Classical And Quantum Computation

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Classical and Quantum Computation

Author : Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi,M. N. Vyalyi
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 54,9 Mb
Release : 2002
Category : Computational complexity
ISBN : 9780821832295

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Classical and Quantum Computation by Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi,M. N. Vyalyi Pdf

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.

Classical and Quantum Computation

Author : Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi
Publisher : Amer Mathematical Society
Page : 257 pages
File Size : 52,7 Mb
Release : 2002
Category : Mathematics
ISBN : 082182161X

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Classical and Quantum Computation by Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi Pdf

An introduction to a rapidly developing topic: the theory of quantum computing. The book begins with the basics of classical theory of computation: Turing machines, Boolean circuits, parallel algorithms, probabilistic computation, NP-complete problems, and the idea of complexity of an algorithm. The second part of the book provides an exposition of quantum computation theory. It starts with the introduction of general quantum formalism (pure states, density matrices, and superoperators), universal gate sets and approximation theorems. Then the authors study various quantum computation algorithms: Grover's algorithm, Shor's factoring algorithm, and the Abelian hidden subgroup problem.

Classical and Quantum Computation

Author : Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi
Publisher : Unknown
Page : 257 pages
File Size : 48,5 Mb
Release : 2002
Category : Computational complexity
ISBN : 1470418002

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Classical and Quantum Computation by Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi Pdf

This book presents a concise introduction to an emerging and increasingly important topic, the theory of quantum computing. The development of quantum computing exploded in 1994 with the discovery of its use in factoring large numbers--an extremely difficult and time-consuming problem when using a conventional computer. In less than 300 pages, the authors set forth a solid foundation to the theory, including results that have not appeared elsewhere and improvements on existing works. The book starts with the basics of classical theory of computation, including NP-complete problems and the idea of complexity of an algorithm. Then the authors introduce general principles of quantum computing and pass to the study of main quantum computation algorithms: Grover's algorithm, Shor's factoring algorithm, and the Abelian hidden subgroup problem. In concluding sections, several related topics are discussed (parallel quantum computation, a quantum analog of NP-completeness, and quantum error-correcting codes). This is a suitable textbook for a graduate course in quantum computing. Prerequisites are very modest and include linear algebra, elements of group theory and probability, and the notion of an algorithm (on a formal or an intuitive level). The book is complete with problems, solutions, and an appendix summarizing the necessary results from number theory.

Classical and Quantum Information

Author : Dan C. Marinescu
Publisher : Academic Press
Page : 744 pages
File Size : 44,6 Mb
Release : 2011-01-07
Category : Mathematics
ISBN : 0123838754

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Classical and Quantum Information by Dan C. Marinescu Pdf

A new discipline, Quantum Information Science, has emerged in the last two decades of the twentieth century at the intersection of Physics, Mathematics, and Computer Science. Quantum Information Processing is an application of Quantum Information Science which covers the transformation, storage, and transmission of quantum information; it represents a revolutionary approach to information processing. Classical and Quantum Information covers topics in quantum computing, quantum information theory, and quantum error correction, three important areas of quantum information processing. Quantum information theory and quantum error correction build on the scope, concepts, methodology, and techniques developed in the context of their close relatives, classical information theory and classical error correcting codes. Presents recent results in quantum computing, quantum information theory, and quantum error correcting codes Covers both classical and quantum information theory and error correcting codes The last chapter of the book covers physical implementation of quantum information processing devices Covers the mathematical formalism and the concepts in Quantum Mechanics critical for understanding the properties and the transformations of quantum information

Classical and Quantum Computing

Author : Yorick Hardy,Willi H. Steeb
Publisher : Birkhäuser
Page : 607 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034883665

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Classical and Quantum Computing by Yorick Hardy,Willi H. Steeb Pdf

This is a self-contained, systematic and comprehensive introduction to all the subjects and techniques important in scientific computing. The style and presentation are readily accessible to undergraduates and graduates. A large number of examples, accompanied by complete C++ and Java code wherever possible, cover every topic.

Quantum Computing for Everyone

Author : Chris Bernhardt
Publisher : MIT Press
Page : 214 pages
File Size : 52,5 Mb
Release : 2020-09-08
Category : Computers
ISBN : 9780262539531

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Quantum Computing for Everyone by Chris Bernhardt Pdf

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.

Quantum Computing Explained

Author : David McMahon
Publisher : John Wiley & Sons
Page : 420 pages
File Size : 44,8 Mb
Release : 2007-12-14
Category : Technology & Engineering
ISBN : 0470181362

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Quantum Computing Explained by David McMahon Pdf

A self-contained treatment of the fundamentals of quantum computing This clear, practical book takes quantum computing out of the realm of theoretical physics and teaches the fundamentals of the field to students and professionals who have not had training in quantum computing or quantum information theory, including computer scientists, programmers, electrical engineers, mathematicians, physics students, and chemists. The author cuts through the conventions of typical jargon-laden physics books and instead presents the material through his unique "how-to" approach and friendly, conversational style. Readers will learn how to carry out calculations with explicit details and will gain a fundamental grasp of: * Quantum mechanics * Quantum computation * Teleportation * Quantum cryptography * Entanglement * Quantum algorithms * Error correction A number of worked examples are included so readers can see how quantum computing is done with their own eyes, while answers to similar end-of-chapter problems are provided for readers to check their own work as they learn to master the information. Ideal for professionals and graduate-level students alike, Quantum Computing Explained delivers the fundamentals of quantum computing readers need to be able to understand current research papers and go on to study more advanced quantum texts.

Introduction to Quantum Computing

Author : Ray LaPierre
Publisher : Springer Nature
Page : 369 pages
File Size : 41,6 Mb
Release : 2021-09-27
Category : Science
ISBN : 9783030693183

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Introduction to Quantum Computing by Ray LaPierre Pdf

This book provides a self-contained undergraduate course on quantum computing based on classroom-tested lecture notes. It reviews the fundamentals of quantum mechanics from the double-slit experiment to entanglement, before progressing to the basics of qubits, quantum gates, quantum circuits, quantum key distribution, and some of the famous quantum algorithms. As well as covering quantum gates in depth, it also describes promising platforms for their physical implementation, along with error correction, and topological quantum computing. With quantum computing expanding rapidly in the private sector, understanding quantum computing has never been so important for graduates entering the workplace or PhD programs. Assuming minimal background knowledge, this book is highly accessible, with rigorous step-by-step explanations of the principles behind quantum computation, further reading, and end-of-chapter exercises, ensuring that undergraduate students in physics and engineering emerge well prepared for the future.

Quantum Computing

Author : National Academies of Sciences, Engineering, and Medicine,Division on Engineering and Physical Sciences,Intelligence Community Studies Board,Computer Science and Telecommunications Board,Committee on Technical Assessment of the Feasibility and Implications of Quantum Computing
Publisher : National Academies Press
Page : 273 pages
File Size : 54,6 Mb
Release : 2019-04-27
Category : Computers
ISBN : 9780309479691

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Quantum Computing by National Academies of Sciences, Engineering, and Medicine,Division on Engineering and Physical Sciences,Intelligence Community Studies Board,Computer Science and Telecommunications Board,Committee on Technical Assessment of the Feasibility and Implications of Quantum Computing Pdf

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 Computing Since Democritus

Author : Scott Aaronson
Publisher : Cambridge University Press
Page : 403 pages
File Size : 54,9 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9780521199568

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Quantum Computing Since Democritus by Scott Aaronson Pdf

Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.

Frontiers of Engineering

Author : National Academy of Engineering
Publisher : National Academies Press
Page : 125 pages
File Size : 49,5 Mb
Release : 2019-02-28
Category : Technology & Engineering
ISBN : 9780309487504

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Frontiers of Engineering by National Academy of Engineering Pdf

This volume presents papers on the topics covered at the National Academy of Engineering's 2018 US Frontiers of Engineering Symposium. Every year the symposium brings together 100 outstanding young leaders in engineering to share their cutting-edge research and innovations in selected areas. The 2018 symposium was held September 5-7 and hosted by MIT Lincoln Laboratory in Lexington, Massachusetts. The intent of this book is to convey the excitement of this unique meeting and to highlight innovative developments in engineering research and technical work.

An Introduction to Quantum Computing

Author : Phillip Kaye,Raymond Laflamme,Michele Mosca
Publisher : Oxford University Press on Demand
Page : 287 pages
File Size : 42,5 Mb
Release : 2007
Category : Computers
ISBN : 9780198570004

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An Introduction to Quantum Computing by Phillip Kaye,Raymond Laflamme,Michele Mosca Pdf

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.

Explorations in Quantum Computing

Author : Colin P. Williams
Publisher : Springer Science & Business Media
Page : 724 pages
File Size : 45,9 Mb
Release : 2010-12-07
Category : Computers
ISBN : 9781846288876

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Explorations in Quantum Computing by Colin P. Williams Pdf

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.

Elements of Quantum Computation and Quantum Communication

Author : Anirban Pathak
Publisher : Taylor & Francis
Page : 340 pages
File Size : 43,7 Mb
Release : 2013-06-20
Category : Mathematics
ISBN : 9781466517929

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Elements of Quantum Computation and Quantum Communication by Anirban Pathak Pdf

While there are many available textbooks on quantum information theory, most are either too technical for beginners or not complete enough. Filling this gap, Elements of Quantum Computation and Quantum Communication gives a clear, self-contained introduction to quantum computation and communication. Written primarily for undergraduate students in p