Asymptotic Theory Of Quantum Statistical Inference: Selected Papers

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Publisher : World Scientific
ISBN 13 : 981448198X
Total Pages : 553 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Asymptotic Theory Of Quantum Statistical Inference: Selected Papers by : Masahito Hayashi

Download or read book Asymptotic Theory Of Quantum Statistical Inference: Selected Papers written by Masahito Hayashi and published by World Scientific. This book was released on 2005-02-21 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990; the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s).This book presents the important and recent results of quantum statistical inference. It focuses on the asymptotic theory, which is one of the central issues of mathematical statistics and had not been investigated in quantum statistical inference until the early 1980s. It contains outstanding papers after Holevo's textbook, some of which are of great importance but are not available now.The reader is expected to have only elementary mathematical knowledge, and therefore much of the content will be accessible to graduate students as well as research workers in related fields. Introductions to quantum statistical inference have been specially written for the book. Asymptotic Theory of Quantum Statistical Inference: Selected Papers will give the reader a new insight into physics and statistical inference.

Asymptotic Theory of Quantum Statistical Inference

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Publisher :
ISBN 13 :
Total Pages : 542 pages
Book Rating : 4.:/5 (13 download)

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Book Synopsis Asymptotic Theory of Quantum Statistical Inference by : Dagmar Bruss (physicien).)

Download or read book Asymptotic Theory of Quantum Statistical Inference written by Dagmar Bruss (physicien).) and published by . This book was released on 2005 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Selected Papers on Probability and Statistics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821848216
Total Pages : 243 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Selected Papers on Probability and Statistics by :

Download or read book Selected Papers on Probability and Statistics written by and published by American Mathematical Soc.. This book was released on 2009 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains translations of papers that originally appeared in the Japanese journal Sugaku. The papers range over a variety of topics in probability theory, statistics, and applications. This volume is suitable for graduate students and research mathematicians interested in probability and statistics.

Quantum Stochastics and Information

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Publisher : World Scientific
ISBN 13 : 9812832955
Total Pages : 410 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Quantum Stochastics and Information by : V. P. Belavkin

Download or read book Quantum Stochastics and Information written by V. P. Belavkin and published by World Scientific. This book was released on 2008 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Information Theory

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Publisher : Springer
ISBN 13 : 3662497255
Total Pages : 672 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Quantum Information Theory by : Masahito Hayashi

Download or read book Quantum Information Theory written by Masahito Hayashi and published by Springer. This book was released on 2016-11-03 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Theory from First Principles

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Publisher : Cambridge University Press
ISBN 13 : 1107043425
Total Pages : 359 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Quantum Theory from First Principles by : Giacomo Mauro D'Ariano

Download or read book Quantum Theory from First Principles written by Giacomo Mauro D'Ariano and published by Cambridge University Press. This book was released on 2017-01-28 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new presentation of quantum theory and quantum information based on fundamental principles, for anyone seeking a deeper understanding of the subject.

Finite Sample Analysis in Quantum Estimation

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Publisher : Springer Science & Business Media
ISBN 13 : 4431547770
Total Pages : 125 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Finite Sample Analysis in Quantum Estimation by : Takanori Sugiyama

Download or read book Finite Sample Analysis in Quantum Estimation written by Takanori Sugiyama and published by Springer Science & Business Media. This book was released on 2014-01-15 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis, the author explains the background of problems in quantum estimation, the necessary conditions required for estimation precision benchmarks that are applicable and meaningful for evaluating data in quantum information experiments, and provides examples of such benchmarks. The author develops mathematical methods in quantum estimation theory and analyzes the benchmarks in tests of Bell-type correlation and quantum tomography with those methods. Above all, a set of explicit formulae for evaluating the estimation precision in quantum tomography with finite data sets is derived, in contrast to the standard quantum estimation theory, which can deal only with infinite samples. This is the first result directly applicable to the evaluation of estimation errors in quantum tomography experiments, allowing experimentalists to guarantee estimation precision and verify quantitatively that their preparation is reliable.

Introduction to Quantum Information Science

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Publisher : Springer
ISBN 13 : 3662435020
Total Pages : 338 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Introduction to Quantum Information Science by : Masahito Hayashi

Download or read book Introduction to Quantum Information Science written by Masahito Hayashi and published by Springer. This book was released on 2014-08-22 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum cryptography. The required knowledge is only elementary calculus and linear algebra. This way the book can be understood by undergraduate students. In order to study quantum information, one usually has to study the foundation of quantum theory. This book describes it from more an operational viewpoint which is suitable for quantum information while traditional textbooks of quantum theory lack this viewpoint. The current book bases on Shor's algorithm, Grover's algorithm, Deutsch-Jozsa's algorithm as basic algorithms. To treat several topics in quantum information, this book covers several kinds of information quantities in quantum systems including von Neumann entropy. The limits of several kinds of quantum information processing are given. As important quantum protocols, this book contains quantum teleportation, quantum dense coding, quantum data compression. In particular conversion theory of entanglement via local operation and classical communication are treated too. This theory provides the quantification of entanglement, which coincides with von Neumann entropy. The next part treats the quantum hypothesis testing. The decision problem of two candidates of the unknown state are given. The asymptotic performance of this problem is characterized by information quantities. Using this result, the optimal performance of classical information transmission via noisy quantum channel is derived. Quantum information transmission via noisy quantum channel by quantum error correction are discussed too. Based on this topic, the secure quantum communication is explained. In particular, the quantification of quantum security which has not been treated in existing book is explained. This book treats quantum cryptography from a more practical viewpoint.

Thermodynamics in the Quantum Regime

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Publisher : Springer
ISBN 13 : 3319990462
Total Pages : 998 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Thermodynamics in the Quantum Regime by : Felix Binder

Download or read book Thermodynamics in the Quantum Regime written by Felix Binder and published by Springer. This book was released on 2019-04-01 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Thermodynamics is a novel research field which explores the emergence of thermodynamics from quantum theory and addresses thermodynamic phenomena which appear in finite-size, non-equilibrium and finite-time contexts. Blending together elements from open quantum systems, statistical mechanics, quantum many-body physics, and quantum information theory, it pinpoints thermodynamic advantages and barriers emerging from genuinely quantum properties such as quantum coherence and correlations. Owing to recent experimental efforts, the field is moving quickly towards practical applications, such as nano-scale heat devices, or thermodynamically optimised protocols for emergent quantum technologies. Starting from the basics, the present volume reviews some of the most recent developments, as well as some of the most important open problems in quantum thermodynamics. The self-contained chapters provide concise and topical introductions to researchers who are new to the field. Experts will find them useful as a reference for the current state-of-the-art. In six sections the book covers topics such as quantum heat engines and refrigerators, fluctuation theorems, the emergence of thermodynamic equilibrium, thermodynamics of strongly coupled systems, as well as various information theoretic approaches including Landauer's principle and thermal operations. It concludes with a section dedicated to recent quantum thermodynamics experiments and experimental prospects on a variety of platforms ranging from cold atoms to photonic systems, and NV centres.

Liberating Sociology: From Newtonian Toward Quantum Imaginations: Volume 1: Unriddling the Quantum Enigma

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Author :
Publisher : Ahead Publishing House (imprint: Okcir Press)
ISBN 13 : 164098013X
Total Pages : 1000 pages
Book Rating : 4.6/5 (49 download)

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Book Synopsis Liberating Sociology: From Newtonian Toward Quantum Imaginations: Volume 1: Unriddling the Quantum Enigma by : Mohammad H. Tamdgidi

Download or read book Liberating Sociology: From Newtonian Toward Quantum Imaginations: Volume 1: Unriddling the Quantum Enigma written by Mohammad H. Tamdgidi and published by Ahead Publishing House (imprint: Okcir Press). This book was released on 2020-01-20 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this major new study in the sociology of scientific knowledge, social theorist Mohammad H. Tamdgidi reports having unriddled the so-called ‘quantum enigma.’ This book opens the lid of the Schrödinger’s Cat box of the ‘quantum enigma’ after decades and finds something both odd and familiar: Not only the cat is both alive and dead, it has morphed into an elephant in the room in whose interpretation Einstein, Bohr, Bohm, and others were each both right and wrong because the enigma has acquired both localized and spread-out features whose unriddling requires both physics and sociology amid both transdisciplinary and transcultural contexts. The book offers, in a transdisciplinary and transcultural sociology of self-knowledge framework, a relativistic interpretation to advance a liberating quantum sociology. Deeper methodological grounding to further advance the sociological imagination requires investigating whether and how relativistic and quantum scientific revolutions can induce a liberating reinvention of sociology in favor of creative research and a just global society. This, however, necessarily leads us to confront an elephant in the room, the ‘quantum enigma.’ In Unriddling the Quantum Enigma, the first volume of the series commonly titled Liberating Sociology: From Newtonian toward Quantum Imaginations, sociologist Mohammad H. Tamdgidi argues that unriddling the ‘quantum enigma’ depends on whether and how we succeed in dehabituating ourselves in favor of unified relativistic and quantum visions from the historically and ideologically inherited, classical Newtonian modes of imagining reality that have subconsciously persisted in the ways we have gone about posing and interpreting (or not) the enigma itself for more than a century. Once this veil is lifted and the enigma unriddled, he argues, it becomes possible to reinterpret the relativistic and quantum ways of imagining reality (including social reality) in terms of a unified, nonreductive, creative dialectic of part and whole that fosters quantum sociological imaginations, methods, theories, and practices favoring liberating and just social outcomes. The essays in this volume develop a set of relativistic interpretive solutions to the quantum enigma. Following a survey of relevant studies, and an introduction to the transdisciplinary and transcultural sociology of self-knowledge framing the study, overviews of Newtonianism, relativity and quantum scientific revolutions, the quantum enigma, and its main interpretations to date are offered. They are followed by a study of the notion of the “wave-particle duality of light” and the various experiments associated with the quantum enigma in order to arrive at a relativistic interpretation of the enigma, one that is shown to be capable of critically cohering other offered interpretations. The book concludes with a heuristic presentation of the ontology, epistemology, and methodology of what Tamdgidi calls the creative dialectics of reality. The volume essays involve critical, comparative/integrative reflections on the relevant works of founding and contemporary scientists and scholars in the field. This study is the first in the monograph series “Tayyebeh Series in East-West Research and Translation” of Human Architecture: Journal of the Sociology of Self-Knowledge (XIII, 2020), published by OKCIR: Omar Khayyam Center for Integrative Research in Utopia, Mysticism, and Science (Utopystics). OKCIR is dedicated to exploring, in a simultaneously world-historical and self-reflective framework, the human search for a just global society. It aims to develop new conceptual (methodological, theoretical, historical), practical, pedagogical, inspirational and disseminative structures of knowledge whereby the individual can radically understand and determine how world-history and her/his selves constitute one another. Reviews “Mohammad H. Tamdgidi’s Liberating Sociology: From Newtonian Toward Quantum Imaginations, Volume 1, Unriddling the Quantum Enigma hits the proverbial nail on the head of an ongoing problem not only in sociology but also much social science—namely, many practitioners’ allegiance, consciously or otherwise, to persisting conceptions of ‘science’ that get in the way of scientific and other forms of theoretical advancement. Newtonianism has achieved the status of an idol and its methodology a fetish, the consequence of which is an ongoing failure to think through important problems of uncertainty, indeterminacy, multivariation, multidisciplinarity, and false dilemmas of individual agency versus structure, among many others. Tamdgidi has done great service to social thought by bringing to the fore this problem of disciplinary decadence and offering, in effect, a call for its teleological suspension—thinking beyond disciplinarity—through drawing upon and communicating with the resources of quantum theory not as a fetish but instead as an opening for other possibilities of social, including human, understanding. The implications are far-reaching as they offer, as the main title attests, liberating sociology from persistent epistemic shackles and thus many disciplines and fields connected to things ‘social.’ This is exciting work. A triumph! The reader is left with enthusiasm for the second volume and theorists of many kinds with proverbial work to be done.” — Professor Lewis R. Gordon, Honorary President of the Global Center for Advanced Studies and author of Disciplinary Decadence: Living Thought in Trying Times (Routledge/Paradigm, 2006), and Freedom, Justice, and Decolonization (Routledge, forthcoming 2020) "Social sciences are still using metatheoretical models of science based on 19th century newtonian concepts of "time and space". Mohammad H. Tamdgidi has produced a 'tour de force' in social theory leaving behind the old newtonian worldview that still informs the social sciences towards a 21st century non-dualistic, non-reductionist, transcultural, transdisciplinary, post-Einsteinian quantum concept of TimeSpace. Tamdgidi goes beyond previous efforts done by titans of social theory such as Immanuel Wallerstein and Kyriakos Kontopoulos. This book is a quantum leap in the social sciences at large. Tamdgidi decolonizes the social sciences away from its Eurocentric colonial foundations bringing it closer not only to contemporary natural sciences but also to its convergence with the old Eastern philosophical and mystical worldviews. This book is a masterpiece in social theory for a 21st century decolonial social science. A must read!" — Professor Ramon Grosfoguel, University of California at Berkeley​​​​​​​ "Tamdgidi’s Liberating Sociology succeeds in adding physical structures to the breadth of the world-changing vision of C. Wright Mills, the man who mentored me at Columbia. Relativity theory and quantum mechanics can help us to understand the human universe no less than the physical universe. Just as my Creating Life Before Death challenges bureaucracy’s conformist orientation, so does Liberating Sociology“liberate the infinite possibilities inherent in us.” Given our isolation in the Coronavirus era, we have time to follow Tamdgidi in his journey into the depth of inner space, where few men have gone before. It is there that we can gain emotional strength, just as Churchill, Roosevelt and Mandela empowered themselves. That personal development was needed to address not only their own personal problems, but also the mammoth problems of their societies. We must learn to do the same." — Bernard Phillips, Emeritus Sociology Professor, Boston University

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

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Publisher : Springer Science & Business Media
ISBN 13 : 4431544933
Total Pages : 131 pages
Book Rating : 4.4/5 (315 download)

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Book Synopsis Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory by : Yu Watanabe

Download or read book Formulation of Uncertainty Relation Between Error and Disturbance in Quantum Measurement by Using Quantum Estimation Theory written by Yu Watanabe and published by Springer Science & Business Media. This book was released on 2013-12-17 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Mechanics II

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Publisher : CRC Press
ISBN 13 : 100077354X
Total Pages : 433 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Quantum Mechanics II by : S. Rajasekar

Download or read book Quantum Mechanics II written by S. Rajasekar and published by CRC Press. This book was released on 2022-11-24 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Mechanics II: Advanced Topics offers a comprehensive exploration of the state-of-the-art in various advanced topics of current research interest. A follow-up to the authors’ introductory book Quantum Mechanics I: The Fundamentals, this book expounds basic principles, theoretical treatment, case studies, worked-out examples and applications of advanced topics including quantum technologies. A thoroughly revised and updated this unique volume presents an in-depth and up-to-date progress on the growing topics including latest achievements on quantum technology. In the second edition six new chapters are included and the other ten chapters are extensively revised. Features Covers classical and quantum field theories, path integral formalism and supersymmetric quantum mechanics. Highlights coherent and squeezed states, Berry’s phase, Aharonov—Bohm effect and Wigner function. Explores salient features of quantum entanglement and quantum cryptography. Presents basic concepts of quantum computers and the features of no-cloning theorem and quantum cloning machines. Describes the theory and techniques of quantum tomography, quantum simulation and quantum error correction. Introduces other novel topics including quantum versions of theory of gravity, cosmology, Zeno effect, teleportation, games, chaos and steering. Outlines the quantum technologies of ghost imaging, detection of weak amplitudes and displacements, lithography, metrology, teleportation of optical images, sensors, batteries and internet. Contains several worked-out problems and exercises in each chapter. Quantum Mechanics II: Advanced Topics addresses various currently emerging exciting topics of quantum mechanics. It emphasizes the fundamentals behind the latest cutting-edge developments to help explain the motivation for deeper exploration. The book is a valuable resource for graduate students in physics and engineering wishing to pursue research in quantum mechanics.

Some Problems of Asymptotic Quantum Statistical Inference

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Some Problems of Asymptotic Quantum Statistical Inference by : Samriddha Lahiry

Download or read book Some Problems of Asymptotic Quantum Statistical Inference written by Samriddha Lahiry and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent breakthroughs in quantum technology, suchas quantum computing, communication, and metrology have given rise to questions related to quantum measurements which can be formulated in the language of mathematical statistics. Since quantum mechanics is fundamentally non-commutative in nature, statistical inference for these problems also involves dealing with such non-commutative structures. Moreover, inference in quantum statistics based on the laws of quantum probability deviates from inference in classical statistics, and the results often turn out to be different in a non-trivial way. In classical statistics a fundamental paradigm is approximating complicated experiments (families of laws, or models) by simpler ones. In particular, one establishes asymptotic equivalence between i.i.d. models indexed by a local parameter and a Gaussian shift model (with the shift given by the same local parameter). This approximation is called local asymptotic normality (LAN) and allows one to construct an estimator from a procedure in the Gaussian model with similar risk bounds. Local asymptotic equivalence can also been established between quantum i.i.d. models and quantum Gaussian models. In this thesis, we explore quantum statistical inference through the lens of local asymptotic equivalence and establish quantum counterparts of several results in classical statistics.

Epistemic Processes

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Publisher : Springer
ISBN 13 : 3319950681
Total Pages : 164 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Epistemic Processes by : Inge S. Helland

Download or read book Epistemic Processes written by Inge S. Helland and published by Springer. This book was released on 2018-09-21 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a link between statistical theory and quantum theory based on the concept of epistemic processes – which can be e.g. statistical investigations or quantum mechanical measurements, and refer to processes that are used to gain knowledge about something. The book addresses a range of topics, including a derivation of the Born formula from reasonable assumptions, a derivation of the Schrödinger equation in the one-dimensional case, and a discussion of the Bell inequality from an epistemic perspective. The book describes a possible epistemic foundation of quantum theory. Lastly, it presents a general philosophical discussion of the approach, which, principally speaking, is not restricted to the micro-world. Hence the book can also be seen as a motivation for further research into quantum decision theory and quantum models for cognition. The book will benefit a broad readership, including physicists and statisticians interested in the foundation of their disciplines, philosophers of science and graduate students, and anyone with a reasonably good background in mathematics and an open mind.

Asymptotic Theory in Probability and Statistics with Applications

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Publisher :
ISBN 13 :
Total Pages : 560 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Asymptotic Theory in Probability and Statistics with Applications by : T. L. Lai

Download or read book Asymptotic Theory in Probability and Statistics with Applications written by T. L. Lai and published by . This book was released on 2008 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a collection of 18 papers, many of which are surveys, on asymptotic theory in probability and statistics, with applications to a variety of problems. This volume comprises three parts: limit theorems, statistics and applications, and mathematical finance and insurance. It is suitable for graduate students in probability and statistics.

Asymptotic Theory of Statistical Inference for Stochastic Processes

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Asymptotic Theory of Statistical Inference for Stochastic Processes by : B. L. S. Prakasa Rao

Download or read book Asymptotic Theory of Statistical Inference for Stochastic Processes written by B. L. S. Prakasa Rao and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Stochastics And Information: Statistics, Filtering And Control

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Author :
Publisher : World Scientific
ISBN 13 : 981451828X
Total Pages : 410 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Quantum Stochastics And Information: Statistics, Filtering And Control by : Viacheslav P Belavkin

Download or read book Quantum Stochastics And Information: Statistics, Filtering And Control written by Viacheslav P Belavkin and published by World Scientific. This book was released on 2008-08-29 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.