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Author: Aline I. Maalouf Publisher: ISBN: Category : Linear systems Languages : en Pages : 541
Book Description
The miniaturization of electronic circuits and devices, and recent advances in laser technology, have brought to the forefront the need for, and possibility of, controlling systems which exhibit quantum mechanical features. This thesis aims to develop some concepts of the classical control theory so that they become applicable to quantum systems. In particular, it considers the bounded real properties for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. It develops complex quantum versions of the Bounded Real Lemma, the Strict Bounded Real Lemma and the Lossless Bounded Real Lemma. For the class of quantum systems under consideration, it is shown that the question of physical realizability is related to the bounded real and lossless bounded real properties. Furthermore, it considers a coherent H&∞ control problem for this same class of linear quantum systems and shows that a solution to the H&∞ control problem can be obtained in terms of a pair of complex algebraic Riccati equations. In addition, the question of physical realizability of the resulting quantum controllers is related to a bounded real property. Also, the thesis considers a coherent LQG control problem for this class of linear quantum systems and develops a method for designing an LQG controller which satisfies a physical realizability condition. The main idea involves constructing a suitable cost function for the LQG problem such that a physically realizable controller is obtained. The resulting controller provides robust stability as well as optimal performance. Finally, a finite horizon H&∞ control problem is solved for a class of linear quantum systems using a dynamic game approach. Three cases are considered: the continuous time case, the sampled-data measurements case and the delayed measurement case. The methodology adopted in these three cases, involves an equivalence between the quantum control problem and an auxiliary classical stochastic H&∞ problem. Then, by solving the finite horizon H&∞ control problem for the equivalent stochastic systems using some results from a corresponding deterministic problem, following a dynamic game approach, the finite horizon H&∞ control problem for linear quantum systems is solved separately for each case.
Author: Aline I. Maalouf Publisher: ISBN: Category : Linear systems Languages : en Pages : 541
Book Description
The miniaturization of electronic circuits and devices, and recent advances in laser technology, have brought to the forefront the need for, and possibility of, controlling systems which exhibit quantum mechanical features. This thesis aims to develop some concepts of the classical control theory so that they become applicable to quantum systems. In particular, it considers the bounded real properties for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. It develops complex quantum versions of the Bounded Real Lemma, the Strict Bounded Real Lemma and the Lossless Bounded Real Lemma. For the class of quantum systems under consideration, it is shown that the question of physical realizability is related to the bounded real and lossless bounded real properties. Furthermore, it considers a coherent H&∞ control problem for this same class of linear quantum systems and shows that a solution to the H&∞ control problem can be obtained in terms of a pair of complex algebraic Riccati equations. In addition, the question of physical realizability of the resulting quantum controllers is related to a bounded real property. Also, the thesis considers a coherent LQG control problem for this class of linear quantum systems and develops a method for designing an LQG controller which satisfies a physical realizability condition. The main idea involves constructing a suitable cost function for the LQG problem such that a physically realizable controller is obtained. The resulting controller provides robust stability as well as optimal performance. Finally, a finite horizon H&∞ control problem is solved for a class of linear quantum systems using a dynamic game approach. Three cases are considered: the continuous time case, the sampled-data measurements case and the delayed measurement case. The methodology adopted in these three cases, involves an equivalence between the quantum control problem and an auxiliary classical stochastic H&∞ problem. Then, by solving the finite horizon H&∞ control problem for the equivalent stochastic systems using some results from a corresponding deterministic problem, following a dynamic game approach, the finite horizon H&∞ control problem for linear quantum systems is solved separately for each case.
Author: Daoyi Dong Publisher: Springer Nature ISBN: 3031202457 Category : Science Languages : en Pages : 265
Book Description
This monograph provides a state-of-the-art treatment of learning and robust control in quantum technology. It presents a systematic investigation of control design and algorithm realisation for several classes of quantum systems using control-theoretic tools and machine-learning methods. The approaches rely heavily on examples and the authors cover: sliding mode control of quantum systems; control and classification of inhomogeneous quantum ensembles using sampling-based learning control; robust and optimal control design using machine-learning methods; robust stability of quantum systems; and H∞ and fault-tolerant control of quantum systems. Both theoretical algorithm design and potential practical applications are considered. Methods for enhancing robustness of performance are developed in the context of quantum state preparation, quantum gate construction, and ultrafast control of molecules. Researchers and graduates studying systems and control theory, quantum control, and quantum engineering, especially from backgrounds in electrical engineering, applied mathematics and quantum information will find Learning and Robust Control in Quantum Technology to be a valuable reference for the investigation of learning and robust control of quantum systems. The material contained in this book will also interest chemists and physicists working on chemical physics, quantum optics, and quantum information technology.
Author: S.Z. Sayed Hassen Publisher: ISBN: Category : Open systems (Physics) Languages : en Pages : 231
Book Description
Quantum systems have been traditionally subjected to ad hoc control approaches, which although effective, can be restrictive in terms of performance. In an effort to provide for a wider range of potential applications of the next generation of quantum technology, more sophisticated control schemes which can squeeze maximum performance from the closed-loop system are necessary. There is no doubt that the knowledge and use of quantum models in the controller design process, can lead to improved performance. In this thesis, we consider three topics of interest in the broad field of quantum control. The motivation for the first two topics arises out of a need to devise systematic control schemes to optimally control practical quantum systems. We show that for some important problems arising in quantum technology, the application of optimal control schemes can (in theory) achieve performance levels which are limited only by the quantum noises present in the system. The quantum systems we consider are of current interest to experimentalists and physicists working in the field of quantum optics. In the last topic of this thesis, we investigate a robust theoretical approach to the control of quantum systems. Quantum systems are very rarely known to a high degree of accuracy and in particular, they are afflicted by additional sources of uncertainty which are not present in classical systems. Here, we model uncertainty in the “observables” of the quantum systems and using the concept of relative entropy and the framework of Radon-Nikodym derivatives, we formulate and extend a quantum version of the classical risk-sensitive control result. The risk-sensitive control approach is known to possess inherent robust properties and we use a quantum version of this result to determine an upper bound on the cost of a riskneutral problem, obtained using a nominal model of a simple quantum system. Next, we give an overview of each topic.
Author: Shuang Cong Publisher: John Wiley & Sons ISBN: 1118608151 Category : Technology & Engineering Languages : en Pages : 430
Book Description
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.
Author: Andreas Müller Publisher: BoD – Books on Demand ISBN: 953307339X Category : Science Languages : en Pages : 478
Book Description
Robust control has been a topic of active research in the last three decades culminating in H_2/H_\infty and \mu design methods followed by research on parametric robustness, initially motivated by Kharitonov's theorem, the extension to non-linear time delay systems, and other more recent methods. The two volumes of Recent Advances in Robust Control give a selective overview of recent theoretical developments and present selected application examples. The volumes comprise 39 contributions covering various theoretical aspects as well as different application areas. The first volume covers selected problems in the theory of robust control and its application to robotic and electromechanical systems. The second volume is dedicated to special topics in robust control and problem specific solutions. Recent Advances in Robust Control will be a valuable reference for those interested in the recent theoretical advances and for researchers working in the broad field of robotics and mechatronics.
Author: Howard M. Wiseman Publisher: Cambridge University Press ISBN: 0521804426 Category : Mathematics Languages : en Pages : 477
Book Description
Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.
Author: Alessandro Astolfi Publisher: Springer Science & Business Media ISBN: 3540743588 Category : Technology & Engineering Languages : en Pages : 485
Book Description
This book is a tribute to Prof. Alberto Isidori on the occasion of his 65th birthday. Prof. Isidori’s proli?c, pioneering and high-impact research activity has spanned over 35 years. Throughout his career, Prof. Isidori has developed ground-breaking results, has initiated researchdirections and has contributed towardsthe foundationofnonlinear controltheory.In addition,his dedication to explain intricate issues and di?cult concepts in a simple and rigorous way and to motivate young researchers has been instrumental to the intellectual growth of the nonlinear control community worldwide. The volume collects 27 contributions written by a total of 52 researchers. The principal author of each contribution has been selected among the - searchers who have worked with Prof. Isidori, have in?uenced his research activity, or have had the privilege and honour of being his PhD students. The contributions address a signi?cant number of control topics, including th- retical issues, advanced applications, emerging control directions and tutorial works. The diversity of the areas covered, the number of contributors and their international standing provide evidence of the impact of Prof. Isidori in the control and systems theory communities. The book has been divided into six parts: System Analysis, Optimization Methods, Feedback Design, Regulation, Geometric Methods and Asymptotic Analysis, re?ecting important control areas which have been strongly in- enced and, in some cases, pioneered by Prof. Isidori.
Author: John Bechhoefer Publisher: Cambridge University Press ISBN: 1107001188 Category : Mathematics Languages : en Pages : 661
Book Description
Bridging the basics to recent research advances, this is the ideal learning and reference work for physicists studying control theory.
Author: Michel Devoret Publisher: OUP Oxford ISBN: 0191503177 Category : Science Languages : en Pages : 601
Book Description
This book gathers the lecture notes of courses given at the 2011 summer school in theoretical physics in Les Houches, France, Session XCVI. What is a quantum machine? Can we say that lasers and transistors are quantum machines? After all, physicists advertise these devices as the two main spin-offs of the understanding of quantum mechanical phenomena. However, while quantum mechanics must be used to predict the wavelength of a laser and the operation voltage of a transistor, it does not intervene at the level of the signals processed by these systems. Signals involve macroscopic collective variables like voltages and currents in a circuit or the amplitude of the oscillating electric field in an electromagnetic cavity resonator. In a true quantum machine, the signal collective variables, which both inform the outside on the state of the machine and receive controlling instructions, must themselves be treated as quantum operators, just as the position of the electron in a hydrogen atom. Quantum superconducting circuits, quantum dots, and quantum nanomechanical resonators satisfy the definition of quantum machines. These mesoscopic systems exhibit a few collective dynamical variables, whose fluctuations are well in the quantum regime and whose measurement is essentially limited in precision by the Heisenberg uncertainty principle. Other engineered quantum systems based on natural, rather than artificial degrees of freedom can also qualify as quantum machines: trapped ions, single Rydberg atoms in superconducting cavities, and lattices of ultracold atoms. This book provides the basic knowledge needed to understand and investigate the physics of these novel systems.
Author: Aline I. Maalouf
Author: Aline I. Maalouf
Author: Daoyi Dong
Author: S.Z. Sayed Hassen
Author: Shuang Cong
Author: Andreas Müller
Author: 
Author: Howard M. Wiseman
Author: Alessandro Astolfi
Author: John Bechhoefer
Author: Michel Devoret