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Author : Karl-Heinz Fichtner
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (254 download)
Download or read book Quantum Markov Chains and the Process of Recognition written by Karl-Heinz Fichtner and published by . This book was released on 2007 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Sutter
Publisher : Springer
ISBN 13 : 3319787322
Total Pages : 124 pages
Book Rating : 4.3/5 (197 download)
Download or read book Approximate Quantum Markov Chains written by David Sutter and published by Springer. This book was released on 2018-04-20 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem. To achieve this goal, we strengthen the data-processing inequality such that it reveals a statement about the reconstruction of lost information. The main difficulty in order to understand the behavior of quantum Markov chains arises from the fact that quantum mechanical operators do not commute in general. As a result we start by explaining two techniques of how to deal with non-commuting matrices: the spectral pinching method and complex interpolation theory. Once the reader is familiar with these techniques a novel inequality is presented that extends the celebrated Golden-Thompson inequality to arbitrarily many matrices. This inequality is the key ingredient in understanding approximate quantum Markov chains and it answers a question from matrix analysis that was open since 1973, i.e., if Lieb's triple matrix inequality can be extended to more than three matrices. Finally, we carefully discuss the properties of approximate quantum Markov chains and their implications. The book is aimed to graduate students who want to learn about approximate quantum Markov chains as well as more experienced scientists who want to enter this field. Mathematical majority is necessary, but no prior knowledge of quantum mechanics is required.
Author : Luigi Accardi
Publisher : World Scientific
ISBN 13 : 9814343765
Total Pages : 503 pages
Book Rating : 4.8/5 (143 download)
Download or read book Quantum Bioinformatics Four written by Luigi Accardi and published by World Scientific. This book was released on 2011 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this proceedings volume is to return to the starting point of bio-informatics and quantum information, fields that are growing rapidly at present, and to seriously attempt mutual interaction between the two, with a view to enumerating and solving the many fundamental problems they entail. For such a purpose, we look for interdisciplinary bridges in mathematics, physics, information and life sciences, in particular, research for new paradigm for information science and life science on the basis of quantum theory.
Author : L. Accardi
Publisher : World Scientific
ISBN 13 : 9814273759
Total Pages : 357 pages
Book Rating : 4.8/5 (142 download)
Download or read book Quantum Bio-Informatics II written by L. Accardi and published by World Scientific. This book was released on 2009-02-12 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Luigi Accardi
Publisher : World Scientific
ISBN 13 : 9814304050
Total Pages : 512 pages
Book Rating : 4.8/5 (143 download)
Download or read book Quantum Bio-informatics III written by Luigi Accardi and published by World Scientific. This book was released on 2010 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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) quantum information, (2) bio-informatics and (3) the interrelation between (1) and (2).
Author : Masanori Ohya
Publisher : Springer Science & Business Media
ISBN 13 : 9400701713
Total Pages : 768 pages
Book Rating : 4.4/5 (7 download)
Download or read book Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems written by Masanori Ohya and published by Springer Science & Business Media. This book was released on 2011-01-15 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems including nano and bio systems. It includes introductory material on algorithm, functional analysis, probability theory, information theory, quantum mechanics and quantum field theory. Apart from standard material on quantum information like quantum algorithm and teleportation, the authors discuss findings on the theory of entropy in C*-dynamical systems, space-time dependence of quantum entangled states, entangling operators, adaptive dynamics, relativistic quantum information, and a new paradigm for quantum computation beyond the usual quantum Turing machine. Also, some important applications of information theory to genetics and life sciences, as well as recent experimental and theoretical discoveries in quantum photosynthesis are described.
Author : Luigi Accardi
Publisher : World Scientific
ISBN 13 : 9814460028
Total Pages : 504 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quantum Bio-informatics V written by Luigi Accardi and published by World Scientific. This book was released on 2013 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the fifth international conference of quantumbio-informatics held at the QBI Center of Tokyo University of Science.This volume provides a platform to connect mathematics, physics, information and life sciences, and in particular, research for new paradigm for information science and life science on the basis of quantum theory.The following topics are discussed: Cryptographic algorithms; Quantum algorithm and computation; Quantum entanglement; Quantum entropy and information dynamics; Quantum dynamics and time operator; Stochastic dynamics and white noise analysis; Brain activity; Quantum-like models and PD game; Quantum physics and superconductivity; Quantum tomography and sufficiency; Adaptation in Plants; Alignment of sequences
Author : Katrin Schubert
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (181 download)
Download or read book Quantum Markov Chains and Position Distributions for States of Boson Systems written by Katrin Schubert and published by . This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luigi Accardi
Publisher : World Scientific
ISBN 13 : 9814460036
Total Pages : 504 pages
Book Rating : 4.8/5 (144 download)
Download or read book Quantum Bio-informatics V - Proceedings Of The Quantum Bio-informatics 2011 written by Luigi Accardi and published by World Scientific. This book was released on 2013-01-25 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the fifth international conference of quantum bio-informatics held at the QBI Center of Tokyo University of Science.This volume provides a platform to connect mathematics, physics, information and life sciences, and in particular, research for new paradigm for information science and life science on the basis of quantum theory.The following topics are discussed:
Author : Oleg Szehr
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (881 download)
Download or read book Spectral Methods for Quantum Markov Chains written by Oleg Szehr and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul A. Gagniuc
Publisher : John Wiley & Sons
ISBN 13 : 1119387558
Total Pages : 252 pages
Book Rating : 4.1/5 (193 download)
Download or read book Markov Chains written by Paul A. Gagniuc and published by John Wiley & Sons. This book was released on 2017-07-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: A fascinating and instructive guide to Markov chains for experienced users and newcomers alike This unique guide to Markov chains approaches the subject along the four convergent lines of mathematics, implementation, simulation, and experimentation. It introduces readers to the art of stochastic modeling, shows how to design computer implementations, and provides extensive worked examples with case studies. Markov Chains: From Theory to Implementation and Experimentation begins with a general introduction to the history of probability theory in which the author uses quantifiable examples to illustrate how probability theory arrived at the concept of discrete-time and the Markov model from experiments involving independent variables. An introduction to simple stochastic matrices and transition probabilities is followed by a simulation of a two-state Markov chain. The notion of steady state is explored in connection with the long-run distribution behavior of the Markov chain. Predictions based on Markov chains with more than two states are examined, followed by a discussion of the notion of absorbing Markov chains. Also covered in detail are topics relating to the average time spent in a state, various chain configurations, and n-state Markov chain simulations used for verifying experiments involving various diagram configurations. • Fascinating historical notes shed light on the key ideas that led to the development of the Markov model and its variants • Various configurations of Markov Chains and their limitations are explored at length • Numerous examples—from basic to complex—are presented in a comparative manner using a variety of color graphics • All algorithms presented can be analyzed in either Visual Basic, Java Script, or PHP • Designed to be useful to professional statisticians as well as readers without extensive knowledge of probability theory Covering both the theory underlying the Markov model and an array of Markov chain implementations, within a common conceptual framework, Markov Chains: From Theory to Implementation and Experimentation is a stimulating introduction to and a valuable reference for those wishing to deepen their understanding of this extremely valuable statistical tool. Paul A. Gagniuc, PhD, is Associate Professor at Polytechnic University of Bucharest, Romania. He obtained his MS and his PhD in genetics at the University of Bucharest. Dr. Gagniuc’s work has been published in numerous high profile scientific journals, ranging from the Public Library of Science to BioMed Central and Nature journals. He is the recipient of several awards for exceptional scientific results and a highly active figure in the review process for different scientific areas.
Author : Ehrhard Behrends
Publisher : Vieweg+Teubner Verlag
ISBN 13 : 3322901572
Total Pages : 237 pages
Book Rating : 4.3/5 (229 download)
Download or read book Introduction to Markov Chains written by Ehrhard Behrends and published by Vieweg+Teubner Verlag. This book was released on 2014-07-08 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Besides the investigation of general chains the book contains chapters which are concerned with eigenvalue techniques, conductance, stopping times, the strong Markov property, couplings, strong uniform times, Markov chains on arbitrary finite groups (including a crash-course in harmonic analysis), random generation and counting, Markov random fields, Gibbs fields, the Metropolis sampler, and simulated annealing. With 170 exercises.
Author : Masao Nagasawa
Publisher : Birkhäuser
ISBN 13 : 9783030626877
Total Pages : 339 pages
Book Rating : 4.6/5 (268 download)
Download or read book Markov Processes and Quantum Theory written by Masao Nagasawa and published by Birkhäuser. This book was released on 2021-06-24 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses quantum theory as the theory of random (Brownian) motion of small particles (electrons etc.) under external forces. Implying that the Schrödinger equation is a complex-valued evolution equation and the Schrödinger function is a complex-valued evolution function, important applications are given. Readers will learn about new mathematical methods (theory of stochastic processes) in solving problems of quantum phenomena. Readers will also learn how to handle stochastic processes in analyzing physical phenomena.
Author : R. Syski
Publisher : IOS Press
ISBN 13 : 9789051990607
Total Pages : 564 pages
Book Rating : 4.9/5 (96 download)
Download or read book Passage Times for Markov Chains written by R. Syski and published by IOS Press. This book was released on 1992 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a survey of work on passage times in stable Markov chains with a discrete state space and a continuous time. Passage times have been investigated since early days of probability theory and its applications. The best known example is the first entrance time to a set, which embraces waiting times, busy periods, absorption problems, extinction phenomena, etc. Another example of great interest is the last exit time from a set. The book presents a unifying treatment of passage times, written in a systematic manner and based on modern developments. The appropriate unifying framework is provided by probabilistic potential theory, and the results presented in the text are interpreted from this point of view. In particular, the crucial role of the Dirichlet problem and the Poisson equation is stressed. The work is addressed to applied probalilists, and to those who are interested in applications of probabilistic methods in their own areas of interest. The level of presentation is that of a graduate text in applied stochastic processes. Hence, clarity of presentation takes precedence over secondary mathematical details whenever no serious harm may be expected. Advanced concepts described in the text gain nowadays growing acceptance in applied fields, and it is hoped that this work will serve as an useful introduction. Abstracted by Mathematical Reviews, issue 94c
Author : John G. Kemeny
Publisher : Springer Science & Business Media
ISBN 13 : 1468494554
Total Pages : 495 pages
Book Rating : 4.4/5 (684 download)
Download or read book Denumerable Markov Chains written by John G. Kemeny and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the first edition out of print, we decided to arrange for republi cation of Denumerrible Markov Ohains with additional bibliographic material. The new edition contains a section Additional Notes that indicates some of the developments in Markov chain theory over the last ten years. As in the first edition and for the same reasons, we have resisted the temptation to follow the theory in directions that deal with uncountable state spaces or continuous time. A section entitled Additional References complements the Additional Notes. J. W. Pitman pointed out an error in Theorem 9-53 of the first edition, which we have corrected. More detail about the correction appears in the Additional Notes. Aside from this change, we have left intact the text of the first eleven chapters. The second edition contains a twelfth chapter, written by David Griffeath, on Markov random fields. We are grateful to Ted Cox for his help in preparing this material. Notes for the chapter appear in the section Additional Notes. J.G.K., J.L.S., A.W.K.
Author : David A. Levin
Publisher : American Mathematical Soc.
ISBN 13 : 1470429624
Total Pages : 465 pages
Book Rating : 4.4/5 (74 download)
Download or read book Markov Chains and Mixing Times written by David A. Levin and published by American Mathematical Soc.. This book was released on 2017-10-31 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the modern theory of Markov chains, whose goal is to determine the rate of convergence to the stationary distribution, as a function of state space size and geometry. This topic has important connections to combinatorics, statistical physics, and theoretical computer science. Many of the techniques presented originate in these disciplines. The central tools for estimating convergence times, including coupling, strong stationary times, and spectral methods, are developed. The authors discuss many examples, including card shuffling and the Ising model, from statistical mechanics, and present the connection of random walks to electrical networks and apply it to estimate hitting and cover times. The first edition has been used in courses in mathematics and computer science departments of numerous universities. The second edition features three new chapters (on monotone chains, the exclusion process, and stationary times) and also includes smaller additions and corrections throughout. Updated notes at the end of each chapter inform the reader of recent research developments.
Author : Harish Parthasarathy
Publisher : Taylor & Francis
ISBN 13 : 1000830551
Total Pages : 269 pages
Book Rating : 4.0/5 (8 download)
Download or read book Large Deviations Applied to Classical and Quantum Field Theory written by Harish Parthasarathy and published by Taylor & Francis. This book was released on 2022-12-22 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a variety of problems in Physics and Engineering where the large deviation principle of probability finds application. Large deviations is a branch of probability theory dealing with approximate computation of the probabilities of rare events. It contains applications of the LDP to pattern recognition problems like analysis of the performance of the EM algorithm for optimal parameter estimation in the presence of weak noise, analysis and control of non-Abelian gauge fields in the presence of noise, and quantum gravity wherein we are concerned with perturbation to the quadratic component of the Einstein-Hilbert Hamiltonian caused by higher order nonlinear terms in the position fields and their effect on the Gibbs statistics and consequently quantum probabilities of events computed using the quantum Gibbs state. The reader will also find in this book applications of LDP to quantum filtering theory as developed by Belavkin based on the celebrated Hudson-Parthasarathy quantum stochastic calculus. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan and Bhutan).
