Quantum Computing

A Gentle Introduction

Author: Eleanor G. Rieffel,Wolfgang H. Polak

Publisher: MIT Press

ISBN: 0262015064

Category: Computers

Page: 372

View: 1456

A thorough exposition of quantum computing and the underlying concepts of quantum physics, with explanations of the relevant mathematics and numerous examples.

Quantum Computing Without Magic

Author: Meglicki

Publisher: MIT Press

ISBN: 0262260972

Category: Computers

Page: 448

View: 3224

This text offers an introduction to quantum computing, with a special emphasis on basic quantum physics, experiment, and quantum devices. Unlike many other texts, which tend to emphasize algorithms, Quantum Computing without Magic explains the requisite quantum physics in some depth, and then explains the devices themselves. It is a book for readers who, having already encountered quantum algorithms, may ask, "Yes, I can see how the algebra does the trick, but how can we actually do it?" By explaining the details in the context of the topics covered, this book strips the subject of the "magic" with which it is so often cloaked. Quantum Computing without Magic covers the essential probability calculus; the qubit, its physics, manipulation and measurement, and how it can be implemented using superconducting electronics; quaternions and density operator formalism; unitary formalism and its application to Berry phase manipulation; the biqubit, the mysteries of entanglement, nonlocality, separability, biqubit classification, and the Schroedinger's Cat paradox; the controlled-NOT gate, its applications and implementations; and classical analogs of quantum devices and quantum processes. Quantum Computing without Magic can be used as a complementary text for physics and electronic engineering undergraduates studying quantum computing and basic quantum mechanics, or as an introduction and guide for electronic engineers, mathematicians, computer scientists, or scholars in these fields who are interested in quantum computing and how it might fit into their research programs.

Quantum Computing Since Democritus

Author: Scott Aaronson

Publisher: Cambridge University Press

ISBN: 0521199565

Category: Computers

Page: 370

View: 6317

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

An Introduction to Quantum Computing

Author: Phillip Kaye,Raymond Laflamme,Michele Mosca

Publisher: Oxford University Press

ISBN: 0198570007

Category: Computers

Page: 274

View: 1345

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 from the Ground Up

Author: Riley Tipton Perry

Publisher: World Scientific Publishing Company

ISBN: 9814412139

Category: Science

Page: 256

View: 7933

Quantum computing — the application of quantum mechanics to information — represents a fundamental break from classical information and promises to dramatically increase a computer's power. Many difficult problems, such as the factorization of large numbers, have so far resisted attack by classical computers yet are easily solved with quantum computers. If they become feasible, quantum computers will end standard practices such as RSA encryption. Most of the books or papers on quantum computing require (or assume) prior knowledge of certain areas such as linear algebra or quantum mechanics. The majority of the currently-available literature is hard to understand for the average computer enthusiast or interested layman. This text attempts to teach quantum computing from the ground up in an easily readable way, providing a comprehensive tutorial that includes all the necessary mathematics, computer science and physics. Errata(s) Errata

Classical and Quantum Computation

Author: Alexei Yu. Kitaev,Alexander Shen,Mikhail N. Vyalyi

Publisher: American Mathematical Soc.

ISBN: 0821832298

Category: Mathematics

Page: 257

View: 8872

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.

Quantum Algorithms Via Linear Algebra

A Primer

Author: Richard J. Lipton,Kenneth W. Regan

Publisher: MIT Press

ISBN: 0262028395

Category: Science

Page: 208

View: 5923

Quantum computing explained in terms of elementary linear algebra, emphasizing computation and algorithms and requiring no background in physics.

Quantum Computing for Computer Scientists

Author: Noson S. Yanofsky,Mirco A. Mannucci

Publisher: Cambridge University Press

ISBN: 1139643908

Category: Computers

Page: N.A

View: 5538

The multidisciplinary field of quantum computing strives to exploit some of the uncanny aspects of quantum mechanics to expand our computational horizons. Quantum Computing for Computer Scientists takes readers on a tour of this fascinating area of cutting-edge research. Written in an accessible yet rigorous fashion, this book employs ideas and techniques familiar to every student of computer science. The reader is not expected to have any advanced mathematics or physics background. After presenting the necessary prerequisites, the material is organized to look at different aspects of quantum computing from the specific standpoint of computer science. There are chapters on computer architecture, algorithms, programming languages, theoretical computer science, cryptography, information theory, and hardware. The text has step-by-step examples, more than two hundred exercises with solutions, and programming drills that bring the ideas of quantum computing alive for today's computer science students and researchers.

Quantum Computing Explained

Author: David McMahon

Publisher: John Wiley & Sons

ISBN: 9780470181362

Category: Technology & Engineering

Page: 420

View: 962

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.

Explorations in Quantum Computing

Author: Colin P. Williams

Publisher: Springer Science & Business Media

ISBN: 9781846288876

Category: Computers

Page: 717

View: 3955

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.

Introduction to Quantum Computation

Author: Ioan Burda

Publisher: Universal-Publishers

ISBN: 158112466X

Category: Computers

Page: 168

View: 2147

"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).

An Introduction to Quantum Computing Algorithms

Author: Arthur O. Pittenger

Publisher: Springer Science & Business Media

ISBN: 1461213908

Category: Computers

Page: 140

View: 6293

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 Computation and Quantum Information

10th Anniversary Edition

Author: Michael A. Nielsen,Isaac L. Chuang

Publisher: Cambridge University Press

ISBN: 1139495488

Category: Science

Page: N.A

View: 9632

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 Computer Science

An Introduction

Author: N. David Mermin

Publisher: Cambridge University Press

ISBN: 9781139466806

Category: Science

Page: N.A

View: 6683

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.

Quantum Mechanics for Scientists and Engineers

Author: David A. B. Miller

Publisher: Cambridge University Press

ISBN: 1139471279

Category: Technology & Engineering

Page: 574

View: 4420

If you need a book that relates the core principles of quantum mechanics to modern applications in engineering, physics, and nanotechnology, this is it. Students will appreciate the book's applied emphasis, which illustrates theoretical concepts with examples of nanostructured materials, optics, and semiconductor devices. The many worked examples and more than 160 homework problems help students to problem solve and to practise applications of theory. Without assuming a prior knowledge of high-level physics or classical mechanics, the text introduces Schrödinger's equation, operators, and approximation methods. Systems, including the hydrogen atom and crystalline materials, are analyzed in detail. More advanced subjects, such as density matrices, quantum optics, and quantum information, are also covered. Practical applications and algorithms for the computational analysis of simple structures make this an ideal introduction to quantum mechanics for students of engineering, physics, nanotechnology, and other disciplines. Additional resources available from www.cambridge.org/9780521897839.

Quantum Information Theory

Author: Mark M. Wilde

Publisher: Cambridge University Press

ISBN: 1316813304

Category: Computers

Page: N.A

View: 4939

Developing many of the major, exciting, pre- and post-millennium developments from the ground up, this book is an ideal entry point for graduate students into quantum information theory. Significant attention is given to quantum mechanics for quantum information theory, and careful studies of the important protocols of teleportation, superdense coding, and entanglement distribution are presented. In this new edition, readers can expect to find over 100 pages of new material, including detailed discussions of Bell's theorem, the CHSH game, Tsirelson's theorem, the axiomatic approach to quantum channels, the definition of the diamond norm and its interpretation, and a proof of the Choi–Kraus theorem. Discussion of the importance of the quantum dynamic capacity formula has been completely revised, and many new exercises and references have been added. This new edition will be welcomed by the upcoming generation of quantum information theorists and the already established community of classical information theorists.

Minds, Machines, and the Multiverse

THE QUEST FOR THE QUANTUM COMPUTER

Author: Julian Brown

Publisher: Simon and Schuster

ISBN: 0743242637

Category: Computers

Page: 400

View: 1494

The traditional and ubiquitous digital computer has changed the world by processing series of binary ones and zeroes...very fast. Like the sideshow juggler spinning plates on billiard cues, the classical computer moves fast enough to keep the plates from falling off. As computers become faster and faster, more and more plates are being added to more and more cues. Imagine, then, a computer in which speed is increased not because it runs faster, but because it has a limitless army of different jugglers, one for each billiard cue. Imagine the quantum computer. Julian Brown's record of the quest for the Holy Grail of computing -- a computer that could, in theory, take seconds to perform calculations that would take today's fastest supercomputers longer than the age of the universe -- is an extraordinary tale, populated by a remarkable cast of characters, including David Deutsch of Oxford University, who first announced the possibility of computation in the Alice-in-Wonderland world of quantum mechanics; Ed Fredkin, who developed a new kind of logic gate as a true step toward universal computation; and the legendary Richard Feynman, who reasoned from the inability to model quantum mechanics on a classical computer the logical inevitability of quantum computing. For, in the fuzzily indeterminate world of the quantum, new computing power is born. Minds, Machines, and the Multiverse details the remarkable uses for quantum computing in code breaking, for quantum computers will be able to crack many of the leading methods of protecting secret information, while offering new unbreakable codes. Quantum computers will also be able to model nuclear and subatomic reactions; offer insights into nanotechnology, teleportation, and time travel; and perhaps change the way chemists and biotechnologists design drugs and study the molecules of life. Farthest along the trail blazed by these pioneers is the ability to visualize the multiple realities of the quantum world not as a mathematical abstraction, but as a real map to a world of multiple universes...a multiverse where every possible event -- from a particular chess move to a comet striking the Earth -- not only can happen, but does. Incorporating lively explanations of ion trap gates, nuclear magnetic resonance computers, quantum dots, quantum algorithms, Fourier transforms, and puzzles of quantum physics, and illustrated with dozens of vivid diagrams, Minds, Machines, and the Multiverse is a mind-stretching look at the still-unbuilt but fascinating machines that, in the words of physicist Stanley Williams, "will reshape the face of science" and offer a new window into the secrets of an infinite number of potential universes.

An Overview of Quantum Computing

The State of the Art in Computers

Author: Paul F. Kisak

Publisher: Createspace Independent Publishing Platform

ISBN: 9781535296403

Category: Quantum computing

Page: 230

View: 1376

Quantum computing uses the phenomena of quantum mechanics to perform it's calculations. The computational speed would be orders of magnitude greater than present day digital computers that we have become used to using whether it be a large scale mainframe or a desktop, laptop, tablet or phone. The digital computer uses bits which are a binary form of utilizing information in one of two states - either a 1 or a 0. The quantum computer uses quantum bits or qbits which can utilize data in a variety of states due to the quantum mechanical principles of superposition and entanglement. These principles allow multiple states to exist at the same time in the qbit which is what allows the qbit to operate at a drastically higher efficiency than the digital computer. Currently the field of quantum computing is in the beginning stages but proof of concept has already taken place using a very small number of qbits. Given that this field will be a revolution in computing, the technological implications are nothing short of phenomenal. This book discusses the fundamentals and applications of quantum computing and is designed to be a reference and provide an overview of the topic and give the reader a structured knowledge to familiarize yourself with the topic at the most affordable price possible. The accuracy and knowledge is of an international viewpoint as the edited articles represent the inputs of many knowledgeable individuals and some of the most current knowledge on the topic, based on the date of publication.

Quantum Engineering

Theory and Design of Quantum Coherent Structures

Author: A. M. Zagoskin

Publisher: Cambridge University Press

ISBN: 1139495763

Category: Science

Page: N.A

View: 8709

Quantum engineering – the design and fabrication of quantum coherent structures – has emerged as a field in physics with important potential applications. This book provides a self-contained presentation of the theoretical methods and experimental results in quantum engineering. The book covers topics such as the quantum theory of electric circuits, theoretical methods of quantum optics in application to solid state circuits, the quantum theory of noise, decoherence and measurements, Landauer formalism for quantum transport, the physics of weak superconductivity and the physics of two-dimensional electron gas in semiconductor heterostructures. The theory is complemented by up-to-date experimental data to help put it into context. Aimed at graduate students in physics, the book will enable readers to start their own research and apply the theoretical methods and results to their current experimental situation.

Nanotechnology

Volume 6: Nanoprobes

Author: Harald Fuchs

Publisher: John Wiley & Sons

ISBN: 3527317333

Category: Technology & Engineering

Page: 388

View: 2604

The only reference book which discusses the usage of nanoprobes for structure determination, in an industry where miniaturisation is the main focus. Designed for newcomers as well as professionals already in the industry.