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Quantum Probability And Randomness
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Book Synopsis Probability and Randomness by : Andre? I?U?r?evich Khrennikov
Download or read book Probability and Randomness written by Andre? I?U?r?evich Khrennikov and published by World Scientific. This book was released on 2016 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Interrelation of Classical and Quantum Randomness rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level"--
Book Synopsis Quantum Probability and Randomness by : Andrei Khrennikov
Download or read book Quantum Probability and Randomness written by Andrei Khrennikov and published by MDPI. This book was released on 2019-04-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics—in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.
Book Synopsis Introduction to Random Time and Quantum Randomness by : Kai Lai Chung
Download or read book Introduction to Random Time and Quantum Randomness written by Kai Lai Chung and published by World Scientific. This book was released on 2003 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K L Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown. In the second essay J-C Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested.
Book Synopsis Probability and Randomness by : Andrei Khrennikov
Download or read book Probability and Randomness written by Andrei Khrennikov and published by World Scientific. This book was released on 2016-03-04 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' Creating a rigorous mathematical theory of randomness is far from being complete, even in the classical case. Probability and Randomness: Quantum versus Classical rectifies this and introduces mathematical formalisms of classical and quantum probability and randomness with brief discussion of their interrelation and interpretational and foundational issues. The book presents the essentials of classical approaches to randomness, enlightens their successes and problems, and then proceeds to essentials of quantum randomness. Its wide-ranging and comprehensive scope makes it suitable for researchers in mathematical physics, probability and statistics at any level. Contents:Foundations of ProbabilityRandomnessSupplementary Notes on Measure-theoretic and Frequency ApproachesIntroduction to Quantum FormalismQuantum and Contextual ProbabilityInterpretations of Quantum Mechanics and ProbabilityRandomness: Quantum Versus ClassicalProbabilistic Structure of Bell''s ArgumentQuantum Probability Outside of Physics: from Molecular Biology to Cognition Readership: Researchers in mathematical physics, probability and statistics. Keywords:Kolmogorov Axiomataics;Randomness;Independence;Quantum Probability'
Book Synopsis Quantum Probability and Randomness by : Karl Svozil
Download or read book Quantum Probability and Randomness written by Karl Svozil and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics-in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.
Download or read book Quantum Chance written by Nicolas Gisin and published by Springer. This book was released on 2014-07-17 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum physics, which offers an explanation of the world on the smallest scale, has fundamental implications that pose a serious challenge to ordinary logic. Particularly counterintuitive is the notion of entanglement, which has been explored for the past 30 years and posits an ubiquitous randomness capable of manifesting itself simultaneously in more than one place. This amazing 'non-locality' is more than just an abstract curiosity or paradox: it has entirely down-to-earth applications in cryptography, serving for example to protect financial information; it also has enabled the demonstration of 'quantum teleportation', whose infinite possibilities even science-fiction writers can scarcely imagine. This delightful and concise exposition does not avoid the deep logical difficulties of quantum physics, but gives the reader the insights needed to appreciate them. From 'Bell's Theorem' to experiments in quantum entanglement, the reader will gain a solid understanding of one of the most fascinating areas of contemporary physics.
Book Synopsis Introduction to Random Time and Quantum Randomness by :
Download or read book Introduction to Random Time and Quantum Randomness written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abrahamic Reflections on Randomness and Providence by : Kelly James Clark
Download or read book Abrahamic Reflections on Randomness and Providence written by Kelly James Clark and published by Springer Nature. This book was released on 2021-09-27 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book addresses the question of how God can providentially govern apparently ungovernable randomness. Medieval theologians confidently held that God is provident, that is, God is the ultimate cause of or is responsible for everything that happens. However, scientific advances since the 19th century pose serious challenges to traditional views of providence. From Darwinian evolution to quantum mechanics, randomness has become an essential part of the scientific worldview. An interdisciplinary team of Muslim, Christian and Jewish scholars—biologists, physicists, philosophers and theologians—addresses questions of randomness and providence.
Book Synopsis Randomness And Realism: Encounters With Randomness In The Scientific Search For Physical Reality by : John W Fowler
Download or read book Randomness And Realism: Encounters With Randomness In The Scientific Search For Physical Reality written by John W Fowler and published by World Scientific. This book was released on 2021-07-08 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Randomness is an active element relevant to all scientific activities. The book explores the way in which randomness suffuses the human experience, starting with everyday chance events, followed by developments into modern probability theory, statistical mechanics, scientific data analysis, quantum mechanics, and quantum gravity. An accessible introduction to these theories is provided as a basis for going into deeper topics.Fowler unveils the influence of randomness in the two pillars of science, measurement and theory. Some emphasis is placed on the need and methods for optimal characterization of uncertainty. An example of the cost of neglecting this is the St. Petersburg Paradox, a theoretical game of chance with an infinite expected payoff value. The role of randomness in quantum mechanics reveals another particularly interesting finding: that in order for the physical universe to function as it does and permit conscious beings within it to enjoy sanity, irreducible randomness is necessary at the quantum level.The book employs a certain level of mathematics to describe physical reality in a more precise way that avoids the tendency of nonmathematical descriptions to be occasionally misleading. Thus, it is most readily digested by young students who have taken at least a class in introductory calculus, or professional scientists and engineers curious about the book's topics as a result of hearing about them in popular media. Readers not inclined to savor equations should be able to skip certain technical sections without losing the general flow of ideas. Still, it is hoped that even readers who usually avoid equations will give those within these pages a chance, as they may be surprised at how potentially foreboding concepts fall into line when one makes a legitimate attempt to follow a succession of mathematical implications.
Book Synopsis Quantum Chance and Non-locality by : W. Michael Dickson
Download or read book Quantum Chance and Non-locality written by W. Michael Dickson and published by Cambridge University Press. This book was released on 1998-04-02 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book will appeal to anyone with an interest in the interpretation of quantum mechanics.
Book Synopsis Randomnicity by : Anastasios A. Tsonis
Download or read book Randomnicity written by Anastasios A. Tsonis and published by Imperial College Press. This book was released on 2008 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book explores the definition, sources and role of randomness. A joyful discussion with many non-mathematical and mathematical examples leads to the identification of three sources of randomness: randomness due to irreversibility which inhibits us from extracting whatever rules may underlie a process, randomness due to our inability to have infinite power (chaos), and randomness due to many interacting systems. Here, all sources are found to have something in common: infinity. The discussion then moves to the physical system (our universe). Through the quantum mechanical character of small scales, the second law of thermodynamics and chaos, randomness is shown to be an intrinsic property of nature ? this is consistent with the three sources of randomness identified above. Finally, an explanation is given as to why rules and randomness cannot exist by themselves, but instead have to coexist. Many examples are presented, ranging from pure mathematical to natural and social processes, that clearly demonstrate how the combination of rules and randomness produces the world we live in.
Book Synopsis Free Probability and Random Matrices by : James A. Mingo
Download or read book Free Probability and Random Matrices written by James A. Mingo and published by Springer. This book was released on 2017-06-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications, representation theory of large groups, quantum groups, the invariant subspace problem, large deviations, subfactors, and beyond. This book puts a special emphasis on the relation of free probability to random matrices, but also touches upon the operator algebraic, combinatorial, and analytic aspects of the theory. The book serves as a combination textbook/research monograph, with self-contained chapters, exercises scattered throughout the text, and coverage of important ongoing progress of the theory. It will appeal to graduate students and all mathematicians interested in random matrices and free probability from the point of view of operator algebras, combinatorics, analytic functions, or applications in engineering and statistical physics.
Book Synopsis A New Kind of Science by : Stephen Wolfram
Download or read book A New Kind of Science written by Stephen Wolfram and published by . This book was released on 2002 with total page 1197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments---illustrated in the book by striking computer graphics---Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe. Wolfram uses his approach to tackle a remarkable array of fundamental problems in science: from the origin of the Second Law of thermodynamics, to the development of complexity in biology, the computational limitations of mathematics, the possibility of a truly fundamental theory of physics, and the interplay between free will and determinism.
Book Synopsis Fields of Color by : Rodney A Brooks
Download or read book Fields of Color written by Rodney A Brooks and published by Independently Published. This book was released on 2010-12-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fields of Color explains Quantum Field Theory to a lay audience without equations. It shows how this often overlooked theory resolves the weirdness of Quantum Mechanics and the paradoxes of Relativity. The third edition contains a new solution to the measurement problem ("the most controversial problem in physics today") and shows the quantum basis for Einstein's famous E = mc2.
Book Synopsis Random Phenomena by : Babatunde A. Ogunnaike
Download or read book Random Phenomena written by Babatunde A. Ogunnaike and published by CRC Press. This book was released on 2011-05-20 with total page 1061 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the problems that engineers face involve randomly varying phenomena of one sort or another. However, if characterized properly, even such randomness and the resulting uncertainty are subject to rigorous mathematical analysis. Taking into account the uniquely multidisciplinary demands of 21st-century science and engineering, Random Phenomena: Fundamentals of Probability and Statistics for Engineers provides students with a working knowledge of how to solve engineering problems that involve randomly varying phenomena. Basing his approach on the principle of theoretical foundations before application, Dr. Ogunnaike presents a classroom-tested course of study that explains how to master and use probability and statistics appropriately to deal with uncertainty in standard problems and those that are new and unfamiliar. Giving students the tools and confidence to formulate practical solutions to problems, this book offers many useful features, including: Unique case studies to illustrate the fundamentals and applications of probability and foster understanding of the random variable and its distribution Examples of development, selection, and analysis of probability models for specific random variables Presentation of core concepts and ideas behind statistics and design of experiments Selected "special topics," including reliability and life testing, quality assurance and control, and multivariate analysis As classic scientific boundaries continue to be restructured, the use of engineering is spilling over into more non-traditional areas, ranging from molecular biology to finance. This book emphasizes fundamentals and a "first principles" approach to deal with this evolution. It illustrates theory with practical examples and case studies, equipping readers to deal with a wide range of problems beyond those in the book. About the Author: Professor Ogunnaike is Interim Dean of Engineering at the University of Delaware. He is the recipient of the 2008 American Automatic Control Council's Control Engineering Practice Award, the ISA's Donald P. Eckman Education Award, the Slocomb Excellence in Teaching Award, and was elected into the US National Academy of Engineering in 2012.
Book Synopsis Chance, Calculation and Life by : Thierry Gaudin
Download or read book Chance, Calculation and Life written by Thierry Gaudin and published by John Wiley & Sons. This book was released on 2021-05-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chance, Calculation and Life brings together 16 original papers from the colloquium of the same name, organized by the International Cultural Center of Cerisy in 2019. From mathematics to the humanities and biology, there are many concepts and questions related to chance. What are the different types of chance? Does chance correspond to a lack of knowledge about the causes of events, or is there a truly intrinsic and irreducible chance? Does chance preside over our decisions? Does it govern evolution? Is it at the origin of life? What part do chance and necessity play in biology? This book answers these fundamental questions by bringing together the clear and richly documented contributions of mathematicians, physicists, biologists and philosophers who make this book an incomparable tool for work and reflection.
Book Synopsis Randomness Through Computation by : Hector Zenil
Download or read book Randomness Through Computation written by Hector Zenil and published by World Scientific. This book was released on 2011 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This review volume consists of an indispensable set of chapters written by leading scholars, scientists and researchers in the field of Randomness, including related subfields specially but not limited to the strong developed connections to the Computability and Recursion Theory. Highly respected, indeed renowned in their areas of specialization, many of these contributors are the founders of their fields. The scope of Randomness Through Computation is novel. Each contributor shares his personal views and anecdotes on the various reasons and motivations which led him to the study of the subject. They share their visions from their vantage and distinctive viewpoints. In summary, this is an opportunity to learn about the topic and its various angles from the leading thinkers.
