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Quantum Foundations Probability And Information
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Book Synopsis Quantum Foundations, Probability and Information by : Andrei Khrennikov
Download or read book Quantum Foundations, Probability and Information written by Andrei Khrennikov and published by Springer. This book was released on 2018-06-13 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composed of contributions from leading experts in quantum foundations, this volume presents viewpoints on a number of complex problems through informational, probabilistic, and mathematical perspectives and features novel mathematical models of quantum and subquantum phenomena. Rich with multi-disciplinary mathematical content, this book includes applications of partial differential equations in quantum field theory, differential geometry, oscillatory processes and vibrations, and Feynman integrals for quickly growing potential functions. Due to rapid growth in the field in recent years, this volume aims to promote interdisciplinary collaboration in the areas of quantum probability, information, communication and foundation, and mathematical physics. Many papers discuss complex yet novel problems that depart from the mainstream of quantum physical studies. Others devote explanation to fundamental problems of the conventional quantum theory, including its mathematical formalism. Overall, authors cover a diverse set of topics, including quantum and classical field theory and oscillatory processing, quantum mechanics from a Darwinian evolutionary perspective, and biological applications of quantum theory. Together in one volume, these essays will be useful to experts in the corresponding areas of quantum theory. Theoreticians, experimenters, mathematicians, and even philosophers in quantum physics and quantum probability and information theory can consider this book a valuable resource.
Book Synopsis Quantum Information Theory and the Foundations of Quantum Mechanics by : Christopher G. Timpson
Download or read book Quantum Information Theory and the Foundations of Quantum Mechanics written by Christopher G. Timpson and published by Oxford University Press. This book was released on 2013-04-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.
Book Synopsis Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems by : Masanori Ohya
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.
Book Synopsis Quantum, Probability, Logic by : Meir Hemmo
Download or read book Quantum, Probability, Logic written by Meir Hemmo and published by Springer Nature. This book was released on 2020-04-07 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad perspective on the state of the art in the philosophy and conceptual foundations of quantum mechanics. Its essays take their starting point in the work and influence of Itamar Pitowsky, who has greatly influenced our understanding of what is characteristically non-classical about quantum probabilities and quantum logic, and this serves as a vantage point from which they reflect on key ongoing debates in the field. Readers will find a definitive and multi-faceted description of the major open questions in the foundations of quantum mechanics today, including: Is quantum mechanics a new theory of (contextual) probability? Should the quantum state be interpreted objectively or subjectively? How should probability be understood in the Everett interpretation of quantum mechanics? What are the limits of the physical implementation of computation? The impact of this volume goes beyond the exposition of Pitowsky’s influence: it provides a unique collection of essays by leading thinkers containing profound reflections on the field. Chapter 1. Classical logic, classical probability, and quantum mechanics (Samson Abramsky) Chapter 2. Why Scientific Realists Should Reject the Second Dogma of Quantum Mechanic (Valia Allori) Chapter 3. Unscrambling Subjective and Epistemic Probabilities (Guido Bacciagaluppi) Chapter 4. Wigner’s Friend as a Rational Agent (Veronika Baumann, Časlav Brukner) Chapter 5. Pitowsky's Epistemic Interpretation of Quantum Mechanics and the PBR Theorem (Yemima Ben-Menahem) Chapter 6. On the Mathematical Constitution and Explanation of Physical Facts (Joseph Berkovitz) Chapter 7. Everettian probabilities, the Deutsch-Wallace theorem and the Principal Principle (Harvey R. Brown, Gal Ben Porath) Chapter 8. ‘Two Dogmas’ Redu (Jeffrey Bub) Chapter 9. Physical Computability Theses (B. Jack Copeland, Oron Shagrir) Chapter 10. Agents in Healey’s Pragmatist Quantum Theory: A Comparison with Pitowsky’s Approach to Quantum Mechanics (Mauro Dorato) Chapter 11. Quantum Mechanics As a Theory of Observables and States and, Thereby, As a Theory of Probability (John Earman, Laura Ruetsche) Chapter 12. The Measurement Problem and two Dogmas about Quantum Mechanic (Laura Felline) Chapter 13. There Is More Than One Way to Skin a Cat: Quantum Information Principles In a Finite World(Amit Hagar) Chapter 14. Is Quantum Mechanics a New Theory of Probability? (Richard Healey) Chapter 15. Quantum Mechanics as a Theory of Probability (Meir Hemmo, Orly Shenker) Chapter 16. On the Three Types of Bell's Inequalities (Gábor Hofer-Szabó) Chapter 17. On the Descriptive Power of Probability Logic (Ehud Hrushovski) Chapter 18. The Argument against Quantum Computers (Gil Kalai) Chapter 19. Why a Relativistic Quantum Mechanical World Must be Indeterministic (Avi Levy, Meir Hemmo) Chapter 20. Subjectivists about Quantum Probabilities Should be Realists about Quantum States (Wayne C. Myrvold) Chapter 21. The Relativistic Einstein-Podolsky-Rosen Argument (Michael Redhead) Chapter 22. What price statistical independence? How Einstein missed the photon.(Simon Saunders) Chapter 23. How (Maximally) Contextual is Quantum Mechanics? (Andrew W. Simmons) Chapter 24. Roots and (Re)Sources of Value (In)Definiteness Versus Contextuality (Karl Svozil) Chapter 25: Schrödinger’s Reaction to the EPR Paper (Jos Uffink) Chapter 26. Derivations of the Born Rule (Lev Vaidman) Chapter 27. Dynamical States and the Conventionality of (Non-) Classicality (Alexander Wilce).
Book Synopsis Quantum Theory: Informational Foundations and Foils by : Giulio Chiribella
Download or read book Quantum Theory: Informational Foundations and Foils written by Giulio Chiribella and published by Springer. This book was released on 2015-12-08 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first unified overview of the burgeoning research area at the interface between Quantum Foundations and Quantum Information. Topics include: operational alternatives to quantum theory, information-theoretic reconstructions of the quantum formalism, mathematical frameworks for operational theories, and device-independent features of the set of quantum correlations. Powered by the injection of fresh ideas from the field of Quantum Information and Computation, the foundations of Quantum Mechanics are in the midst of a renaissance. The last two decades have seen an explosion of new results and research directions, attracting broad interest in the scientific community. The variety and number of different approaches, however, makes it challenging for a newcomer to obtain a big picture of the field and of its high-level goals. Here, fourteen original contributions from leading experts in the field cover some of the most promising research directions that have emerged in the new wave of quantum foundations. The book is directed at researchers in physics, computer science, and mathematics and would be appropriate as the basis of a graduate course in Quantum Foundations.
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 Foundations by : Pedro W. Lamberti
Download or read book Quantum Foundations written by Pedro W. Lamberti and published by MDPI. This book was released on 2019-04-02 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its conception 90 years ago, the quantum uncertainty principle introduced by Werner Heisenberg lies behind most important features of quantum physics, and its implications have an impact that goes far beyond the physics community. This book focuses on the quantum uncertainty principle, providing an up-to-date examination of recent developments of its applications in quantum information theory. The book brings together several renowned experts working in the foundations of quantum mechanics and quantum information theory. The authors provide different approaches to the study of uncertainty relations and other fundamental aspects of the quantum formalism. Topics addressed include entanglement and Bell inequalities, the application of entropic information measures to the study of uncertainty inequalities, the characterization of deep learning networks in the context of adiabatic quantum computation, and the study of general properties of the set of quantum states. The content of this book will surely benefit both experienced and new researchers specializing in quantum information theory and the foundations of quantum mechanics.
Book Synopsis Foundations of Probability and Physics - 5 by : Luigi Accardi
Download or read book Foundations of Probability and Physics - 5 written by Luigi Accardi and published by American Institute of Physics. This book was released on 2009-04-03 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference was devoted to fundamental questions raised by quantum mechanics, especially in quantum information theory. As has become customary in our series of conference in Växjö, we were glad to welcome a fruitful assembly of theoretical physicists, experimentalists, mathematicians and even philosophers interested in the foundations of probability and physics. This conference belongs to the series of Växjö conferences in foundations of quantum mechanics (especially probabilistic foundations) combined of two subseries, Foundations of Probability and Physics: 2000, 02, 04, 06, 08, and Quantum Theory: Reconsideration of Foundations: 2001, 03, 05, 07. We also mention the first Växjö conference: Bohmian mechanics 2000. This is definitely the longest series of conferences on foundations in the history of quantum mechanics.
Book Synopsis Quantum Probability - Quantum Logic by : Itamar Pitowsky
Download or read book Quantum Probability - Quantum Logic written by Itamar Pitowsky and published by . This book was released on 2014-01-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Probability and Physics - 6 by : Mauro D'Ariano
Download or read book Foundations of Probability and Physics - 6 written by Mauro D'Ariano and published by American Institute of Physics. This book was released on 2012-04-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the 12th conference in Växjö, Sweden, which is devoted to quantum foundations and quantum information, especially the clarification of fundamental questions. The Växjö series is the longest continuous series of conferences devoted to quantum foundations in the history of quantum mechanics. During this conference, FPP6, we were fortunate to have not only physicists (theorists as well as experimentalists), but also mathematicians and several philosophers discussing the foundations of quantum theory, especially in the light of recent developments of quantum information theory. Fundamental questions of quantum mechanics, especially information theory, quantum computing, cryptography and teleportation have continued to be central topics in this series of conferences.
Book Synopsis Foundations of Quantum Mechanics by : Travis Norsen
Download or read book Foundations of Quantum Mechanics written by Travis Norsen and published by Springer. This book was released on 2017-08-17 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by an acclaimed teacher of quantum physics and philosophy, this textbook pays special attention to the aspects that many courses sweep under the carpet. Traditional courses in quantum mechanics teach students how to use the quantum formalism to make calculations. But even the best students - indeed, especially the best students - emerge rather confused about what, exactly, the theory says is going on, physically, in microscopic systems. This supplementary textbook is designed to help such students understand that they are not alone in their confusions (luminaries such as Albert Einstein, Erwin Schroedinger, and John Stewart Bell having shared them), to sharpen their understanding of the most important difficulties associated with interpreting quantum theory in a realistic manner, and to introduce them to the most promising attempts to formulate the theory in a way that is physically clear and coherent. The text is accessible to students with at least one semester of prior exposure to quantum (or "modern") physics and includes over a hundred engaging end-of-chapter "Projects" that make the book suitable for either a traditional classroom or for self-study.
Book Synopsis Quantum Information Theory by : Mark Wilde
Download or read book Quantum Information Theory written by Mark Wilde and published by Cambridge University Press. This book was released on 2013-04-18 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.
Book Synopsis Foundations of Probability and Physics - 3 by : Andrei Khrennikov
Download or read book Foundations of Probability and Physics - 3 written by Andrei Khrennikov and published by American Inst. of Physics. This book was released on 2005-03-03 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference is one of a series of Växjö conferences on the foundations of quantummechanics. The main aim of this conference was to understand the role that probability plays in the foundations of physics, theoretical as well as experimental. It should be emphasized that nowadays the problems of probabilistic foundations are not of purely theoretical interest. These problems play a fundamental role in future development of quantum computing and cryptography. At this conference we were fortunate to have a mixture of outstanding physicists, mathematicians, and even philosophers interested in scientific foundations in attendance. The following problems were discussed: unification of classical and quantum probability theories, EPR-Bohm and theoriginal EPR experiments, Bell's inequality: interpretations of its violation and loopholes,simulation of EPR-Bohm correlations in the local realistic approach, nonlocality, contextual probabilistic models, subjective probability and quantum information, quantum logic, results of recent experiments in quantum information, philosophic foundations of probability and quantum mechanics, model theory, discrete time and dynamics.
Book Synopsis Quantum Information and Foundations by : Giacomo Mauro D’Ariano
Download or read book Quantum Information and Foundations written by Giacomo Mauro D’Ariano and published by MDPI. This book was released on 2020-03-23 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum information has dramatically changed information science and technology, looking at the quantum nature of the information carrier as a resource for building new information protocols, designing radically new communication and computation algorithms, and ultra-sensitive measurements in metrology, with a wealth of applications. From a fundamental perspective, this new discipline has led us to regard quantum theory itself as a special theory of information, and has opened routes for exploring solutions to the tension with general relativity, based, for example, on the holographic principle, on non-causal variations of the theory, or else on the powerful algorithm of the quantum cellular automaton, which has revealed new routes for exploring quantum fields theory, both as a new microscopic mechanism on the fundamental side, and as a tool for efficient physical quantum simulations for practical purposes. In this golden age of foundations, an astonishing number of new ideas, frameworks, and results, spawned by the quantum information theory experience, have revolutionized the way we think about the subject, with a new research community emerging worldwide, including scientists from computer science and mathematics.
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 Information Theory and Quantum Statistics by : Dénes Petz
Download or read book Quantum Information Theory and Quantum Statistics written by Dénes Petz and published by Springer Science & Business Media. This book was released on 2007-10-20 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.
Book Synopsis Probabilistic and Statistical Aspects of Quantum Theory by : Alexander S. Holevo
Download or read book Probabilistic and Statistical Aspects of Quantum Theory written by Alexander S. Holevo and published by Springer Science & Business Media. This book was released on 2011-05-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to aspects of the foundations of quantum mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of positive operator-valued measures. During the past years there has been substantial progress in this direction, stimulated to a great extent by new applications such as Quantum Optics, Quantum Communication and high-precision experiments. The questions of statistical interpretation, quantum symmetries, theory of canonical commutation relations and Gaussian states, uncertainty relations as well as new fundamental bounds concerning the accuracy of quantum measurements, are discussed in this book in an accessible yet rigorous way. Compared to the first edition, there is a new Supplement devoted to the hidden variable issue. Comments and the bibliography have also been extended and updated.
