Quantum Measurements and Decoherence

Author: M. Mensky
Publisher: Springer Science & Business Media
ISBN: 9401595666
Format: PDF, ePub
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Quantum measurement (Le., a measurement which is sufficiently precise for quantum effects to be essential) was always one of the most impor tant points in quantum mechanics because it most evidently revealed the difference between quantum and classical physics. Now quantum measure ment is again under active investigation, first of all because of the practical necessity of dealing with highly precise and complicated measurements. The nature of quantum measurement has become understood much bet ter during this new period of activity, the understanding being expressed by the concept of decoherence. This term means a physical process lead ing from a pure quantum state (wave function) of the system prior to the measurement to its state after the measurement which includes classical elements. More concretely, decoherence occurs as a result of the entangle ment of the measured system with its environment and results in the loss of phase relations between components of the wave function of the measured system. Decoherence is essentially nothing else than quantum measurement, but considered from the point of view of its physical mechanism and resolved in time. The present book is devoted to the two concepts of quantum measure ment and decoherence and to their interrelation, especially in the context of continuous quantum measurement.

Mathematical Theory of Feynman Path Integrals

Author: Sergio Albeverio
Publisher: Springer Science & Business Media
ISBN: 3540769544
Format: PDF, ePub, Mobi
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The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

The Structure of Physics

Author: Carl F. von Weizsäcker
Publisher: Springer Science & Business Media
ISBN: 1402052359
Format: PDF, ePub, Docs
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The book is a newly arranged and revised English version of "Aufbau der Physik" by Carl Friedrich von Weizsäcker. Some original chapters and sections have been deleted, and a new chapter about further insights and results of ur-theoretic research of the late 1980’s and 1990’s has been included. Carl Friedrich von Weizsäcker combines the perspectives of science, philosophy, religion and politics with a view towards the challenges as well as the responsibilities of our time.

Principles of Quantum Computation and Information

Author: Giuliano Benenti
Publisher: World Scientific
ISBN: 9814482781
Format: PDF, ePub
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' Quantum computation and information is a new, rapidly developing interdisciplinary field. Therefore, it is not easy to understand its fundamental concepts and central results without facing numerous technical details. This book provides the reader a useful and not-too-heavy guide. It offers a simple and self-contained introduction; no previous knowledge of quantum mechanics or classical computation is required. Volume I may be used as a textbook for a one-semester introductory course in quantum information and computation, both for upper-level undergraduate students and for graduate students. It contains a large number of solved exercises, which are an essential complement to the text, as they will help the student to become familiar with the subject. The book may also be useful as general education for readers who want to know the fundamental principles of quantum information and computation and who have the basic background acquired from their undergraduate course in physics, mathematics, or computer science. Contents:Introduction to Classical ComputationIntroduction to Quantum MechanicsQuantum ComputationQuantum Communication Readership: Upper-level undergraduates and graduate students in physics, mathematics and computer science. Keywords:Quantum Computation;Quantum Information;Quantum Algorithms;Quantum Communication;Quantum Cryptography;Complex Systems;Dynamical Systems;Quantum Chaos;Nanoscience;Quantum OpticsReviews:“The book by Benenti, Casati and Strini is an excellent introduction to the fascinating field of quantum computation and information. The reader is gently introduced to this field starting from the basics in computation and quantum mechanics to the more advanced topics of quantum computation of dynamical systems. The book is written in a very clear way, accessible both to undergraduate and graduate students in physics, computer science and engineering.”Rosario Fazio Scuola Normale Superiore Pisa, Italy “The first volume of the present textbook aims at filling the gap between elementary introductory books and more advanced reference manuals. The choice of topics and the emphasis on concepts rather than mathematical technicalities makes it good choice for an introductory course of Quantum Information Theory for physicists or computer scientists with little background in this area. Of particular interest is the description of the links between quantum computation and quantum chaos, a research area in which the authors are leading experts, a topic rarely treated in introductory textbooks. The present volume is a welcomed addition to the existing choice of textbooks in quantum information theory and quantum computation.”Professor G Massimo Palma University of Milan, Italy “This book gives a clear and exhaustive introduction to quantum computation and quantum communication. Together with the second volume it covers all the main topics in the field of quantum information theory. It is suited for a wide audience, ranging from computer scientists to physicists and engineers. It is an effective self-contained textbook for an introductory course in quantum information theory and a precious tool for researchers who wish to approach the field.”Professor Chiara Macchiavello University of Pavia, Italy “The first volume of the two-volume edition is an introduction to the main concepts of quantum computation and information. The book offers a simple, clear and systematic treatment of qubits, quantum gates, various quantum algorithms and quantum communication. The chapters on classical information theory and quantum mechanics make the book easy to read. The book is recommended to undergraduate as well as graduate students in physics, mathematics and computer science. The large number of exercises is supplemented by solutions. The reader is encouraged for active work.”Professor Ioannis Antoniou Aristotle University of Thessaloniki, Greece “Besides giving an excellent introduction to the field it provides a unique perspective on the blending and cross-fertilization between the methods of quantum information and quantum chaos, both areas in which the authors are leading experts.”Marcos Saraceno Comision Nac. de Energia Atomica, Argentina “The authors have done a very good job, succeeding to present the main topics of this domain with remarkable concision and clarity.”Bertrand Georgeot CNRS/Universite Paul Sabatier, France “This book is, on the whole, well-written and readable. The material is presented concisely, and illustrated with simple examples and exercises … the material in the current book is much more compact and easily learned than the phonebook-sized compendium of Nielsen and Chuang. It could serve well as the text for an introductory course … It also contains numerous exercises, which mostly seem well thought out and appropriate to the material presented.”Mathematical Reviews “Reading this book one remarks from the very beginning that it is outstanding and well formulated with both mathematical and verbal respects … This book is didactically well organized and written in a clear language. It can be best recommended to people to whom it is addressed by the authors.”Zentralblatt MATH '

Quantum Theory Groups and Representations

Author: Peter Woit
Publisher: Springer
ISBN: 3319646125
Format: PDF, Kindle
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This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

The Physics of Reality

Author: Richard L. Amoroso
Publisher: World Scientific
ISBN: 9814504785
Format: PDF, ePub, Mobi
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A truly Galilean-class volume, this book introduces a new method in theory formation, completing the tools of epistemology. It covers a broad spectrum of theoretical and mathematical physics by researchers from over 20 nations from four continents. Like Vigier himself, the Vigier symposia are noted for addressing avant-garde, cutting-edge topics in contemporary physics. Among the six proceedings honoring J.-P. Vigier, this is perhaps the most exciting one as several important breakthroughs are introduced for the first time. The most interesting breakthrough in view of the recent NIST experimental violations of QED is a continuation of the pioneering work by Vigier on tight bound states in hydrogen. The new experimental protocol described not only promises empirical proof of large-scale extra dimensions in conjunction with avenues for testing string theory, but also implies the birth of the field of unified field mechanics, ushering in a new age of discovery. Work on quantum computing redefines the qubit in a manner that the uncertainty principle may be routinely violated. Other breakthroughs occur in the utility of quaternion algebra in extending our understanding of the nature of the fermionic singularity or point particle. There are several other discoveries of equal magnitude, making this volume a must-have acquisition for the library of any serious forward-looking researchers.

Entanglement and Decoherence

Author: Andreas Buchleitner
Publisher: Springer
ISBN: 3540881697
Format: PDF, ePub, Mobi
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Entanglement and (de-)coherence arguably define the central issues of concern in present day quantum information theory. Entanglement being a consequence of the quantum mechanical superposition principle for composite systems, a better understanding of the environment-induced destruction of coherent superposition states is required to devise novel strategies for harvesting quantum interference phenomena. The present book collects a series of advanced lectures on the theoretical foundations of this active research field, from mathematical aspects underlying quantum topology to mesoscopic transport theory. All lectures start out from an elementary level and proceed along a steep learning curve. This makes the material particularly suitable for student seminars on the more fundamental theoretical aspects of quantum information, and equally useful as supplementary reading for advanced lectures on this topic.

Physics Meets Philosophy at the Planck Scale

Author: Craig Callender
Publisher: Cambridge University Press
ISBN: 9780521664455
Format: PDF
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Was the first book to examine the exciting area of overlap between philosophy and quantum mechanics with chapters by leading experts from around the world.