Quantum Walks And Search Algorithms

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Quantum Walks and Search Algorithms

Author : Renato Portugal
Publisher : Springer Science & Business Media
ISBN 13 : 146146336X
Total Pages : 228 pages
Book Rating : 4.4/5 (614 download)

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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.

Quantum Walks and Search Algorithms

Author : Renato Portugal
Publisher : Springer
ISBN 13 : 3319978136
Total Pages : 314 pages
Book Rating : 4.3/5 (199 download)

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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 314 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.

Physical Implementation of Quantum Walks

Author : Kia Manouchehri
Publisher : Springer Science & Business Media
ISBN 13 : 3642360149
Total Pages : 252 pages
Book Rating : 4.6/5 (423 download)

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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.

Theory and Applications of Models of Computation

Author :
Publisher :
ISBN 13 :
Total Pages : 598 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Theory and Applications of Models of Computation by :

Download or read book Theory and Applications of Models of Computation written by and published by . This book was released on 2008 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Query Complexity

Author : Mario Szegedy
Publisher : World Scientific Publishing Company
ISBN 13 : 9789813223202
Total Pages : 200 pages
Book Rating : 4.2/5 (232 download)

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Book Synopsis Query Complexity by : Mario Szegedy

Download or read book Query Complexity written by Mario Szegedy and published by World Scientific Publishing Company. This book was released on 2018-06-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Computing: An Applied Approach

Author : Jack D. Hidary
Publisher : Springer Nature
ISBN 13 : 3030832740
Total Pages : 422 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Quantum Computing: An Applied Approach by : Jack D. Hidary

Download or read book Quantum Computing: An Applied Approach written by Jack D. Hidary and published by Springer Nature. This book was released on 2021-09-29 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book integrates the foundations of quantum computing with a hands-on coding approach to this emerging field; it is the first to bring these elements together in an updated manner. This work is suitable for both academic coursework and corporate technical training. The second edition includes extensive updates and revisions, both to textual content and to the code. Sections have been added on quantum machine learning, quantum error correction, Dirac notation and more. This new edition benefits from the input of the many faculty, students, corporate engineering teams, and independent readers who have used the first edition. This volume comprises three books under one cover: Part I outlines the necessary foundations of quantum computing and quantum circuits. Part II walks through the canon of quantum computing algorithms and provides code on a range of quantum computing methods in current use. Part III covers the mathematical toolkit required to master quantum computing. Additional resources include a table of operators and circuit elements and a companion GitHub site providing code and updates. Jack D. Hidary is a research scientist in quantum computing and in AI at Alphabet X, formerly Google X.

Quantum Image Processing

Author : Fei Yan
Publisher : Springer Nature
ISBN 13 : 9813293314
Total Pages : 177 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Quantum Image Processing by : Fei Yan

Download or read book Quantum Image Processing written by Fei Yan and published by Springer Nature. This book was released on 2020-01-03 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to quantum image processing, which focuses on extending conventional image processing tasks to the quantum computing frameworks. It summarizes the available quantum image representations and their operations, reviews the possible quantum image applications and their implementation, and discusses the open questions and future development trends. It offers a valuable reference resource for graduate students and researchers interested in this emerging interdisciplinary field.

Quantum Computation and Quantum Information

Author : Michael A. Nielsen
Publisher : Cambridge University Press
ISBN 13 : 1139495488
Total Pages : 709 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Quantum Computation and Quantum Information by : Michael A. Nielsen

Download or read book Quantum Computation and Quantum Information written by Michael A. Nielsen and published by Cambridge University Press. This book was released on 2010-12-09 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most cited books in physics of all time, Quantum Computation and Quantum Information remains the best textbook in this exciting field of science. This 10th anniversary edition includes an introduction from the authors setting the work in context. This comprehensive textbook describes such remarkable effects as fast quantum algorithms, quantum teleportation, quantum cryptography and quantum error-correction. Quantum mechanics and computer science are introduced before moving on to describe what a quantum computer is, how it can be used to solve problems faster than 'classical' computers and its real-world implementation. It concludes with an in-depth treatment of quantum information. Containing a wealth of figures and exercises, this well-known textbook is ideal for courses on the subject, and will interest beginning graduate students and researchers in physics, computer science, mathematics, and electrical engineering.

Quantum Walks for Computer Scientists

Author : Salvador Venegas-Andraca
Publisher : Springer Nature
ISBN 13 : 3031025113
Total Pages : 119 pages
Book Rating : 4.0/5 (31 download)

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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

Quantum Walks for Computer Scientists

Author : Salvador Elías Venegas-Andraca
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598296566
Total Pages : 134 pages
Book Rating : 4.5/5 (982 download)

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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.

Quantum Machine Learning: An Applied Approach

Author : Santanu Ganguly
Publisher : Apress
ISBN 13 : 9781484270974
Total Pages : 551 pages
Book Rating : 4.2/5 (79 download)

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Book Synopsis Quantum Machine Learning: An Applied Approach by : Santanu Ganguly

Download or read book Quantum Machine Learning: An Applied Approach written by Santanu Ganguly and published by Apress. This book was released on 2021-08-11 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Know how to adapt quantum computing and machine learning algorithms. This book takes you on a journey into hands-on quantum machine learning (QML) through various options available in industry and research. The first three chapters offer insights into the combination of the science of quantum mechanics and the techniques of machine learning, where concepts of classical information technology meet the power of physics. Subsequent chapters follow a systematic deep dive into various quantum machine learning algorithms, quantum optimization, applications of advanced QML algorithms (quantum k-means, quantum k-medians, quantum neural networks, etc.), qubit state preparation for specific QML algorithms, inference, polynomial Hamiltonian simulation, and more, finishing with advanced and up-to-date research areas such as quantum walks, QML via Tensor Networks, and QBoost. Hands-on exercises from open source libraries regularly used today in industry and research are included, such as Qiskit, Rigetti's Forest, D-Wave's dOcean, Google's Cirq and brand new TensorFlow Quantum, and Xanadu's PennyLane, accompanied by guided implementation instructions. Wherever applicable, the book also shares various options of accessing quantum computing and machine learning ecosystems as may be relevant to specific algorithms. The book offers a hands-on approach to the field of QML using updated libraries and algorithms in this emerging field. You will benefit from the concrete examples and understanding of tools and concepts for building intelligent systems boosted by the quantum computing ecosystem. This work leverages the author’s active research in the field and is accompanied by a constantly updated website for the book which provides all of the code examples. What You will Learn Understand and explore quantum computing and quantum machine learning, and their application in science and industry Explore various data training models utilizing quantum machine learning algorithms and Python libraries Get hands-on and familiar with applied quantum computing, including freely available cloud-based access Be familiar with techniques for training and scaling quantum neural networks Gain insight into the application of practical code examples without needing to acquire excessive machine learning theory or take a quantum mechanics deep dive Who This Book Is For Data scientists, machine learning professionals, and researchers

Quantum Walks and Search Algorithms

Author :
Publisher : Springer
ISBN 13 : 9781461463375
Total Pages : 236 pages
Book Rating : 4.4/5 (633 download)

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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:

Foundations of Quantum Programming

Author : Mingsheng Ying
Publisher : Elsevier
ISBN 13 : 0443159432
Total Pages : 474 pages
Book Rating : 4.4/5 (431 download)

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Book Synopsis Foundations of Quantum Programming by : Mingsheng Ying

Download or read book Foundations of Quantum Programming written by Mingsheng Ying and published by Elsevier. This book was released on 2024-04-29 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computers promise dramatic advantages in processing speed over currently available computer systems. Quantum computing offers great promise in a wide variety of computing and scientific research, including Quantum cryptography, machine learning, computational biology, renewable energy, computer-aided drug design, generative chemistry, and any scientific or enterprise application that requires computation speed or reach beyond the limits of current conventional computer systems. Foundations of Quantum Programming, Second Edition discusses how programming methodologies and technologies developed for current computers can be extended for quantum computers, along with new programming methodologies and technologies that can effectively exploit the unique power of quantum computing. The Second Edition includes two new chapters describing programming models and methodologies for parallel and distributed quantum computers. The author has also included two new chapters to introduce Quantum Machine Learning and its programming models – parameterized and differential quantum programming. In addition, the First Edition's preliminaries chapter has been split into three chapters, with two sections for quantum Turing machines and random access stored program machines added to give the reader a more complete picture of quantum computational models. Finally, several other new techniques are introduced in the Second Edition, including invariants of quantum programs and their generation algorithms, and abstract interpretation of quantum programs. - Demystifies the theory of quantum programming using a step-by-step approach - Includes methodologies, techniques, and tools for the development, analysis, and verification of quantum programs and quantum cryptographic protocols - Covers the interdisciplinary nature of quantum programming by providing preliminaries from quantum mechanics, mathematics, and computer science, and pointing out its potential applications to quantum engineering and physics - Presents a coherent and self-contained treatment that will be valuable for academic and industrial researchers and developers - Adds new developments such as parallel and distributed quantum programming; and introduces several new program analysis techniques such as invariants generation and abstract interpretation

Classical and Quantum Computation

Author : Alexei Yu. Kitaev
Publisher : American Mathematical Soc.
ISBN 13 : 0821832298
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classical and Quantum Computation by : Alexei Yu. Kitaev

Download or read book Classical and Quantum Computation written by Alexei Yu. Kitaev and published by American Mathematical Soc.. This book was released on 2002 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to a rapidly developing topic: the theory of quantum computing. Following the basics of classical theory of computation, the book provides an exposition of quantum computation theory. In concluding sections, related topics, including parallel quantum computation, are discussed.

Quantum Computing for Programmers

Author : Robert Hundt
Publisher : Cambridge University Press
ISBN 13 : 1009098179
Total Pages : 375 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Quantum Computing for Programmers by : Robert Hundt

Download or read book Quantum Computing for Programmers written by Robert Hundt and published by Cambridge University Press. This book was released on 2022-03-31 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Takes readers from the basics to detailed derivations and open-source implementations of more than 25 fundamental quantum algorithms.

Quantum Computing

Author : National Academies of Sciences, Engineering, and Medicine
Publisher : National Academies Press
ISBN 13 : 030947969X
Total Pages : 273 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Quantum Computing by : National Academies of Sciences, Engineering, and Medicine

Download or read book Quantum Computing written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2019-04-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics, the subfield of physics that describes the behavior of very small (quantum) particles, provides the basis for a new paradigm of computing. First proposed in the 1980s as a way to improve computational modeling of quantum systems, the field of quantum computing has recently garnered significant attention due to progress in building small-scale devices. However, significant technical advances will be required before a large-scale, practical quantum computer can be achieved. Quantum Computing: Progress and Prospects provides an introduction to the field, including the unique characteristics and constraints of the technology, and assesses the feasibility and implications of creating a functional quantum computer capable of addressing real-world problems. This report considers hardware and software requirements, quantum algorithms, drivers of advances in quantum computing and quantum devices, benchmarks associated with relevant use cases, the time and resources required, and how to assess the probability of success.

Quantum Computer Science

Author : N. David Mermin
Publisher : Cambridge University Press
ISBN 13 : 1139466801
Total Pages : 236 pages
Book Rating : 4.1/5 (394 download)

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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.