Quantum Trajectories And Measurements In Continuous Time
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Quantum Trajectories And Measurements In Continuous Time
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Author : Alberto Barchielli
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-21
Quantum Trajectories And Measurements In Continuous Time written by Alberto Barchielli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-21 with Language Arts & Disciplines categories.
This course-based monograph introduces the reader to the theory of continuous measurements in quantum mechanics and provides some benchmark applications. The approach chosen, quantum trajectory theory, is based on the stochastic Schrödinger and master equations, which determine the evolution of the a-posteriori state of a continuously observed quantum system and give the distribution of the measurement output. The present introduction is restricted to finite-dimensional quantum systems and diffusive outputs. Two appendices introduce the tools of probability theory and quantum measurement theory which are needed for the theoretical developments in the first part of the book. First, the basic equations of quantum trajectory theory are introduced, with all their mathematical properties, starting from the existence and uniqueness of their solutions. This makes the text also suitable for other applications of the same stochastic differential equations in different fields such as simulations of master equations or dynamical reduction theories. In the next step the equivalence between the stochastic approach and the theory of continuous measurements is demonstrated. To conclude the theoretical exposition, the properties of the output of the continuous measurement are analyzed in detail. This is a stochastic process with its own distribution, and the reader will learn how to compute physical quantities such as its moments and its spectrum. In particular this last concept is introduced with clear and explicit reference to the measurement process. The two-level atom is used as the basic prototype to illustrate the theory in a concrete application. Quantum phenomena appearing in the spectrum of the fluorescence light, such as Mollow’s triplet structure, squeezing of the fluorescence light, and the linewidth narrowing, are presented. Last but not least, the theory of quantum continuous measurements is the natural starting point to develop a feedback control theory in continuous time for quantum systems. The two-level atom is again used to introduce and study an example of feedback based on the observed output.
Quantum Measurement
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Author : Andrew N. Jordan
language : en
Publisher: Cambridge University Press
Release Date : 2024-02-15
Quantum Measurement written by Andrew N. Jordan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-15 with Mathematics categories.
A novel, physics-first approach to quantum measurement, using physical experiments to describe the underlying mathematical formalism.
Quantum Probability And Related Topics Proceedings Of The 30th Conference
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Author : Rolando Rebolledo
language : en
Publisher: World Scientific
Release Date : 2011-01-19
Quantum Probability And Related Topics Proceedings Of The 30th Conference written by Rolando Rebolledo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-19 with Mathematics categories.
This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.
Quantum Probability And Related Topics
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Author : Rolando Rebolledo
language : en
Publisher: World Scientific
Release Date : 2011
Quantum Probability And Related Topics written by Rolando Rebolledo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.
Quantum Measurement And Control
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Author : Howard M. Wiseman
language : en
Publisher: Cambridge University Press
Release Date : 2010
Quantum Measurement And Control written by Howard M. Wiseman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.
Photonics Volume 1
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Author : David L. Andrews
language : en
Publisher: John Wiley & Sons
Release Date : 2015-01-16
Photonics Volume 1 written by David L. Andrews and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-16 with Technology & Engineering categories.
Covers modern photonics accessibly and discusses the basic physical principles underlying all the applications and technology of photonics. This volume covers the basic physical principles underlying the technology and all applications of photonics from statistical optics to quantum optics. The topics discussed in this volume are: Photons in perspective; Coherence and Statistical Optics; Complex Light and Singular Optics; Electrodynamics of Dielectric Media; Fast and slow Light; Holography; Multiphoton Processes; Optical Angular Momentum; Optical Forces, Trapping and Manipulation; Polarization States; Quantum Electrodynamics; Quantum Information and Computing; Quantum Optics; Resonance Energy Transfer; Surface Optics; Ultrafast Pulse Phenomena. Comprehensive and accessible coverage of the whole of modern photonics Emphasizes processes and applications that specifically exploit photon attributes of light Deals with the rapidly advancing area of modern optics Chapters are written by top scientists in their field Written for the graduate level student in physical sciences; Industrial and academic researchers in photonics, graduate students in the area; College lecturers, educators, policymakers, consultants, Scientific and technical libraries, government laboratories, NIH.
Open Quantum Systems
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Author : Bassano Vacchini
language : en
Publisher: Springer Nature
Release Date : 2024-12-30
Open Quantum Systems written by Bassano Vacchini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-30 with Science categories.
The proposed book is a bridge between the foundations of quantum mechanics and the theory of open quantum systems. The treatment of open quantum systems is a rapidly growing subject, of interest to an ever-increasing number of scientists. The main focus is on overcoming the idealization of perfect isolation of a quantum system, so as to allow for a more realistic treatment and to provide the relevant background for the development of quantum technologies. The book is addressed to students and researchers in the field of open quantum systems and more generally quantum mechanics, a wide community of physicists, mathematicians, and chemists. It is devised both to enter the field and to prepare a series of lectures or a one-semester course on the topic.
Quantum Probability And Related Topics
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Author : Luigi Accardi
language : en
Publisher: World Scientific
Release Date : 2013
Quantum Probability And Related Topics written by Luigi Accardi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory. This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications. Tools and techniques presented here will be of great value to researchers.
Quantum Information And Foundations
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Author : Giacomo Mauro D’Ariano
language : en
Publisher: MDPI
Release Date : 2020-03-23
Quantum Information And Foundations written by Giacomo Mauro D’Ariano and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-23 with Mathematics categories.
Quantum information has dramatically changed information science and technology, looking at the quantum nature of the information carrier as a resource for building new information protocols, designing radically new communication and computation algorithms, and ultra-sensitive measurements in metrology, with a wealth of applications. From a fundamental perspective, this new discipline has led us to regard quantum theory itself as a special theory of information, and has opened routes for exploring solutions to the tension with general relativity, based, for example, on the holographic principle, on non-causal variations of the theory, or else on the powerful algorithm of the quantum cellular automaton, which has revealed new routes for exploring quantum fields theory, both as a new microscopic mechanism on the fundamental side, and as a tool for efficient physical quantum simulations for practical purposes. In this golden age of foundations, an astonishing number of new ideas, frameworks, and results, spawned by the quantum information theory experience, have revolutionized the way we think about the subject, with a new research community emerging worldwide, including scientists from computer science and mathematics.
Quantum Probability And Related Topics
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Author : Franco Fagnola
language : en
Publisher: World Scientific
Release Date : 2013
Quantum Probability And Related Topics written by Franco Fagnola and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This volume contains the current research in quantum probability, infinite dimensional analysis and related topics. Contributions by experts in these fields highlight the latest developments and interdisciplinary connections with classical probability, stochastic analysis, white noise analysis, functional analysis and quantum information theory.This diversity shows how research in quantum probability and infinite dimensional analysis is very active and strongly involved in the modern mathematical developments and applications.Tools and techniques presented here will be of great value to resear.