Optimal Control of Quantum Gates in an Exactly Solvable Non-Markovian Open Quantum Bit System

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (899 download)

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Book Synopsis Optimal Control of Quantum Gates in an Exactly Solvable Non-Markovian Open Quantum Bit System by : 戴榮身

Download or read book Optimal Control of Quantum Gates in an Exactly Solvable Non-Markovian Open Quantum Bit System written by 戴榮身 and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control of Quantum Systems

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Publisher : John Wiley & Sons
ISBN 13 : 1118608151
Total Pages : 430 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Control of Quantum Systems by : Shuang Cong

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.

Control of Open Quantum System

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (138 download)

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Book Synopsis Control of Open Quantum System by : Jonas Fischer

Download or read book Control of Open Quantum System written by Jonas Fischer and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Usually open quantum systems are considered to be under the influence of noise and therefore faulty. On the other hand, a controlled system is regarded as something stable and predictable. It is often neglected, that the two aspects are very closely related. A perfectly isolated quantum system will not be subject to environmental influences, but this makes it also impossible to interact with it in any manner. Controlling and measuring such a system is impossible and therefore of no technical relevance.Every system used in any technological device therefore must be in contact with its environment. The question, which is the starting point of this thesis is whether it is possible to not only control a system despite of its contact to some environment, but whether there are cases, where this interaction can be necessary, or at least helpful for certain control tasks.The first part of the thesis focuses on such a task, namely the purification of a qubit. Here the environment is essential, in order to serve as an entropy sink. The simplicity of the chosen model allowed us to derive the necessary time for the purification process analytically for arbitrary controls and interactions. This is helpful for architectures, where implementations of various configurations is possible.The second half of the thesis covers more methodogical work. In the example of the qubit reset, we see that the necessary time to perform the task is determined by the coupling between the system and environment. In order to perform such tasks fast, we have to develop a framework, which allows to analyse systems beyond the usual weak-coupling limit. There exists so far no general method for the propagation of such systems, which also allows for thermalisation. The surrogate Hamiltonian method is a promising candidate to capture dynamics beyond the weak-coupling limit and its extension, the stochastic surrogate Hamiltonian, allows for thermalisation. We expand the stochastic surrogate Hamiltonian by introducing a new method of performing stochastic swaps. This method is then tested on a simple example model.

Learning and Robust Control in Quantum Technology

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Publisher : Springer Nature
ISBN 13 : 3031202457
Total Pages : 265 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Learning and Robust Control in Quantum Technology by : Daoyi Dong

Download or read book Learning and Robust Control in Quantum Technology written by Daoyi Dong and published by Springer Nature. This book was released on 2023-03-24 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Optimal Control of Quantum Gate Operations in Open Quantum Systems

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Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (73 download)

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Book Synopsis Optimal Control of Quantum Gate Operations in Open Quantum Systems by : 黃琮暐

Download or read book Optimal Control of Quantum Gate Operations in Open Quantum Systems written by 黃琮暐 and published by . This book was released on 2009 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Thermodynamics and Control of Open Quantum Systems

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Publisher : Cambridge University Press
ISBN 13 : 1107175410
Total Pages : 487 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Thermodynamics and Control of Open Quantum Systems by : Gershon Kurizki

Download or read book Thermodynamics and Control of Open Quantum Systems written by Gershon Kurizki and published by Cambridge University Press. This book was released on 2022-01-13 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Information

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Publisher : John Wiley & Sons
ISBN 13 : 352780577X
Total Pages : 909 pages
Book Rating : 4.5/5 (278 download)

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Book Synopsis Quantum Information by : Dagmar Bruss

Download or read book Quantum Information written by Dagmar Bruss and published by John Wiley & Sons. This book was released on 2019-01-30 with total page 909 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook on the rapidly advancing field introduces readers to the fundamental concepts of information theory and quantum entanglement, taking into account the current state of research and development. It thus covers all current concepts in quantum computing, both theoretical and experimental, before moving on to the latest implementations of quantum computing and communication protocols. It contains problems and exercises and is therefore ideally suited for students and lecturers in physics and informatics, as well as experimental and theoretical physicists in academia and industry who work in the field of quantum information processing. The second edition incorporates important recent developments such as quantum metrology, quantum correlations beyond entanglement, and advances in quantum computing with solid state devices.

Non-Markovian Open Quantum Systems

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (131 download)

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Book Synopsis Non-Markovian Open Quantum Systems by : Maike Gail Zinterl

Download or read book Non-Markovian Open Quantum Systems written by Maike Gail Zinterl and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We examine different nonlinear open quantum systems and calculate the non-Markovianity based on the distinguishability between two density matrices. We show that for a single spin (qubit) coupled to a bosonic field the non-Markovianity depends on the spectral density function and can take on any number N with 0 ≤ N ≤ 1, meaning the dynamics can be Markovian or highly non-Markovian. For the main result we consider a system of Ntot identical spins coupled to an environment in the mean-field way. Each spin is coupled to a local and the common reservoir. There are only indirect interactions between the spins through the common reservoir. In limit Ntot → 1 the subsystem consisting of a fixed set of n particles reduces to a factorized state in which each factor is a single spin evolving according to a nonlinear Hartree-Lindblad equation which is exactly solvable. For non-stationary initial spin states the non-Markovianity diverges. In this instance we can never approximate the dynamics of the quantum system by a Markovian master equation and this implies that in the mean field models, memory effects are significant.

Optimal Control of Multi-Level Quantum Systems

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Publisher : Sudwestdeutscher Verlag Fur Hochschulschriften AG
ISBN 13 : 9783838125206
Total Pages : 132 pages
Book Rating : 4.1/5 (252 download)

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Book Synopsis Optimal Control of Multi-Level Quantum Systems by : Robert M. Fisher

Download or read book Optimal Control of Multi-Level Quantum Systems written by Robert M. Fisher and published by Sudwestdeutscher Verlag Fur Hochschulschriften AG. This book was released on 2011-03 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is concerned with the control of quantum systems. Given a Hamiltonian model of a quantum system, we are interested in finding controls-typically shaped electromagnetic pulses-that steer the evolution toward a desired target operation. For this we employ a numerical optimisation method known as the GRAPE algorithm. For particular experimental systems, we design control schemes that respect constraints of robustness and addressability, and are within the reach of the experimental hardware. Applications include the preparation of cluster states in a system of trapped ions, the implementation of the two-qubit Deutsch and Grover algorithms on a pair of carbon nuclei at a nitrogen-vacancy center in diamond, and the implementation of quantum gates on a grid of coupled superconducting qubits. In some special cases analytical solutions are obtained. The methods applied here are fairly general and can be adapted to a variety of other physical systems and tasks.

Non-Markovian Dynamics of Open Quantum Systems

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (767 download)

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Book Synopsis Non-Markovian Dynamics of Open Quantum Systems by : Christen Herbert Fleming

Download or read book Non-Markovian Dynamics of Open Quantum Systems written by Christen Herbert Fleming and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Markovian Effects in Open Quantum Systems

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Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (436 download)

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Book Synopsis Non-Markovian Effects in Open Quantum Systems by : Jens Eckel

Download or read book Non-Markovian Effects in Open Quantum Systems written by Jens Eckel and published by . This book was released on 2009 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Theory of Non-Markovian Open Quantum Systems

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Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (244 download)

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Book Synopsis The Theory of Non-Markovian Open Quantum Systems by : Cesar Alberto Rodriguez

Download or read book The Theory of Non-Markovian Open Quantum Systems written by Cesar Alberto Rodriguez and published by . This book was released on 2008 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the role of correlations with the environment as the source of non-Markovian quantum evolutions. We first focus on the impact that correlations with the environment can have on the dynamical map that evolve the system. We expand the set of initial states of a system and its environment that are known to guarantee completely positive reduced dynamics for the system when the combined state evolves unitarily. We characterize the correlations in the initial state in terms of its quantum discord. The induced maps can be not completely positive when quantum correlations including, but not limited to, entanglement are present. We discuss the implications and limitations of the Markov approximation necessary to derive the Kossakowski-Lindblad master equation. A generalized non-Markovian master equation is derived from the dynamical map of systems correlated with their environment. The physical meaning of not completely positive maps is studied to obtain a consistent theory of non-Markovian quantum dynamics. These are associated to inverse maps necessary to establish correlations and they give rise to a canonical embedding map that is local in time. This master equation goes beyond the Kossakowski-Lindblad master equation. Non-equilibrium quantum thermodynamics can be be studied within this theory. Through out this discussion, the general dynamics of two interacting qubits is used as an example for illustrations.

Non-Markovian Dynamics of Open Quantum Systems

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Non-Markovian Dynamics of Open Quantum Systems by : Carole Addis

Download or read book Non-Markovian Dynamics of Open Quantum Systems written by Carole Addis and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Non-Markovian Dynamics of Open Quantum Systems in Structured Environments

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)

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Book Synopsis Non-Markovian Dynamics of Open Quantum Systems in Structured Environments by : Adam Burgess

Download or read book Non-Markovian Dynamics of Open Quantum Systems in Structured Environments written by Adam Burgess and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This note is part of Quality testing.

Dynamics of Open Quantum Systems Embedded in a Non-Markovian Environment

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Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Dynamics of Open Quantum Systems Embedded in a Non-Markovian Environment by : Jie Xu

Download or read book Dynamics of Open Quantum Systems Embedded in a Non-Markovian Environment written by Jie Xu and published by . This book was released on 2014 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Global Methods in Optimal Control Theory

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Publisher : CRC Press
ISBN 13 : 9780824793296
Total Pages : 410 pages
Book Rating : 4.7/5 (932 download)

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Book Synopsis Global Methods in Optimal Control Theory by : Vadim Krotov

Download or read book Global Methods in Optimal Control Theory written by Vadim Krotov and published by CRC Press. This book was released on 1995-10-13 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work describes all basic equaitons and inequalities that form the necessary and sufficient optimality conditions of variational calculus and the theory of optimal control. Subjects addressed include developments in the investigation of optimality conditions, new classes of solutions, analytical and computation methods, and applications.

Optimal Control of Quantum Information Tasks in Open Quantum Systems

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (124 download)

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Book Synopsis Optimal Control of Quantum Information Tasks in Open Quantum Systems by : Daniel Basilewitsch

Download or read book Optimal Control of Quantum Information Tasks in Open Quantum Systems written by Daniel Basilewitsch and published by . This book was released on 2020 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: