Quantum Measurement and Control

  • Filename: quantum-measurement-and-control.
  • ISBN: 9780521804424
  • Release Date: 2010
  • Number of pages: 460
  • Author: Howard M. Wiseman
  • Publisher: Cambridge University Press

Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.

Quantum Measurement

  • Filename: quantum-measurement.
  • ISBN: 0521484138
  • Release Date: 1995-05-25
  • Number of pages: 191
  • Author: Vladimir B. Braginsky
  • Publisher: Cambridge University Press

This book is an up-to-date introduction to the quantum theory of measurement. Although the main principles of the field were elaborated in the 1930s by Bohr, Schrödinger, Heisenberg, von Neuman, and Mandelstam, it was not until the 1980s that technology became sufficiently advanced to allow its application in real experiments. Quantum measurement 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 begins with a brief introduction to the relevant theory and goes on to discuss all aspects of the design of practical quantum measurement systems.

Time s Arrows and Quantum Measurement

  • Filename: time-s-arrows-and-quantum-measurement.
  • ISBN: 0521567750
  • Release Date: 1997-07-31
  • Number of pages: 346
  • Author: Lawrence S. Schulman
  • Publisher: Cambridge University Press

An introduction to the arrow of time and a new, related, theory of quantum measurement.

Quantum Measurements and Decoherence

  • Filename: quantum-measurements-and-decoherence.
  • ISBN: 9789401595667
  • Release Date: 2013-04-17
  • Number of pages: 231
  • Author: M. Mensky
  • Publisher: Springer Science & Business Media

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.

Continuous Quantum Measurements and Path Integrals

  • Filename: continuous-quantum-measurements-and-path-integrals.
  • ISBN: 0750302283
  • Release Date: 1993-01-01
  • Number of pages: 188
  • Author: M.B Mensky
  • Publisher: CRC Press

Advances in technology are taking the accuracy of macroscopic as well as microscopic measurements close to the quantum limit, for example, in the attempts to detect gravitational waves. Interest in continuous quantum measurements has therefore grown considerably in recent years. Continuous Quantum Measurements and Path Integrals examines these measurements using Feynman path integrals. The path integral theory is developed to provide formulae for concrete physical effects. The main conclusion drawn from the theory is that an uncertainty principle exists for processes, in addition to the familiar one for states. This implies that a continuous measurement has an optimal accuracy-a balance between inefficient error and large quantum fluctuations (quantum noise). A well-known expert in the field, the author concentrates on the physical and conceptual side of the subject rather than the mathematical.

Quantum Chaos Quantum Measurement

  • Filename: quantum-chaos-quantum-measurement.
  • ISBN: 9789401579797
  • Release Date: 2013-04-17
  • Number of pages: 332
  • Author: Predrag Cvitanovic
  • Publisher: Springer Science & Business Media

This volume contains the proceedings of the NATO Advanced Research Workshop on `Quantum Chaos -- Theory and Experiment', held at the Niels Bohr Institute, University of Copenhagen, from 28 May to 1 June 1991. The work brings together leading quantum chaos theorists and experimentalists and greatly improves our understanding of the physics of quantum systems whose classical limit is chaotic. Quantum chaos is a subject of considerable current interest in a variety of fields, in particular nuclear physics, chemistry, statistical mechanics, atomic physics, condensed matter physics and nonlinear dynamics. The volume contains lectures about the currently most active fronts of quantum chaos, such as scars, semiclassical methods, quantum diffusion, random matrix spectra, quantum chaos in atomic and nuclear physics, and possible implications of quantum chaos for the problem of quantum measurement. Part of the book -- The Physics of Quantum Measurements -- is dedicated to the memory of John Bell.

Quantum Measurement

  • Filename: quantum-measurement.
  • ISBN: 9783319433899
  • Release Date: 2016-08-23
  • Number of pages: 542
  • Author: Paul Busch
  • Publisher: Springer

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 Measurement Theory and its Applications

  • Filename: quantum-measurement-theory-and-its-applications.
  • ISBN: 9781139992190
  • Release Date: 2014-08-14
  • Number of pages:
  • Author: Kurt Jacobs
  • Publisher: Cambridge University Press

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.

A Quantum Measurement Approach to Tunnelling

  • Filename: a-quantum-measurement-approach-to-tunnelling.
  • ISBN: 9789814505055
  • Release Date: 1993-06-17
  • Number of pages: 128
  • Author: Dilip K Roy
  • Publisher: World Scientific

This book presents a new approach to analyze quantum mechanical tunnelling of particles across potential barriers. The conventional concepts of this phenomenon, which are based on a time-in-dependent or a time-dependent perturbation approach are inadequate in furnishing explanations to a number of effects, e.g. (i) the limit of resolution of a field emission macroscope (FEM), (ii) Esaki integral, representing the I-V characteristics of solid-state junctions, (iii) Josephson effect, (iv) tunnelling time, (v) tunnelling current density etc. The new analysis presented here not only provides adequate explanations to all the above mentioned effects but also furnishes an appropriate expression for the tunnelling current density which yields results closer to experimentally observed values. Contents:IntroductionConventional Analysis of the Tunnel EffectTheory of Quantum Measurement and ObservationsTunnelling from the Viewpoint of Quantum Measurement Readership: Condensed matter physicists, researchers in semiconductors and physicists in general. keywords:Tunnelling (Tunneling);Quantum Measurement;Quantum Scattering;Barrier Penetration;Tunnelling Time;WKB Approx.to Tunnelling;Barrier Wavefunction;Tunnelling Current Density;Time-dependent Potential Energy;Kinetic Energy during Tunnelling

Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory

  • Filename: formulation-of-uncertainty-relation-between-error-and-disturbance-in-quantum-measurement-by-using-quantum-estimation-theory.
  • ISBN: 9784431544937
  • Release Date: 2013-12-17
  • Number of pages: 122
  • Author: Yu Watanabe
  • Publisher: Springer Science & Business Media

In this thesis, quantum estimation theory is applied to investigate uncertainty relations between error and disturbance in quantum measurement. The author argues that the best solution for clarifying the attainable bound of the error and disturbance is to invoke the estimation process from the measurement outcomes such as signals from a photodetector in a quantum optical system. The error and disturbance in terms of the Fisher information content have been successfully formulated and provide the upper bound of the accuracy of the estimation. Moreover, the attainable bound of the error and disturbance in quantum measurement has been derived. The obtained bound is determined for the first time by the quantum fluctuations and correlation functions of the observables, which characterize the non-classical fluctuation of the observables. The result provides the upper bound of our knowledge obtained by quantum measurements. The method developed in this thesis will be applied to a broad class of problems related to quantum measurement to build a next-generation clock standard and to successfully detect gravitational waves.

Electromagnetic and Quantum Measurements

  • Filename: electromagnetic-and-quantum-measurements.
  • ISBN: 0792372573
  • Release Date: 2001
  • Number of pages: 373
  • Author: Tore Wessel-Berg
  • Publisher: Springer Science & Business Media

This book presents a generalization of electromagnetism into the bitemporal microcosm, where by hypothesis regular causal relationships do not apply, and time is allowed to flow in both directions. Labeled the Neo-classical Electromagnetic Theory, the proposition is put on a sound formal footing by noting that Maxwell's field equations are valid for positive as well as negative time. The book explores the ramifications of the extra degree of freedom arising from incorporation of negative time elements, which introduce additional boundary conditions modifying orthodox quantum interpretations in a nontrivial way. The theory provides a merger of electromagnetism and quantum theory of photons, applicable to macroscopic as well as microscopic phenomena. Avoiding the hand-waving arguments so often encountered in quantum texts, the book presents detailed analyses of a number of well-known and famous quantum experiments riddled with interpretational dilemmas, such as the double-slit experiments for photons and electrons, the Einstein-Podolsky-Rosen (EPR) paradox, and many more. The investigations turned out to be a fascinating journey into largely unexplored territory, with rewards in the way of resolutions of bizarre puzzles and paradoxes in the quantum family, together with consistent agreements with existing experimental facts. In examples from the macroscopic domain, the book proposes a photonic origin of the enigmatic 1/f noise occurring in all active electronic components and devices, a proposition supported by detailed analysis consistent with existing empirical data. Incorporation of negative time elements into the field equations gives rise to the concept of photon doublets, a composite entity consisting of a bitemporal photon pair of zero net energy, which in the neo-classical theory fills all vacuum space. In this theory the doublet entities replace the so-called Zero Point Fluctuations of conventional quantum theory, which predicts infinite energy density of the vacuum state, an embarrassing concept remaining a puzzle to contemporary physicists, as well as to cosmologists. From its electromagnetic platform the Neo-classical Theory takes the consistent view that quantum phenomena are objective entities, describing these in an overall theoretical framework that can be characterized as an observer-independent quantum theory. From this viewpoint alone the book is an important contribution to the ongoing debate of the true interpretation of the quantum world.

Decoherence and Quantum Measurements

  • Filename: decoherence-and-quantum-measurements.
  • ISBN: 981023077X
  • Release Date: 1997
  • Number of pages: 228
  • Author: Mikio Namiki
  • Publisher: World Scientific

"...considerable background material is given, allowing the volume to serve general educational and reference purposes as well. I can recommend it to anyone wanting an orientation to quantum measurement theory and, in particular, wanting to focus on the Many Hilbert Space Theory".Foundations of Physics, 1999

Uses of Quantum Measurements Conceptual theoretical Frameworks for Measurements and Collapse free Posterior Value Ascriptions

  • Filename: uses-of-quantum-measurements-conceptual-theoretical-frameworks-for-measurements-and-collapse-free-posterior-value-ascriptions.
  • ISBN: 9780542814938
  • Release Date: 2006
  • Number of pages: 187
  • Author:
  • Publisher: ProQuest

Finally, this approach to posterior value ascription yields very nice motivations for the modal interpretation of quantum mechanics.

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