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Quantum Information Theory and the Foundations of Quantum Mechanics

Quantum Information Theory and the Foundations of Quantum Mechanics PDF Author: Christopher G. Timpson
Publisher: Oxford University Press
ISBN: 0199296464
Category : Philosophy
Languages : en
Pages : 308

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 Information Theory and the Foundations of Quantum Mechanics

Quantum Information Theory and the Foundations of Quantum Mechanics PDF Author: Christopher G. Timpson
Publisher: Oxford University Press
ISBN: 0199296464
Category : Philosophy
Languages : en
Pages : 308

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.

Information Theory and Quantum Physics

Information Theory and Quantum Physics PDF Author: Herbert S. Green
Publisher: Springer Science & Business Media
ISBN: 364257162X
Category : Science
Languages : en
Pages : 248

Book Description
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.

Quantum Information Theory

Quantum Information Theory PDF Author: Mark Wilde
Publisher: Cambridge University Press
ISBN: 1107034256
Category : Computers
Languages : en
Pages : 673

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

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

Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bio-systems PDF Author: Masanori Ohya
Publisher: Springer Science & Business Media
ISBN: 9400701713
Category : Science
Languages : en
Pages : 768

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.

Foundations of Quantum Mechanics

Foundations of Quantum Mechanics PDF Author: Travis Norsen
Publisher: Springer
ISBN: 3319658670
Category : Science
Languages : en
Pages : 310

Book Description
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.

Quantum Information Processing with Finite Resources

Quantum Information Processing with Finite Resources PDF Author: Marco Tomamichel
Publisher: Springer
ISBN: 3319218913
Category : Science
Languages : en
Pages : 138

Book Description
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

Quantum Information Theory PDF Author: Mark M. Wilde
Publisher: Cambridge University Press
ISBN: 1316813304
Category : Computers
Languages : en
Pages : 1020

Book Description
Developing many of the major, exciting, pre- and post-millennium developments from the ground up, this book is an ideal entry point for graduate students into quantum information theory. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense coding, and entanglement distribution are presented. In this new edition, readers can expect to find over 100 pages of new material, including detailed discussions of Bell's theorem, the CHSH game, Tsirelson's theorem, the axiomatic approach to quantum channels, the definition of the diamond norm and its interpretation, and a proof of the Choi–Kraus theorem. Discussion of the importance of the quantum dynamic capacity formula has been completely revised, and many new exercises and references have been added. This new edition will be welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.

The Theory of Quantum Information

The Theory of Quantum Information PDF Author: John Watrous
Publisher:
ISBN: 1107180562
Category : Computers
Languages : en
Pages : 599

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

Quantum Computation and Quantum Information Theory

Quantum Computation and Quantum Information Theory PDF Author: Chiara Macchiavello
Publisher: World Scientific
ISBN: 9810241178
Category : Science
Languages : en
Pages : 531

Book Description
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.

The Theoretical Foundations of Quantum Mechanics

The Theoretical Foundations of Quantum Mechanics PDF Author: Belal E. Baaquie
Publisher: Springer Science & Business Media
ISBN: 146146224X
Category : Science
Languages : en
Pages : 274

Book Description
The Theoretical Foundations of Quantum Mechanics addresses fundamental issues that are not discussed in most books on quantum mechanics. This book focuses on analyzing the underlying principles of quantum mechanics and explaining the conceptual and theoretical underpinning of quantum mechanics. In particular, the concepts of quantum indeterminacy, quantum measurement and quantum superposition are analyzed to clarify the concepts that are implicit in the formulation of quantum mechanics. The Schrodinger equation is never solved in the book. Rather, the discussion on the fundamentals of quantum mechanics is treated in a rigorous manner based on the mathematics of quantum mechanics. The new concept of the interplay of empirical and trans-empirical constructs in quantum mechanics is introduced to clarify the foundations of quantum mechanics and to explain the counter-intuitive construction of nature in quantum mechanics. The Theoretical Foundations of Quantum Mechanics is aimed at the advanced undergraduate and assumes introductory knowledge of quantum mechanics. Its objective is to provide a solid foundation for the reader to reach a deeper understanding of the principles of quantum mechanics.