Coding Theorems Of Classical And Quantum Information Theory

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Quantum Information Theory

Author : Mark Wilde
Publisher : Cambridge University Press
Page : 673 pages
File Size : 42,9 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.

The Theory of Quantum Information

Author : John Watrous
Publisher : Unknown
Page : 599 pages
File Size : 46,7 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 Theory

Author : Masahito Hayashi
Publisher : Springer
Page : 636 pages
File Size : 41,8 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.

Quantum Information Theory

Author : Mark M. Wilde
Publisher : Cambridge University Press
Page : 673 pages
File Size : 55,6 Mb
Release : 2013-04-18
Category : Computers
ISBN : 9781107067844

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Quantum Information Theory by Mark M. Wilde Pdf

Finally, here is a modern, self-contained text on quantum information theory suitable for graduate-level courses. Developing the subject 'from the ground up' it covers classical results as well as major advances of the past decade. Beginning with an extensive overview of classical information theory suitable for the non-expert, the author then turns his attention to quantum mechanics for quantum information theory, and the important protocols of teleportation, super-dense coding and entanglement distribution. He develops all of the tools necessary for understanding important results in quantum information theory, including capacity theorems for classical, entanglement-assisted, private and quantum communication. The book also covers important recent developments such as superadditivity of private, coherent and Holevo information, and the superactivation of quantum capacity. This book will be warmly welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.

Classical and Quantum Information Theory

Author : Emmanuel Desurvire
Publisher : Cambridge University Press
Page : 714 pages
File Size : 47,9 Mb
Release : 2009-02-19
Category : Computers
ISBN : 9780521881715

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Classical and Quantum Information Theory by Emmanuel Desurvire Pdf

This complete overview of classical and quantum information theory employs an informal yet accurate approach, for students, researchers and practitioners.

Classical and Quantum Information Theory for the Physicist

Author : Harish Parthasarathy
Publisher : CRC Press
Page : 263 pages
File Size : 46,5 Mb
Release : 2022-12-23
Category : Science
ISBN : 9781000815429

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Classical and Quantum Information Theory for the Physicist by Harish Parthasarathy Pdf

This book deals with certain important problems in Classical and Quantum Information Theory Quantum Information Theory, A Selection of Matrix Inequalities Stochastic Filtering Theory Applied to Electromagnetic Fields and Strings Wigner-distributions in Quantum Mechanics Quantization of Classical Field Theories Statistical Signal Processing Quantum Field Theory, Quantum Statistics, Gravity, Stochastic Fields and Information Problems in Information Theory It will be very helpful for students of Undergraduate and Postgraduate Courses in Electronics, Communication and Signal Processing. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan).

Quantum Information Theory

Author : Joseph Renes
Publisher : Walter de Gruyter GmbH & Co KG
Page : 328 pages
File Size : 51,6 Mb
Release : 2022-08-01
Category : Science
ISBN : 9783110570328

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Quantum Information Theory by Joseph Renes Pdf

If the carriers of information are governed by quantum mechanics, new principles for information processing apply. This graduate textbook introduces the underlying mathematical theory for quantum communication, computation, and cryptography. A focus lies on the concept of quantum channels, understanding fi gures of merit, e.g. fidelities and entropies in the quantum world, and understanding the interrelationship of various quantum information processing protocols.

Classical and Quantum Information

Author : Dan C. Marinescu
Publisher : Academic Press
Page : 744 pages
File Size : 43,5 Mb
Release : 2011-01-07
Category : Mathematics
ISBN : 0123838754

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Classical and Quantum Information by Dan C. Marinescu Pdf

A new discipline, Quantum Information Science, has emerged in the last two decades of the twentieth century at the intersection of Physics, Mathematics, and Computer Science. Quantum Information Processing is an application of Quantum Information Science which covers the transformation, storage, and transmission of quantum information; it represents a revolutionary approach to information processing. Classical and Quantum Information covers topics in quantum computing, quantum information theory, and quantum error correction, three important areas of quantum information processing. Quantum information theory and quantum error correction build on the scope, concepts, methodology, and techniques developed in the context of their close relatives, classical information theory and classical error correcting codes. Presents recent results in quantum computing, quantum information theory, and quantum error correcting codes Covers both classical and quantum information theory and error correcting codes The last chapter of the book covers physical implementation of quantum information processing devices Covers the mathematical formalism and the concepts in Quantum Mechanics critical for understanding the properties and the transformations of quantum information

Quantum Information Processing

Author : János A. Bergou,Mark Hillery,Mark Saffman
Publisher : Springer Nature
Page : 310 pages
File Size : 44,9 Mb
Release : 2021-09-14
Category : Computers
ISBN : 9783030754365

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Quantum Information Processing by János A. Bergou,Mark Hillery,Mark Saffman Pdf

This new edition of a well-received textbook provides a concise introduction to both the theoretical and experimental aspects of quantum information at the graduate level. While the previous edition focused on theory, the book now incorporates discussions of experimental platforms. Several chapters on experimental implementations of quantum information protocols have been added: implementations using neutral atoms, trapped ions, optics, and solidstate systems are each presented in its own chapter. Previous chapters on entanglement, quantum measurements, quantum dynamics, quantum cryptography, and quantum algorithms have been thoroughly updated, and new additions include chapters on the stabilizer formalism and the Gottesman-Knill theorem as well as aspects of classical and quantum information theory. To facilitate learning, each chapter starts with a clear motivation to the topic and closes with exercises and a recommended reading list. Quantum Information Processing: Theory and Implementation will be essential to graduate students studying quantum information as well as and researchers in other areas of physics who wish to gain knowledge in the field.

Quantum Information Processing and Quantum Error Correction

Author : Ivan Djordjevic
Publisher : Academic Press
Page : 597 pages
File Size : 45,9 Mb
Release : 2012-04-16
Category : Computers
ISBN : 9780123854919

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Quantum Information Processing and Quantum Error Correction by Ivan Djordjevic Pdf

Quantum Information Processing and Quantum Error Correction is a self-contained, tutorial-based introduction to quantum information, quantum computation, and quantum error-correction. Assuming no knowledge of quantum mechanics and written at an intuitive level suitable for the engineer, the book gives all the essential principles needed to design and implement quantum electronic and photonic circuits. Numerous examples from a wide area of application are given to show how the principles can be implemented in practice. This book is ideal for the electronics, photonics and computer engineer who requires an easy- to-understand foundation on the principles of quantum information processing and quantum error correction, together with insight into how to develop quantum electronic and photonic circuits. Readers of this book will be ready for further study in this area, and will be prepared to perform independent research. The reader completed the book will be able design the information processing circuits, stabilizer codes, Calderbank-Shor-Steane (CSS) codes, subsystem codes, topological codes and entanglement-assisted quantum error correction codes; and propose corresponding physical implementation. The reader completed the book will be proficient in quantum fault-tolerant design as well. Unique Features Unique in covering both quantum information processing and quantum error correction - everything in one book that an engineer needs to understand and implement quantum-level circuits. Gives an intuitive understanding by not assuming knowledge of quantum mechanics, thereby avoiding heavy mathematics. In-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits. Provides the right balance among the quantum mechanics, quantum error correction, quantum computing and quantum communication. Dr. Djordjevic is an Assistant Professor in the Department of Electrical and Computer Engineering of College of Engineering, University of Arizona, with a joint appointment in the College of Optical Sciences. Prior to this appointment in August 2006, he was with University of Arizona, Tucson, USA (as a Research Assistant Professor); University of the West of England, Bristol, UK; University of Bristol, Bristol, UK; Tyco Telecommunications, Eatontown, USA; and National Technical University of Athens, Athens, Greece. His current research interests include optical networks, error control coding, constrained coding, coded modulation, turbo equalization, OFDM applications, and quantum error correction. He presently directs the Optical Communications Systems Laboratory (OCSL) within the ECE Department at the University of Arizona. Provides everything an engineer needs in one tutorial-based introduction to understand and implement quantum-level circuits Avoids the heavy use of mathematics by not assuming the previous knowledge of quantum mechanics Provides in-depth coverage of the design and implementation of quantum information processing and quantum error correction circuits

Quantum Information Theory and Quantum Statistics

Author : Dénes Petz
Publisher : Springer Science & Business Media
Page : 221 pages
File Size : 40,9 Mb
Release : 2007-10-20
Category : Science
ISBN : 9783540746362

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Quantum Information Theory and Quantum Statistics by Dénes Petz Pdf

This concise and readable book addresses primarily readers with a background in classical statistical physics and introduces quantum mechanical notions as required. Conceived as a primer to bridge the gap between statistical physics and quantum information, it emphasizes concepts and thorough discussions of the fundamental notions and prepares the reader for deeper studies, not least through a selection of well chosen exercises.

Quantum Systems, Channels, Information

Author : Alexander S. Holevo
Publisher : Walter de Gruyter
Page : 364 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783110273403

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Quantum Systems, Channels, Information by Alexander S. Holevo Pdf

The main emphasis of this work is the mathematical theory of quantum channels and their entropic and information characteristics. Quantum information theory is one of the key research areas, since it leads the way to vastly increased computing speeds by using quantum systems to store and process information. Quantum cryptography allows for secure communication of classified information. Research in the field of quantum informatics, including quantum information theory, is in progress in leading scientific centers throughout the world. The past years were marked with impressive progress made by several researchers in solution of some difficult problems, in particular, the additivity of the entropy characteristics of quantum channels. This suggests a need for a book that not only introduces the basic concepts of quantum information theory, but also presents in detail some of the latest achievements.

Information Theory

Author : Imre Csiszár,János Körner
Publisher : Elsevier
Page : 465 pages
File Size : 55,9 Mb
Release : 2014-07-10
Category : Mathematics
ISBN : 9781483281575

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Information Theory by Imre Csiszár,János Körner Pdf

Information Theory: Coding Theorems for Discrete Memoryless Systems presents mathematical models that involve independent random variables with finite range. This three-chapter text specifically describes the characteristic phenomena of information theory. Chapter 1 deals with information measures in simple coding problems, with emphasis on some formal properties of Shannon’s information and the non-block source coding. Chapter 2 describes the properties and practical aspects of the two-terminal systems. This chapter also examines the noisy channel coding problem, the computation of channel capacity, and the arbitrarily varying channels. Chapter 3 looks into the theory and practicality of multi-terminal systems. This book is intended primarily for graduate students and research workers in mathematics, electrical engineering, and computer science.

A Quantum Leap In Information Theory

Author : Stefano Mancini,Andreas Winter
Publisher : World Scientific
Page : 246 pages
File Size : 54,5 Mb
Release : 2020-04-22
Category : Science
ISBN : 9789811201561

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A Quantum Leap In Information Theory by Stefano Mancini,Andreas Winter Pdf

This is an introductory textbook at graduate or advanced undergraduate level. Students with diverse backgrounds, in mathematics, physics and computer science, can use it to become acquainted with the quantum theory of information. Its scope is deliberately chosen to be not too broad, while being self-consistent and usable for a semester-long course for beginners. The subject is presented using a balanced mix of intuitive arguments and rigorous formalism. The emphasis is not on the physical information but rather in the formal and mathematical features of quantum information theory. Only a basic knowledge of algebra is required to understand the contents of this book. In particular, a background in quantum mechanics is not needed, since quantum theory is used as a mere mathematical framework without entering into physical interpretations.The book introduces all necessary concepts from quantum theory and classical information theory, to cover the elements of quantum Shannon theory: quantum states and channels, data compression and entropy, error correcting codes and channel capacities, as well as the basics of entanglement theory and quantum cryptography.Examples are provided to help the reader in understanding the different concepts, together with exercises at the end of each chapter.