Introduction to Quantum Algorithms via Linear Algebra, second edition

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Publisher : MIT Press
ISBN 13 : 0262362155
Total Pages : 281 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Introduction to Quantum Algorithms via Linear Algebra, second edition by : Richard J. Lipton

Download or read book Introduction to Quantum Algorithms via Linear Algebra, second edition written by Richard J. Lipton and published by MIT Press. This book was released on 2021-04-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background in physics. This introduction to quantum algorithms is concise but comprehensive, covering many key algorithms. It is mathematically rigorous but requires minimal background and assumes no knowledge of quantum theory or quantum mechanics. The book explains quantum computation in terms of elementary linear algebra; it assumes the reader will have some familiarity with vectors, matrices, and their basic properties, but offers a review of the relevant material from linear algebra. By emphasizing computation and algorithms rather than physics, it makes quantum algorithms accessible to students and researchers in computer science who have not taken courses in quantum physics or delved into fine details of quantum effects, apparatus, circuits, or theory.

Quantum Algorithms via Linear Algebra

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Publisher : MIT Press
ISBN 13 : 0262028395
Total Pages : 207 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Quantum Algorithms via Linear Algebra by : Richard J. Lipton

Download or read book Quantum Algorithms via Linear Algebra written by Richard J. Lipton and published by MIT Press. This book was released on 2014-12-05 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background in physics. This introduction to quantum algorithms is concise but comprehensive, covering many key algorithms. It is mathematically rigorous but requires minimal background and assumes no knowledge of quantum theory or quantum mechanics. The book explains quantum computation in terms of elementary linear algebra; it assumes the reader will have some familiarity with vectors, matrices, and their basic properties, but offers a review of all the relevant material from linear algebra. By emphasizing computation and algorithms rather than physics, this primer makes quantum algorithms accessible to students and researchers in computer science without the complications of quantum mechanical notation, physical concepts, and philosophical issues. After explaining the development of quantum operations and computations based on linear algebra, the book presents the major quantum algorithms, from seminal algorithms by Deutsch, Jozsa, and Simon through Shor's and Grover's algorithms to recent quantum walks. It covers quantum gates, computational complexity, and some graph theory. Mathematical proofs are generally short and straightforward; quantum circuits and gates are used to illuminate linear algebra; and the discussion of complexity is anchored in computational problems rather than machine models. Quantum Algorithms via Linear Algebra is suitable for classroom use or as a reference for computer scientists and mathematicians.

An Introduction to Quantum Computing

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Author :
Publisher : OUP Oxford
ISBN 13 : 0191524611
Total Pages : 288 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis An Introduction to Quantum Computing by : Phillip Kaye

Download or read book An Introduction to Quantum Computing written by Phillip Kaye and published by OUP Oxford. This book was released on 2006-11-17 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required.

Classical and Quantum Computation

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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.

Introduction to Classical and Quantum Computing

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.9/5 (855 download)

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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: Introduction to Classical and Quantum Computing is for students who want to learn quantum computing beyond a conceptual level, but who lack advanced training in mathematics. The only prerequisite is trigonometry, and mathematics beyond that will be covered, including linear algebra. This book is suitable as a course textbook or for independent study.The text begins with a significant overview of classical computing, from how they add numbers to their computational limits, and it mirrors many of the quantum computing topics that are covered later. Then, the investigation of quantum computing begins with a single qubit and quantum gates acting on it, first using geometry and elementary algebra, and later using linear algebra. Computer algebra systems are utilized, and code for both Mathematica and SageMath is included. After one qubit, multi-qubit systems are covered, including how quantum computers add numbers, universal gate sets, and error correction. After this, readers learn how to program quantum circuits on actual quantum processors using IBM Quantum Experience. Afterward, entanglement and quantum protocols are explored. Finally, quantum algorithms are examined, culminating in Shor's algorithm for factoring. Abundant use of the Quirk quantum simulator is used throughout. Finally, a short discussion of careers in quantum computing is provided, along with some possible technical topics to learn next.

An Introduction to Quantum Computing

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Author :
Publisher : Oxford University Press on Demand
ISBN 13 : 0198570007
Total Pages : 287 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis An Introduction to Quantum Computing by : Phillip Kaye

Download or read book An Introduction to Quantum Computing written by Phillip Kaye and published by Oxford University Press on Demand. This book was released on 2007 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors provide an introduction to quantum computing. Aimed at advanced undergraduate and beginning graduate students in these disciplines, this text is illustrated with diagrams and exercises.

Quantum Computing

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Publisher : CRC Press
ISBN 13 : 1420012290
Total Pages : 439 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Quantum Computing by : Mikio Nakahara

Download or read book Quantum Computing written by Mikio Nakahara and published by CRC Press. This book was released on 2008-03-11 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both theory and progressive experiments, Quantum Computing: From Linear Algebra to Physical Realizations explains how and why superposition and entanglement provide the enormous computational power in quantum computing. This self-contained, classroom-tested book is divided into two sections, with the first devoted to the theoretical aspect

An Introduction to Quantum Computing Algorithms

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461213908
Total Pages : 149 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to Quantum Computing Algorithms by : Arthur O. Pittenger

Download or read book An Introduction to Quantum Computing Algorithms written by Arthur O. Pittenger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1994 Peter Shor [65] published a factoring algorithm for a quantum computer that finds the prime factors of a composite integer N more efficiently than is possible with the known algorithms for a classical com puter. Since the difficulty of the factoring problem is crucial for the se curity of a public key encryption system, interest (and funding) in quan tum computing and quantum computation suddenly blossomed. Quan tum computing had arrived. The study of the role of quantum mechanics in the theory of computa tion seems to have begun in the early 1980s with the publications of Paul Benioff [6]' [7] who considered a quantum mechanical model of computers and the computation process. A related question was discussed shortly thereafter by Richard Feynman [35] who began from a different perspec tive by asking what kind of computer should be used to simulate physics. His analysis led him to the belief that with a suitable class of "quantum machines" one could imitate any quantum system.

Introduction to Quantum Computation

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Author :
Publisher : Universal-Publishers
ISBN 13 : 158112466X
Total Pages : 168 pages
Book Rating : 4.5/5 (811 download)

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Book Synopsis Introduction to Quantum Computation by : Ioan Burda

Download or read book Introduction to Quantum Computation written by Ioan Burda and published by Universal-Publishers. This book was released on 2005 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Introduction to Quantum Computation" is an introduction to a new rapidly developing theory of quantum computing. The book is a comprehensive introduction to the main ideas and techniques of quantum computation. It begins with the basics of classical theory of computation: NP-complete problems, Boolean circuits, Finite state machine, Turing machine and the idea of complexity of an algorithm. The general quantum formalism (pure states, qubit, superposition, evolution of quantum system, entanglement, multi-qubit system ...) and complex algorithm examples are also presented. Matlab is a well known in engineer academia as matrix computing environment, which makes it well suited for simulating quantum algorithms. The (Quantum Computer Toolbox) QCT is written entirely in the Matlab and m-files are listed in book's sections. There are certain data types that are implicitly defined by the QCT, including data types for qubit registers and transformations. The QCT contains many functions designed to mimic the actions of a quantum computer. In addition, the QCT contains several convenience functions designed to aid in the creation and modification of the data types used in algorithms. The main purposes of the QCT are for research involving Quantum Computation and as a teaching tool to aid in learning about Quantum Computing systems. The readers will learn to implement complex quantum algorithm (quantum teleportation and Deutsch, Grover, Shor algorithm) under Matlab environment (complete Matlab code examples).

Introduction to Quantum Algorithms

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Publisher : American Mathematical Society
ISBN 13 : 1470473984
Total Pages : 391 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Introduction to Quantum Algorithms by : Johannes A. Buchmann

Download or read book Introduction to Quantum Algorithms written by Johannes A. Buchmann and published by American Mathematical Society. This book was released on 2024-03-18 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum algorithms are among the most important, interesting, and promising innovations in information and communication technology. They pose a major threat to today's cybersecurity and at the same time promise great benefits by potentially solving previously intractable computational problems with reasonable effort. The theory of quantum algorithms is based on advanced concepts from computer science, mathematics, and physics. Introduction to Quantum Algorithms offers a mathematically precise exploration of these concepts, accessible to those with a basic mathematical university education, while also catering to more experienced readers. This comprehensive book is suitable for self-study or as a textbook for one- or two-semester introductory courses on quantum computing algorithms. Instructors can tailor their approach to emphasize theoretical understanding and proofs or practical applications of quantum algorithms, depending on the course's goals and timeframe.

Quantum Computing in Action

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Publisher : Simon and Schuster
ISBN 13 : 1638350949
Total Pages : 264 pages
Book Rating : 4.6/5 (383 download)

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Book Synopsis Quantum Computing in Action by : Johan Vos

Download or read book Quantum Computing in Action written by Johan Vos and published by Simon and Schuster. This book was released on 2022-03-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computing is on the horizon and you can get started today! This practical, clear-spoken guide shows you don’t need a physics degree to write your first quantum software. In Quantum Computing in Action you will learn: An introduction to the core concepts of quantum computing Qubits and quantum gates Superposition, entanglement, and hybrid computing Quantum algorithms including Shor’s, Deutsch-jozsa, and Grover’s search Quantum Computing in Action shows you how to leverage your existing Java skills into writing your first quantum software, so you’re ready for the quantum revolution. This book is focused on practical implementations of quantum computing algorithms—there’s no deep math or confusing theory. Using Strange, a Java-based quantum computer simulator, you’ll go hands-on with quantum computing’s core components including qubits and quantum gates. About the technology Quantum computing promises unimaginably fast performance for tasks like encryption, scientific modeling, manufacturing logistics, financial modeling, and AI. Developers can explore quantum computing now using free simulators, and increasingly powerful true quantum systems are gradually becoming available for production use. This book gives you a head start on quantum computing by introducing core concepts, key algorithms, and the most beneficial use cases. About the book Quantum Computing in Action is a gentle introduction to the ideas and applications of quantum computing. After briefly reviewing the science that makes quantum tick, it guides you through practical implementations of quantum computing algorithms. You’ll write your first quantum code and explore qubits and quantum gates with the Java-based Strange quantum simulator. You’ll enjoy the interesting examples and insightful explanations as you create quantum algorithms using standard Java and your favorite IDE and build tools. What's inside An introduction to the core concepts of quantum computing Qubits and quantum gates Superposition, entanglement, and hybrid computing Quantum algorithms including Shor’s, Deutsch-jozsa, and Grover’s search About the reader For Java developers. No advanced math knowledge required. About the author Johan Vos is a cofounder of Gluon, a Java technology company. He is a Java Champion and holds an MSc in Mining Engineering and a PhD in Applied Physics. Table of Contents PART 1 QUANTUM COMPUTING INTRODUCTION 1 Evolution, revolution, or hype? 2 “Hello World,” quantum computing style 3 Qubits and quantum gates: The basic units in quantum computing PART 2 FUNDAMENTAL CONCEPTS AND HOW THEY RELATE TO CODE 4 Superposition 5 Entanglement 6 Quantum networking: The basics PART 3 QUANTUM ALGORITHMS AND CODE 7 Our HelloWorld, explained 8 Secure communication using quantum computing 9 Deutsch-Jozsa algorithm 10 Grover’s search algorithm 11 Shor’s algorithm

Quantum Computing

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Publisher : MIT Press
ISBN 13 : 0262526670
Total Pages : 389 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Quantum Computing by : Eleanor G. Rieffel

Download or read book Quantum Computing written by Eleanor G. Rieffel and published by MIT Press. This book was released on 2014-08-29 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough exposition of quantum computing and the underlying concepts of quantum physics, with explanations of the relevant mathematics and numerous examples. The combination of two of the twentieth century's most influential and revolutionary scientific theories, information theory and quantum mechanics, gave rise to a radically new view of computing and information. Quantum information processing explores the implications of using quantum mechanics instead of classical mechanics to model information and its processing. Quantum computing is not about changing the physical substrate on which computation is done from classical to quantum but about changing the notion of computation itself, at the most basic level. The fundamental unit of computation is no longer the bit but the quantum bit or qubit. This comprehensive introduction to the field offers a thorough exposition of quantum computing and the underlying concepts of quantum physics, explaining all the relevant mathematics and offering numerous examples. With its careful development of concepts and thorough explanations, the book makes quantum computing accessible to students and professionals in mathematics, computer science, and engineering. A reader with no prior knowledge of quantum physics (but with sufficient knowledge of linear algebra) will be able to gain a fluent understanding by working through the book.

Machine Learning with Quantum Computers

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Publisher : Springer Nature
ISBN 13 : 3030830985
Total Pages : 321 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Machine Learning with Quantum Computers by : Maria Schuld

Download or read book Machine Learning with Quantum Computers written by Maria Schuld and published by Springer Nature. This book was released on 2021-10-17 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction into quantum machine learning research, covering approaches that range from "near-term" to fault-tolerant quantum machine learning algorithms, and from theoretical to practical techniques that help us understand how quantum computers can learn from data. Among the topics discussed are parameterized quantum circuits, hybrid optimization, data encoding, quantum feature maps and kernel methods, quantum learning theory, as well as quantum neural networks. The book aims at an audience of computer scientists and physicists at the graduate level onwards. The second edition extends the material beyond supervised learning and puts a special focus on the developments in near-term quantum machine learning seen over the past few years.

Quantum Computer Science

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1598297325
Total Pages : 125 pages
Book Rating : 4.5/5 (982 download)

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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

Quantum Computer Science

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Author :
Publisher : Springer Nature
ISBN 13 : 3031025121
Total Pages : 121 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Quantum Computer Science by : Marco Lanzagorta

Download or read book Quantum Computer Science written by Marco Lanzagorta and published by Springer Nature. This book was released on 2022-05-31 with total page 121 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 computingrather 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 graduatecourse at George Mason University. In all these cases our challenge has been the same: how to present to a generalaudience 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

An Introduction to Quantum Computing

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Author :
Publisher : Anya Bindra
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4./5 ( download)

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Book Synopsis An Introduction to Quantum Computing by : Anya Bindra

Download or read book An Introduction to Quantum Computing written by Anya Bindra and published by Anya Bindra. This book was released on with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computing is an emerging technology with the power to bring new breakthroughs in the fields of science, and can complement and make existing technologies such as machine learning more powerful. Today, there are certain challenges that classical computing is not able to solve such as the factoring integers problem which is considered an NP problem, but can easily be cracked using Shor’s algorithm. In this textbook, we will explore how quantum computers use the principles of superposition and entanglement as their foundations and harness the power of Bloch Spheres to represent states of a qubit. An introduction to quantum computing with Qiskit begins with developing the linear algebra and quantum mechanics that are key to understanding quantum computing. Then the basics of coding quantum circuits and quantum logic gates will be introduced, and several exciting algorithms such as quantum cryptography algorithms will be implemented on Qiskit(Quantum Information Science Kit).

Introduction to Quantum Computers

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Author :
Publisher : World Scientific
ISBN 13 : 9789810235499
Total Pages : 200 pages
Book Rating : 4.2/5 (354 download)

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Book Synopsis Introduction to Quantum Computers by : Gennady P. Berman

Download or read book Introduction to Quantum Computers written by Gennady P. Berman and published by World Scientific. This book was released on 1998 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computing promises to solve problems which are intractable on digital computers. Highly parallel quantum algorithms can decrease the computational time for some problems by many orders of magnitude. This important book explains how quantum computers can do these amazing things. Several algorithms are illustrated: the discrete Fourier transform, Shor's algorithm for prime factorization; algorithms for quantum logic gates; physical implementations of quantum logic gates in ion traps and in spin chains; the simplest schemes for quantum error correction; correction of errors caused by imperfect resonant pulses; correction of errors caused by the nonresonant actions of a pulse; and numerical simulations of dynamical behavior of the quantum Control-Not gate. An overview of some basic elements of computer science is presented, including the Turing machine, Boolean algebra, and logic gates. The required quantum ideas are explained.