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Author : Howard M. Wiseman
Publisher : Cambridge University Press
Page : 477 pages
File Size : 21,9 MB
Release : 2010
Category : Mathematics
ISBN : 0521804426
Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.
Author : Shuang Cong
Publisher : John Wiley & Sons
Page : 430 pages
File Size : 39,20 MB
Release : 2014-02-27
Category : Technology & Engineering
ISBN : 1118608151
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 : Hendra I Nurdin
Publisher : Springer
Page : 273 pages
File Size : 31,20 MB
Release : 2017-05-11
Category : Technology & Engineering
ISBN : 3319552015
This monograph provides an in-depth treatment of the class of linear-dynamical quantum systems. The monograph presents a detailed account of the mathematical modeling of these systems using linear algebra and quantum stochastic calculus as the main tools for a treatment that emphasizes a system-theoretic point of view and the control-theoretic formulations of quantum versions of familiar problems from the classical (non-quantum) setting, including estimation and filtering, realization theory, and feedback control. Both measurement-based feedback control (i.e., feedback control by a classical system involving a continuous-time measurement process) and coherent feedback control (i.e., feedback control by another quantum system without the intervention of any measurements in the feedback loop) are treated. Researchers and graduates studying systems and control theory, quantum probability and stochastics or stochastic control whether from backgrounds in mechanical or electrical engineering or applied mathematics will find this book to be a valuable treatment of the control of an important class of quantum systems. The material presented here will also interest physicists working in optics, quantum optics, quantum information theory and other quantum-physical disciplines.
Author : Gernot Schaller
Publisher : Springer
Page : 215 pages
File Size : 31,27 MB
Release : 2014-01-07
Category : Science
ISBN : 331903877X
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.
Author : Gopal Pudipeddi Sarma
Publisher :
Page : pages
File Size : 22,25 MB
Release : 2013
Category :
ISBN :
The control of quantum dynamics in which feedback is accomplished via coherent, all-optical signal processing suggests the possibility of mature, engineered quantum systems that are technologically homogeneous and in which both plant and controller are quantum systems. In this thesis, I give a focused case study of several systems in which feedback control of the system dynamics is accomplished entirely through field-mediated, coherent signal processing. I describe some recently developed theoretical tools for modeling individual and networks of open quantum systems, and analyze the applications of coherent quantum feedback to squeezed-light generation and quantum error correction.
Author : Zibo Miao
Publisher :
Page : 0 pages
File Size : 30,11 MB
Release : 2015
Category :
ISBN :
Quantum engineering has seen rapid growth in the past two decades. Physicists, mathematicians and engineers have been working in unison to control a number of diverse systems in the quantum regime. Quantum control involving feedback has become particularly topical, as using information gained from a system can lead to more stable operation of a control protocol. Quantum feedback can be split into two paradigms: measurement based feedback and coherent feedback. Although it is increasingly evident that retaining the coherence of the feedback signal provides an intrinsic advantage over measurement-based feedback, coherent feedback is still a new paradigm. In particular, there are a limited number of options for coherently estimating a state within a feedback loop. As a step towards better understanding and implementation of quantum feedback, this thesis reports on modelling, estimation and control of quantum systems. The first topic is physical realisability of a variety of quantum systems, especially finite level systems and their outgrowths. Bilinear quantum stochastic differential equations (QSDEs) have to be employed to characterise these systems, which is a significant complement to the previous work on linear QSDEs. In light of the fact that direct and indirect couplings play a vital role in quantum network and control, we also provide state-space models for different classes of coupled open quantum systems incorporating both bidirectional and directional interactions. The second topic is coherent observers and optimal filtering. It is well established that classically estimation using the Kalman filter can provide improved performance over direct feedback schemes, and similar demonstrations have been performed for measurement-based quantum feedback. In this thesis I present coherent observers, including least mean squares estimators, which are driven by the coherent output of a specified quantum plant and designed such that some subset of the observer and plant's expectation values converge in the asymptotic limit. Not only can estimators "observe" mean quantities of quantum plant, but also they can "estimate" quantum correlations such as entanglement. This is of much importance to coherent feedback design in the absence of measurement steps without loss of fidelity. Last but not least, several topics regarding stabilisation and control design of quantum systems are discussed in my thesis. To be specific, tools for quantum stability analysis (e.g. Lyapunov conditions) are provided. Both measurement-based feedback and coherent feedback control design are taken into account. A measurement-based optimal controller for opto-mechanical systems aimed at synchronising different mechanical modes is presented, which is application-oriented. Moreover, A general observer-based coherent feedback control framework is studied, and I demonstrate a pole-placement approach via coherent observers that can be applied to various scenarios.
Author : Kurt Jacobs
Publisher : Cambridge University Press
Page : 729 pages
File Size : 27,13 MB
Release : 2014-08-14
Category : Science
ISBN : 1139992198
Recent experimental advances in the control of quantum superconducting circuits, nano-mechanical resonators and photonic crystals has meant that quantum measurement theory is now an indispensable part of the modelling and design of experimental technologies. This book, aimed at graduate students and researchers in physics, gives a thorough introduction to the basic theory of quantum measurement and many of its important modern applications. Measurement and control is explicitly treated in superconducting circuits and optical and opto-mechanical systems, and methods for deriving the Hamiltonians of superconducting circuits are introduced in detail. Further applications covered include feedback control, metrology, open systems and thermal environments, Maxwell's demon, and the quantum-to-classical transition.
Author : Gershon Kurizki
Publisher : Cambridge University Press
Page : 487 pages
File Size : 15,92 MB
Release : 2022-01-13
Category : Science
ISBN : 1107175410
The theory of open quantum systems is developed from first principles, and a detailed discussion of real quantum devices is also covered. This unique and self-contained book is accessible to graduate students and researchers working in atomic physics, quantum information, condensed matter physics, and quantum chemistry.
Author : Narayan Ganesan
Publisher :
Page : 139 pages
File Size : 31,31 MB
Release : 2006
Category :
ISBN : 9781109887471
Decoherence, which is caused due to the interaction of a quantum system with its environment plagues all quantum systems and leads to the loss of quantum properties that are vital for quantum computation and quantum information processing. In this work we propose a novel strategy using techniques from systems theory to completely eliminate decoherence and also provide conditions under which it can be done so. A novel construction employing an auxiliary system, the bait, which is instrumental to decoupling the system from the environment is presented. Almost all the earlier work on decoherence control employ density matrix and stochastic master equations to analyze the problem. Our approach to decoherence control involves the bilinear input affine model of quantum control system which lends itself to various techniques from classical control theory, but with non-trivial modifications to the quantum regime. The elegance of this approach yields interesting results on open loop decouplability and Decoherence Free Subspaces (DFS). Additionally, the feedback control of decoherence may be related to disturbance decoupling for classical input affine systems, which entails careful application of the methods by avoiding all the quantum mechanical pitfalls. The two concepts are contrasted and an improved theory of disturbance decoupling for general input affine systems is developed. In the process of calculating a suitable feedback the system has to be restructured due to its tensorial nature of interaction with the environment, which is unique to quantum systems. Finally the results are also shown to be superior to the ones obtained via master equations. In order to apply feedback a reliable information extraction scheme is presented that employs continuous indirect measurements with the help of a quantum probe. Finally, a methodology to synthesize feedback parameters itself is given, that technology permitting, could be implemented for practical 2-qubit systems to perform decoherence free Quantum Computing.
Author : S.Z. Sayed Hassen
Publisher :
Page : 231 pages
File Size : 20,70 MB
Release : 2010
Category : Open systems (Physics)
ISBN :
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.