Quantum Probability And Randomness
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Quantum Probability And Randomness
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Author : Andrei Khrennikov
language : en
Publisher: MDPI
Release Date : 2019-04-18
Quantum Probability And Randomness written by Andrei Khrennikov and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-18 with Science categories.
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.
Introduction To Random Time And Quantum Randomness
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Author : Kai Lai Chung
language : en
Publisher: World Scientific
Release Date : 2003
Introduction To Random Time And Quantum Randomness written by Kai Lai Chung and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.
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.
Quantum Probability And Randomness
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Author : Karl Svozil
language : en
Publisher:
Release Date : 2019
Quantum Probability And Randomness written by Karl Svozil and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
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.
Probability And Randomness
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Author : Andre? I?U?r?evich Khrennikov
language : en
Publisher: World Scientific
Release Date : 2016
Probability And Randomness written by Andre? I?U?r?evich Khrennikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Science categories.
"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"--
Probability And Randomness
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Author : Andrei Khrennikov
language : en
Publisher:
Release Date : 2016
Probability And Randomness written by Andrei Khrennikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.
Foundations of probability -- Randomness -- Supplementary notes on measure-theoretic and frequency -- Approaches -- Introduction to quantum formalism -- Quantum and contextual probability -- Interpretations of quantum mechanics and probability -- Randomness: quantum versus classical -- Probabilistic structure of Bell's argument -- Quantum probability outside of physics: from molecular biology to cognition
A Certain Uncertainty
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Author : Mark P. Silverman
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-10
A Certain Uncertainty written by Mark P. Silverman 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 2014-07-10 with Science categories.
This engaging introduction to statistical reasoning will teach you how to apply powerful statistical tools in a technical context.
Free Probability And Random Matrices
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Author : James A. Mingo
language : en
Publisher: Springer
Release Date : 2017-06-24
Free Probability And Random Matrices written by James A. Mingo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-24 with Mathematics categories.
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.
A New Kind Of Science
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Author : Stephen Wolfram
language : en
Publisher: Wolfram Media
Release Date : 2018-11-30
A New Kind Of Science written by Stephen Wolfram and has been published by Wolfram Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-30 with categories.
NOW IN PAPERBACK"€"Starting from a collection of simple computer experiments"€"illustrated in the book by striking computer graphics"€"Stephen Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe.
Ubiquitous Quantum Structure
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Author : Andrei Y. Khrennikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-23
Ubiquitous Quantum Structure written by Andrei Y. Khrennikov 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 2010-01-23 with Science categories.
Quantum-like structure is present practically everywhere. Quantum-like (QL) models, i.e. models based on the mathematical formalism of quantum mechanics and its generalizations can be successfully applied to cognitive science, psychology, genetics, economics, finances, and game theory. This book is not about quantum mechanics as a physical theory. The short review of quantum postulates is therefore mainly of historical value: quantum mechanics is just the first example of the successful application of non-Kolmogorov probabilities, the first step towards a contextual probabilistic description of natural, biological, psychological, social, economical or financial phenomena. A general contextual probabilistic model (Växjö model) is presented. It can be used for describing probabilities in both quantum and classical (statistical) mechanics as well as in the above mentioned phenomena. This model can be represented in a quantum-like way, namely, in complex and more general Hilbert spaces. In this way quantum probability is totally demystified: Born's representation of quantum probabilities by complex probability amplitudes, wave functions, is simply a special representation of this type.
The Theory Of Quantum Information
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Author : John Watrous
language : en
Publisher:
Release Date : 2018-04-26
The Theory Of Quantum Information written by John Watrous and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-26 with Computers categories.
Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.