Quantum Measurement

Author : Paul Busch
Publisher : Springer
ISBN 13 : 331943389X
Total Pages : 542 pages
Book Rating : 4.99/5 ( download)

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Download or read book Quantum Measurement written by Paul Busch and published by Springer. This book was released on 2016-08-23 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Kurt Jacobs
Publisher : Cambridge University Press
ISBN 13 : 1139992198
Total Pages : 982 pages
Book Rating : 4.90/5 ( download)

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Download or read book Quantum Measurement Theory and its Applications written by Kurt Jacobs and published by Cambridge University Press. This book was released on 2014-08-14 with total page 982 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Howard M. Wiseman
Publisher : Cambridge University Press
ISBN 13 : 0521804426
Total Pages : 477 pages
Book Rating : 4.24/5 ( download)

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Download or read book Quantum Measurement and Control written by Howard M. Wiseman and published by Cambridge University Press. This book was released on 2010 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.

Author : Vladimir B. Braginsky
Publisher : Cambridge University Press
ISBN 13 : 9780521484138
Total Pages : 216 pages
Book Rating : 4.38/5 ( download)

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Download or read book Quantum Measurement written by Vladimir B. Braginsky and published by Cambridge University Press. This book was released on 1995-05-25 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an up-to-date introduction to the quantum theory of measurement, a fast developing field of intense current interest to scientists and engineers for its potential high-technology applications. It is also a subject of importance to students for its central role in the foundations of quantum mechanics. Although the main principles of the field were elaborated in the 1930s by Bohr, Schrodinger, Heisenberg, von Neumann and Mandelstam, it was not until the 1980s that technology became sufficiently advanced to allow its application in real experiments. Quantum measurements is now central to many ultra-high technology developments, such as squeezed light, single atom traps, and searches for gravitational radiation. It is also considered to have great promise for computer science and engineering, particularly for its applications in information processing and transfer. The book contains a pedagogical introduction to the relevant theory written at a level accessible to those with only a modest background in quantum mechanics. It then goes on to discuss aspects of the design of practical quantum measurement systems. This book is essential reading for all scientists and engineers interested in the potential applications of technology near the quantum limit. It will also serve as an ideal supplement to standard quantum mechanics textbooks at the advanced undergraduate or graduate level.

Author : Christian Beck
Publisher : Springer Nature
ISBN 13 : 3030675335
Total Pages : 392 pages
Book Rating : 4.32/5 ( download)

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Download or read book Local Quantum Measurement and Relativity written by Christian Beck and published by Springer Nature. This book was released on 2021-08-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats various aspects of the quantum theory of measurement, partially in a relativistic framework. Measurement(-like) processes in quantum theory are identified and analysed; and the quantum operator formalism is derived in full generality without postulating operators as observables. Consistency conditions are derived, expressing the requirement of Lorentz-frame independence of outcomes of spacelike separated measurements and implying the impossibility of using quantum nonlocality to send signals faster than light. Local commutativity is scrutinized. The localization problem of relativistic quantum theory is studied, including comprehensive derivation of the theorems of Hegerfeld, Malament and Reeh-Schlieder. Finally, the quantum formalism is derived from the dynamics of particles with definite positions in Bohmian mechanics.

Author : Lawrence S. Schulman
Publisher : Cambridge University Press
ISBN 13 : 9780521567756
Total Pages : 370 pages
Book Rating : 4.50/5 ( download)

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Download or read book Time's Arrows and Quantum Measurement written by Lawrence S. Schulman and published by Cambridge University Press. This book was released on 1997-07-31 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the arrow of time and a new, related, theory of quantum measurement.

Author : Leonard Susskind
Publisher : Basic Books (AZ)
ISBN 13 : 0465036678
Total Pages : 386 pages
Book Rating : 4.77/5 ( download)

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Download or read book Quantum Mechanics written by Leonard Susskind and published by Basic Books (AZ). This book was released on 2014-02-25 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the bestselling author of The Theoretical Minimum, a DIY introduction to the math and science of quantum physics First he taught you classical mechanics. Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics. In this follow-up to The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics’ weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area. Like The Theoretical Minimum, this volume runs parallel to Susskind’s eponymous Stanford University-hosted continuing education course. An approachable yet rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.

Author : J. Hamhalter
Publisher : Springer Science & Business Media
ISBN 13 : 9401701199
Total Pages : 412 pages
Book Rating : 4.98/5 ( download)

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Download or read book Quantum Measure Theory written by J. Hamhalter and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first systematic treatment of measures on projection lattices of von Neumann algebras. It presents significant recent results in this field. One part is inspired by the Generalized Gleason Theorem on extending measures on the projection lattices of von Neumann algebras to linear functionals. Applications of this principle to various problems in quantum physics are considered (hidden variable problem, Wigner type theorems, decoherence functional, etc.). Another part of the monograph deals with a fascinating interplay of algebraic properties of the projection lattice with the continuity of measures (the analysis of Jauch-Piron states, independence conditions in quantum field theory, etc.). These results have no direct analogy in the standard measure and probability theory. On the theoretical physics side, they are instrumental in recovering technical assumptions of the axiomatics of quantum theories only by considering algebraic properties of finitely additive measures (states) on quantum propositions.

Author : Michael Steiner
Publisher :
ISBN 13 : 9781732291003
Total Pages : 492 pages
Book Rating : 4.04/5 ( download)

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Download or read book The Quantum Measurement Problem written by Michael Steiner and published by . This book was released on 2018-08-17 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : David Z. ALBERT
Publisher : Harvard University Press
ISBN 13 : 0674020146
Total Pages : 219 pages
Book Rating : 4.46/5 ( download)

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Download or read book Quantum Mechanics and Experience written by David Z. ALBERT and published by Harvard University Press. This book was released on 2009-06-30 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This account of the foundations of quantum mechanics is an introduction accessible to anyone with high school mathematics, and provides a rigorous discussion of important recent advances in the understanding of quantum physics, including theories put forward by the author himself.