Quantum Theory Informational Foundations And Foils

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Quantum Theory: Informational Foundations and Foils

Author : Giulio Chiribella,Robert W. Spekkens
Publisher : Springer
Page : 528 pages
File Size : 49,8 Mb
Release : 2015-12-08
Category : Science
ISBN : 9789401773034

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Quantum Theory: Informational Foundations and Foils by Giulio Chiribella,Robert W. Spekkens Pdf

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.

Quantum Foundations, Probability and Information

Author : Andrei Khrennikov,Bourama Toni
Publisher : Springer
Page : 295 pages
File Size : 48,8 Mb
Release : 2018-06-13
Category : Science
ISBN : 9783319749716

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Quantum Foundations, Probability and Information by Andrei Khrennikov,Bourama Toni Pdf

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 Theory from First Principles

Author : Giacomo Mauro D'Ariano,Giulio Chiribella,Paolo Perinotti
Publisher : Cambridge University Press
Page : 359 pages
File Size : 45,8 Mb
Release : 2017-01-28
Category : Science
ISBN : 9781107043428

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Quantum Theory from First Principles by Giacomo Mauro D'Ariano,Giulio Chiribella,Paolo Perinotti Pdf

A new presentation of quantum theory and quantum information based on fundamental principles, for anyone seeking a deeper understanding of the subject.

Understanding Quantum Raffles

Author : Michael Janas,Michael E. Cuffaro,Michel Janssen
Publisher : Springer Nature
Page : 267 pages
File Size : 46,5 Mb
Release : 2021-12-03
Category : Science
ISBN : 9783030859398

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Understanding Quantum Raffles by Michael Janas,Michael E. Cuffaro,Michel Janssen Pdf

This book offers a thorough technical elaboration and philosophical defense of an objectivist informational interpretation of quantum mechanics according to which its novel content is located in its kinematical framework, that is, in how the theory describes systems independently of the specifics of their dynamics. It will be of interest to researchers and students in the philosophy of physics and in theoretical physics with an interest in the foundations of quantum mechanics. Additionally, parts of the book may be used as the basis for courses introducing non-physics majors to quantum mechanics, or for self-study by those outside of the university with an interest in quantum mechanics. With a Foreword by Jeffrey Bub. -- “Understanding Quantum Raffles is a wonderful book for both the specialists and those with curious minds. The elegance and the simplicity with which the 'three Mikes' explain some of the deepest aspects of quantum mechanics on the basis of probabilities and correlations are dazzling and delightful. The same elegance and simplicity also make the book ideal for any engaged reader who ever wondered what is so special about quantum mechanics. In our age of new quantum technologies, this is something anyone should read.” (Guido Bacciagaluppi, author of Quantum Theory at the Crossroads) “This book makes a sustained argument for an informational interpretation of quantum theory, blending an elegant mathematical characterisation of quantum correlations with incisive historical and philosophical analysis. A must-read for those interested in quantum foundations, and also a fertile source of teaching inspiration for quantum theory.” (Leah Henderson, Department of Theoretical Philosophy, University of Groningen) “This is one of the most fascinating and accessible presentations of the informational approach to quantum mechanics. What has so far been mostly restricted to the theoretical physics community is here masterfully explained for a broader audience even without a physics background. Scholars, students, and laypeople alike will appreciate the clear, vivid, and yet deep discussion of what raffle tickets and correlation elliptopes can tell us about the physics and philosophy of the quantum world.” (Markus Müller, Institute for Quantum Optics and Quantum Information, Vienna)

Quantum Information Theory and the Foundations of Quantum Mechanics

Author : Christopher G. Timpson
Publisher : OUP Oxford
Page : 320 pages
File Size : 43,9 Mb
Release : 2013-04-25
Category : Philosophy
ISBN : 9780191662904

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Quantum Information Theory and the Foundations of Quantum Mechanics by Christopher G. Timpson Pdf

Quantum Information Theory and the Foundations of Quantum Mechanics is a conceptual analysis of one the most prominent and exciting new areas of physics, providing the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. Beginning from a careful, revisionary, analysis of the concepts of information in the everyday and classical information-theory settings, Christopher G. Timpson argues for an ontologically deflationary account of the nature of quantum information. Against what many have supposed, quantum information can be clearly defined (it is not a primitive or vague notion) but it is not part of the material contents of the world. Timpson's account sheds light on the nature of nonlocality and information flow in the presence of entanglement and, in particular, dissolves puzzles surrounding the remarkable process of quantum teleportation. In addition it permits a clear view of what the ontological and methodological lessons provided by quantum information theory are; lessons which bear on the gripping question of what role a concept like information has to play in fundamental physics. Topics discussed include the slogan 'Information is Physical', the prospects for an informational immaterialism (the view that information rather than matter might fundamentally constitute the world), and the status of the Church-Turing hypothesis in light of quantum computation. With a clear grasp of the concept of information in hand, Timpson turns his attention to the pressing question of whether advances in quantum information theory pave the way for the resolution of the traditional conceptual problems of quantum mechanics: the deep problems which loom over measurement, nonlocality and the general nature of quantum ontology. He marks out a number of common pitfalls to be avoided before analysing in detail some concrete proposals, including the radical quantum Bayesian programme of Caves, Fuchs, and Schack. One central moral which is drawn is that, for all the interest that the quantum information-inspired approaches hold, no cheap resolutions to the traditional problems of quantum mechanics are to be had.

Quantum Foundations

Author : Pedro W. Lamberti,Gustavo M. Bosyk,Sebastian Fortin,Federico Holik
Publisher : MDPI
Page : 188 pages
File Size : 50,5 Mb
Release : 2019-04-02
Category : Science
ISBN : 9783038977544

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Quantum Foundations by Pedro W. Lamberti,Gustavo M. Bosyk,Sebastian Fortin,Federico Holik Pdf

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.

Information Theory and Quantum Physics

Author : Herbert S. Green
Publisher : Springer Science & Business Media
Page : 264 pages
File Size : 52,9 Mb
Release : 2000
Category : Computers
ISBN : 354066517X

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Information Theory and Quantum Physics by Herbert S. Green Pdf

In this book, H. S. Green, a former student of Max Born and well known as an author in physics and in philosophy of science, presents an individual and modern approach to theoretical physics and related fundamental problems. Starting from first principles, the links between physics and information science are unveiled step by step: modern information theory and the classical theory of the Turing machine are combined to create a new interpretation of quantum computability, which is then applied to field theory, gravitation and submicroscopic measurement theory and culminates in a detailed examination of the role of the conscious observer in physical measurements. The result is a highly readable book that unifies a wide range of scientific knowledge and is essential reading for all scientists and philosophers of science interested in the interpretation and the implications of the interaction between information science and basic physical theories.

What is Quantum Information?

Author : Olimpia Lombardi,Sebastian Fortin,Federico Holik,Cristian López
Publisher : Cambridge University Press
Page : 275 pages
File Size : 45,8 Mb
Release : 2017-04-24
Category : Philosophy
ISBN : 9781107142114

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What is Quantum Information? by Olimpia Lombardi,Sebastian Fortin,Federico Holik,Cristian López Pdf

Combining physics and philosophy, this is a uniquely interdisciplinary examination of quantum information science. Suitable as both a discussion of the conceptual and philosophical problems of this field and a comprehensive stand-alone introduction, this book will benefit both experienced and new researchers in quantum information and the philosophy of physics.

Quantum Information and Foundations

Author : Giacomo Mauro D’Ariano,Paolo Perinotti
Publisher : MDPI
Page : 508 pages
File Size : 52,7 Mb
Release : 2020-03-23
Category : Mathematics
ISBN : 9783039283804

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Quantum Information and Foundations by Giacomo Mauro D’Ariano,Paolo Perinotti Pdf

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.

Quantum Probability and Randomness

Author : Andrei Khrennikov,Karl Svozil
Publisher : MDPI
Page : 276 pages
File Size : 44,9 Mb
Release : 2019-04-18
Category : Science
ISBN : 9783038977148

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Quantum Probability and Randomness by Andrei Khrennikov,Karl Svozil Pdf

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.

Quantum Theory

Author : Guillaume Adenier,Theo M. Nieuwenhuizen
Publisher : American Institute of Physics
Page : 484 pages
File Size : 52,9 Mb
Release : 2006-01-05
Category : Computers
ISBN : UOM:39015069183245

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Quantum Theory by Guillaume Adenier,Theo M. Nieuwenhuizen Pdf

This Växjö conference was devoted to the reconsideration of quantum foundations. Due to increasing research in quantum information theory, especially on quantum computing and cryptography, many questions regarding the foundations of quantum mechanics, which have long been considered to be exclusively of philosophical interest, nowadays play an important role in theoretical and experimental quantum physics.

Entropy in Foundations of Quantum Physics

Author : Marcin Pawłowski
Publisher : MDPI
Page : 266 pages
File Size : 55,9 Mb
Release : 2020-12-15
Category : Computers
ISBN : 9783039289516

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Entropy in Foundations of Quantum Physics by Marcin Pawłowski Pdf

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.

The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson

Author : Arkady Plotnitsky
Publisher : Springer
Page : 313 pages
File Size : 45,8 Mb
Release : 2016-09-26
Category : Science
ISBN : 9783319320687

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The Principles of Quantum Theory, From Planck's Quanta to the Higgs Boson by Arkady Plotnitsky Pdf

The book considers foundational thinking in quantum theory, focusing on the role the fundamental principles and principle thinking there, including thinking that leads to the invention of new principles, which is, the book contends, one of the ultimate achievements of theoretical thinking in physics and beyond. The focus on principles, prominent during the rise and in the immediate aftermath of quantum theory, has been uncommon in more recent discussions and debates concerning it. The book argues, however, that exploring the fundamental principles and principle thinking is exceptionally helpful in addressing the key issues at stake in quantum foundations and the seemingly interminable debates concerning them. Principle thinking led to major breakthroughs throughout the history of quantum theory, beginning with the old quantum theory and quantum mechanics, the first definitive quantum theory, which it remains within its proper (nonrelativistic) scope. It has, the book also argues, been equally important in quantum field theory, which has been the frontier of quantum theory for quite a while now, and more recently, in quantum information theory, where principle thinking was given new prominence. The approach allows the book to develop a new understanding of both the history and philosophy of quantum theory, from Planck’s quantum to the Higgs boson, and beyond, and of the thinking the key founding figures, such as Einstein, Bohr, Heisenberg, Schrödinger, and Dirac, as well as some among more recent theorists. The book also extensively considers the nature of quantum probability, and contains a new interpretation of quantum mechanics, “the statistical Copenhagen interpretation.” Overall, the book’s argument is guided by what Heisenberg called “the spirit of Copenhagen,” which is defined by three great divorces from the preceding foundational thinking in physics—reality from realism, probability from causality, and locality from relativity—and defined the fundamental principles of quantum theory accordingly.

Foundations of Quantum Theory

Author : E.M. Rasel,W.P. Schleich,S. Wölk
Publisher : IOS Press
Page : 432 pages
File Size : 42,5 Mb
Release : 2019-01-23
Category : Science
ISBN : 9781614999379

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Foundations of Quantum Theory by E.M. Rasel,W.P. Schleich,S. Wölk Pdf

This volume provides a summary of the lectures presented at the International School of Physics "Enrico Fermi" on the Foundations of Quantum Theory, organized by the Italian Physical Society in Varenna, Italy from 8-13 July 2016, in collaboration with the Wilhelm und Else Heraeus-Stiftung. It was the first "Enrico Fermi" Summer School on this topic since 1977. Its main goal was to provide an overview of the recent theoretical and experimental developments in an active field of research, the foundations of quantum mechanics. The field is characterized by a dichotomy of unparalleled agreement between theory and experiment on the one hand, and an enormous variety of interpretations of the underlying mathematical formalism on the other hand. This proceedings of the "Enrico Fermi" Summer School of July 2016 contains 21 contributions on a range of topics: the history and interpretations of quantum theory; the principle of complementarity and wave-particle duality; quantum theory from first principles; the reality of the wave function; the concept of the photon; measurement in quantum theory; the interface of quantum theory and general relativity; and quantum optical tests of quantum theory.

Exploring Quantum Foundations with Single Photons

Author : Martin Ringbauer
Publisher : Springer
Page : 208 pages
File Size : 48,8 Mb
Release : 2017-08-21
Category : Science
ISBN : 9783319649887

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Exploring Quantum Foundations with Single Photons by Martin Ringbauer Pdf

This thesis uses high-precision single-photon experiments to shed new light on the role of reality, causality, and uncertainty in quantum mechanics. It provides a comprehensive introduction to the current understanding of quantum foundations and details three influential experiments that significantly advance our understanding of three core aspects of this problem. The first experiment demonstrates that the quantum wavefunction is part of objective reality, if there is any such reality in our world. The second experiment shows that quantum correlations cannot be explained in terms of cause and effect, even when considering superluminal influences between measurement outcomes. The final experiment in this thesis demonstrates a novel uncertainty relation for joint quantum measurements, where the textbook relation does not apply.