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Author : Giorgio Zicari
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (127 download)
Download or read book Simulation, Characterisation and Control of Open Quantum Systems Dynamics written by Giorgio Zicari and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masoud Mohseni
Publisher :
ISBN 13 : 9780494280799
Total Pages : 496 pages
Book Rating : 4.2/5 (87 download)
Download or read book Characterization and Decoherence Control of Open Quantum Systems written by Masoud Mohseni and published by . This book was released on 2007 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Shuang Cong
Publisher : John Wiley & Sons
ISBN 13 : 1118608151
Total Pages : 430 pages
Book Rating : 4.1/5 (186 download)
Download or read book Control of Quantum Systems written by Shuang Cong and published by John Wiley & Sons. This book was released on 2014-02-27 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Eoin O'Connor
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (142 download)
Download or read book Characterisation and Optimality of Open Quantum System Dynamics written by Eoin O'Connor and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stéphane Attal
Publisher : Springer
ISBN 13 : 3540339221
Total Pages : 347 pages
Book Rating : 4.5/5 (43 download)
Download or read book Open Quantum Systems I written by Stéphane Attal and published by Springer. This book was released on 2006-08-18 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. Significant progress in the understanding of such systems has been made recently. These books present the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.
Author : Stéphane Attal
Publisher : Springer
ISBN 13 : 3540339663
Total Pages : 254 pages
Book Rating : 4.5/5 (43 download)
Download or read book Open Quantum Systems II written by Stéphane Attal and published by Springer. This book was released on 2006-08-29 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. Significant progress in the understanding of such systems has been made recently. These books present the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.
Author : Daniel M. Reich
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (92 download)
Download or read book Efficient Characterisation and Optimal Control of Open Quantum Systems - Mathematical Foundations and Physical Applications written by Daniel M. Reich and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Manuel Gessner
Publisher : Springer
ISBN 13 : 331944459X
Total Pages : 357 pages
Book Rating : 4.3/5 (194 download)
Download or read book Dynamics and Characterization of Composite Quantum Systems written by Manuel Gessner and published by Springer. This book was released on 2016-10-03 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis sheds new light on the fascinating properties of composite quantum systems. Quantum systems of different sizes, ranging from small bipartite systems to large many-body ensembles, can be studied with the help of modern quantum optical experiments. These experiments make it possible to observe a broad variety of striking features, including nonclassical correlations, complex dynamics and quantum phase transitions. By adopting the complementary perspectives of quantum information theory, quantum chemistry and many-body theory, the thesis develops new methods for the efficient characterization and description of interacting, composite quantum systems.
Author : Michael Zwolak
Publisher :
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.:/5 (437 download)
Download or read book Dynamics and Simulation of Open Quantum Systems written by Michael Zwolak and published by . This book was released on 2008 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stéphane Attal
Publisher : Springer Science & Business Media
ISBN 13 : 3540309934
Total Pages : 326 pages
Book Rating : 4.5/5 (43 download)
Download or read book Open Quantum Systems III written by Stéphane Attal and published by Springer Science & Business Media. This book was released on 2006-06-07 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements.
Author : Cecilia Carolina López
Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.:/5 (565 download)
Download or read book Scalable Approaches to the Characterization of Open Quantum System Dynamics written by Cecilia Carolina López and published by . This book was released on 2009 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the biggest challenges in the physical realization of quantum information processing (QIP) is the precise control of the system. In order to achieve this, we characterize the gates, errors, and noise occurring in experimental setups. In this thesis we develop and further study characterization methods, putting particular emphasis on the scalability problem: O(D4) parameters describe the dynamics of an open quantum system of dimension D, thus O(D4) resources are in principle required to characterize it -- which is a problem in QIP where the desired systems are large (D = 2n for n qubits). We first study the fidelity decay (also called Loschmidt echo) of the system, for many steps under the progressive randomization due to a one-qubit twirl. We show how this quantity encodes useful information about the process begin twirled. We then present a method to measure the magnitude of the multi-body correlations that scales as O(nw), when only up to w-body interactions are expected among the n qubits. We implemented this method in a four-qubit liquid-state Nuclear Magnetic Resonance (NMR) QIP device, demonstrating its potential and feasibility. The experimental work also pointed out the need for robust procedures and the role of implementation errors, while deepening our knowledge of NMR QIP dynamics. We also report on several practical aspects of the experiment, including details on twirls using random rotations and Clifford operators. We furthermore relate this work to recent developments in the community, arriving to a more comprehensive protocol and establishing an intrinsic hierarchy of characterization algorithms. Finally, we study the many-step fidelity decay when using a flawed twirl, thus acknowledging the most realistic scenario where we have a faulty device attempting to characterize itself. Our preliminary work points towards the use of a many-step scheme that promises robust scalable tools to characterize the twirl operators themselves.
Author : Daniel M. Reich
Publisher :
ISBN 13 :
Total Pages : 178 pages
Book Rating : 4.:/5 (92 download)
Download or read book Efficient Characterisation and Optimal Control of Open Quantum Systems - Mathematical Foundations and Physical Applications written by Daniel M. Reich and published by . This book was released on 2015 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bassano Vacchini
Publisher : Springer Nature
ISBN 13 : 3030311465
Total Pages : 113 pages
Book Rating : 4.0/5 (33 download)
Download or read book Advances in Open Systems and Fundamental Tests of Quantum Mechanics written by Bassano Vacchini and published by Springer Nature. This book was released on 2019-11-01 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics has shown unprecedented success as a physical theory, but it has forced a new view on the description of physical reality. In recent years, important progress has been achieved both in the theory of open quantum systems and in the experimental realization and control of such systems. A great deal of the new results is concerned with the characterization and quantification of quantum memory effects. From this perspective, the 684. WE-Heraeus-Seminar has brought together scientists from different communities, both theoretical and experimental, sharing expertise on open quantum systems, as well as the commitment to the understanding of quantum mechanics. This book consists of many contributions addressing the diversified physics community interested in foundations of quantum mechanics and its applications and it reports about recent results in open quantum systems and their connection with the most advanced experiments testing quantum mechanics.
Author : Arunangshu Debnath
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (872 download)
Download or read book Dynamics and Control of Open Quantum Systems written by Arunangshu Debnath and published by . This book was released on 2013 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis work analyses aspects of dissipative quantum dynamics, with a view to look for further possibilities of controlling the dynamics with shaped laser pulses. The first part concerns the problem of efficient population transfer in mesoscopic zero-dimensional solid state systems - InAs quantum dots embedded in GaAs matrix. In these systems the consequences of laser driving induced dissipation of exciton dynamics are analyzed, in relation to adiabatic population transfer. Specifically, the problem of robust creation of exciton and biexciton states are addressed through numerical simulations and analytical approaches using a non-Markovian density matrix based analysis, suitable for dealing with dissipative quantum dynamics under strong laser fields. A physical picture describing phonon induced dissipation among dressed state has emerged as a consistent interpretation of the underlying dynamics. Furthermore, suitable parameter regimes where efficient population transfer can be achieved are proposed. The second part deals with the population transfer to high lying vibrational states of the CO stretching mode of carboxy-hemoglobin molecule in the native protein environment. On the basis of a fluctuating potential for the CO stretching mode, ultrafast pump-probe spectra are simulated using quantum wave packet propagation. To this end, Local Control Theory was employed to find design a set of laser pulses which accomplish the 'vibrational ladder climbing' and selective state preparation despite the detrimental fluctuations induced by the protein environment. These results will be providing benchmarks for the future experimental efforts.
Author : Stéphane Attal
Publisher : Springer
ISBN 13 : 9783540309918
Total Pages : 329 pages
Book Rating : 4.3/5 (99 download)
Download or read book Open Quantum Systems I written by Stéphane Attal and published by Springer. This book was released on 2006-06-07 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. Significant progress in the understanding of such systems has been made recently. These books present the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications.
Author : Subhashish Banerjee
Publisher : Texts and Readings in Physical
ISBN 13 : 9789811348150
Total Pages : 298 pages
Book Rating : 4.3/5 (481 download)
Download or read book Open Quantum Systems written by Subhashish Banerjee and published by Texts and Readings in Physical. This book was released on 2019-11-26 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems. Open quantum systems is the study of quantum dynamics of the system of interest, taking into account the effects of the ambient environment. It is ubiquitous in the sense that any system could be envisaged to be surrounded by its environment which could naturally exert its influence on it. Open quantum systems allows for a systematic understanding of irreversible processes such as decoherence and dissipation, of the essence in order to have a correct understanding of realistic quantum dynamics and also for possible implementations. This would be essential for a possible development of quantum technologies.
Author : Ángel Rivas
Publisher : Springer Science & Business Media
ISBN 13 : 3642233546
Total Pages : 103 pages
Book Rating : 4.6/5 (422 download)
Download or read book Open Quantum Systems written by Ángel Rivas and published by Springer Science & Business Media. This book was released on 2011-10-01 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume the fundamental theory of open quantum systems is revised in the light of modern developments in the field. A unified approach to the quantum evolution of open systems is presented by merging concepts and methods traditionally employed by different communities, such as quantum optics, condensed matter, chemical physics and mathematical physics. The mathematical structure and the general properties of the dynamical maps underlying open system dynamics are explained in detail. The microscopic derivation of dynamical equations, including both Markovian and non-Markovian evolutions, is also discussed. Because of the step-by-step explanations, this work is a useful reference to novices in this field. However, experienced researches can also benefit from the presentation of recent results.
