: 139310.00 T
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Описание: This book provides readers with a detailed insight into diverse and exciting recent developments in computational solid mechanics, documenting new perspectives and horizons. The topics addressed cover a wide range of current research, from computational materials modeling, including crystal plasticity, micro-structured materials, and biomaterials, to multi-scale simulations of multi-physics phenomena. Particular emphasis is placed on pioneering discretization methods for the solution of coupled non-linear problems at different length scales. The book, written by leading experts, reflects the remarkable advances that have been made in the field over the past decade and more, largely due to the development of a sound mathematical background and efficient computational strategies. The contents build upon the 2014 IUTAM symposium celebrating the 60th birthday of Professor Michael Ortiz, to whom this book is dedicated. His work has long been recognized as pioneering and is a continuing source of inspiration for many researchers. It is hoped that by providing a 'taste' of the field of computational mechanics, the book will promote its popularity among the mechanics and physics communities.

Numerical Simulations of Coupled Problems in Engineering

Автор: Sergio R. Idelsohn
Название: Numerical Simulations of Coupled Problems in Engineering
ISBN: 3319061356 ISBN-13(EAN): 9783319061351
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book presents and discusses mathematical models, numerical methods and computational techniques used for solving coupled problems in science and engineering.

Introduction to the numerical solution of Markov chains /

Автор: Stewart, William J.,
Название: Introduction to the numerical solution of Markov chains /
ISBN: 0691036993 ISBN-13(EAN): 9780691036991
Издательство: Wiley
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Цена: 145730.00 T
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Описание: Offers a systematic and detailed treatment of the numerical solution of Markov chains. This book explores various aspects of numerically computing solutions of Markov chains, especially when the state is huge. It examines many different numerical computing methods - direct, single-and multi-vector iterative, and projection methods.

Numerical Solution of Boundary Value Problems for Ordinary Differential Equations

Автор: Uri M. Ascher, Robert M.M. Mattheij, Robert D. Rus
Название: Numerical Solution of Boundary Value Problems for Ordinary Differential Equations
ISBN: 0898713544 ISBN-13(EAN): 9780898713541
Издательство: Mare Nostrum (Eurospan)
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Цена: 71890.00 T
Наличие на складе: Невозможна поставка.
Описание: The most comprehensive, up to date account of the popular numerical methods for solving boundary value problems in ODEs.

Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations

Автор: K.E. Brenan, S.L. Campbell, L.R. Petzold
Название: Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations
ISBN: 0898713536 ISBN-13(EAN): 9780898713534
Издательство: Mare Nostrum (Eurospan)
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Цена: 57690.00 T
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Описание: This book, originally published in 1989 and updated and expanded for the Classics edition, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code.

Convection-Diffusion Problems: An Introduction to Their Analysis and Numerical Solution

Автор: Martin Stynes, David Stynes
Название: Convection-Diffusion Problems: An Introduction to Their Analysis and Numerical Solution
ISBN: 1470448688 ISBN-13(EAN): 9781470448684
Издательство: Mare Nostrum (Eurospan)
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Цена: 112860.00 T
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Описание: Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this class of problems. At first they examine finite-difference methods for two-point boundary value problems, as their analysis requires little theoretical background. Upwinding, artificial diffusion, uniformly convergent methods, and Shishkin meshes are some of the topics presented. Throughout, the authors are concerned with the accuracy of solutions when the diffusion coefficient is close to zero. Later in the book they concentrate on finite element methods for problems posed in one and two dimensions.This lucid yet thorough account of convection-dominated convection-diffusion problems and how to solve them numerically is meant for beginning graduate students, and it includes a large number of exercises. An up-to-date bibliography provides the reader with further reading. This book is published in cooperation with Atlantic Association for Research in the Mathematical Sciences.


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