Control of Quantum Mechanical Processes and Systems

Control of Quantum Mechanical Processes and Systems

.'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Author: A.G. Butkovskiy

Publisher: Springer

ISBN: 0792306899

Category: Mathematics

Page: 232

View: 921

'Et moi ..... si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non· The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Categories: Mathematics

Quantum Communication Computing and Measurement 2

Quantum Communication  Computing  and Measurement 2

A. Blaquiere, “Modeling and Control of Systems in Engineering, Quantum Mechanics, Economics and Biosciences,” Springer-Verlag, New York (1989). 4. A. Butkovskiy and Y. Samoilenko, “Control of Quantum-Mechanical Processes and Systems,” ...

Author: Prem Kumar

Publisher: Springer Science & Business Media

ISBN: 9780306470974

Category: Science

Page: 534

View: 341

Based on the Fourth International Conference on Quantum Communication, Measurement and Computing, this volume brings together scientists working in the interdisciplinary fields of quantum communication science and technology. Topics include quantum information theory, quantum computing, stochastic processes and filtering, and quantum measurement theory
Categories: Science

Quantum Probability and Related Topics

Quantum Probability and Related Topics

Conclusions This paper outlines recent results for incoherent control of quantum systems through their interaction with an ... A. G. Butkovskiy and Y. I. Samoilenko Control of Quantum-Mechanical Processes and Systems (Nauka, Moscow, ...

Author: J. C. Garc¡a

Publisher: World Scientific

ISBN: 9789812835260

Category: Mathematics

Page: 288

View: 620

"This volume contains recent results in quantum probability and related topics. The contributions include peer-reviewed papers on interacting Fock space and orthogonal polynomials, quantum Markov semigroups, infinitely divisible processes, free probability, white noise, quantum filtering and control, quantum information, dilations, applications of quantum probability in physics, and quantum and classical models in biology. This diversity reflects the strong and constructive relations between quantum probability and different sectors of mathematics, physics, and other sciences and technologies."--BOOK JACKET.
Categories: Mathematics

Coherent Dynamics of Complex Quantum Systems

Coherent Dynamics of Complex Quantum Systems

I. Samoilenko[38] in the monograph Control of quantum-mechanical processes and systems (1990). Practical methods of control are presented in the monograph by P. W. Brumer, M. Shapiro[34] entitled Principles of the quantum control of ...

Author: Vladimir M. Akulin

Publisher: Springer Science & Business Media

ISBN: 9783540292715

Category: Science

Page: 472

View: 738

Coherent Dynamics of Complex Quantum Systems is aimed at senior-level undergraduate students in the areas of atomic, molecular, and laser physics, physical chemistry, quantum optics and quantum informatics. It should help them put particular problems in these fields into a broader scientific context and thereby take advantage of the well-elaborated technique of the adjacent fields.
Categories: Science

Quantum Information Processing

Quantum Information Processing

[2] F. Albertini and D. D'Alessandro: Notions of Controllability for Bilinear Multilevel Quantum Systems, IEEE Trans. Automat. Control 48 ... I. Samoilenko: Control of Quantum-Mechanical Processes and Systems, Kluwer, Dordrecht, 1990.

Author: Dimitris G. Angelakis

Publisher: IOS Press

ISBN: 9781586036119

Category: Science

Page: 373

View: 482

"The Antikythera mechanism was probably the worlds first analog computer a sophisticated device for calculating the motions of stars and planets. This remarkable assembly of more than 30 gears with a differential mechanism, made on Rhodes or Cos in the first century B.C., revised the view of what the ancient Greeks were capable of creating at that time. A comparable level of engineering didnt become widespread until the industrial revolution nearly two millennia later. This collection of papers provides a good overview of the current state-of-the-art of quantum information science. We do not know how a quantum Antikythera will look like but all we know is that the best way to predict the future is to create it. From the perspective of the future, it may well be that the real computer age has not yet even begun."
Categories: Science

Optimization and Control of Bilinear Systems

Optimization and Control of Bilinear Systems

Thus, we have succeeded in characterizing the control problems of quantum mechanic systems as control problems in ... The importance of establishing quantum-mechanical analogies in order to develop new physical information processing ...

Author: Panos M. Pardalos

Publisher: Springer Science & Business Media

ISBN: 0387736697

Category: Science

Page: 370

View: 834

Covers developments in bilinear systems theory Focuses on the control of open physical processes functioning in a non-equilibrium mode Emphasis is on three primary disciplines: modern differential geometry, control of dynamical systems, and optimization theory Includes applications to the fields of quantum and molecular computing, control of physical processes, biophysics, superconducting magnetism, and physical information science
Categories: Science

Control of Quantum Systems

Control of Quantum Systems

Itisvery important to study the propertiesof quantum mechanical systems andtheir control. ... The improvements in nanotechnology and itsmanufacture process aswell as increasing interests innew applications of quantum effects, ...

Author: Shuang Cong

Publisher: John Wiley & Sons

ISBN: 9781118608159

Category: Technology & Engineering

Page: 448

View: 991

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.
Categories: Technology & Engineering

Theory of Nonclassical States of Light

Theory of Nonclassical States of Light

Automation and Remote Control (1984) 45 1000-1008. [507] Mielnik, B., Evolution loops. J. Math. Phys. (1986) 27 2290-2306. [508] Butkovskii, A.G. and Samoilenko, Y.I., Control of Quantum Mechanical Processes and Systems.

Author: V.V. Dodonov

Publisher: CRC Press

ISBN: 9781482288223

Category: Technology & Engineering

Page: 384

View: 755

The term 'nonclassical states' refers to the quantum states that cannot be produced in the usual sources of light, such as lasers or lamps, rather than those requiring more sophisticated apparatus for their production. Theory of Non-classical States of Light describes the current status of the theory of nonclassical states of light including many new and important results as well as introductory material and the history of the subject. The authors concentrate on the most important types of nonclassical states, namely squeezed, even/odd ('Schrodinger cat') and binomial states, including their generalizations. However, a review of other types of nonclassical is also given in the introduction, and methods for generating nonclassical states on various processes of light-matter interaction, their phase-space description, and the time evolution of nonclassical states in these processes is presented in separate chapters. This contributed volume contains all of the necessary formulae and references required to gain a good understanding of the principles and current status of the field. It will provide a valuable information resource for advanced students and researchers in quantum physics.
Categories: Technology & Engineering

Mathematical Models and Methods for Ab Initio Quantum Chemistry

Mathematical Models and Methods for Ab Initio Quantum Chemistry

I.Samoilenko, “Control of quantum-mechanical processes and systems”, Kluwer,1990 [5] C.W.Churchmann, L.Ackoff, E.Arnoff, "Introduction à la recherche opérationnelle”, Dunod, Paris, 1970 [6] M.Demilrap and H.Rabitz, Phys. Rev.

Author: M. Defranceschi

Publisher: Springer Science & Business Media

ISBN: 9783642572371

Category: Science

Page: 244

View: 602

On the occasion of the fourth International Conference on Industrial and Applied Mathematics!, we decided to organize a sequence of 4 minisymposia devoted to the mathematical aspects and the numerical aspects of Quantum Chemistry. Our goal was to bring together scientists from different communities, namely mathematicians, experts at numerical analysis and computer science, chemists, just to see whether this heterogeneous set of lecturers can produce a rather homogeneous presentation of the domain to an uninitiated audience. To the best of our knowledgde, nothing of this kind had never been tempted so far. It seemed to us that it was the good time for doing it, both . because the interest of applied mathematicians into the world of computational chemistry has exponentially increased in the past few years, and because the community of chemists feels more and more concerned with the numerical issues. Indeed, in the early years of Quantum Chemistry, the pioneers (Coulson, Mac Weeny, just to quote two of them) used to solve fundamental equations modelling toy systems which could be simply numerically handled in view of their very limited size. The true difficulty arose with the need to model larger systems while possibly taking into account their interaction with their environment. Hand calculations were no longer possible, and computing science came into the picture.
Categories: Science

Pareto Optimality Game Theory and Equilibria

Pareto Optimality  Game Theory and Equilibria

Control of Quantum-Mechanical Processes and Systems. Kluwer Academic Publishers, Dordrecht (1990) 5. Cressman, R.: Evolutionary Dynamics and Extensive Form Games. The MIT Press, Massachusetts, London (2003) 6.

Author: Panos M. Pardalos

Publisher: Springer Science & Business Media

ISBN: 9780387772479

Category: Mathematics

Page: 865

View: 600

This comprehensive work examines important recent developments and modern applications in the fields of optimization, control, game theory and equilibrium programming. In particular, the concepts of equilibrium and optimality are of immense practical importance affecting decision-making problems regarding policy and strategies, and in understanding and predicting systems in different application domains, ranging from economics and engineering to military applications. The book consists of 29 survey chapters written by distinguished researchers in the above areas.
Categories: Mathematics