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Introduction To Quantum Algorithms

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Introduction To Quantum Algorithms Via Linear Algebra Second Edition

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Author : Richard J. Lipton
language : en
Publisher: MIT Press
Release Date : 2021-04-06

Introduction To Quantum Algorithms Via Linear Algebra Second Edition written by Richard J. Lipton and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-06 with Science categories.

An Introduction To Quantum Computing

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Author : Phillip Kaye
language : en
Publisher: OUP Oxford
Release Date : 2006-11-17

An Introduction To Quantum Computing written by Phillip Kaye and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-17 with Computers categories.

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.

Introduction To Quantum Algorithms Via Linear Algebra Second Edition

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Author : Richard J. Lipton
language : en
Publisher: MIT Press
Release Date : 2021-04-06

Introduction To Quantum Computers

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Author : Gennady P Berman
language : en
Publisher: World Scientific
Release Date : 1998-07-07

Introduction To Quantum Computers written by Gennady P Berman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-07-07 with Science categories.

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.

An Introduction To Quantum Computing Algorithms

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Author : Arthur O. Pittenger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

An Introduction To Quantum Computing Algorithms written by Arthur O. Pittenger 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 2012-12-06 with Computers categories.

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.

Quantum Algorithms Via Linear Algebra

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Author : Richard J. Lipton
language : en
Publisher: MIT Press
Release Date : 2014-12-05

Quantum Algorithms Via Linear Algebra written by Richard J. Lipton and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-05 with Science categories.

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.

Quantum Computing

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Author : Eleanor G. Rieffel
language : en
Publisher: MIT Press
Release Date : 2014-08-29

Quantum Computing written by Eleanor G. Rieffel and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-29 with Computers categories.

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.

Quantum Computing For Everyone

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Author : Chris Bernhardt
language : en
Publisher: MIT Press
Release Date : 2019-03-19

Quantum Computing For Everyone written by Chris Bernhardt and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Computers categories.

An accessible introduction to an exciting new area in computation, explaining such topics as qubits, entanglement, and quantum teleportation for the general reader. Quantum computing is a beautiful fusion of quantum physics and computer science, incorporating some of the most stunning ideas from twentieth-century physics into an entirely new way of thinking about computation. In this book, Chris Bernhardt offers an introduction to quantum computing that is accessible to anyone who is comfortable with high school mathematics. He explains qubits, entanglement, quantum teleportation, quantum algorithms, and other quantum-related topics as clearly as possible for the general reader. Bernhardt, a mathematician himself, simplifies the mathematics as much as he can and provides elementary examples that illustrate both how the math works and what it means. Bernhardt introduces the basic unit of quantum computing, the qubit, and explains how the qubit can be measured; discusses entanglement—which, he says, is easier to describe mathematically than verbally—and what it means when two qubits are entangled (citing Einstein's characterization of what happens when the measurement of one entangled qubit affects the second as “spooky action at a distance”); and introduces quantum cryptography. He recaps standard topics in classical computing—bits, gates, and logic—and describes Edward Fredkin's ingenious billiard ball computer. He defines quantum gates, considers the speed of quantum algorithms, and describes the building of quantum computers. By the end of the book, readers understand that quantum computing and classical computing are not two distinct disciplines, and that quantum computing is the fundamental form of computing. The basic unit of computation is the qubit, not the bit.

A Short Introduction To Quantum Information And Quantum Computation

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Author : Michel Le Bellac
language : en
Publisher: Cambridge University Press
Release Date : 2006-06-15

A Short Introduction To Quantum Information And Quantum Computation written by Michel Le Bellac and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-15 with Science categories.

Quantum information and computation is a rapidly expanding and cross-disciplinary subject. This book, first published in 2006, gives a self-contained introduction to the field for physicists, mathematicians and computer scientists who want to know more about this exciting subject. After a step-by-step introduction to the quantum bit (qubit) and its main properties, the author presents the necessary background in quantum mechanics. The core of the subject, quantum computation, is illustrated by a detailed treatment of three quantum algorithms: Deutsch, Grover and Shor. The final chapters are devoted to the physical implementation of quantum computers, including the most recent aspects, such as superconducting qubits and quantum dots, and to a short account of quantum information. Written at a level suitable for undergraduates in physical sciences, no previous knowledge of quantum mechanics is assumed, and only elementary notions of physics are required. The book includes many short exercises, with solutions available to instructors through [email protected].

A First Introduction To Quantum Computing And Information

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Author : Bernard Zygelman
language : en
Publisher: Springer Nature
Release Date : 2024-11-05

A First Introduction To Quantum Computing And Information written by Bernard Zygelman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-05 with Computers categories.

This textbook addresses and introduces new developments in the field of quantum information and computing (QIC) for a primary audience of undergraduate students. Developments over the past few decades have spurred the need for QIC courseware at major research institutions. To address this, the present 2nd edition of a highly accessible textbook/reference broadens the exposure of QIC science for the undergraduate market. The subject matter is introduced in such a way so that it is accessible to students with only a first-year calculus background. Greater accessibility allows a broader range of academic offerings. Topics and features: Introduces beginning undergraduate students to quantum theory and developments in QIC, without exposure to upper-level physics and mathematics Contains a new chapter on Adiabatic Quantum Computing Integrates Mathematica-based software examples and projects, which offers a “hands-on" experience and facilitates navigation of difficult abstract concepts Offers helpful links to additional exercises, problems, and solution manuals Facilitates a more holistic approach to the teaching of difficult concepts, incorporating symbolic manipulation software Provides new material on Quantum Error Correction Allows a broad-range of course offerings spanning physics, engineering, math and computer science This unique introductory textbook can serve courses offered in university physics, engineering, math, and definitely computer science departments. Use of Mathematica software allows a fast learning curve for students who have limited experience with scientific programming.

Introduction To Quantum Algorithms

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