Quantum Information Theory And The Foundations Of Quantum Mechanics

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Quantum Information Theory and the Foundations of Quantum Mechanics

Author : Christopher G. Timpson
Publisher : OUP Oxford
Page : 320 pages
File Size : 44,5 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 Information Theory and the Foundations of Quantum Mechanics

Author : Christopher G. Timpson
Publisher : Oxford University Press
Page : 308 pages
File Size : 55,8 Mb
Release : 2013-04-25
Category : Philosophy
ISBN : 9780199296460

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

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.

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

Author : Masanori Ohya,I. Volovich
Publisher : Springer Science & Business Media
Page : 768 pages
File Size : 47,7 Mb
Release : 2011-01-15
Category : Science
ISBN : 9789400701717

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Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems by Masanori Ohya,I. Volovich Pdf

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.

Information Theory and Quantum Physics

Author : Herbert S. Green
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642571626

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Information Theory and Quantum Physics by Herbert S. Green Pdf

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.

The Theory of Quantum Information

Author : John Watrous
Publisher : Unknown
Page : 599 pages
File Size : 49,5 Mb
Release : 2018-04-26
Category : Computers
ISBN : 9781107180567

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The Theory of Quantum Information by John Watrous Pdf

Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

Quantum Information Processing with Finite Resources

Author : Marco Tomamichel
Publisher : Springer
Page : 138 pages
File Size : 46,5 Mb
Release : 2015-10-14
Category : Science
ISBN : 9783319218915

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Quantum Information Processing with Finite Resources by Marco Tomamichel Pdf

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.

Quantum Information Theory

Author : Mark Wilde
Publisher : Cambridge University Press
Page : 673 pages
File Size : 53,7 Mb
Release : 2013-04-18
Category : Computers
ISBN : 9781107034259

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Quantum Information Theory by Mark Wilde Pdf

A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

Quantum Theory: Informational Foundations and Foils

Author : Giulio Chiribella,Robert W. Spekkens
Publisher : Springer
Page : 528 pages
File Size : 48,6 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 Information Theory

Author : Masahito Hayashi
Publisher : Springer
Page : 636 pages
File Size : 40,7 Mb
Release : 2016-11-03
Category : Computers
ISBN : 9783662497258

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Quantum Information Theory by Masahito Hayashi Pdf

This graduate textbook provides a unified view of quantum information theory. Clearly explaining the necessary mathematical basis, it merges key topics from both information-theoretic and quantum- mechanical viewpoints and provides lucid explanations of the basic results. Thanks to this unified approach, it makes accessible such advanced topics in quantum communication as quantum teleportation, superdense coding, quantum state transmission (quantum error-correction) and quantum encryption. Since the publication of the preceding book Quantum Information: An Introduction, there have been tremendous strides in the field of quantum information. In particular, the following topics – all of which are addressed here – made seen major advances: quantum state discrimination, quantum channel capacity, bipartite and multipartite entanglement, security analysis on quantum communication, reverse Shannon theorem and uncertainty relation. With regard to the analysis of quantum security, the present book employs an improved method for the evaluation of leaked information and identifies a remarkable relation between quantum security and quantum coherence. Taken together, these two improvements allow a better analysis of quantum state transmission. In addition, various types of the newly discovered uncertainty relation are explained. Presenting a wealth of new developments, the book introduces readers to the latest advances and challenges in quantum information. To aid in understanding, each chapter is accompanied by a set of exercises and solutions.

What is Quantum Information?

Author : Olimpia Lombardi,Sebastian Fortin,Federico Holik,Cristian López
Publisher : Cambridge University Press
Page : 275 pages
File Size : 48,8 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 Computation and Quantum Information Theory

Author : Chiara Macchiavello,G. M. Palma,Anton Zeilinger
Publisher : World Scientific
Page : 531 pages
File Size : 44,5 Mb
Release : 2000
Category : Science
ISBN : 9789810241179

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Quantum Computation and Quantum Information Theory by Chiara Macchiavello,G. M. Palma,Anton Zeilinger Pdf

Quantum Entanglement Manipulation - Quantum Algorithms - Quantum Complexity - Quantum Error Correction - Quantum Channels - Entanglement Purification and Long-Distance Quantum Communication - Quantum Key Distribution - Cavity Quantum Electrodynamics - Quantum Computation with Ion Traps - Josephson Junctions and Quantum Computation - Quantum Computing in Optical Lattices - Quantum Computation and Quantum Communication with Electrons - NMR Quantum Computing.

Quantum Information and Foundations

Author : Giacomo Mauro D’Ariano,Paolo Perinotti
Publisher : MDPI
Page : 508 pages
File Size : 51,9 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 Computation and Quantum Information

Author : Michael A. Nielsen,Isaac L. Chuang
Publisher : Cambridge University Press
Page : 709 pages
File Size : 52,8 Mb
Release : 2010-12-09
Category : Science
ISBN : 9781139495486

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Quantum Computation and Quantum Information by Michael A. Nielsen,Isaac L. Chuang Pdf

One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.

Quantum Information Theory

Author : Masahito Hayashi
Publisher : Unknown
Page : 636 pages
File Size : 49,8 Mb
Release : 2017
Category : Data structures (Computer scienc
ISBN : 3662497247

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Quantum Information Theory by Masahito Hayashi Pdf

Introduction to Quantum Information Science

Author : Masahito Hayashi,Satoshi Ishizaka,Akinori Kawachi,Gen Kimura,Tomohiro Ogawa
Publisher : Springer
Page : 332 pages
File Size : 40,7 Mb
Release : 2014-08-22
Category : Computers
ISBN : 9783662435021

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Introduction to Quantum Information Science by Masahito Hayashi,Satoshi Ishizaka,Akinori Kawachi,Gen Kimura,Tomohiro Ogawa Pdf

This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum cryptography. The required knowledge is only elementary calculus and linear algebra. This way the book can be understood by undergraduate students. In order to study quantum information, one usually has to study the foundation of quantum theory. This book describes it from more an operational viewpoint which is suitable for quantum information while traditional textbooks of quantum theory lack this viewpoint. The current book bases on Shor's algorithm, Grover's algorithm, Deutsch-Jozsa's algorithm as basic algorithms. To treat several topics in quantum information, this book covers several kinds of information quantities in quantum systems including von Neumann entropy. The limits of several kinds of quantum information processing are given. As important quantum protocols, this book contains quantum teleportation, quantum dense coding, quantum data compression. In particular conversion theory of entanglement via local operation and classical communication are treated too. This theory provides the quantification of entanglement, which coincides with von Neumann entropy. The next part treats the quantum hypothesis testing. The decision problem of two candidates of the unknown state are given. The asymptotic performance of this problem is characterized by information quantities. Using this result, the optimal performance of classical information transmission via noisy quantum channel is derived. Quantum information transmission via noisy quantum channel by quantum error correction are discussed too. Based on this topic, the secure quantum communication is explained. In particular, the quantification of quantum security which has not been treated in existing book is explained. This book treats quantum cryptography from a more practical viewpoint.