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Quantum Walks And Search Algorithms

Author: Renato Portugal
Publisher: Springer
ISBN: 3319978136
Size: 56.45 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.

Quantum Algorithms Via Linear Algebra

Author: Richard J. Lipton
Publisher: MIT Press
ISBN: 0262028395
Size: 10.50 MB
Format: PDF, Kindle
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Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background in physics.

Physical Implementation Of Quantum Walks

Author: Kia Manouchehri
Publisher: Springer Science & Business Media
ISBN: 3642360149
Size: 14.10 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.

Physical Implementation Of Quantum Walks

Author: Kia Manouchehri
Publisher: Springer Science & Business Media
ISBN: 3642360149
Size: 51.28 MB
Format: PDF, Kindle
View: 2708
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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.

Foundations Of Quantum Programming

Author: Mingsheng Ying
Publisher: Morgan Kaufmann
ISBN: 0128025468
Size: 25.74 MB
Format: PDF, Docs
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Foundations of Quantum Programming discusses how new programming methodologies and technologies developed for current computers can be extended to exploit the unique power of quantum computers, which promise dramatic advantages in processing speed over currently available computer systems. Governments and industries around the globe are now investing vast amounts of money with the expectation of building practical quantum computers. Drawing upon years of experience and research in quantum computing research and using numerous examples and illustrations, Mingsheng Ying has created a very useful reference on quantum programming languages and important tools and techniques required for quantum programming, making the book a valuable resource for academics, researchers, and developers. Demystifies the theory of quantum programming using a step-by-step approach Covers the interdisciplinary nature of quantum programming by providing examples from many different fields including, engineering, computer science, medicine, and life sciences Includes techniques and tools to solve complex control flow patterns and synchronize computations Presents a coherent and self-contained treatment that will be valuable for academics and industrial researchers and developers

Quantum Walks For Computer Scientists

Author: Salvador Elías Venegas-Andraca
Publisher: Morgan & Claypool Publishers
ISBN: 1598296566
Size: 43.22 MB
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"Quantum computation, one of the latest joint ventures between physics and the theory of computation, is a scientific field whose main goals include the development of hardware and algorithms based on the quantum mechanical properties of those physical systems used to implement such algorithms." "Solving difficult tasks (for example, the Satisfiability Problem and other NP-complete problems) requires the development of sophisticated algorithms, many of which employ stochastic processes as their mathematical basis. Discrete random walks are a popular choice among those stochastic processes." "Inspired on the success of discrete random walks in algorithm development, quantum walks, an emerging field of quantum computation, is a generalization of random walks into the quantum mechanical world." "The purpose of this lecture is to provide a concise yet comprehensive introduction to quantum walks."--BOOK JACKET.

Introduction To Quantum Information Science

Author: Vlatko Vedral
Publisher: Oxford University Press on Demand
ISBN: 0199215707
Size: 77.22 MB
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In addition to treating quantum communication, entanglement and algorithms, this book also addresses a number of miscellaneous topics, such as Maxwell's demon, Landauer's erasure, the Bekenstein bound and Caratheodory's treatment of the Second law of thermodyanmics.

Quantum Computer Science

Author: N. David Mermin
Publisher: Cambridge University Press
ISBN: 9781139466806
Size: 39.89 MB
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In the 1990's it was realized that quantum physics has some spectacular applications in computer science. This book is a concise introduction to quantum computation, developing the basic elements of this new branch of computational theory without assuming any background in physics. It begins with an introduction to the quantum theory from a computer-science perspective. It illustrates the quantum-computational approach with several elementary examples of quantum speed-up, before moving to the major applications: Shor's factoring algorithm, Grover's search algorithm, and quantum error correction. The book is intended primarily for computer scientists who know nothing about quantum theory, but will also be of interest to physicists who want to learn the theory of quantum computation, and philosophers of science interested in quantum foundational issues. It evolved during six years of teaching the subject to undergraduates and graduate students in computer science, mathematics, engineering, and physics, at Cornell University.

Supervised Learning With Quantum Computers

Author: Maria Schuld
Publisher: Springer
ISBN: 9783319964232
Size: 63.56 MB
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This book investigates how quantum computers can be used for data-driven prediction. It summarizes and conceptualizes ideas that have been proposed in the discipline of quantum machine learning to provide a starting point for those new to the field, while serving as a reference for readers familiar with the topic. Given the interdisciplinary nature of the subject, the first chapters work through a simple but illustrative quantum machine learning algorithm and give a detailed overview of the parent disciplines. The book then presents core methods for the design of quantum machine learning algorithms with a focus on supervised learning. Amongst these methods are the representation of data by quantum states, quantum routines for inference and training, learning with quantum models, as well as near-term applications. The book contributes to research in quantum machine learning and targets an interdisciplinary audience of computer scientists and physicists from a graduate level onwards.

Explorations In Quantum Computing

Author: Colin P. Williams
Publisher: Springer Science & Business Media
ISBN: 9781846288876
Size: 65.34 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.