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Quantum Walks For Computer Scientists
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Book Synopsis Quantum Walks for Computer Scientists by : Salvador Venegas-Andraca
Download or read book Quantum Walks for Computer Scientists written by Salvador Venegas-Andraca and published by Springer Nature. This book was released on 2022-05-31 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ofwhich 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. Table of Contents: Introduction / Quantum Mechanics / Theory of Computation / Classical Random Walks / Quantum Walks / Computer Science and Quantum Walks / Conclusions
Book Synopsis Quantum Walks for Computer Scientists by : Salvador Elías Venegas-Andraca
Download or read book Quantum Walks for Computer Scientists written by Salvador Elías Venegas-Andraca and published by Morgan & Claypool Publishers. This book was released on 2008 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Quantum Walks and Search Algorithms by : Renato Portugal
Download or read book Quantum Walks and Search Algorithms written by Renato Portugal and published by Springer Science & Business Media. This book was released on 2013-02-16 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses an interesting area of quantum computation called quantum walks, which play an important role in building quantum algorithms, in particular search algorithms. Quantum walks are the quantum analogue of classical random walks. It is known that quantum computers have great power for searching unsorted databases. This power extends to many kinds of searches, particularly to the problem of finding a specific location in a spatial layout, which can be modeled by a graph. The goal is to find a specific node knowing that the particle uses the edges to jump from one node to the next. This book is self-contained with main topics that include: Grover's algorithm, describing its geometrical interpretation and evolution by means of the spectral decomposition of the evolution operator Analytical solutions of quantum walks on important graphs like line, cycles, two-dimensional lattices, and hypercubes using Fourier transforms Quantum walks on generic graphs, describing methods to calculate the limiting distribution and mixing time Spatial search algorithms, with emphasis on the abstract search algorithm (the two-dimensional lattice is used as an example) Szedgedy's quantum-walk model and a natural definition of quantum hitting time (the complete graph is used as an example) The reader will benefit from the pedagogical aspects of the book, learning faster and with more ease than would be possible from the primary research literature. Exercises and references further deepen the reader's understanding, and guidelines for the use of computer programs to simulate the evolution of quantum walks are also provided.
Book Synopsis Quantum Walks and Search Algorithms by : Renato Portugal
Download or read book Quantum Walks and Search Algorithms written by Renato Portugal and published by Springer. This book was released on 2018-08-20 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Review of the first edition: “The book is nicely written, the concepts are introduced naturally, and many meaningful connections between them are highlighted. The author proposes a series of exercises that help the reader get some working experience with the presented concepts, facilitating a better understanding. Each chapter ends with a discussion of further references, pointing the reader to major results on the topics presented in the respective chapter.” - Florin Manea, zbMATH.
Book Synopsis Physical Implementation of Quantum Walks by : Kia Manouchehri
Download or read book Physical Implementation of Quantum Walks written by Kia Manouchehri and published by Springer Science & Business Media. This book was released on 2013-08-23 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Computing for Computer Scientists by : Noson S. Yanofsky
Download or read book Quantum Computing for Computer Scientists written by Noson S. Yanofsky and published by Cambridge University Press. This book was released on 2008-08-11 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The multidisciplinary field of quantum computing strives to exploit some of the uncanny aspects of quantum mechanics to expand our computational horizons. Quantum Computing for Computer Scientists takes readers on a tour of this fascinating area of cutting-edge research. Written in an accessible yet rigorous fashion, this book employs ideas and techniques familiar to every student of computer science. The reader is not expected to have any advanced mathematics or physics background. After presenting the necessary prerequisites, the material is organized to look at different aspects of quantum computing from the specific standpoint of computer science. There are chapters on computer architecture, algorithms, programming languages, theoretical computer science, cryptography, information theory, and hardware. The text has step-by-step examples, more than two hundred exercises with solutions, and programming drills that bring the ideas of quantum computing alive for today's computer science students and researchers.
Book Synopsis Quantum Computer Science by : Marco Lanzagorta
Download or read book Quantum Computer Science written by Marco Lanzagorta and published by Morgan & Claypool Publishers. This book was released on 2009 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text we present a technical overview of the emerging field of quantum computation along with new research results by the authors. What distinguishes our presentation from that of others is our focus on the relationship between quantum computation and computer science. Specifically, our emphasis is on the computational model of quantum computing rather than on the engineering issues associated with its physical implementation. We adopt this approach for the same reason that a book on computer programming doesn't cover the theory and physical realization of semiconductors. Another distinguishing feature of this text is our detailed discussion of the circuit complexity of quantum algorithms. To the extent possible we have presented the material in a form that is accessible to the computer scientist, but in many cases we retain the conventional physics notation so that the reader will also be able to consult the relevant quantum computing literature. Although we expect the reader to have a solid understanding of linear algebra, we do not assume a background in physics. This text is based on lectures given as short courses and invited presentations around the world, and it has been used as the primary text for a graduate course at George Mason University. In all these cases our challenge has been the same: how to present to a general audience a concise introduction to the algorithmic structure and applications of quantum computing on an extremely short period of time. The feedback from these courses and presentations has greatly aided in making our exposition of challenging concepts more accessible to a general audience. Table of Contents: Introduction / The Algorithmic Structure of Quantum Computing / Advantages and Limitations of Quantum Computing / Amplitude Amplification / Case Study: Computational Geometry / The Quantum Fourier Transform / Case Study: The Hidden Subgroup / Circuit Complexity Analysis of Quantum Algorithms / Conclusions / Bibliography
Book Synopsis SOFSEM 2008: Theory and Practice of Computer Science by : Viliam Geffert
Download or read book SOFSEM 2008: Theory and Practice of Computer Science written by Viliam Geffert and published by Springer Science & Business Media. This book was released on 2008-01-11 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited and the contributed papers selected for p- th sentation at SOFSEM 2008, the 34 Conference on Current Trends in Theory and Practice of Computer Science, which was held January 19-25, 2008, in the Atrium Hotel, Novy þ Smokovec, High Tatras in Slovakia. SOFSEM (originally SOFtware SEMinar), as an annual international c- ference devoted to the theory and practice of computer science, aims to foster cooperationamongprofessionalsfromacademiaandindustryworkinginallareas in this?eld. Developing over the years from a local event to a fully international and well-established conference, contemporary SOFSEM continues to maintain the best of its original Winter School aspects, such as a high number of invited talks and in-depth coverage of novel research results in selected areas within computer science. SOFSEM 2008 was organized around the following tracks: - Foundations of Computer Science (Chair: Juhani Karhum· aki) - Computing by Nature (Chair: Alberto Bertoni) - Networks, Security, and Cryptography (Chair: Bart Preneel) - Web Technologies (Chair: Pavol Nþ avrat) The SOFSEM 2008 Program Committee consisted of 75 international - perts, representing active areas of the SOFSEM 2008 tracks with outstanding expertise and an eye for current developments, evaluating the submissions with the help of 169 additional reviewers. An integral part of SOFSEM 2008 was the traditional Student Research - rum (chaired by Ma þria Bielikovþ a), organized with the aim of presenting student projectsinthetheoryandpracticeofcomputerscienceandtogivestudentsfe- back on both originality of their scienti?c results and on their work in progress.
Book Synopsis Quantum Computer Systems: Research for Noisy Intermediate-Scale Quantum Computers by : Yongshan Ding
Download or read book Quantum Computer Systems: Research for Noisy Intermediate-Scale Quantum Computers written by Yongshan Ding and published by Morgan & Claypool Publishers. This book was released on 2020-06-17 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book targets computer scientists and engineers who are familiar with concepts in classical computer systems but are curious to learn the general architecture of quantum computing systems. It gives a concise presentation of this new paradigm of computing from a computer systems' point of view without assuming any background in quantum mechanics. As such, it is divided into two parts. The first part of the book provides a gentle overview on the fundamental principles of the quantum theory and their implications for computing. The second part is devoted to state-of-the-art research in designing practical quantum programs, building a scalable software systems stack, and controlling quantum hardware components. Most chapters end with a summary and an outlook for future directions. This book celebrates the remarkable progress that scientists across disciplines have made in the past decades and reveals what roles computer scientists and engineers can play to enable practical-scale quantum computing.
Book Synopsis Quantum Walks and Search Algorithms by :
Download or read book Quantum Walks and Search Algorithms written by and published by Springer. This book was released on 2013-02-19 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Computer Science by : N. David Mermin
Download or read book Quantum Computer Science written by N. David Mermin and published by Cambridge University Press. This book was released on 2007-08-30 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Computing for Computer Scientists by : Noson S. Yanofsky
Download or read book Quantum Computing for Computer Scientists written by Noson S. Yanofsky and published by . This book was released on 2008 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The multidisciplinary field of quantum computing strives to exploit some of the uncanny aspects of quantum mechanics to expand our computational horizons. Quantum Computing for Computer Scientists takes readers on a tour of this fascinating area of cutting-edge research. Written in an accessible yet rigorous fashion, this book employs ideas and techniques familiar to every student of computer science. The reader is not expected to have any advanced mathematics or physics background. After presenting the necessary prerequisites, the material is organized to look at different aspects of quantum computing from the specific standpoint of computer science. There are chapters on computer architecture, algorithms, programming languages, theoretical computer science, cryptography, information theory, and hardware. The text has step-by-step examples, more than two hundred exercises with solutions, and programming drills that bring the ideas of quantum computing alive for today's computer science students and researchers. --from publisher description.
Book Synopsis Randomization and Approximation Techniques in Computer Science by : Jose D.P. Rolim
Download or read book Randomization and Approximation Techniques in Computer Science written by Jose D.P. Rolim and published by Springer. This book was released on 2003-08-03 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2002, held in Cambridge, MA, USA in September 2002. The 21 revised full papers presented were carefully reviewed and selected from 48 submissions. Among the topics addressed are coding, geometric computations, graph colorings, random hypergraphs, graph computations, lattice computations, proof systems, probabilistic algorithms, derandomization, constraint satisfaction, and web graphs analysis.
Book Synopsis Quantum Computation by : Andreas De Vries
Download or read book Quantum Computation written by Andreas De Vries and published by BoD – Books on Demand. This book was released on 2012 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the 1980s research on quantum computation has dramatically changed the theoretical perspectives of computer science. Quantum computers could enable unprecedented computational power and revolutionize our cryptographic systems, even our entire electronic communication. This textbook gives an introduction to the theory of quantum computation. The author has chosen an elementary and lean theoretical approach, presupposing mathematical and physical knowledge which is standard in undergraduate courses of scientific or engineering studies, in essence linear algebra and complex numbers. The necessary mathematical notions are given in the appendix. Contents - Strange quantum world, qubits und quantum gates - Quantum Fourier transformation and QFT algorithms - Quantum search, quantum communication, error correcting quantum codes - How to build and simulate a quantum computer - Density operators and measurements - Complexity theory and quantum logic Who should read this book? - Students of engineering, especially electronic engineering - Students of computer science, physics, or mathematics - Practitioners in business and economy who want to understand, apply, or evaluate this new technology
Book Synopsis Introduction to Classical and Quantum Computing by : Thomas Wong
Download or read book Introduction to Classical and Quantum Computing written by Thomas Wong and published by . This book was released on 2022-01-21 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Explorations in Quantum Computing by : Colin P. Williams
Download or read book Explorations in Quantum Computing written by Colin P. Williams and published by Springer Science & Business Media. This book was released on 2010-12-07 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A Primer on Quantum Computing by : Franklin de Lima Marquezino
Download or read book A Primer on Quantum Computing written by Franklin de Lima Marquezino and published by Springer. This book was released on 2019-06-25 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about quantum computing and quantum algorithms. The book starts with a chapter introducing the basic rules of quantum mechanics and how they can be used to build quantum circuits and perform computations. Further, Grover's algorithm is presented for unstructured search discussing its consequences and applications. Next, important techniques are discussed such as Quantum Fourier Transform and quantum phase estimation. Finally, Shor's algorithm for integer factorization is explained. At last, quantum walks are explained in detail covering both the discrete and continuous time models,and applications of this techniques are described for the design and analyses of quantum algorithms.
