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Quantum Walks And Search Algorithms

Author: Renato Portugal
Publisher: Springer
ISBN: 3319978136
Size: 20.64 MB
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The revised edition of this book offers an extended overview of quantum walks and explains their role in building quantum algorithms, in particular search algorithms.Updated throughout, the book focuses on core topics including Grover's algorithm and the most important quantum walk models, such as the coined, continuous-time, and Szedgedy's quantum walk models. There is a new chapter describing the staggered quantum walk model. The chapter on spatial search algorithms has been rewritten to offer a more comprehensive approach and a new chapter describing the element distinctness algorithm has been added. There is a new appendix on graph theory highlighting the importance of graph theory to quantum walks.As before, the reader will benefit from the pedagogical elements of the book, which include exercises and references to deepen the reader's understanding, and guidelines for the use of computer programs to simulate the evolution of quantum walks.

Theoretische Physik

Author: Dietrich Stauffer
Publisher: Springer-Verlag
ISBN: 3642971520
Size: 79.76 MB
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In der Reihenfolge Mechanik, Elektrodynamik, Quantenmechanik und Statistische Physik behandelt dieses Lehrbuch in konzentrierter Form den Stoff eines zweisemestrigen Theoriekurses. Dabei verfolgt es das Ziel, die wichtigsten Prüfungsfragen aus der theoretischen Physik zu beantworten und die Zusammenhänge zwischen den Teilgebieten zu verdeutlichen. Trotz der knappen Behandlung fließen neue Forschungsergebnisse immer wieder mit ein und machen zusammen mit zahlreichen, einfachen Computerprogrammen das Buch zu einem höchst anregenden Text für Studenten der Physik in Haupt- oder Nebenfach.

Physical Implementation Of Quantum Walks

Author: Kia Manouchehri
Publisher: Springer Science & Business Media
ISBN: 3642360149
Size: 55.30 MB
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Given the extensive application of random walks in virtually every science related discipline, we may be at the threshold of yet another problem solving paradigm with the advent of quantum walks. Over the past decade, quantum walks have been explored for their non-intuitive dynamics, which may hold the key to radically new quantum algorithms. This growing interest has been paralleled by a flurry of research into how one can implement quantum walks in laboratories. This book presents numerous proposals as well as actual experiments for such a physical realization, underpinned by a wide range of quantum, classical and hybrid technologies.

Computer Science Theory And Applications

Author: Farid M. Ablaev
Publisher: Springer
ISBN: 3642131824
Size: 31.97 MB
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Annotation This book constitutes the proceedings of the 5th International Computer Science Symposium in Russia, CSR 2010, held in Kazan, Russia, in June 2010. The 30 papers presented were carefully reviewed and selected from 62 submissions. The scope of topics of the symposium was quite broad and covered basically all areas of the foundations of theoretical computer science.

Quantum Algorithms Via Linear Algebra

Author: Richard J. Lipton
Publisher: MIT Press
ISBN: 0262028395
Size: 28.85 MB
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Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background in physics.

Explorations In Quantum Computing

Author: Colin P. Williams
Publisher: Springer Science & Business Media
ISBN: 9781846288876
Size: 58.58 MB
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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.

Theory Of Quantum Computation Communication And Cryptography

Author: Kazuo Iwama
Publisher: Springer
ISBN: 3642356567
Size: 43.77 MB
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This book constitutes revised selected papers from the 7th Conference on Theory of Quantum Computation, Communication, and Cryptography, TQC 2012, held in Tokyo, Japan, in May 2012. The 12 papers presented were carefully reviewed and selected for inclusion in this book. They contain original research on the rapidly growing, interdisciplinary field of quantum computation, communication and cryptography. Topics addressed are such as quantum algorithms, quantum computation models, quantum complexity theory, simulation of quantum systems, quantum programming languages, quantum cryptography, quantum communication, quantum estimation, quantum measurement, quantum tomography, completely positive maps, decoherence, quantum noise, quantum coding theory, fault-tolerant quantum computing, entanglement theory, and quantum teleportation.

Focs 2004

ISBN: 9780769522289
Size: 62.88 MB
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The proceedings covers computational complexity, cryptography, parallel and distributed computing, machine learning, logic, coding theory, theoretical databases, information technology, networks, quantum computing, and much more.


Author: Klaus Hentschel
Publisher: Springer-Verlag
ISBN: 3662552736
Size: 40.71 MB
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Dieses Buch beschäftigt sich mit der Entstehungsgeschichte des komplexen Konzeptes des Photons aus wissenschaftshistorischer, kognitionspsychologischer und naturwissenschaftlicher Sicht. Dabei werden unter anderem sechs verschiedene mentale Modelle des Lichtquantums bzw. Photons diskutiert und der Bogen vom Teilchenmodell Newtons, dem Singularitätsmodell Einstein und Bohrs bis zum modernen Konzept der Quantisierung des elektromagnetischen Feldes in der Quantenelektrodynamik gespannt. Der Autor beschäftigt sich zuerst mit der Entwicklungsgeschichte des Photons innerhalb der modernen Physik ab 1900, bevor er die zwölf semantischen Bedeutungsschichten des Photons ausgehend vom Anfang des 20. Jahrhunderts präsentiert. Anschließend werden die mentalen Modelle im Laufe der Geschichte bis zur Moderne beschrieben und diskutiert und das heutige Modell des Photons besprochen. Das Buch richtet sich sowohl an Naturwissenschaftler mit physikalischem Hintergrund als auch an Wissenscha ftshistoriker und Andere, die sich mit der Begriffs- und Ideengeschichte von Konzepten auseinandersetzen.