Quantum Computation
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Quantum Computation And Quantum Information
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Author : Michael A. Nielsen
language : en
Publisher: Cambridge University Press
Release Date : 2010-12-09
Quantum Computation And Quantum Information written by Michael A. Nielsen 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 2010-12-09 with Science categories.
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 Computation And Quantum Communication
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Author : Mladen Pavicic
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-15
Quantum Computation And Quantum Communication written by Mladen Pavicic 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 2007-01-15 with Technology & Engineering categories.
The attraction of quantum computation and quantum communica tion theory and experiments hes in the fact that we engineer both them themselves and the quantum systems they treat. This approach has turned out to be very resiUent. Driven by the final goal of calculating exponentially faster and communicating infinitely more securely than we do today, as soon as we encounter a limitation in either a theory or experiment, a new idea around the no-go emerges. As soon as the decoherence "demon" threatened the first computation models, quan tum error correction theory was formulated and applied not only to computation theory but also to communication theory to make it un conditionally secure. As soon as liquid-state nuclear magnetic resonance experiments started to approach their limits, solid-based nuclear spin experiments—the Kane computer—came in. As soon as it was proved that it is theoretically impossible to completely distinguish photon Bell states, three new approaches appeared: hyperentanglement, the use of continuous variables, and the Knill-Laflamme-Milburn proposal. There are many more such examples. What facilitated all these breakthroughs is the fact that at the present stage of development of quantum computation and communication, we deal with elementary quantum systems consisting of several two-level systems. The complexity of handling and controlHng such simple sys tems in a laboratory has turned out to be tremendous, but the basic physical models we follow and calculate for the systems themselves are not equally intricate.
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.
Explorations In Quantum Computing
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Author : Colin P. Williams
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-12-07
Explorations In Quantum Computing written by Colin P. Williams 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 2010-12-07 with Computers categories.
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.
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.
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.
Quantum Computing For Everyone
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Author : Chris Bernhardt
language : en
Publisher: MIT Press
Release Date : 2020-09-08
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 2020-09-08 with Computers categories.
FOR NON-EXPERTS: Get an accessible introduction to quantum computing as a mathematician explains quantum algorithms, quantum entanglement, and more. Quantum computing is a beautiful fusion of quantum physics and computer science! Quantum computing incorporates some of the most stunning ideas from 20th-century physics into an entirely new way of thinking about computation. Here, Chris Bernhardt offers an introduction to quantum computing that is accessible to anyone comfortable with high school mathematics. A mathematician himself, Bernhardt simplifies the mathematics and provides elementary examples that illustrate both how the math works and what it means. He explains for the non-expert: • Quantum bits, or qubits—the basic unit of quantum computing • Quantum entanglement and what it means when qubits are entangled • Quantum cryptography • Classical computing topics like bits, gates, and logic • Quantum gates • Quantum algorithms and their speed • Quantum computers and how they’re built • And more! 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.
Mathematics Of Quantum Computation
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Author : Ranee K. Brylinski
language : en
Publisher: CRC Press
Release Date : 2002-02-14
Mathematics Of Quantum Computation written by Ranee K. Brylinski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-02-14 with Computers categories.
Among the most exciting developments in science today is the design and construction of the quantum computer. Its realization will be the result of multidisciplinary efforts, but ultimately, it is mathematics that lies at the heart of theoretical quantum computer science. Mathematics of Quantum Computation brings together leading computer sc
Capabilities And Limitations Of Quantum Computers
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Author : Umar Farooq
language : en
Publisher: GRIN Verlag
Release Date : 2014-04-29
Capabilities And Limitations Of Quantum Computers written by Umar Farooq and has been published by GRIN Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-29 with Computers categories.
Seminar paper from the year 2014 in the subject Computer Science - General, , course: Theory of Computation, language: English, abstract: Computers are evolving and growing for the last half a century. They are becoming smaller, faster and powerful but this growth has a limit. A new research has begun which will result in an entirely new kind of computer based on the Quantum physics rules. The quantum computer working on the Quantum physics rules will be able to break the security codes on which our modern computer infrastructure is running. The Quantum computers can solve many problems which are not solvable by the current computer systems. The large scale production of the quantum computers is near, which will result in many opportunities and every field of life will be affected.
Mathematics Of Quantum Computation And Quantum Technology
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Author : Louis Kauffman
language : en
Publisher: CRC Press
Release Date : 2007-09-19
Mathematics Of Quantum Computation And Quantum Technology written by Louis Kauffman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-19 with Mathematics categories.
Research and development in the pioneering field of quantum computing involve just about every facet of science and engineering, including the significant areas of mathematics and physics. Based on the firm understanding that mathematics and physics are equal partners in the continuing study of quantum science, Mathematics of Quantum Computation an