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Quantum Foundations, Probability and Information

Author : Andrei Khrennikov

Publisher : Springer

Page : 304 pages

File Size : 16,33 MB

Release : 2018-06-13

Category : Science

ISBN : 3319749714

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Book Description

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.



Quantum Information Theory and the Foundations of Quantum Mechanics

Author : Christopher G. Timpson

Publisher : Oxford Philosophical Monograph

Page : 308 pages

File Size : 15,28 MB

Release : 2013-04-25

Category : Computers

ISBN : 0199296464

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Book Description

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.



Quantum Theory: Informational Foundations and Foils

Author : Giulio Chiribella

Publisher : Springer

Page : 525 pages

File Size : 43,58 MB

Release : 2015-12-08

Category : Science

ISBN : 9401773033

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Book Description

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.



Probability and Randomness

Author : Andre? I?U?r?evich Khrennikov

Publisher : World Scientific

Page : 299 pages

File Size : 15,13 MB

Release : 2016

Category : Science

ISBN : 1783267976

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Book Description

"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"--



Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems

Author : Masanori Ohya

Publisher : Springer Science & Business Media

Page : 768 pages

File Size : 19,75 MB

Release : 2011-01-15

Category : Science

ISBN : 9400701713

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Book Description

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.



Quantum Foundations

Author : Pedro W. Lamberti

Publisher : MDPI

Page : 188 pages

File Size : 18,51 MB

Release : 2019-04-02

Category : Science

ISBN : 3038977543

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Book Description

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.



Foundations of Probability and Physics - 6

Author : Mauro D'Ariano

Publisher : American Institute of Physics

Page : 0 pages

File Size : 39,29 MB

Release : 2012-04-26

Category : Science

ISBN : 9780735410046

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Book Description

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.



Quantum Information Theory and Quantum Statistics

Author : Dénes Petz

Publisher : Springer Science & Business Media

Page : 221 pages

File Size : 35,36 MB

Release : 2007-10-20

Category : Science

ISBN : 3540746366

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Book Description

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.



Foundations of Probability and Physics - 5

Author : Luigi Accardi

Publisher : American Institute of Physics

Page : 408 pages

File Size : 16,94 MB

Release : 2009-04-03

Category : Computers

ISBN :

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Book Description

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.



Quantum Information and Foundations

Author : Giacomo Mauro D'Ariano

Publisher :

Page : 508 pages

File Size : 44,34 MB

Release : 2020

Category : Mathematics

ISBN : 9783039283811

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Book Description

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.