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Geometry of Quantum States

Geometry of Quantum States Author Ingemar Bengtsson
ISBN-10 9781108293495
Release 2017-08-18
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Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

Quantum Geometry

Quantum Geometry Author Jan Ambjørn
ISBN-10 0521461677
Release 1997-06-19
Pages 363
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Describes random geometry and applications to strings, quantum gravity, topological field theory and membrane physics.

Quantum Information Theory

Quantum Information Theory Author Masahito Hayashi
ISBN-10 9783662497258
Release 2016-11-03
Pages 636
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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.

Quantum Computing

Quantum Computing Author Eleanor G. Rieffel
ISBN-10 9780262015066
Release 2011-03-04
Pages 372
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A thorough exposition of quantum computing and the underlying concepts of quantum physics, with explanations of the relevant mathematics and numerous examples.

Introduction to Quantum Information Science

Introduction to Quantum Information Science Author Vlatko Vedral
ISBN-10 9780199215706
Release 2006-09-28
Pages 183
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In addition to treating quantum communication, entanglement and algorithms, this book also addresses a number of miscellaneous topics, such as Maxwell's demon, Landauer's erasure, the Bekenstein bound and Caratheodory's treatment of the Second law of thermodyanmics.

Measuring the Quantum State of Light

Measuring the Quantum State of Light Author Ulf Leonhardt
ISBN-10 0521023521
Release 2005-11-24
Pages 208
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Quantum mechanics sets fundamental limits on the amount of information one can extract from a system with a single set of measurements. Recent results of new theoretical analyses and optical experiments have given rise to a more complete knowledge of the quantum properties of light. This book gives the first detailed description of this fascinating branch of quantum optics. The author describes some key results and tools from quantum optics and then discusses the quantum mechanical description of simple optical instruments before giving a detailed treatment of quantum tomography. The book concludes with a chapter devoted to the problem of the simultaneous measurement of position and momentum. This book will appeal to graduate students and researchers in quantum optics as well as anyone interested in the foundations of quantum mechanics or more general problems of quantum measurement.

Quantum Computation and Quantum Information

Quantum Computation and Quantum Information Author Michael A. Nielsen
ISBN-10 9781139495486
Release 2010-12-09
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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 State Diffusion

Quantum State Diffusion Author Ian Percival
ISBN-10 0521620074
Release 1998-12-10
Pages 184
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The first book devoted to quantum state diffusion - suitable for graduate students and researchers.

The Physics of Quantum Mechanics

The Physics of Quantum Mechanics Author James Binney
ISBN-10 9780199688579
Release 2013-12
Pages 392
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"First published by Cappella Archive in 2008."

Advanced Quantum Communications

Advanced Quantum Communications Author Sandor Imre
ISBN-10 9781118337455
Release 2012-11-27
Pages 488
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The book provides an overview of the most advanced quantum informational geometric techniques, which can help quantum communication theorists analyze quantum channels, such as security or additivity properties. Each section addresses an area of major research of quantum information theory and quantum communication networks. The authors present the fundamental theoretical results of quantum information theory, while also presenting the details of advanced quantum ccommunication protocols with clear mathematical and information theoretical background. This book bridges the gap between quantum physics, quantum information theory, and practical engineering.

Geometric Phases in Classical and Quantum Mechanics

Geometric Phases in Classical and Quantum Mechanics Author Dariusz Chruscinski
ISBN-10 081764282X
Release 2004-06-15
Pages 337
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Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.

Local Quantum Physics

Local Quantum Physics Author Rudolf Haag
ISBN-10 9783642614583
Release 2012-12-06
Pages 392
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The new edition provided the opportunity of adding a new chapter entitled "Principles and Lessons of Quantum Physics". It was a tempting challenge to try to sharpen the points at issue in the long lasting debate on the Copenhagen Spirit, to assess the significance of various arguments from our present vantage point, seventy years after the advent of quantum theory, where, after ali, some problems appear in a different light. It includes a section on the assumptions leading to the specific mathematical formalism of quantum theory and a section entitled "The evolutionary picture" describing my personal conclusions. Alto gether the discussion suggests that the conventional language is too narrow and that neither the mathematical nor the conceptual structure are built for eter nity. Future theories will demand radical changes though not in the direction of a return to determinism. Essential lessons taught by Bohr will persist. This chapter is essentially self-contained. Some new material has been added in the last chapter. It concerns the char acterization of specific theories within the general frame and recent progress in quantum field theory on curved space-time manifolds. A few pages on renor malization have been added in Chapter II and some effort has been invested in the search for mistakes and unclear passages in the first edition. The central objective of the book, expressed in the title "Local Quantum Physics", is the synthesis between special relativity and quantum theory to gether with a few other principles of general nature.

Quantum Information Theory

Quantum Information Theory Author Mark M. Wilde
ISBN-10 9781316813300
Release 2017-02-06
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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.

Geometry of Quantum States An Introduction to Quantum Entanglement

Geometry of Quantum States  An Introduction to Quantum Entanglement Author CTI Reviews
ISBN-10 9781467204415
Release 2016-10-16
Pages 17
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Facts101 is your complete guide to Geometry of Quantum States, An Introduction to Quantum Entanglement. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Introduction to Quantum Computation and Information

Introduction to Quantum Computation and Information Author Hoi-Kwong Lo
ISBN-10 981024410X
Release 1998
Pages 348
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"The book fills a gap between the turgid prose of the burgeoning research literature and the superficial accounts in the popular press." Nature, 1999 "The concepts introduced in this book and the forecast of future directions provided should continue to provide a good primer for the exciting breakthrough anticipated in this field." Mathematics Abstracts, 2001 "Despite its age, this book remains an excellent way to learn the basics of quantum information." Quantum Information and Computation, 2002

Quantum Theory Concepts and Methods

Quantum Theory  Concepts and Methods Author A. Peres
ISBN-10 9780306471209
Release 2006-06-01
Pages 450
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There are many excellent books on quantum theory from which one can learn to compute energy levels, transition rates, cross sections, etc. The theoretical rules given in these books are routinely used by physicists to compute observable quantities. Their predictions can then be compared with experimental data. There is no fundamental disagreement among physicists on how to use the theory for these practical purposes. However, there are profound differences in their opinions on the ontological meaning of quantum theory. The purpose of this book is to clarify the conceptual meaning of quantum theory, and to explain some of the mathematical methods which it utilizes. This text is not concerned with specialized topics such as atomic structure, or strong or weak interactions, but with the very foundations of the theory. This is not, however, a book on the philosophy of science. The approach is pragmatic and strictly instrumentalist. This attitude will undoubtedly antagonize some readers, but it has its own logic: quantum phenomena do not occur in a Hilbert space, they occur in a laboratory.

The Age of Entanglement

The Age of Entanglement Author Louisa Gilder
ISBN-10 030727036X
Release 2008-11-11
Pages 352
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In The Age of Entanglement, Louisa Gilder brings to life one of the pivotal debates in twentieth century physics. In 1935, Albert Einstein famously showed that, according to the quantum theory, separated particles could act as if intimately connected–a phenomenon which he derisively described as “spooky action at a distance.” In that same year, Erwin Schrödinger christened this correlation “entanglement.” Yet its existence was mostly ignored until 1964, when the Irish physicist John Bell demonstrated just how strange this entanglement really was. Drawing on the papers, letters, and memoirs of the twentieth century’s greatest physicists, Gilder both humanizes and dramatizes the story by employing the scientists’ own words in imagined face-to-face dialogues. The result is a richly illuminating exploration of one of the most exciting concepts of quantum physics. From the Trade Paperback edition.