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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.

Geometry of Quantum States 2nd Edition

Geometry of Quantum States  2nd Edition Author Ingemar Bengtsson. Karol Życzkowski
ISBN-10 1108292895
Release 2017
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Geometry of Quantum States 2nd Edition has been writing in one form or another for most of life. You can find so many inspiration from Geometry of Quantum States 2nd Edition also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Geometry of Quantum States 2nd Edition book for free.

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.

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.

Topology and Geometry for Physics

Topology and Geometry for Physics Author Helmut Eschrig
ISBN-10 9783642147005
Release 2011-01-26
Pages 390
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A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.

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.

An Introduction to Quantum Physics

An Introduction to Quantum Physics Author A.P. French
ISBN-10 9781351466998
Release 2018-05-11
Pages 696
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Provides comprehensive coverage of all the fundamentals of quantum physics. Full mathematical treatments are given. Uses examples from different areas of physics to demonstrate how theories work in practice. Text derived from lectures delivered at Massachusetts Institute of Technology.

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.

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.

The Theory of Quantum Information

The Theory of Quantum Information Author John Watrous
ISBN-10 9781107180567
Release 2018-04-26
Pages 598
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Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

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.

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."

Quantum Information Computation and Communication

Quantum Information  Computation and Communication Author Jonathan A. Jones
ISBN-10 9781139510622
Release 2012-07-19
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Quantum physics allows entirely new forms of computation and cryptography, which could perform tasks currently impossible on classical devices, leading to an explosion of new algorithms, communications protocols and suggestions for physical implementations of all these ideas. As a result, quantum information has made the transition from an exotic research topic to part of mainstream undergraduate courses in physics. Based on years of teaching experience, this textbook builds from simple fundamental concepts to cover the essentials of the field. Aimed at physics undergraduate students with a basic background in quantum mechanics, it guides readers through theory and experiment, introducing all the central concepts without getting caught up in details. Worked examples and exercises make this useful as a self-study text for those who want a brief introduction before starting on more advanced books. Solutions are available online at

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 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.

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.