Quantum Systems Channels Information

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Quantum Systems, Channels, Information

Alexander S. Holevo
Quantum Systems Channels Information Book PDF

Author : Alexander S. Holevo
Publisher : Walter de Gruyter
Page : 364 pages
File Size : 51,7 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.

Quantum Systems, Channels, Information

Aleksandr S. Cholevo
Quantum Systems Channels Information Book PDF

Author : Aleksandr S. Cholevo
Publisher : de Gruyter
Page : 0 pages
File Size : 49,9 Mb
Release : 2019
Category : Computers
ISBN : 3110642247

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Quantum Systems, Channels, Information by Aleksandr S. Cholevo Pdf

Written by one of the founding fathers of Quantum Information, this book gives an accessible (albeit mathematically rigorous), self-contained introduction to quantum information theory. The central role is played by the concept of quantum channel an

The Theory of Quantum Information

John Watrous
The Theory of Quantum Information Book PDF

Author : John Watrous
Publisher : Unknown
Page : 599 pages
File Size : 43,5 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 Theory

Mark Wilde
Quantum Information Theory Book PDF

Author : Mark Wilde
Publisher : Cambridge University Press
Page : 673 pages
File Size : 46,7 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.

Negative Quantum Channels

James M. McCracken
Negative Quantum Channels Book PDF

Author : James M. McCracken
Publisher : Morgan & Claypool Publishers
Page : 189 pages
File Size : 51,5 Mb
Release : 2014-06-01
Category : Science
ISBN : 9781627051859

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Negative Quantum Channels by James M. McCracken Pdf

This book is a brief introduction to negative quantum channels, i.e., linear, trace-preserving (and consistent) quantum maps that are not completely positive. The flat and sharp operators are introduced and explained. Complete positivity is presented as a mathematical property, but it is argued that complete positivity is not a physical requirement of all quantum operations. Negativity, a measure of the lack of complete positivity, is proposed as a tool for empirically testing complete positivity assumptions. Table of Contents: Preface / Acknowledgments / Introduction and Definition of Terms / Tomography / Non-Positive Reduced Dynamics / Complete Positivity / Physical Motivation of Complete Positivity / Measures of Complete Positivity / Negative Channels / Negative Climates with Diagonal Composite Dynamics / Rabi Channels / Physical Motivations for Sharp Operations / Negative Qubit Channel Examples with Multi-Qubit Baths / Proposed Experimental Demonstration of Negativity / Implications of Negative Channels / Uses for Negative Channels / Conclusions / Bibliography / Author's Biography

Negative Quantum Channels

James M. McCracken
Negative Quantum Channels Book PDF

Author : James M. McCracken
Publisher : Springer Nature
Page : 171 pages
File Size : 52,6 Mb
Release : 2022-05-31
Category : Mathematics
ISBN : 9783031025174

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Negative Quantum Channels by James M. McCracken Pdf

This book is a brief introduction to negative quantum channels, i.e., linear, trace-preserving (and consistent) quantum maps that are not completely positive. The flat and sharp operators are introduced and explained. Complete positivity is presented as a mathematical property, but it is argued that complete positivity is not a physical requirement of all quantum operations. Negativity, a measure of the lack of complete positivity, is proposed as a tool for empirically testing complete positivity assumptions. Table of Contents: Preface / Acknowledgments / Introduction and Definition of Terms / Tomography / Non-Positive Reduced Dynamics / Complete Positivity / Physical Motivation of Complete Positivity / Measures of Complete Positivity / Negative Channels / Negative Climates with Diagonal Composite Dynamics / Rabi Channels / Physical Motivations for Sharp Operations / Negative Qubit Channel Examples with Multi-Qubit Baths / Proposed Experimental Demonstration of Negativity / Implications of Negative Channels / Uses for Negative Channels / Conclusions / Bibliography / Author's Biography

Advanced Quantum Communications

Sandor Imre,Laszlo Gyongyosi
Advanced Quantum Communications Book PDF

Author : Sandor Imre,Laszlo Gyongyosi
Publisher : John Wiley & Sons
Page : 437 pages
File Size : 53,7 Mb
Release : 2012-11-27
Category : Computers
ISBN : 9781118337455

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Advanced Quantum Communications by Sandor Imre,Laszlo Gyongyosi Pdf

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.

Quantum Dynamics and Information

Robert Olkiewicz,Wojciech Cegla,Andrzej Frydryszak
Quantum Dynamics and Information Book PDF

Author : Robert Olkiewicz,Wojciech Cegla,Andrzej Frydryszak
Publisher : World Scientific
Page : 241 pages
File Size : 45,6 Mb
Release : 2011
Category : Science
ISBN : 9789814317436

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Quantum Dynamics and Information by Robert Olkiewicz,Wojciech Cegla,Andrzej Frydryszak Pdf

The central theme of this lecture collection is quantum dynamics, regarded mostly as the dynamics of entanglement and that of decoherence phenomena. Both these concepts appear to refer to the behavior of surprisingly fragile features of quantum systems supposed to model quantum memories and to implement quantum date processing routines. This collection may serve as an essential resource for those interested in both theoretical description and practical applications of fundamentals of quantum mechanics.

Quantum Communications and Measurement

V.P. Belavkin,Osamu Hirota,R.L. Hudson
Quantum Communications and Measurement Book PDF

Author : V.P. Belavkin,Osamu Hirota,R.L. Hudson
Publisher : Springer Science & Business Media
Page : 510 pages
File Size : 52,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781489913913

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Quantum Communications and Measurement by V.P. Belavkin,Osamu Hirota,R.L. Hudson Pdf

The International Workshop on Quantum Communications and Measurement was held at the University of Nottingham from July 10-16, 1994. It followed the successful meeting on Quantum Aspects of Optical Communications in Paris in November 1990. This time the conference was devoted to mathematical, physical and engineering aspects of quantum noise, signal processing and quantum informa tion in open systems, quantum channels, and optical communications. It brought research workers in the experimental and engineering aspects of quantum optics and communication systems into contact with theoreticians working in quantum probability and measurement theory. The workshop was attended by more than 130 participants from 22 different countries. The largest groups [after the UK (31)] were from Japan (19) and from Russia (14). The subjects discussed included the mathematical foundations of quantum communication systems, experiments and devices, the problem of collapse and continuous measurement, quantum input and output processes, causality and nondemolition observation, squeezed states, quan tum jumps, state diffusion and spontaneous localization, filtering and control in quantum systems, and new quantum optical phenomena and effects, including non classical light. These new mathematical and physical ideas were stimulated by recent advances in generation and detection of light with low quantum noise and the development of techniques for trapping a single atom over an extended period of time, making it possible to observe individual quantum phenomena at the macroscopic level.

Quantum Communication Networks

Riccardo Bassoli,Holger Boche,Christian Deppe,Roberto Ferrara,Frank H. P. Fitzek,Gisbert Janssen,Sajad Saeedinaeeni
Quantum Communication Networks Book PDF

Author : Riccardo Bassoli,Holger Boche,Christian Deppe,Roberto Ferrara,Frank H. P. Fitzek,Gisbert Janssen,Sajad Saeedinaeeni
Publisher : Springer Nature
Page : 239 pages
File Size : 50,5 Mb
Release : 2021-02-03
Category : Technology & Engineering
ISBN : 9783030629380

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Quantum Communication Networks by Riccardo Bassoli,Holger Boche,Christian Deppe,Roberto Ferrara,Frank H. P. Fitzek,Gisbert Janssen,Sajad Saeedinaeeni Pdf

This book provides a tutorial on quantum communication networks. The authors discuss current paradigm shifts in communication networks that are needed to add computing and storage to the simple transport ideas of prevailing networks. They show how these ‘softwarized’ solutions break new grounds to reduce latency and increase resilience. The authors discuss how even though these solutions have inherent problems due to introduced computing latency and energy consumption, the problems can be solved by hybrid classical-quantum communication networks. The book brings together quantum networking, quantum information theory, quantum computing, and quantum simulation.

The Functional Analysis of Quantum Information Theory

Ved Prakash Gupta,Prabha Mandayam,V.S. Sunder
The Functional Analysis of Quantum Information Theory Book PDF

Author : Ved Prakash Gupta,Prabha Mandayam,V.S. Sunder
Publisher : Springer
Page : 139 pages
File Size : 52,6 Mb
Release : 2015-05-28
Category : Science
ISBN : 9783319167183

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The Functional Analysis of Quantum Information Theory by Ved Prakash Gupta,Prabha Mandayam,V.S. Sunder Pdf

This book provides readers with a concise introduction to current studies on operator-algebras and their generalizations, operator spaces and operator systems, with a special focus on their application in quantum information science. This basic framework for the mathematical formulation of quantum information can be traced back to the mathematical work of John von Neumann, one of the pioneers of operator algebras, which forms the underpinning of most current mathematical treatments of the quantum theory, besides being one of the most dynamic areas of twentieth century functional analysis. Today, von Neumann’s foresight finds expression in the rapidly growing field of quantum information theory. These notes gather the content of lectures given by a very distinguished group of mathematicians and quantum information theorists, held at the IMSc in Chennai some years ago, and great care has been taken to present the material as a primer on the subject matter. Starting from the basic definitions of operator spaces and operator systems, this text proceeds to discuss several important theorems including Stinespring’s dilation theorem for completely positive maps and Kirchberg’s theorem on tensor products of C*-algebras. It also takes a closer look at the abstract characterization of operator systems and, motivated by the requirements of different tensor products in quantum information theory, the theory of tensor products in operator systems is discussed in detail. On the quantum information side, the book offers a rigorous treatment of quantifying entanglement in bipartite quantum systems, and moves on to review four different areas in which ideas from the theory of operator systems and operator algebras play a natural role: the issue of zero-error communication over quantum channels, the strong subadditivity property of quantum entropy, the different norms on quantum states and the corresponding induced norms on quantum channels, and, lastly, the applications of matrix-valued random variables in the quantum information setting.

Quantum Information Theory

Joseph Renes
Quantum Information Theory Book PDF

Author : Joseph Renes
Publisher : Walter de Gruyter GmbH & Co KG
Page : 328 pages
File Size : 45,8 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.

A Quantum Leap In Information Theory

Stefano Mancini,Andreas Winter
A Quantum Leap In Information Theory Book PDF

Author : Stefano Mancini,Andreas Winter
Publisher : World Scientific
Page : 246 pages
File Size : 48,8 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.

Quantum Computation and Quantum Information Theory

C Macchiavello,G M Palma,A Zeilinger
Quantum Computation and Quantum Information Theory Book PDF

Author : C Macchiavello,G M Palma,A Zeilinger
Publisher : World Scientific
Page : 532 pages
File Size : 52,5 Mb
Release : 2001-01-17
Category : Science
ISBN : 9789814494052

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Quantum Computation and Quantum Information Theory by C Macchiavello,G M Palma,A Zeilinger Pdf

Quantum information theory has revolutionised our view on the true nature of information and has led to such intriguing topics as teleportation and quantum computation. The field — by its very nature strongly interdisciplinary, with deep roots in the foundations both of quantum mechanics and of information theory and computer science — has become a major subject for scientists working in fields as diverse as quantum optics, superconductivity or information theory, all the way to computer engineers. The aim of this book is to provide guidance and introduce the broad literature in all the various aspects of quantum information theory. The topics covered range from the fundamental aspects of the theory, like quantum algorithms and quantum complexity, to the technological aspects of the design of quantum-information-processing devices. Each section of the book consists of a selection of key papers (with particular attention to their tutorial value), chosen and introduced by leading scientists in the specific area. An entirely new introduction to quantum complexity has been specially written for the book. Contents:Introductory ConceptsQuantum Entanglement ManipulationQuantum AlgorithmsQuantum ComplexityQuantum Error CorrectionQuantum ChannelsEntanglement Purification and Long-Distance Quantum CommunicationQuantum Key DistributionCavity Quantum ElectrodynamicsQuantum Computation with Ion TrapsJosephson Junctions and Quantum ComputationQuantum Computing in Optical LatticesQuantum Computation and Quantum Communication with ElectronsNMR Quantum Computing Readership: Physicists. Keywords:Quantum Computation;Quantum Information Theory;Quantum Cryptography;Quantum Error Correction;Quantum Complexity;Quantum Algorithms;Quantum Gates;Foundation of Quantum Mechanics;Quantum Theory;Quantum Channels;Quantum Mechanics

Trends in Quantum Physics

Frank H. Columbus
Trends in Quantum Physics Book PDF

Author : Frank H. Columbus
Publisher : Nova Publishers
Page : 232 pages
File Size : 49,7 Mb
Release : 2004
Category : Science
ISBN : 1594540004

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Trends in Quantum Physics by Frank H. Columbus Pdf

Although the various branches of physics differ in their experimental methods and theoretical approaches, certain general principles apply to all of them. The forefront of contemporary advances in physics lies in the submicroscopic regime, whether it be in atomic, nuclear, condensed-matter, plasma, or particle physics, or in quantum optics, or even in the study of stellar structure. All are based upon quantum theory (i.e., quantum mechanics and quantum field theory) and relativity, which together form the theoretical foundations of modern physics. Many physical quantities whose classical counterparts vary continuously over a range of possible values are in quantum theory constrained to have discontinuous, or discrete, values. The intrinsically deterministic character of classical physics is replaced in quantum theory by intrinsic uncertainty. According to quantum theory, electromagnetic radiation does not always consist of continuous waves; instead it must be viewed under some circumstances as a collection of particle-like photons, the energy and momentum of each being directly proportional to its frequency (or inversely proportional to its wavelength, the photons still possessing some wavelike characteristics). This new book presents state of art research from around the world.