Classical And Quantum Computation
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Classical And Quantum Computation
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Author : Alexei Yu. Kitaev
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Classical And Quantum Computation written by Alexei Yu. Kitaev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.
This book is an introduction to a new rapidly developing theory of quantum computing. It 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. In concluding sections, several related topics are discussed (parallel quantum computation, a quantum analog of NP-completeness, and quantum error-correcting codes).Rapid development of quantum computing started in 1994 with a stunning suggestion by Peter Shor to use quantum computation for factoring large numbers - an extremely difficult and time-consuming problem when using a conventional computer. Shor's result spawned a burst of activity in designing new algorithms and in attempting to actually build quantum computers. Currently, the progress is much more significant in the former: a sound theoretical basis of quantum computing is under development and many algorithms have been suggested.In this concise text, the authors provide solid foundations to the theory - in particular, a careful analysis of the quantum circuit model - and cover selected topics in depth. Included are a complete proof of the Solovay-Kitaev theorem with accurate algorithm complexity bounds, approximation of unitary operators by circuits of doubly logarithmic depth. Among other interesting topics are toric codes and their relation to the anyon approach to quantum computing. Prerequisites are very modest and include linear algebra, elements of group theory and probability, and the notion of a formal or an intuitive algorithm. This text is suitable for a course in quantum computation for graduate students in mathematics, physics, or computer science. More than 100 problems (most of them with complete solutions) and an appendix summarizing the necessary results are a very useful addition to the book. It is available in both hardcover and softcover editions.
Classical And Quantum Information
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Author : Dan C. Marinescu
language : en
Publisher: Academic Press
Release Date : 2011-01-07
Classical And Quantum Information written by Dan C. Marinescu and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-07 with Mathematics categories.
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
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Author : Yorick Hardy
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-01
Classical And Quantum Computing written by Yorick Hardy 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 2001-11-01 with Science categories.
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.
Classical And Quantum Computing With C And Java Simulations
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Author : Yorick Hardy
language : en
Publisher: Birkhauser
Release Date : 2001-01-01
Classical And Quantum Computing With C And Java Simulations written by Yorick Hardy and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Computers categories.
Computers Classical Quantum And Others
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Author : Sergey P. Suprun
language : en
Publisher: Bentham Science Publishers
Release Date : 2012
Computers Classical Quantum And Others written by Sergey P. Suprun and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Science categories.
This volume elaborates upon functioning of a quantum computer and the analysis of mind phenomenon in a natural scientific paradigm. Many outstanding physicists - Bohr, Heisenberg et al.- considered that many aspects of quantum physics could be understood considering the laws of perception, linguistics and semiotics within the world's semiotic description. An analysis of would-be scientific theories and paradoxes connected with a number of unformulated statements regarding initial information is therefore presented. These, in turn, could be used to draw algorithms that generate a picture of reality in the human mind. The e-book also attempts to find out what is available to an observer from his/her standpoint (reference system), and from what theoretical standpoints that observation is developed. the initial point of this approach is recognizing that we are closed inside the semiotic system in which the 'universe' can only be presented to our mind. Such semiotic restrictions for translation of knowledge in any field are considered. This book is intended as a resource for senior students and researchers in natural sciences, scientific philosophy and contemporary psychology.
Principles Of Quantum Computation And Information Volume I Basic Concepts
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Author : Giuliano Benenti
language : en
Publisher: World Scientific
Release Date : 2004-04-16
Principles Of Quantum Computation And Information Volume I Basic Concepts written by Giuliano Benenti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-16 with Science categories.
Quantum computation and information is a new, rapidly developing interdisciplinary field. Therefore, it is not easy to understand its fundamental concepts and central results without facing numerous technical details. This book provides the reader a useful and not-too-heavy guide. It offers a simple and self-contained introduction; no previous knowledge of quantum mechanics or classical computation is required.Volume I may be used as a textbook for a one-semester introductory course in quantum information and computation, both for upper-level undergraduate students and for graduate students. It contains a large number of solved exercises, which are an essential complement to the text, as they will help the student to become familiar with the subject. The book may also be useful as general education for readers who want to know the fundamental principles of quantum information and computation and who have the basic background acquired from their undergraduate course in physics, mathematics, or computer science.
General Theory Of Information Transfer And Combinatorics
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Author : Rudolf Ahlswede
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-12-14
General Theory Of Information Transfer And Combinatorics written by Rudolf Ahlswede 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 2006-12-14 with Computers categories.
This book collects 63 revised, full-papers contributed to a research project on the "General Theory of Information Transfer and Combinatorics" that was hosted from 2001-2004 at the Center for Interdisciplinary Research (ZIF) of Bielefeld University and several incorporated meetings. Topics covered include probabilistic models, cryptology, pseudo random sequences, quantum models, pattern discovery, language evolution, and network coding.
Classical And Quantum Information Theory
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Author : Emmanuel Desurvire
language : en
Publisher: Cambridge University Press
Release Date : 2009
Classical And Quantum Information Theory written by Emmanuel Desurvire 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 2009 with Information measurement categories.
Information theory lies at the heart of modern technology, underpinning all communications, networking, and data storage systems. This book sets out, for the first time, a complete overview of both classical and quantum information theory. Throughout, the reader is introduced to key results without becoming lost in mathematical details. Opening chapters present the basic concepts and various applications of Shannon’s entropy, moving on to the core features of quantum information and quantum computing. Topics such as coding, compression, error-correction, cryptography and channel capacity are covered from classical and quantum viewpoints. Employing an informal yet scientifically accurate approach, Desurvire provides the reader with the knowledge to understand quantum gates and circuits. Highly illustrated, with numerous practical examples and end-of-chapter exercises, this text is ideal for graduate students and researchers in electrical engineering and computer science, and practitioners in the telecommunications industry
Quantum Computing From The Ground Up
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Author : Riley Tipton Perry
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-07-11
Quantum Computing From The Ground Up written by Riley Tipton Perry and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-11 with Science categories.
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.
Quantum Computing For Computer Architects
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Author : Tzvetan S. Metodi
language : en
Publisher: Springer Nature
Release Date : 2022-12-06
Quantum Computing For Computer Architects written by Tzvetan S. Metodi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-06 with Technology & Engineering categories.
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 oforchestrating 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 systemslevel challenges in achieving scalable, fault-tolerant quantum computation. The central premise of the lecture is directed at quantum computation (QC) architectural issues. We stress the fact that the basic tenet of large-scale quantum computing is reliability through system balance: the need to protect and control the quantum information just long enough for the algorithm to complete execution. To architectQCsystems, onemust understand what it takes to design and model a balanced, fault-tolerant quantum architecture just as the concept of balance drives conventional architectural design. For example, the register file depth in classical computers is matched to the number of functional units, the memory bandwidth to the cache miss rate, or the interconnect bandwidth matched to the compute power of each element of a multiprocessor. We provide an engineering-oriented introduction to quantum computation and provide an architectural case study based upon experimental data and future projection for ion-trap technology.We apply the concept of balance to the design of a quantum computer, creating an architecture model that balances both quantum and classical resources in terms of exploitable parallelism in quantum applications. From this framework, we also discuss the many open issues remaining in designing systems to perform quantum computation.