Entropy In Foundations Of Quantum Physics

Author : Marcin Pawłowski
Publisher : MDPI
ISBN 13 : 3039289519
Total Pages : 266 pages
Book Rating : 4.16/5 ( download)

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Download or read book Entropy in Foundations of Quantum Physics written by Marcin Pawłowski and published by MDPI. This book was released on 2020-12-15 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of outstanding papers on various aspects of entropy at the foundation of quantum physics. The covered topics range from purely foundational issues such as contextuality and Bell and Leggett–Garg inequalities to applications such as quantum key distribution, teleportation, and image encoding. The main ingredient binding them together in this book is that in all of the contained papers, entropy plays a key role either as a mathematical tool or as a link which bridges the gap between different fields of science.

Author : Marcin Pawłowski
Publisher :
ISBN 13 : 9783039289523
Total Pages : 266 pages
Book Rating : 4.27/5 ( download)

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Download or read book Entropy in Foundations of Quantum Physics written by Marcin Pawłowski and published by . This book was released on 2020 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of outstanding papers on various aspects of entropy at the foundation of quantum physics. The covered topics range from purely foundational issues such as contextuality and Bell and Leggett-Garg inequalities to applications such as quantum key distribution, teleportation, and image encoding. The main ingredient binding them together in this book is that in all of the contained papers, entropy plays a key role either as a mathematical tool or as a link which bridges the gap between different fields of science.

Author : Herbert S. Green
Publisher : Springer Science & Business Media
ISBN 13 : 364257162X
Total Pages : 248 pages
Book Rating : 4.26/5 ( download)

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Download or read book Information Theory and Quantum Physics written by Herbert S. Green and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this highly readable book, H.S. Green, a former student of Max Born and well known as an author in physics and in the philosophy of science, presents a timely analysis of theoretical physics and related fundamental problems.

Author : Miklós Rédei
Publisher : Springer Science & Business Media
ISBN 13 : 9401720126
Total Pages : 360 pages
Book Rating : 4.20/5 ( download)

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Download or read book John von Neumann and the Foundations of Quantum Physics written by Miklós Rédei and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: John von Neumann (1903-1957) was undoubtedly one of the scientific geniuses of the 20th century. The main fields to which he contributed include various disciplines of pure and applied mathematics, mathematical and theoretical physics, logic, theoretical computer science, and computer architecture. Von Neumann was also actively involved in politics and science management and he had a major impact on US government decisions during, and especially after, the Second World War. There exist several popular books on his personality and various collections focusing on his achievements in mathematics, computer science, and economy. Strangely enough, to date no detailed appraisal of his seminal contributions to the mathematical foundations of quantum physics has appeared. Von Neumann's theory of measurement and his critique of hidden variables became the touchstone of most debates in the foundations of quantum mechanics. Today, his name also figures most prominently in the mathematically rigorous branches of contemporary quantum mechanics of large systems and quantum field theory. And finally - as one of his last lectures, published in this volume for the first time, shows - he considered the relation of quantum logic and quantum mechanical probability as his most important problem for the second half of the twentieth century. The present volume embraces both historical and systematic analyses of his methodology of mathematical physics, and of the various aspects of his work in the foundations of quantum physics, such as theory of measurement, quantum logic, and quantum mechanical entropy. The volume is rounded off by previously unpublished letters and lectures documenting von Neumann's thinking about quantum theory after his 1932 Mathematical Foundations of Quantum Mechanics. The general part of the Yearbook contains papers emerging from the Institute's annual lecture series and reviews of important publications of philosophy of science and its history.

Author : David Ellerman
Publisher : Springer Nature
ISBN 13 : 3030865525
Total Pages : 121 pages
Book Rating : 4.28/5 ( download)

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Download or read book New Foundations for Information Theory written by David Ellerman and published by Springer Nature. This book was released on 2021-10-30 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications. Information is based on distinctions, differences, distinguishability, and diversity. Information sets are defined that express the distinctions made by a partition, e.g., the inverse-image of a random variable so they represent the pre-probability notion of information. Then logical entropy is a probability measure on the information sets, the probability that on two independent trials, a distinction or “dit” of the partition will be obtained. The formula for logical entropy is a new derivation of an old formula that goes back to the early twentieth century and has been re-derived many times in different contexts. As a probability measure, all the compound notions of joint, conditional, and mutual logical entropy are immediate. The Shannon entropy (which is not defined as a measure in the sense of measure theory) and its compound notions are then derived from a non-linear dit-to-bit transform that re-quantifies the distinctions of a random variable in terms of bits—so the Shannon entropy is the average number of binary distinctions or bits necessary to make all the distinctions of the random variable. And, using a linearization method, all the set concepts in this logical information theory naturally extend to vector spaces in general—and to Hilbert spaces in particular—for quantum logical information theory which provides the natural measure of the distinctions made in quantum measurement. Relatively short but dense in content, this work can be a reference to researchers and graduate students doing investigations in information theory, maximum entropy methods in physics, engineering, and statistics, and to all those with a special interest in a new approach to quantum information theory.

Author : Pedro W. Lamberti
Publisher : MDPI
ISBN 13 : 3038977543
Total Pages : 188 pages
Book Rating : 4.44/5 ( download)

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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.

Author : Marco Tomamichel
Publisher : Springer
ISBN 13 : 3319218913
Total Pages : 138 pages
Book Rating : 4.15/5 ( download)

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Download or read book Quantum Information Processing with Finite Resources written by Marco Tomamichel and published by Springer. This book was released on 2015-10-14 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the mathematical framework required to fully explore the potential of small quantum information processing devices. As decoherence will continue to limit their size, it is essential to master the conceptual tools which make such investigations possible. A strong emphasis is given to information measures that are essential for the study of devices of finite size, including Rényi entropies and smooth entropies. The presentation is self-contained and includes rigorous and concise proofs of the most important properties of these measures. The first chapters will introduce the formalism of quantum mechanics, with particular emphasis on norms and metrics for quantum states. This is necessary to explore quantum generalizations of Rényi divergence and conditional entropy, information measures that lie at the core of information theory. The smooth entropy framework is discussed next and provides a natural means to lift many arguments from information theory to the quantum setting. Finally selected applications of the theory to statistics and cryptography are discussed. The book is aimed at graduate students in Physics and Information Theory. Mathematical fluency is necessary, but no prior knowledge of quantum theory is required.

Author : Giacomo Mauro D’Ariano
Publisher : MDPI
ISBN 13 : 3039283804
Total Pages : 508 pages
Book Rating : 4.04/5 ( download)

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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.

Author : Alfred Lande
Publisher : Cambridge University Press
ISBN 13 : 1107593549
Total Pages : 185 pages
Book Rating : 4.41/5 ( download)

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Download or read book New Foundations of Quantum Mechanics written by Alfred Lande and published by Cambridge University Press. This book was released on 2015-12-03 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1965, the aim of this book was to challenge the dualistic view of physics, that is, the assumption that beams of electrons consist of discrete particles and of waves. Lande argues that this dualistic view is unnecessary, not only on methodological grounds but also from the standpoint of physics. Lande sets out to point out that there are faults in the purely physical arguments, which have led to the dualistic doctrine and shows that by making use of the quantum rule for the exchange of linear momentum, established by W. Duane in 1923, wave-like phenomena can be fully explained on a unitary particle theory of matter. Chapters cover a variety of subjects and range from 'Dualism versus quantum mechanics' to the 'Origin of the quantum rules'. Appendices are included for reference. This book will be of value to students and scholars of the history of physics.

Author : Christopher G. Timpson
Publisher : Oxford University Press
ISBN 13 : 0199296464
Total Pages : 308 pages
Book Rating : 4.60/5 ( download)

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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.