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Control Of Quantum Systems

Author: Shuang Cong
Publisher: John Wiley & Sons
ISBN: 1118608151
Size: 39.38 MB
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Advanced research reference examining the closed and open quantum systems Control of Quantum Systems: Theory and Methods provides an insight into the modern approaches to control of quantum systems evolution, with a focus on both closed and open (dissipative) quantum systems. The topic is timely covering the newest research in the field, and presents and summarizes practical methods and addresses the more theoretical aspects of control, which are of high current interest, but which are not covered at this level in other text books. The quantum control theory and methods written in the book are the results of combination of macro-control theory and microscopic quantum system features. As the development of the nanotechnology progresses, the quantum control theory and methods proposed today are expected to be useful in real quantum systems within five years. The progress of the quantum control theory and methods will promote the progress and development of quantum information, quantum computing, and quantum communication. Equips readers with the potential theories and advanced methods to solve existing problems in quantum optics/information/computing, mesoscopic systems, spin systems, superconducting devices, nano-mechanical devices, precision metrology. Ideal for researchers, academics and engineers in quantum engineering, quantum computing, quantum information, quantum communication, quantum physics, and quantum chemistry, whose research interests are quantum systems control.

Introduction To Quantum Control And Dynamics

Author: Domenico D'Alessandro
Publisher: CRC Press
ISBN: 9781584888833
Size: 17.65 MB
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The introduction of control theory in quantum mechanics has created a rich, new interdisciplinary scientific field, which is producing novel insight into important theoretical questions at the heart of quantum physics. Exploring this emerging subject, Introduction to Quantum Control and Dynamics presents the mathematical concepts and fundamental physics behind the analysis and control of quantum dynamics, emphasizing the application of Lie algebra and Lie group theory. After introducing the basics of quantum mechanics, the book derives a class of models for quantum control systems from fundamental physics. It examines the controllability and observability of quantum systems and the related problem of quantum state determination and measurement. The author also uses Lie group decompositions as tools to analyze dynamics and to design control algorithms. In addition, he describes various other control methods and discusses topics in quantum information theory that include entanglement and entanglement dynamics. The final chapter covers the implementation of quantum control and dynamics in several fields. Armed with the basics of quantum control and dynamics, readers will invariably use this interdisciplinary knowledge in their mathematical, physics, and engineering work.

Control Of Distributed Parameter Systems 1982

Author: Jean-Pierre Babary
Publisher: Elsevier
ISBN: 1483153231
Size: 59.64 MB
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Control of Distributed Parameter Systems 1982 covers the proceeding of the Third International Federation of Automatic Control (IFAC) Symposium on Control of Distributed Parameter Systems. The book reviews papers that tackle issues concerning the control of distributed parameter systems, such as modeling, identification, estimation, stabilization, optimization, and energy system. The topics that the book tackles include notes on optimal and estimation result of nonlinear systems; approximation of the parameter identification problem in distributed parameters systems; and optimal control of a punctually located heat source. This text also encompasses the stabilization of nonlinear parabolic equations and the decoupling approach to the control of large spaceborne antenna systems. Stability of Hilbert space contraction semigroups and the tracking problem in the fractional representation approach are also discussed. This book will be of great interest to researchers and professionals whose work concerns automated control systems.

Factorization Method In Quantum Mechanics

Author: Shi-Hai Dong
Publisher: Springer Science & Business Media
ISBN: 1402057962
Size: 48.35 MB
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This book introduces the factorization method in quantum mechanics at an advanced level, with the aim of putting mathematical and physical concepts and techniques like the factorization method, Lie algebras, matrix elements and quantum control at the reader’s disposal. For this purpose, the text provides a comprehensive description of the factorization method and its wide applications in quantum mechanics which complements the traditional coverage found in quantum mechanics textbooks.

Open Quantum Systems Far From Equilibrium

Author: Gernot Schaller
Publisher: Springer
ISBN: 331903877X
Size: 64.19 MB
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This monograph provides graduate students and also professional researchers aiming to understand the dynamics of open quantum systems with a valuable and self-contained toolbox. Special focus is laid on the link between microscopic models and the resulting open-system dynamics. This includes how to derive the celebrated Lindblad master equation without applying the rotating wave approximation. As typical representatives for non-equilibrium configurations it treats systems coupled to multiple reservoirs (including the description of quantum transport), driven systems and feedback-controlled quantum systems. Each method is illustrated with easy-to-follow examples from recent research. Exercises and short summaries at the end of every chapter enable the reader to approach the frontiers of current research quickly and make the book useful for quick reference.

Advanced Models Of Neural Networks

Author: Gerasimos G. Rigatos
Publisher: Springer
ISBN: 3662437643
Size: 35.30 MB
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This book provides a complete study on neural structures exhibiting nonlinear and stochastic dynamics, elaborating on neural dynamics by introducing advanced models of neural networks. It overviews the main findings in the modelling of neural dynamics in terms of electrical circuits and examines their stability properties with the use of dynamical systems theory. It is suitable for researchers and postgraduate students engaged with neural networks and dynamical systems theory.

Optimization And Control Of Bilinear Systems

Author: Panos M. Pardalos
Publisher: Springer Science & Business Media
ISBN: 9780387736693
Size: 48.60 MB
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Covers developments in bilinear systems theory Focuses on the control of open physical processes functioning in a non-equilibrium mode Emphasis is on three primary disciplines: modern differential geometry, control of dynamical systems, and optimization theory Includes applications to the fields of quantum and molecular computing, control of physical processes, biophysics, superconducting magnetism, and physical information science

Decoherence Entanglement And Information Protection In Complex Quantum Systems

Author: Vladimir M. Akulin
Publisher: Springer Science & Business Media
ISBN: 9781402032820
Size: 27.57 MB
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This book is a collection of articles on the contemporary status of quantum mechanics, dedicated to the fundamental issues of entanglement, decoherence, irreversibility, information processing, and control of quantum evolution, with a view of possible applications. It has multidisciplinary character and is addressed at a broad readership in physics, computer science, chemistry, and electrical engineering. It is written by the world-leading experts in pertinent fields such as quantum computing, atomic, molecular and optical physics, condensed matter physics, and statistical physics.

Duality System In Applied Mechanics And Optimal Control

Author: Wan-Xie Zhong
Publisher: Springer Science & Business Media
ISBN: 1402078803
Size: 36.61 MB
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A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.

Advances In Chemical Physics

Author: Stuart A. Rice
Publisher: John Wiley & Sons
ISBN: 1118135237
Size: 70.46 MB
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The Advances in Chemical Physics series—the cutting edgeof research in chemical physics The Advances in Chemical Physics series provides thechemical physics and physical chemistry fields with a forum forcritical, authoritative evaluations of advances in every area ofthe discipline. Filled with cutting-edge research reported in acohesive manner not found elsewhere in the literature, each volumeof the Advances in Chemical Physics series offerscontributions from internationally renowned chemists and serves asthe perfect supplement to any advanced graduate class devoted tothe study of chemical physics. This volume explores: Hydrogen Bond Topology and Proton Ordering in Ice and WaterClusters (Sherwin J. Singer and Chris Knight) Molecular Inner-Shell Spectroscopy, Arpis Technique and ItsApplications (Eiji Shigemasa and Nobuhiro Kosugi) Geometric Optimal Control of Simple Quantum Systems: GeometricOptimal Control Theory (Dominique Sugny) Density Matrix Equation for a Bathed Small System and itsApplication to Molecular Magnets (D. A. Garanin) A Fractional Langevin Equation Approach to Diffusion MagneticResonance Imaging (Jennie Cooke)