Quantum Measurement

Quantum Measurement

Author: Paul Busch

Publisher: Springer

Published: 2016-08-23

Total Pages: 544

ISBN-13: 331943389X

DOWNLOAD EBOOK

This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann’s classic treatise with this title. Fundamental non-classical features of quantum mechanics—indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement, nonlocality—are explicated and analysed using the tools of operational quantum theory. The book is divided into four parts: 1. Mathematics provides a systematic exposition of the Hilbert space and operator theoretic tools and relevant measure and integration theory leading to the Naimark and Stinespring dilation theorems; 2. Elements develops the basic concepts of quantum mechanics and measurement theory with a focus on the notion of approximate joint measurability; 3. Realisations offers in-depth studies of the fundamental observables of quantum mechanics and some of their measurement implementations; and 4. Foundations discusses a selection of foundational topics (quantum-classical contrast, Bell nonlocality, measurement limitations, measurement problem, operational axioms) from a measurement theoretic perspective. The book is addressed to physicists, mathematicians and philosophers of physics with an interest in the mathematical and conceptual foundations of quantum physics, specifically from the perspective of measurement theory.


Quantum Processes and Measurement

Quantum Processes and Measurement

Author: Claude Fabre

Publisher: Cambridge University Press

Published: 2023-07-31

Total Pages: 316

ISBN-13: 1108788122

DOWNLOAD EBOOK

This accessible and self-contained text presents the essential theoretical techniques developed to describe quantum processes, alongside a detailed review of the devices and experimental methods required in quantum measurement. Ideal for advanced undergraduate and graduate students seeking to extend their knowledge of the physics underlying quantum technologies, the book develops a thorough understanding of quantum measurement theory, quantum processes and the evolution of quantum states. A wide range of basic quantum systems are discussed, including atoms, ions, photons, and more complex macroscopic quantum devices such as opto-mechanical systems and superconducting circuits. Quantum phenomena are also covered in detail, from entanglement and quantum jumps, to quantum fluctuations in optical systems. Numerous problems at the end of each chapter problems enable the reader to consolidate key theoretical concepts and to develop their understanding of the most widely-used experimental techniques.


Quantum Processes Systems, and Information

Quantum Processes Systems, and Information

Author: Benjamin Schumacher

Publisher: Cambridge University Press

Published: 2010-03-25

Total Pages: 482

ISBN-13: 9780521875349

DOWNLOAD EBOOK

A new and exciting approach to the basics of quantum theory, this undergraduate textbook contains extensive discussions of conceptual puzzles and over 800 exercises and problems. Beginning with three elementary 'qubit' systems, the book develops the formalism of quantum theory, addresses questions of measurement and distinguishability, and explores the dynamics of quantum systems. In addition to the standard topics covered in other textbooks, it also covers communication and measurement, quantum entanglement, entropy and thermodynamics, and quantum information processing. This textbook gives a broad view of quantum theory by emphasizing dynamical evolution, and exploring conceptual and foundational issues. It focuses on contemporary topics, including measurement, time evolution, open systems, quantum entanglement, and the role of information.


Quantum Measurement Theory and its Applications

Quantum Measurement Theory and its Applications

Author: Kurt Jacobs

Publisher: Cambridge University Press

Published: 2014-08-14

Total Pages: 729

ISBN-13: 1139992198

DOWNLOAD EBOOK

Recent experimental advances in the control of quantum superconducting circuits, nano-mechanical resonators and photonic crystals has meant that quantum measurement theory is now an indispensable part of the modelling and design of experimental technologies. This book, aimed at graduate students and researchers in physics, gives a thorough introduction to the basic theory of quantum measurement and many of its important modern applications. Measurement and control is explicitly treated in superconducting circuits and optical and opto-mechanical systems, and methods for deriving the Hamiltonians of superconducting circuits are introduced in detail. Further applications covered include feedback control, metrology, open systems and thermal environments, Maxwell's demon, and the quantum-to-classical transition.


Quantum Theory and Measurement

Quantum Theory and Measurement

Author: John Archibald Wheeler

Publisher: Princeton University Press

Published: 2014-07-14

Total Pages: 841

ISBN-13: 1400854555

DOWNLOAD EBOOK

The forty-nine papers collected here illuminate the meaning of quantum theory as it is disclosed in the measurement process. Together with an introduction and a supplemental annotated bibliography, they discuss issues that make quantum theory, overarching principle of twentieth-century physics, appear to many to prefigure a new revolution in science. Originally published in 1983. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.


Picturing Quantum Processes

Picturing Quantum Processes

Author: Bob Coecke

Publisher: Cambridge University Press

Published: 2017-03-16

Total Pages: 847

ISBN-13: 1108107710

DOWNLOAD EBOOK

The unique features of the quantum world are explained in this book through the language of diagrams, setting out an innovative visual method for presenting complex theories. Requiring only basic mathematical literacy, this book employs a unique formalism that builds an intuitive understanding of quantum features while eliminating the need for complex calculations. This entirely diagrammatic presentation of quantum theory represents the culmination of ten years of research, uniting classical techniques in linear algebra and Hilbert spaces with cutting-edge developments in quantum computation and foundations. Written in an entertaining and user-friendly style and including more than one hundred exercises, this book is an ideal first course in quantum theory, foundations, and computation for students from undergraduate to PhD level, as well as an opportunity for researchers from a broad range of fields, from physics to biology, linguistics, and cognitive science, to discover a new set of tools for studying processes and interaction.


Quantum Measurements and Decoherence

Quantum Measurements and Decoherence

Author: M. Mensky

Publisher: Springer Science & Business Media

Published: 2000-03-31

Total Pages: 252

ISBN-13: 9780792362272

DOWNLOAD EBOOK

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.


The Quantum Measurement Problem

The Quantum Measurement Problem

Author: Michael Steiner

Publisher:

Published: 2018-08-17

Total Pages: 492

ISBN-13: 9781732291003

DOWNLOAD EBOOK

The Quantum Measurement Problem (QMP) is a single resource for information on the QMP and it establishes a basis for research on what is arguably the most well-known and still-unresolved scientific problem: how does our observed world relate to the quantum? The book is suitable for both undergraduate level study on a selective basis as well as graduate level study and for use as a resource for research scientists interested in aspects of the QMP. There are many sections that can even be profitably read by the general public to appreciate the history and future importance of the QMP. Although many books are now available that adequately address Quantum Information, this is the first book offering a comparable treatment for the QMP. The QMP has a companion website, https: //theqmp.com, with video presentations and other resources. There are some in the physics community that view the QMP only as a problem that requires an interpretation while others view its solution as essential to complete our physical description of the world and enhance our ability to design experimental probes of its physical elements in terms of quantum physics. This book critically examines these two viewpoints and resolves this dichotomy in favor of the latter viewpoint. The problem is precisely defined in terms of experimental operations and the scientific requirements that a resolution would have to meet. It explains why the QMP is a physical problem that requires more than an interpretation for its resolution and why a solution could have profound implications for physics as well as other fields. In particular, it uses quantum information methods for a constructive demonstration that unitary Schrödinger processes can be experimentally distinguished from measurement processes using well-established techniques such as Bell measurements, which would establish that measurement is a non-unitary process. Neither Schrödinger's equation nor the measurement postulate is found to be sufficient to explain measurement. For the first time, The QMP offers a single resource that thoroughly assesses the strengths and weaknesses of the major approaches to the QMP. . The exposition in The QMP contains eight chapters, including problem sets, with dual tracks throughout the book that allow both those with a technical background in quantum physics or quantum information as well as less-technical readers to come up to speed on the QMP, depending on their interests and background. . Chapters 1 and 2 are an introductory-level presentation of wave-particle duality and unitary Schrödinger processes. Chapter 3 is a key chapter that uses quantum information methods for a constructive demonstration that unitary Schrödinger processes can be experimentally distinguished from measurement processes using well-established techniques such as Bell measurements, which would establish that measurement is a non-unitary process. Chapter 4 presents a detailed definition of the QMP in terms of experimental observations and uses the results of Chapter 3 to systematically evaluate the strength and weaknesses of all the major approaches to the QMP in the literature and determine which constitute physical theories as opposed to philosophical interpretations. Chapter 5 gives an uncensored historical perspective leading to the development of quantum physics from the viewpoint of those physical aspects which will ultimately form the elements of the QMP. Chapter 6 presents a unique discussion of the Scientific Method and how the use of scientific deduction within the approach of radical conservatism can most proficiently address problems of quantum foundations. Chapter 7 presents concepts and mathematical tools useful for further research developments of both closed and open system approaches to the QMP. Chapter 8 presents conclusions and the status of the QMP for moving forward.


Quantum Communication, Computing, and Measurement

Quantum Communication, Computing, and Measurement

Author: Osamu Hirota

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 521

ISBN-13: 1461559235

DOWNLOAD EBOOK

This volume contains the proceedings of the Third International Conference on Quantum Communication and Measurement. The series of international conferences on quantum communication and measurement was established to encourage scientists working in the interdisciplinary research fields of quantum communication science and technology. The first such conference, organized by C. Benjaballah and O. Hirota under the title "Quantum Aspects of Optical Communication," assembled approximately 80 researchers in Paris in 1990. The second conference, held in Nottingham in 1994, was organized by V. P. Belavkin, R. L. Hudson, and O. Hirota and attracted about 130 participants from 22 countries. The present conference, organized by O. Hirota, A. S. Holevo, C. M. Caves, H. P. Yuen, and L. Accardi, was heldSeptember 25-30, 1996, in Fuji-Hakone Land, Japan, andjnvolved about 120 researchers from 15 countries. The topics at this third conference included the foundations of quantum communi cation and information theory, quantum measurement theory, quantum cryptography and quantum computation, quantum devices and high-precision measurements, gener ation of nonclassical light, and atom optics. Special emphasis was placed on bringing together research workers in experimental and engineering fields of quantum commu nication and quantum computing and theoreticians working in quantum measurement and information theory. Nineteen plenary and parallel sessions and one poster ses sion were organized, at which a total of 82 papers were presented. Interesting and stimulating scientific discussions took place between and after sessions as well as in the evenings.