Quantum Information Processing With Finite Resources

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Quantum Information Processing with Finite Resources

Author : Marco Tomamichel
Publisher : Springer
ISBN 13 : 3319218913
Total Pages : 138 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Quantum Information Processing with Finite Resources by : Marco Tomamichel

Download or read book Quantum Information Processing with Finite Resources written by Marco Tomamichel and published by Springer. This book was released on 2015-10-14 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Device-Independent Quantum Information Processing

Author : Rotem Arnon-Friedman
Publisher : Springer Nature
ISBN 13 : 3030602311
Total Pages : 217 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Device-Independent Quantum Information Processing by : Rotem Arnon-Friedman

Download or read book Device-Independent Quantum Information Processing written by Rotem Arnon-Friedman and published by Springer Nature. This book was released on 2020-10-31 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Device-independent quantum cryptography is a method for exchanging secret messages over potentially insecure quantum communication channels, such as optical fibers. In contrast to conventional quantum cryptography, security is guaranteed even if the devices used by the communication partners, such as photon sources and detectors, deviate from their theoretical specifications. This is of high practical relevance, for attacks to current implementations of quantum cryptography exploit exactly such deviations. Device-independent cryptography is however technologically so demanding that it looked as if experimental realizations are out of reach. In her thesis, Rotem Arnon-Friedman presents powerful information-theoretic methods to prove the security of device-independent quantum cryptography. Based on them, she is able to establish security in a parameter regime that may be experimentally achievable in the near future. Rotem Arnon-Friedman's thesis thus provides the theoretical foundations for an experimental demonstration of device-independent quantum cryptography.

Quantum Information Processing

Author : Thomas Beth
Publisher : John Wiley & Sons
ISBN 13 : 3527606084
Total Pages : 471 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Quantum Information Processing by : Thomas Beth

Download or read book Quantum Information Processing written by Thomas Beth and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum processing and communication is emerging as a challenging technique at the beginning of the new millennium. This is an up-to-date insight into the current research of quantum superposition, entanglement, and the quantum measurement process - the key ingredients of quantum information processing. The authors further address quantum protocols and algorithms. Complementary to similar programmes in other countries and at the European level, the German Research Foundation (DFG) realized a focused research program on quantum information. The contributions - written by leading experts - bring together the latest results in quantum information as well as addressing all the relevant questions.

Quantum Information Theory

Author : Mark M. Wilde
Publisher : Cambridge University Press
ISBN 13 : 1316813304
Total Pages : 1020 pages
Book Rating : 4.3/5 (168 download)

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Book Synopsis Quantum Information Theory by : Mark M. Wilde

Download or read book Quantum Information Theory written by Mark M. Wilde and published by Cambridge University Press. This book was released on 2017-02-06 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Information Theory

Author : Mark Wilde
Publisher : Cambridge University Press
ISBN 13 : 1107034256
Total Pages : 673 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Quantum Information Theory by : Mark Wilde

Download or read book Quantum Information Theory written by Mark Wilde and published by Cambridge University Press. This book was released on 2013-04-18 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

Thermodynamics in the Quantum Regime

Author : Felix Binder
Publisher : Springer
ISBN 13 : 3319990462
Total Pages : 998 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Thermodynamics in the Quantum Regime by : Felix Binder

Download or read book Thermodynamics in the Quantum Regime written by Felix Binder and published by Springer. This book was released on 2019-04-01 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Thermodynamics is a novel research field which explores the emergence of thermodynamics from quantum theory and addresses thermodynamic phenomena which appear in finite-size, non-equilibrium and finite-time contexts. Blending together elements from open quantum systems, statistical mechanics, quantum many-body physics, and quantum information theory, it pinpoints thermodynamic advantages and barriers emerging from genuinely quantum properties such as quantum coherence and correlations. Owing to recent experimental efforts, the field is moving quickly towards practical applications, such as nano-scale heat devices, or thermodynamically optimised protocols for emergent quantum technologies. Starting from the basics, the present volume reviews some of the most recent developments, as well as some of the most important open problems in quantum thermodynamics. The self-contained chapters provide concise and topical introductions to researchers who are new to the field. Experts will find them useful as a reference for the current state-of-the-art. In six sections the book covers topics such as quantum heat engines and refrigerators, fluctuation theorems, the emergence of thermodynamic equilibrium, thermodynamics of strongly coupled systems, as well as various information theoretic approaches including Landauer's principle and thermal operations. It concludes with a section dedicated to recent quantum thermodynamics experiments and experimental prospects on a variety of platforms ranging from cold atoms to photonic systems, and NV centres.

The Theory of Quantum Information

Author : John Watrous
Publisher :
ISBN 13 : 1107180562
Total Pages : 599 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis The Theory of Quantum Information by : John Watrous

Download or read book The Theory of Quantum Information written by John Watrous and published by . This book was released on 2018-04-26 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.

Approximate Quantum Markov Chains

Author : David Sutter
Publisher : Springer
ISBN 13 : 3319787322
Total Pages : 118 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Approximate Quantum Markov Chains by : David Sutter

Download or read book Approximate Quantum Markov Chains written by David Sutter and published by Springer. This book was released on 2018-04-20 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem. To achieve this goal, we strengthen the data-processing inequality such that it reveals a statement about the reconstruction of lost information. The main difficulty in order to understand the behavior of quantum Markov chains arises from the fact that quantum mechanical operators do not commute in general. As a result we start by explaining two techniques of how to deal with non-commuting matrices: the spectral pinching method and complex interpolation theory. Once the reader is familiar with these techniques a novel inequality is presented that extends the celebrated Golden-Thompson inequality to arbitrarily many matrices. This inequality is the key ingredient in understanding approximate quantum Markov chains and it answers a question from matrix analysis that was open since 1973, i.e., if Lieb's triple matrix inequality can be extended to more than three matrices. Finally, we carefully discuss the properties of approximate quantum Markov chains and their implications. The book is aimed to graduate students who want to learn about approximate quantum Markov chains as well as more experienced scientists who want to enter this field. Mathematical majority is necessary, but no prior knowledge of quantum mechanics is required.

Reality and Measurement in Algebraic Quantum Theory

Author : Masanao Ozawa
Publisher : Springer
ISBN 13 : 9811324875
Total Pages : 396 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Reality and Measurement in Algebraic Quantum Theory by : Masanao Ozawa

Download or read book Reality and Measurement in Algebraic Quantum Theory written by Masanao Ozawa and published by Springer. This book was released on 2018-11-02 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers based on presentations at the “Nagoya Winter Workshop 2015: Reality and Measurement in Algebraic Quantum Theory (NWW 2015)”, held in Nagoya, Japan, in March 2015. The foundations of quantum theory have been a source of mysteries, puzzles, and confusions, and have encouraged innovations in mathematical languages to describe, analyze, and delineate this wonderland. Both ontological and epistemological questions about quantum reality and measurement have been placed in the center of the mysteries explored originally by Bohr, Heisenberg, Einstein, and Schrödinger. This volume describes how those traditional problems are nowadays explored from the most advanced perspectives. It includes new research results in quantum information theory, quantum measurement theory, information thermodynamics, operator algebraic and category theoretical foundations of quantum theory, and the interplay between experimental and theoretical investigations on the uncertainty principle. This book is suitable for a broad audience of mathematicians, theoretical and experimental physicists, and philosophers of science.

Advances in Intelligent Information Hiding and Multimedia Signal Processing

Author : Jeng-Shyang Pan
Publisher : Springer
ISBN 13 : 3319502123
Total Pages : 380 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Advances in Intelligent Information Hiding and Multimedia Signal Processing by : Jeng-Shyang Pan

Download or read book Advances in Intelligent Information Hiding and Multimedia Signal Processing written by Jeng-Shyang Pan and published by Springer. This book was released on 2016-11-21 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Smart Innovation, Systems and Technologies contains accepted papers presented in IIH-MSP-2016, the 12th International Conference on Intelligent Information Hiding and Multimedia Signal Processing. The conference this year was technically co-sponsored by Tainan Chapter of IEEE Signal Processing Society, Fujian University of Technology, Chaoyang University of Technology, Taiwan Association for Web Intelligence Consortium, Fujian Provincial Key Laboratory of Big Data Mining and Applications (Fujian University of Technology), and Harbin Institute of Technology Shenzhen Graduate School. IIH-MSP 2016 is held in 21-23, November, 2016 in Kaohsiung, Taiwan. The conference is an international forum for the researchers and professionals in all areas of information hiding and multimedia signal processing.

Quantum Cryptography

Author : Federico Grasselli
Publisher : Springer Nature
ISBN 13 : 3030643603
Total Pages : 163 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Quantum Cryptography by : Federico Grasselli

Download or read book Quantum Cryptography written by Federico Grasselli and published by Springer Nature. This book was released on 2021-01-04 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rising concerns about the security of our data have made quantum cryptography a very active research field in recent years. Quantum cryptographic protocols promise everlasting security by exploiting distinctive quantum properties of nature. The most extensively implemented protocol is quantum key distribution (QKD), which enables secure communication between two users. The aim of this book is to introduce the reader to state-of-the-art QKD and illustrate its recent multi-user generalization: quantum conference key agreement. With its pedagogical approach that doesn’t disdain going into details, the book enables the reader to join in cutting-edge research on quantum cryptography.

Quantum Information Processing with Diamond

Author : Steven Prawer
Publisher : Elsevier
ISBN 13 : 0857096680
Total Pages : 345 pages
Book Rating : 4.8/5 (57 download)

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Book Synopsis Quantum Information Processing with Diamond by : Steven Prawer

Download or read book Quantum Information Processing with Diamond written by Steven Prawer and published by Elsevier. This book was released on 2014-05-12 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diamond nitrogen vacancy (NV) color centers can transform quantum information science into practical quantum information technology, including fast, safe computing. Quantum Information Processing with Diamond looks at the principles of quantum information science, diamond materials, and their applications. Part one provides an introduction to quantum information processing using diamond, as well as its principles and fabrication techniques. Part two outlines experimental demonstrations of quantum information processing using diamond, and the emerging applications of diamond for quantum information science. It contains chapters on quantum key distribution, quantum microscopy, the hybridization of quantum systems, and building quantum optical devices. Part three outlines promising directions and future trends in diamond technologies for quantum information processing and sensing. Quantum Information Processing with Diamond is a key reference for R&D managers in industrial sectors such as conventional electronics, communication engineering, computer science, biotechnology, quantum optics, quantum mechanics, quantum computing, quantum cryptology, and nanotechnology, as well as academics in physics, chemistry, biology, and engineering. Brings together the topics of diamond and quantum information processing Looks at applications such as quantum computing, neural circuits, and in vivo monitoring of processes at the molecular scale

Quantitative Portfolio Management

Author : Michael Isichenko
Publisher : John Wiley & Sons
ISBN 13 : 1119821215
Total Pages : 306 pages
Book Rating : 4.1/5 (198 download)

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Book Synopsis Quantitative Portfolio Management by : Michael Isichenko

Download or read book Quantitative Portfolio Management written by Michael Isichenko and published by John Wiley & Sons. This book was released on 2021-09-10 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover foundational and advanced techniques in quantitative equity trading from a veteran insider In Quantitative Portfolio Management: The Art and Science of Statistical Arbitrage, distinguished physicist-turned-quant Dr. Michael Isichenko delivers a systematic review of the quantitative trading of equities, or statistical arbitrage. The book teaches you how to source financial data, learn patterns of asset returns from historical data, generate and combine multiple forecasts, manage risk, build a stock portfolio optimized for risk and trading costs, and execute trades. In this important book, you’ll discover: Machine learning methods of forecasting stock returns in efficient financial markets How to combine multiple forecasts into a single model by using secondary machine learning, dimensionality reduction, and other methods Ways of avoiding the pitfalls of overfitting and the curse of dimensionality, including topics of active research such as “benign overfitting” in machine learning The theoretical and practical aspects of portfolio construction, including multi-factor risk models, multi-period trading costs, and optimal leverage Perfect for investment professionals, like quantitative traders and portfolio managers, Quantitative Portfolio Management will also earn a place in the libraries of data scientists and students in a variety of statistical and quantitative disciplines. It is an indispensable guide for anyone who hopes to improve their understanding of how to apply data science, machine learning, and optimization to the stock market.

Cyber-Physical Systems: Industry 4.0 Challenges

Author : Alla G. Kravets
Publisher : Springer Nature
ISBN 13 : 3030326489
Total Pages : 340 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Cyber-Physical Systems: Industry 4.0 Challenges by : Alla G. Kravets

Download or read book Cyber-Physical Systems: Industry 4.0 Challenges written by Alla G. Kravets and published by Springer Nature. This book was released on 2019-11-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new findings in industrial cyber-physical system design and control for various domains, as well as their social and economic impacts on society. Industry 4.0 requires new approaches in the context of secure connections, control, and maintenance of cyber-physical systems as well as enhancing their interaction with humans. The book focuses on open issues of cyber-physical system control and its usage, discussing implemented breakthrough systems, models, programs, and methods that could be used in industrial processes for the control, condition assessment, diagnostics, prognostication, and proactive maintenance of cyber-physical systems. Further, it addresses the topic of ensuring the cybersecurity of industrial cyber-physical systems and proposes new, reliable solutions. The authors also examine the impact of university courses on the performance of industrial complexes, and the organization of education for the development of cyber-physical systems. The book is intended for practitioners, enterprise representatives, scientists, students, and Ph.D. and master’s students conducting research in the area of cyber-physical system development and implementation in various domains.

Noncommutative Geometry and Optimal Transport

Author : Pierre Martinetti
Publisher : American Mathematical Soc.
ISBN 13 : 1470422972
Total Pages : 223 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Noncommutative Geometry and Optimal Transport by : Pierre Martinetti

Download or read book Noncommutative Geometry and Optimal Transport written by Pierre Martinetti and published by American Mathematical Soc.. This book was released on 2016-10-26 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The distance formula in noncommutative geometry was introduced by Connes at the end of the 1980s. It is a generalization of Riemannian geodesic distance that makes sense in a noncommutative setting, and provides an original tool to study the geometry of the space of states on an algebra. It also has an intriguing echo in physics, for it yields a metric interpretation for the Higgs field. In the 1990s, Rieffel noticed that this distance is a noncommutative version of the Wasserstein distance of order 1 in the theory of optimal transport. More exactly, this is a noncommutative generalization of Kantorovich dual formula of the Wasserstein distance. Connes distance thus offers an unexpected connection between an ancient mathematical problem and the most recent discovery in high energy physics. The meaning of this connection is far from clear. Yet, Rieffel's observation suggests that Connes distance may provide an interesting starting point for a theory of optimal transport in noncommutative geometry. This volume contains several review papers that will give the reader an extensive introduction to the metric aspect of noncommutative geometry and its possible interpretation as a Wasserstein distance on a quantum space, as well as several topic papers.

Quantum Information Processing

Author : János A. Bergou
Publisher : Springer Nature
ISBN 13 : 3030754367
Total Pages : 310 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Quantum Information Processing by : János A. Bergou

Download or read book Quantum Information Processing written by János A. Bergou and published by Springer Nature. This book was released on 2021-09-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Teleportation and Entanglement

Author : Akira Furusawa
Publisher : John Wiley & Sons
ISBN 13 : 3527635297
Total Pages : 335 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Quantum Teleportation and Entanglement by : Akira Furusawa

Download or read book Quantum Teleportation and Entanglement written by Akira Furusawa and published by John Wiley & Sons. This book was released on 2011-05-03 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in that it is jointly written by an experimentalist and a theorist, this monograph presents universal quantum computation based on quantum teleportation as an elementary subroutine and multi-party entanglement as a universal resource. Optical approaches to measurement-based quantum computation are also described, including schemes for quantum error correction, with most of the experiments carried out by the authors themselves. Ranging from the theoretical background to the details of the experimental realization, the book describes results and advances in the field, backed by numerous illustrations of the authors' experimental setups. Aimed at researchers, physicists, and graduate and PhD students in physics, theoretical quantum optics, quantum mechanics, and quantum information.