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An Introduction to Quantum Computing

An Introduction to Quantum Computing Author Phillip Kaye
ISBN-10 UOM:39015066847412
Release 2007-01-18
Pages 274
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This concise, accessible introduction to quantum computing is aimed at advanced undergraduate and beginning graduate students from a variety of scientific backgrounds. The text is technically detailed and clearly illustrated throughout with diagrams and exercises.

An Introduction to Quantum Computing Algorithms

An Introduction to Quantum Computing Algorithms Author Arthur O. Pittenger
ISBN-10 9781461213901
Release 2012-12-06
Pages 140
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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 Computers

Introduction to Quantum Computers Author Gennady P. Berman
ISBN-10 9810235496
Release 1998
Pages 187
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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.

Introduction to Quantum Computation and Information

Introduction to Quantum Computation and Information Author Hoi-Kwong Lo
ISBN-10 9789814496353
Release 1998-10-15
Pages 364
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This book aims to provide a pedagogical introduction to the subjects of quantum information and quantum computation. Topics include non-locality of quantum mechanics, quantum computation, quantum cryptography, quantum error correction, fault-tolerant quantum computation as well as some experimental aspects of quantum computation and quantum cryptography. Only knowledge of basic quantum mechanics is assumed. Whenever more advanced concepts and techniques are used, they are introduced carefully. This book is meant to be a self-contained overview. While basic concepts are discussed in detail, unnecessary technical details are excluded. It is well-suited for a wide audience ranging from physics graduate students to advanced researchers. This book is based on a lecture series held at Hewlett-Packard Labs, Basic Research Institute in the Mathematical Sciences (BRIMS), Bristol from November 1996 to April 1997, and also includes other contributions. Contents:Basic Elements of Quantum Information Technology (T P Spiller)The Joy of Entanglement (S Popescu & D Rohrlich)Quantum Information and Its Properties (R Jozsa)Quantum Cryptology (H-K Lo)Experimental Quantum Cryptography (H Zbinden)Quantum Computation: An Introduction (A Barenco)Quantum Error Correction (A M Steane)Fault-Tolerant Quantum Computation (J Preskill)Quantum Computers, Error-Corrrection and Networking: Quantum Optical Approaches (T Pellizzari)Quantum Computation with Nuclear Magnetic Resonance (I L Chuang)Future Directions for Quantum Information Theory (C H Bennett) Readership: Graduate students and advanced researchers in quantum/classical mechanics, quantum information & computation, theoretical foundations of computer science and information science. Keywords:Quantum Computation;Quantum Cryptography;Quantum Information;Quantum Teleportation;Quantum Error-Correction;Quantum Algorithm;Entanglement;Qubit;DecoherenceReviews: “The book fills a gap between the turgid prose of the burgeoning research literature and the superficial accounts in the popular press.” Nature “The concepts introduced in this book and the forecast of future directions provided should continue to provide a good primer for the exciting breakthrough anticipated in this field.” Mathematics Abstracts “Despite its age, this book remains an excellent way to learn the basics of quantum information.” Quantum Information and Computation “… the expositions are generally very beautiful, and the drawing together of many fundamental issues in one place is something that is extremely useful, given the wide background of ideas that go into the field … this is an excellent book for anyone who is starting out in the field and would like to have an overview of what the key issues are, and which directions of research are important, without being bogged down by heavy detail.” Contemporary Physics

Introduction to Quantum Computation

Introduction to Quantum Computation Author Ioan Burda
ISBN-10 9781581124668
Release 2005
Pages 168
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"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 Computation and Information

Introduction to Quantum Computation and Information Author Hoi-Kwong Lo
ISBN-10 981024410X
Release 1998
Pages 348
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"The book fills a gap between the turgid prose of the burgeoning research literature and the superficial accounts in the popular press." Nature, 1999 "The concepts introduced in this book and the forecast of future directions provided should continue to provide a good primer for the exciting breakthrough anticipated in this field." Mathematics Abstracts, 2001 "Despite its age, this book remains an excellent way to learn the basics of quantum information." Quantum Information and Computation, 2002

A Short Introduction to Quantum Information and Quantum Computation

A Short Introduction to Quantum Information and Quantum Computation Author Michel Le Bellac
ISBN-10 1139457047
Release 2006-06-15
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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]

Quantum Computer Science

Quantum Computer Science Author N. David Mermin
ISBN-10 1139466801
Release 2007-08-30
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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.

The Feynman Processor

The Feynman Processor Author Gerard J. Milburn
ISBN-10 UOM:39015046503010
Release 1998
Pages 213
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Predicts that quantum computation will bypass conventional computers, and explains quantum entanglement, how quantum computers might work, and the possibility of teleportation

Quantum Computation and Quantum Information

Quantum Computation and Quantum Information Author Michael A. Nielsen
ISBN-10 9781139495486
Release 2010-12-09
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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.

Classical and Quantum Computation

Classical and Quantum Computation Author Alexei Yu. Kitaev
ISBN-10 9780821832295
Release 2002
Pages 257
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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 Computing Without Magic

Quantum Computing Without Magic Author Meglicki
ISBN-10 9780262260978
Release 2008-08-01
Pages 448
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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 for Computer Architects

Quantum Computing for Computer Architects Author Tzvetan S. Metodi
ISBN-10 9781608456192
Release 2011
Pages 189
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Quantum computation may seem to be a topic for science fiction, but small quantum computers have existed for several years and larger machines are on the drawing table. These efforts have been fueled by a tantalizing property: while conventional computers employ a binary representation that allows computational power to scale linearly with resources at best, quantum computations employ quantum phenomena that can interact to allow computational power that is exponential in the number of quantum bits in the system. Quantum devices rely on the ability to control and manipulate binary data stored in the phase information of quantum wave functions that describe the electronic states of individual atoms or the polarization states of photons. While existing quantum technologies are in their infancy, we shall see that it is not too early to consider scalability and reliability. In fact, such considerations are a critical link in the development chain of viable device technologies capable of orchestrating reliable control of tens of millions quantum bits in a large-scale system. The goal of this lecture is to provide architectural abstractions common to potential technologies and explore the systems-level challenges in achieving scalable, fault-tolerant quantum computation.

Quantum Computing

Quantum Computing Author Jozef Gruska
ISBN-10 UOM:39015047730125
Release 1999
Pages 439
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In quantum computing, we witness an exciting and very promising merge of two of the deepest and most successful scientific and technological developments of this century: quantum physics and computer science. The book takes a very broad view of quantum computing and information processing in general. It deals with such areas as quantum algorithms, automata, complexity theory, information and communication, cryptography and theoretical results. These include such topics as quantum error correcting codes and methods of quantum fault tolerance computing, which have made the vision of a real quantum computer come closer. No previous knowledge of quantum mechanics is required. The book is written as a self-study introduction to quantum computing and can be used for a one-semester course on quantum computing, especially for computer scientists. To meet this aim the book contains numerous examples, figures and exercises.

Quantum Computation

Quantum Computation Author Andreas de Vries
ISBN-10 9783844819274
Release 2012
Pages 220
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Quantum Computation has been writing in one form or another for most of life. You can find so many inspiration from Quantum Computation also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Quantum Computation book for free.

Mathematical Aspects of Quantum Computing 2007

Mathematical Aspects of Quantum Computing 2007 Author Mikio Nakahara
ISBN-10 9789812814487
Release 2008
Pages 222
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This book provides a comprehensive overview of the mathematical aspects of quantum computing. It will be useful for graduate students and researchers interested in quantum computing from different areas of physics, mathematics, informatics and computer science. The lecture notes in this volume are written in a self-contained style, and hence are accessible for graduate students and researchers with even less background in the topics. Sample Chapter(s). Quantum Computing: An Overview (804 KB). Contents: Quantum Computing: An Overview (M Nakahara); Braid Group and Topological Quantum Computing (T Ootsuka & K Sakuma); An Introduction to Entanglement Theory (D J H Markham); Holonomic Quantum Computing and Its Optimization (S Tanimura et al.); Playing Games in Quantum Mechanical Settings: Features of Quantum Games (u K uzdemir et al.); Quantum Error-Correcting Codes (M Hagiwara); Controled Teleportation of an Arbitrary Unknown Two-Qubit Entangled State (V Ebrahimi et al.); Notes on the Dr-Cirac Classification (Y Ota et al.); Bang-Bang Control of Entanglement in Spin-Bus-Boson Model (R Rahimi et al.); Numerical Computation of Time-Dependent Multipartite Nonclassical Correlation (A SaiToh et al.); On Classical No-Cloning Theorem Under Liouville Dynamics and Distances (T Yamano & O Iguchi). Readership: Advanced undergraduate students, graduate students and researchers in physics, mathematics, informatics and computer science.

Computing with Cells and Atoms

Computing with Cells and Atoms Author Cris Calude
ISBN-10 0748408991
Release 2000-10-26
Pages 320
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At the turning of the millennium, a switch in computing technology is forecasted and looked for. Two main directions of research, both based on quite unconventional ideas are most promising - quantum computing and molecular computing. In the last few years, both of these methods have been intensely investigated. The present book is the first "friendly" presentation of basic ideas in these exciting areas. The style is rigorous, but without entering into excessive technicalities. Equal attention is paid to the main practical results reported so far and the main theoretical developments. The book is written for the educated layman and is self-contained, including all the necessary facts from mathematics, computer science, biology and quantum mechanics.