Information Complexity And Control In Quantum Physics

This book has emerged from a meeting held during the week of May 29 to June 2, 1989, at St. John’s College in Santa Fe under the auspices of the Santa Fe Institute. The (approximately 40) official participants as well as equally numerous “groupies” were enticed to Santa Fe by the above “manifesto.” The book—like the “Complexity, Entropy and the Physics of Information” meeting explores not only the connections between quantum and classical physics, information and its transfer, computation, and their significance for the formulation of physical theories, but it also considers the origins and evolution of the information-processing entities, their complexity, and the manner in which they analyze their perceptions to form models of the Universe. As a result, the contributions can be divided into distinct sections only with some difficulty. Indeed, I regard this degree of overlapping as a measure of the success of the meeting. It signifies consensus about the important questions and on the anticipated answers: they presumably lie somewhere in the “border territory,” where information, physics, complexity, quantum, and computation all meet.

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.

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 ph

The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory. This book contains 11 chapters and is designed as a one-semester course for engineers, applied and pure mathematicians, theoretical and experimental physicists, computer and economic scientists, theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature. Contents:IntroductionLocal Geometrical Machinery for Complexity and ControlGlobal Categorical Framework for Complexity and ControlDynamics of Crowd Behaviors: From Complex Plane to Quantum Random FieldsHierarchical Self-Similarity in Group and Crowd BehaviorsHybrid Topological Lie-Hamiltonian Learning in Evolving Energy LandscapesComplexity and Control in Solitary Conductive PDEsQuantum-Computation for Perceptual Control ArchitectureComplexity and Control in Entropic and Stochastic Self-OrganizationCrash Simulator: Brain-and-Spine Injury MechanicsConclusionCode Samples Used for Complexity and Control Readership: Professional and researchers in the field of nonlinear science, chaos and dynamical and complex systems. Key Features:Unique approach of generalized dynamics, rooted in the most powerful Kähler geometry, combining Lagrangian, Hamiltonian and quantum systemsUnique visual framework of commutative diagrams and n-categoriesPlenty of computational algorithms in Mathematica, Matlab, C#, C/C++ and Fortran 90Keywords:Generalized Dynamics;Kähler Geometry;Lagrangian;Hamiltonian and Quantum Systems