Quantum Stochastics And Information: Statistics, Filtering And Control

Quantum Stochastics And Information: Statistics, Filtering And Control PDF Author: Viacheslav P Belavkin
Publisher: World Scientific
ISBN: 981451828X
Category : Science
Languages : en
Pages : 410

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Book Description
Quantum stochastic calculus has become an indispensable tool in modern quantum physics, its effectiveness being illustrated by recent developments in quantum control which place the calculus at the heart of the theory. Quantum statistics is rapidly taking shape as an intrinsically quantum counterpart to classical statistics, motivated by advances in quantum engineering and the need for better statistical inference tools for quantum systems.This volume contains a selection of regular research articles and reviews by leading researchers in quantum control, quantum statistics, quantum probability and quantum information. The selection offers a unified view of recent trends in quantum stochastics, highlighting the common mathematical language of Hilbert space operators, and the deep connections between classical and quantum stochastic phenomena.

Quantum Stochastics And Information: Statistics, Filtering And Control

Quantum Stochastics And Information: Statistics, Filtering And Control PDF Author: Viacheslav P Belavkin
Publisher: World Scientific
ISBN: 981451828X
Category : Science
Languages : en
Pages : 410

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Book Description
Quantum stochastic calculus has become an indispensable tool in modern quantum physics, its effectiveness being illustrated by recent developments in quantum control which place the calculus at the heart of the theory. Quantum statistics is rapidly taking shape as an intrinsically quantum counterpart to classical statistics, motivated by advances in quantum engineering and the need for better statistical inference tools for quantum systems.This volume contains a selection of regular research articles and reviews by leading researchers in quantum control, quantum statistics, quantum probability and quantum information. The selection offers a unified view of recent trends in quantum stochastics, highlighting the common mathematical language of Hilbert space operators, and the deep connections between classical and quantum stochastic phenomena.

Quantum Stochastics and Information

Quantum Stochastics and Information PDF Author: V. P. Belavkin
Publisher: World Scientific
ISBN: 9812832955
Category : Science
Languages : en
Pages : 410

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Book Description
Quantum stochastic calculus has become an indispensable tool in modern quantum physics, its effectiveness being illustrated by recent developments in quantum control which place the calculus at the heart of the theory. Quantum statistics is rapidly taking shape as an intrinsically quantum counterpart to classical statistics, motivated by advances in quantum engineering and the need for better statistical inference tools for quantum systems. This volume contains a selection of regulear research articles and reviews by leading researchers in quantum control, quantum statistics, quantum probability and quantum information. The selection offers a unified view of recent trends in quantum stochastics, highlighting the common mathematical language of Hilbert space operators, and the deep connections between classical and quantum stochastic phenomena.

Linear Dynamical Quantum Systems

Linear Dynamical Quantum Systems PDF Author: Hendra I Nurdin
Publisher: Springer
ISBN: 3319552015
Category : Technology & Engineering
Languages : en
Pages : 273

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Book Description
This monograph provides an in-depth treatment of the class of linear-dynamical quantum systems. The monograph presents a detailed account of the mathematical modeling of these systems using linear algebra and quantum stochastic calculus as the main tools for a treatment that emphasizes a system-theoretic point of view and the control-theoretic formulations of quantum versions of familiar problems from the classical (non-quantum) setting, including estimation and filtering, realization theory, and feedback control. Both measurement-based feedback control (i.e., feedback control by a classical system involving a continuous-time measurement process) and coherent feedback control (i.e., feedback control by another quantum system without the intervention of any measurements in the feedback loop) are treated. Researchers and graduates studying systems and control theory, quantum probability and stochastics or stochastic control whether from backgrounds in mechanical or electrical engineering or applied mathematics will find this book to be a valuable treatment of the control of an important class of quantum systems. The material presented here will also interest physicists working in optics, quantum optics, quantum information theory and other quantum-physical disciplines.

Quantum Measurement and Control

Quantum Measurement and Control PDF Author: Howard M. Wiseman
Publisher: Cambridge University Press
ISBN: 0521804426
Category : Mathematics
Languages : en
Pages : 477

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

Quantum Information Theory

Quantum Information Theory PDF Author: Masahito Hayashi
Publisher: Springer
ISBN: 3662497255
Category : Computers
Languages : en
Pages : 672

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Book Description
This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption. Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics – all of which are addressed here – made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation. With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained. Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information. To aid in understanding, each chapter is accompanied by a set of exercises and solutions.

Statistical Dynamics: A Stochastic Approach To Nonequilibrium Thermodynamics (2nd Edition)

Statistical Dynamics: A Stochastic Approach To Nonequilibrium Thermodynamics (2nd Edition) PDF Author: Streater Ray F
Publisher: World Scientific Publishing Company
ISBN: 191129847X
Category : Science
Languages : en
Pages : 392

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Book Description
How can one construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved and entropy increases with time? This book answers the question for classical probability (Part I) and quantum probability (Part II). A novel feature is the introduction of heat particles which supply thermal noise and represent the kinetic energy of the molecules. When applied to chemical reactions, the theory leads to the usual nonlinear reaction-diffusion equations as well as modifications of them. These can exhibit oscillations, or can converge to equilibrium.In this second edition, the text is simplified in parts and the bibliography has been expanded. The main difference is the addition of two new chapters; in the first, classical fluid dynamics is introduced. A lattice model is developed, which in the continuum limit gives us the Euler equations. The five Navier-Stokes equations are also presented, modified by a diffusion term in the continuity equation. The second addition is in the last chapter, which now includes estimation theory, both classical and quantum, using information geometry.

Advances in Atomic, Molecular, and Optical Physics

Advances in Atomic, Molecular, and Optical Physics PDF Author:
Publisher: Academic Press
ISBN: 012812184X
Category : Science
Languages : en
Pages : 642

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Book Description
Advances in Atomic, Molecular, and Optical Physics, Volume 66 provides a comprehensive compilation of recent developments in a field that is in a state of rapid growth. New to this volume are chapters devoted to 2D Coherent Spectroscopy of Electronic Transitions, Nonlinear and Quantum Optical Properties and Applications of Intense Twin-Beams, Non-classical Light Generation from III-V and Group-IV Solid-State Cavity Quantum Systems, Trapping Atoms with Radio Frequency Adiabatic Potentials, Quantum Control of Optomechanical Systems, and Efficient Description of Bose–Einstein Condensates in Time-Dependent Rotating Traps. With timely articles written by distinguished experts that contain relevant review materials and detailed descriptions of important developments in the field, this series is a must have for those interested in the variety of topics covered. Presents the work of international experts in the field Contains comprehensive articles that compile recent developments in a field that is experiencing rapid growth, with new experimental and theoretical techniques emerging Ideal for users interested in optics, excitons, plasmas, and thermodynamics Topics covered include atmospheric science, astrophysics, surface physics, and laser physics, amongst others

Statistical Dynamics

Statistical Dynamics PDF Author: R. F. Streater
Publisher: Imperial College Press
ISBN: 1848162448
Category : Science
Languages : en
Pages : 393

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Book Description
How can one construct dynamical systems obeying the first and second laws of thermodynamics: mean energy is conserved and entropy increases with time? This book answers the question for classical probability (Part I) and quantum probability (Part II). A novel feature is the introduction of heat particles which supply thermal noise and represent the kinetic energy of the molecules. When applied to chemical reactions, the theory leads to the usual nonlinear reaction-diffusion equations as well as modifications of them. These can exhibit oscillations, or can converge to equilibrium.In this second edition, the text is simplified in parts and the bibliography has been expanded. The main difference is the addition of two new chapters; in the first, classical fluid dynamics is introduced. A lattice model is developed, which in the continuum limit gives us the Euler equations. The five Navier-Stokes equations are also presented, modified by a diffusion term in the continuity equation. The second addition is in the last chapter, which now includes estimation theory, both classical and quantum, using information geometry.

Stochastics, Control and Robotics

Stochastics, Control and Robotics PDF Author: Harish Parthasarathy
Publisher: CRC Press
ISBN: 1000425932
Category : Mathematics
Languages : en
Pages : 491

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Book Description
This book discusses various problems in stochastic Processes, Control Theory, Electromagnetics, Classical and Quantum Field Theory & Quantum Stochastics. The problems are chosen to motivate the interested reader to learn more about these subjects from other standard sources. Stochastic Process theory is applied to the study of differential equations of mechanics subject to external noise. Some issues in general relativity like Geodesic motion, field theory in curved space time etc. are discussed via isolated problems. The more recent quantum stochastic process theory as formulated by R.L. Hudson and K. R. Parathasarathy is discussed. This provides a non commutative operator theoretic version of stochastic process theory. V.P. Belavkin's approach to quantum filtering based on non demolition measurements and Hudson Parathasarathy calculus has been discussed in detail. Quantum versions of the simple exclusion model in Markov process theory have been included. 3D Robots carring a current density interacting with an external Klein- Gordon or Electromagnetic field has been given some attention. The readers will after going through this book, be ready to carry out independent research in classical and quantum field theory and stochastic processes as applied to practical problems. Note: T&F does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka.

Quantum Bio-informatics Ii: From Quantum Information To Bio-informatics

Quantum Bio-informatics Ii: From Quantum Information To Bio-informatics PDF Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9814467782
Category : Science
Languages : en
Pages : 357

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Book Description
The purpose of this proceedings volume is to look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, research for new paradigms for information and life sciences on the basis of quantum theory. The main areas in this volume are all related to one of the following subjects: (1) mathematical foundation of quantum mechanics, (2) quantum information, (3) quantum algorithm and computation, (4) quantum communication, (5) white noise analysis and quantum dynamics, (6) chaos dynamics and adaptive dynamics, (7) experimental studies of quantum computer, (8) bio-informatics and (9) genome analysis.