Explorations in Quantum Computing

Author: Colin P. Williams

Publisher: Springer Science & Business Media

ISBN: 9781846288876

Category: Computers

Page: 717

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By the year 2020, the basic memory components of a computer will be the size of individual atoms. At such scales, the current theory of computation will become invalid. "Quantum computing" is reinventing the foundations of computer science and information theory in a way that is consistent with quantum physics - the most accurate model of reality currently known. Remarkably, this theory predicts that quantum computers can perform certain tasks breathtakingly faster than classical computers – and, better yet, can accomplish mind-boggling feats such as teleporting information, breaking supposedly "unbreakable" codes, generating true random numbers, and communicating with messages that betray the presence of eavesdropping. This widely anticipated second edition of Explorations in Quantum Computing explains these burgeoning developments in simple terms, and describes the key technological hurdles that must be overcome to make quantum computers a reality. This easy-to-read, time-tested, and comprehensive textbook provides a fresh perspective on the capabilities of quantum computers, and supplies readers with the tools necessary to make their own foray into this exciting field. Topics and features: concludes each chapter with exercises and a summary of the material covered; provides an introduction to the basic mathematical formalism of quantum computing, and the quantum effects that can be harnessed for non-classical computation; discusses the concepts of quantum gates, entangling power, quantum circuits, quantum Fourier, wavelet, and cosine transforms, and quantum universality, computability, and complexity; examines the potential applications of quantum computers in areas such as search, code-breaking, solving NP-Complete problems, quantum simulation, quantum chemistry, and mathematics; investigates the uses of quantum information, including quantum teleportation, superdense coding, quantum data compression, quantum cloning, quantum negation, and quantum cryptography; reviews the advancements made towards practical quantum computers, covering developments in quantum error correction and avoidance, and alternative models of quantum computation. This text/reference is ideal for anyone wishing to learn more about this incredible, perhaps "ultimate," computer revolution. Dr. Colin P. Williams is Program Manager for Advanced Computing Paradigms at the NASA Jet Propulsion Laboratory, California Institute of Technology, and CEO of Xtreme Energetics, Inc. an advanced solar energy company. Dr. Williams has taught quantum computing and quantum information theory as an acting Associate Professor of Computer Science at Stanford University. He has spent over a decade inspiring and leading high technology teams and building business relationships with and Silicon Valley companies. Today his interests include terrestrial and Space-based power generation, quantum computing, cognitive computing, computational material design, visualization, artificial intelligence, evolutionary computing, and remote olfaction. He was formerly a Research Scientist at Xerox PARC and a Research Assistant to Prof. Stephen W. Hawking, Cambridge University.

Quantum Computing and Quantum Communications

First NASA International Conference, QCQC '98, Palm Springs, California, USA, February 17-20, 1998, Selected Papers

Author: Colin P. Williams

Publisher: Springer

ISBN: 3540492089

Category: Computers

Page: 480

View: 4462

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This book contains selected papers presented at the First NASA International Conference on Quantum Computing and Quantum Communications, QCQC'98, held in Palm Springs, California, USA in February 1998. As the record of the first large-scale meeting entirely devoted to quantum computing and communications, this book is a unique survey of the state-of-the-art in the area. The 43 carefully reviewed papers are organized in topical sections on entanglement and quantum algorithms, quantum cryptography, quantum copying and quantum information theory, quantum error correction and fault-tolerant quantum computing, and embodiments of quantum computers.

Quantum Computing

Author: Mika Hirvensalo

Publisher: Springer Science & Business Media

ISBN: 3662044617

Category: Computers

Page: 191

View: 4936

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Mika Hirvensalo maps out the new multidisciplinary research area of quantum computing. The text contains an introduction to quantum computing as well as the most important recent results on the topic. The presentation is uniform and computer science-oriented. Thus, the book differs from most of the previous ones which are mainly physics-oriented. The special style of presentation makes the theory of quantum computing accessible to a larger audience. Many examples and exercises ease the understanding. In this second edition, a new chapter on quantum information has been added and numerous corrections, amendments, and extensions have been incorporated throughout the entire text.

Quantum Computational Number Theory

Author: Song Y. Yan

Publisher: Springer

ISBN: 3319258230

Category: Computers

Page: 252

View: 2042

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This book provides a comprehensive introduction to advanced topics in the computational and algorithmic aspects of number theory, focusing on applications in cryptography. Readers will learn to develop fast algorithms, including quantum algorithms, to solve various classic and modern number theoretic problems. Key problems include prime number generation, primality testing, integer factorization, discrete logarithms, elliptic curve arithmetic, conjecture and numerical verification. The author discusses quantum algorithms for solving the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP), and the Elliptic Curve Discrete Logarithm Problem (ECDLP) and for attacking IFP, DLP and ECDLP based cryptographic systems. Chapters also cover various other quantum algorithms for Pell's equation, principal ideal, unit group, class group, Gauss sums, prime counting function, Riemann's hypothesis and the BSD conjecture. Quantum Computational Number Theory is self-contained and intended to be used either as a graduate text in computing, communications and mathematics, or as a basic reference in the related fields. Number theorists, cryptographers and professionals working in quantum computing, cryptography and network security will find this book a valuable asset.

Quantenmechanik für Fortgeschrittene

QM II

Author: Franz Schwabl

Publisher: Springer-Verlag

ISBN: 3662096307

Category: Science

Page: 419

View: 5567

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Aufbauend auf der Quantenmechanik desselben Autors werden hier fortgeschrittene Themen behandelt: I Vielteilchensysteme, II Relativistische Wellengleichungen, III Relativistische Felder. Die in gewohnter Weise stringente mathematische Darstellung wird durch die Angabe aller Zwischenschritte, durch zahlreiche Anwendungsbeispiele im Text und Übungen ergänzt. Der Text legt insbesondere durch Darstellung der relativistischen Wellengleichungen und ihrer Symmetrieeigenschaften sowie der quantenfeldtheoretischen Grundlagen das Fundament für das weitere Studium von Festkörperphysik, Kern- und Elementarteilchenphysik.

Quantenrealität

Jenseits der Neuen Physik

Author: HERBERT

Publisher: Springer-Verlag

ISBN: 303486681X

Category: Juvenile Nonfiction

Page: 342

View: 8637

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Statistical Methods in Quantum Optics 2

Non-Classical Fields

Author: Howard J. Carmichael

Publisher: Springer Science & Business Media

ISBN: 3540713204

Category: Science

Page: 542

View: 5185

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This second volume of Howard Carmichael’s work continues the development of the methods used in quantum optics to treat open quantum systems and their fluctuations. Its early chapters build upon the phase-space methods introduced in Volume 1. Written on a level suitable for debut researchers or students in an advanced course in quantum optics, or a course in quantum mechanics or statistical physics that deals with open quantum systems.

Advances in Computer Vision and Information Technology

Author: K. V. Kale

Publisher: I. K. International Pvt Ltd

ISBN: 8189866745

Category: Computer vision

Page: 1688

View: 6185

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The latest trends in Information Technology represent a new intellectual paradigm for scientific exploration and visualization of scientific phenomena. The present treatise covers almost all the emerging technologies in the field. Academicians, engineers, industralists, scientists and researchers engaged in teaching, research and development of Computer Science and Information Technology will find the book useful for their future academic and research work. The present treatise comprising 225 articles broadly covers the following topics exhaustively. 01. Advance Networking and Security/Wireless Networking/Cyber Laws 02. Advance Software Computing 03. Artificial Intelligence/Natural Language Processing/ Neural Networks 04. Bioinformatics/Biometrics 05. Data Mining/E-Commerce/E-Learning 06. Image Processing, Content Based Image Retrieval, Medical and Bio-Medical Imaging, Wavelets 07. Information Processing/Audio and Text Processing/Cryptology, Steganography and Digital Watermarking 08. Pattern Recognition/Machine Vision/Image Motion, Video Processing 09. Signal Processing and Communication/Remote Sensing 10. Speech Processing & Recognition, Human Computer Interaction 11. Information and Communication Technology

Quantenphysik für Dummies

Author: Steven Holzner

Publisher: John Wiley & Sons

ISBN: 3527668004

Category: Science

Page: 316

View: 3632

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Von den Grundlagen bis zur Streutheorie – das Wichtigste zur Quantenmechanik Die Quantenphysik ist ein zentrales und spannendes, wenn auch von vielen Schülern und Studenten ungeliebtes Thema der Physik. Aber keine Sorge! Steven Holzner erklärt Ihnen verständlich und lebendig, was Sie über Quantenphysik wissen müssen. Er erläutert die Grundlagen von Drehimpuls und Spin, gibt Ihnen Tipps, wie Sie komplexe Gleichungen lösen und nimmt den klassischen Problemen der Quantenphysik den Schrecken. Dabei arbeitet er mit Beispielen, die er ausführlich erklärt und gibt Ihnen so zusätzliche Sicherheit auf einem vor Unschärfen wimmelnden Feld.

Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektren

Author: Eugene Paul Wigner

Publisher: Springer-Verlag

ISBN: 3663025551

Category: Mathematics

Page: 332

View: 4978

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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Die Ordnung der Zeit

Author: Carlo Rovelli

Publisher: Rowohlt Verlag GmbH

ISBN: 3644000751

Category: Science

Page: 192

View: 4828

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Leben wir in der Zeit oder lebt die Zeit vielleicht nur in uns? Alle theoretischen Physiker von Weltrang, die den großen und kleinen Kräften des Universums nachspüren, beschäftigen sich immer wieder mit der entscheidenden Frage, was Zeit ist. Wenn ihre großen Modelle die Zeit zur Erklärung des Elementaren nicht mehr brauchen, wie kommt es dann, dass sie für unser Leben so wichtig ist? Geht es wirklich ohne sie? Carlo Rovelli gibt in diesem Buch überraschende Antworten. Er nimmt uns mit auf eine Reise durch unsere Vorstellungen der von der Zeit und spürt ihren Regeln und Rätseln nach. Ein großes, packend geschriebenes Lese-Abenteuer, ein würdiger Nachfolger des Welt-Bestsellers "Sieben kurze Lektionen über Physik".

Quantum dynamics

applications in biological and materials systems

Author: Eric R. Bittner

Publisher: CRC

ISBN: 9781420080537

Category: Science

Page: 322

View: 367

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Even though time-dependent spectroscopic techniques continue to push the frontier of chemical physics, they receive scant mention in introductory courses as they are poorly covered in standard texts. This text bridges the gap between what is traditionally taught in a one-semester quantum chemistry course and the modern field of chemical dynamics. It provides needed background in quantum mechanics and then discusses theory and a number of applications that are of current interest, from molecular electronics to photosynthesis. Written in a pedagogic style, it details needed computational components and sample calculations using Mathematica.