Quantum Walks For Computer Scientists
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Quantum Walks For Computer Scientists
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Author : Salvador Elías Venegas-Andraca
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2008
Quantum Walks For Computer Scientists written by Salvador Elías Venegas-Andraca and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.
"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.
Quantum Walks For Computer Scientists
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Author : Salvador Venegas-Andraca
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Quantum Walks For Computer Scientists written by Salvador Venegas-Andraca and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Mathematics categories.
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
Quantum Walks For Computer Scientists
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Author : Salvador Venegas-Andraca
language : en
Publisher: Springer
Release Date : 2008-09-15
Quantum Walks For Computer Scientists written by Salvador Venegas-Andraca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-15 with Mathematics categories.
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
Quantum Walks And Search Algorithms
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Author : Renato Portugal
language : en
Publisher: Springer
Release Date : 2018-08-20
Quantum Walks And Search Algorithms written by Renato Portugal and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-20 with Science categories.
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.
Quantum Walks And Search Algorithms
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Author : Renato Portugal
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-16
Quantum Walks And Search Algorithms written by Renato Portugal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-16 with Science categories.
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.
Mathematical And Engineering Methods In Computer Science
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Author : Jan Kofroň
language : en
Publisher: Springer
Release Date : 2016-02-03
Mathematical And Engineering Methods In Computer Science written by Jan Kofroň and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-03 with Computers categories.
This volume contains the post-conference proceedings of the 10th Doctoral Workshop on Mathematical and Engineering Methods in Computer Science, MEMICS 2015, held in Telč, Czech Republic, in October 2015. The 10 thoroughly revised full papers were carefully selected out of 25 submissions and are presented together with 3 invited papers. The topics covered include: security and safety, bioinformatics, recommender systems, high-performance and cloud computing, and non-traditional computational models (quantum computing, etc.).ioinformatics, recommender="" systems,="" high-performance="" and="" cloud="" computing,="" non-traditional="" computational="" models="" (quantum="" etc.).
Natural Computing
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Author : Ferdinand Peper
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-18
Natural Computing written by Ferdinand Peper and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-18 with Science categories.
This book is the refereed proceedings of the Fourth International Workshop on Natural Computing, IWNC 2009, held in Himeji International Exchange Center, HIMEJI, JAPAN on September 2009. IWNC aims to bring together computer scientists, biologists, mathematicians, electronic engineers, physicists, and humanitarians, to critically assess present findings in the field, and to outline future developments in nature-inspired computing.
Randomization And Approximation Techniques In Computer Science
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Author : Jose D.P. Rolim
language : en
Publisher: Springer
Release Date : 2003-08-03
Randomization And Approximation Techniques In Computer Science written by Jose D.P. Rolim and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-03 with Computers categories.
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.
Mathematical Foundations Of Computer Science 2010
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Author : Petr Hlineny
language : en
Publisher: Springer
Release Date : 2010-08-14
Mathematical Foundations Of Computer Science 2010 written by Petr Hlineny and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-14 with Computers categories.
This volume constitutes the refereed proceedings of the 35th International Symposium on Mathematical Foundations of Computer Science, MFCS 2010, held in Brno, Czech Republic, in August 2010. The 56 revised full papers presented together with 5 invited talks were carefully reviewed and selected from 149 submissions. Topics covered include algorithmic game theory, algorithmic learning theory, algorithms and data structures, automata, grammars and formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, cryptography and security, databases and knowledge-based systems, formal specifications and program development, foundations of computing, logic in computer science, mobile computing, models of computation, networks, parallel and distributed computing, quantum computing, semantics and verification of programs, and theoretical issues in artificial intelligence.
Sofsem 2008 Theory And Practice Of Computer Science
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Author : Villiam Geffert
language : en
Publisher: Springer
Release Date : 2008-01-06
Sofsem 2008 Theory And Practice Of Computer Science written by Villiam Geffert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-06 with Computers categories.
This book constitutes the refereed proceedings of the 34th Conference on Current Trends in Theory and Practice of Computer Science, SOFSEM 2008, held in Slovakia, in 2008. The 57 revised full papers, presented together with 10 invited contributions, were carefully reviewed and selected from 162 submissions. The contributions are segmented into four topical sections on foundations of computer science; computing by nature; networks, security, and cryptography; and Web technologies.