[PDF] Control Of Decoherence In Open Quantum Systems Using Feedback eBook

Author : Narayan Ganesan
Publisher :
Page : 139 pages
File Size : 25,88 MB
Release : 2006
Category :
ISBN : 9781109887471

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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 : Shuang Cong
Publisher : John Wiley & Sons
Page : 430 pages
File Size : 47,6 MB
Release : 2014-02-27
Category : Technology & Engineering
ISBN : 1118608151

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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.

Author : Gernot Schaller
Publisher : Springer
Page : 215 pages
File Size : 12,19 MB
Release : 2014-01-07
Category : Science
ISBN : 331903877X

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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.

Author : Gershon Kurizki
Publisher : Cambridge University Press
Page : 487 pages
File Size : 36,67 MB
Release : 2022-01-13
Category : Science
ISBN : 1107175410

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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 : Masoud Mohseni
Publisher :
Page : 496 pages
File Size : 38,37 MB
Release : 2007
Category :
ISBN : 9780494280799

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An optimal quantum algorithm for "direct characterization of quantum dynamics" (DCQD) is introduced. The DCQD method can be utilized to completely determine the quantum dynamical superoperator acting on an open quantum system. In contrast to all other known quantum process tomography (QPT) schemes, this scheme relies on error-detection techniques and does not require any quantum state tomography. By analysis of the number of required experimental configurations and quantum operations in a given Hilbert space, it is demonstrated that this approach is more efficient than all other known QPT schemes. DCQD can be applied, by construction, to the task of partial characterization of quantum dynamics. Specifically, it is demonstrated that the DCQD algorithm can be efficiently used for Hamiltonian identification, and also for simultaneous determination of both the relaxation time T1 and dephasing time T2. Furthermore, it is argued that the DCQD scheme is experimentally implementable in a variety of prominent quantum information processing systems, and it is explicitly shown how it can be physically realized in photonic systems with present day technology. The ability of a quantum system to perform arbitrary or "universal" quantum operations is restricted to its naturally available/controllable interactions. It is shown that quantum systems with an effective exchange interaction can be made operationally universal by utilizing a subspace or a subsystem of the combined principal system and an auxiliary system. Moreover, it is demonstrated that universal fault-tolerant quantum computation can be performed on these systems without utilizing any form of single-qubit control. Characterization and control of open quantum systems are among the central and fundamental problems in quantum physics. A crucial primitive is the characterization of the dynamics of a quantum system that has an unknown interaction with its embedding environment. Another essential task is to control the decoherence of an open quantum system by using naturally available interactions. This thesis addresses the above fundamental problems in two separate parts. In the first part, a general theory for direct and complete characterization of quantum dynamics is introduced. In the second part, a scheme for performing arbitrary quantum operations on spin-based quantum systems is presented. This scheme can be implemented in the presence of environmental noise and faulty quantum operations without need to control the state of spins individually.

Author : Alessandro Astolfi
Publisher : Springer Science & Business Media
Page : 485 pages
File Size : 30,5 MB
Release : 2007-11-13
Category : Technology & Engineering
ISBN : 3540743588

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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 : Howard M. Wiseman
Publisher : Cambridge University Press
Page : 477 pages
File Size : 19,93 MB
Release : 2010
Category : Mathematics
ISBN : 0521804426

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Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.

Author : Nikolett Német
Publisher :
Page : 239 pages
File Size : 35,81 MB
Release : 2019
Category : Coherence (Optics)
ISBN :

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In this Thesis we consider various quantum systems in a resonator where coherent feedback of one of the output fields into another input channel is applied without any measurements performed on the field. A finite time delay associated with propagation is considered as an important control parameter. In the short-delay regime, where the output field is fed back before the resonator field decays away, most properties are determined by the interference between the returning and the emitted field. Constructive and destructive interference results in an enhanced or suppressed decay of the resonator field, respectively. The reduced emission of the resonator is found to cause enhanced quantum behaviour of the system, such as the preservation of atomic coherence, enhanced negativity in the Wigner function or the recovery of revivals after a coherent-state collapse. In the long-delay regime, where all the resonator field decays away before the output field is fed back, the specific value of the time delay has a much greater impact. Altered dynamics e.g., emergence of stable periodic solutions, and modified characteristic properties such as frequency or strength of inherent quantum features, e.g., squeezing or entanglement are demonstrated. The specific structure of the feedback reservoir also influences the observed characteristics. Continuous-mode feedback is intrinsically lossy, and thus, the fine balance created between the loss and the feedback gain results in recovered Rabi oscillations for an open Jaynes-Cummings system. A discrete-mode structure, on the other hand, can preserve the atomic excitation in the same setup. The coupled system scheme where two Fabry-Perot cavities containing atoms are coupled by an optical fibre inherently involves a discrete-mode time-delayed coherent feedback. The transmission and reflection spectra of such a setup has been studied experimentally by Prof. Takao Aoki’s group in the weak-driving regime. These results can mostly be recovered using the normal modes of the single-mode master equation. For a more accurate description we consider a transfer matrix approach which applies even for long cavity lengths and reduced mirror reflectances. Finally, a numerical method based on matrix product states is applied to study the non-Markovian features of the dynamics in this system.

Author : Mikio Nakahara
Publisher : World Scientific
Page : 202 pages
File Size : 20,47 MB
Release : 2010
Category : Science
ISBN : 9814295833

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While innovative ideas and creative works increasingly drive economic success, the historic approach to encouraging innovation and creativity by granting property rights has come under attack by a growing number of legal theorists and technologists. In Laws of Creation, Ronald Cass and Keith Hylton take on these critics with a vigorous defense of intellectual property law. The authors look closely at the IP doctrines that have been developed over many years in patent, copyright, trademark, and trade secret law. In each area, legislatures and courts have weighed the benefits that come from preserving incentives to innovate against the costs of granting innovators a degree of control over specific markets. Over time, the authors show, a set of rules has emerged that supports wealth-creating innovation while generally avoiding overly expansive, growth-retarding licensing regimes. These rules are now under pressure from detractors who claim that changing technology undermines the case for intellectual property rights. But Cass and Hylton explain how technological advances only strengthen that case. In their view, the easier it becomes to copy innovations, the harder to detect copies and to stop copying, the greater the disincentive to invest time and money in inventions and creative works. The authors argue convincingly that intellectual property laws help create a society that is wealthier and inspires more innovation than those of alternative legal systems. Ignoring the social value of intellectual property rights and making what others create and nurture âeoefreeâe would be a costly mistake indeed.