Classical and Quantum Computation

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832298
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Classical and Quantum Computation by : Alexei Yu. Kitaev

Download or read book Classical and Quantum Computation written by Alexei Yu. Kitaev and published by American Mathematical Soc.. This book was released on 2002 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Computation and Quantum Information

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Author :
Publisher : Cambridge University Press
ISBN 13 : 1139495488
Total Pages : 709 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Quantum Computation and Quantum Information by : Michael A. Nielsen

Download or read book Quantum Computation and Quantum Information written by Michael A. Nielsen and published by Cambridge University Press. This book was released on 2010-12-09 with total page 709 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Computing

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Publisher : MIT Press
ISBN 13 : 0262526670
Total Pages : 389 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Quantum Computing by : Eleanor G. Rieffel

Download or read book Quantum Computing written by Eleanor G. Rieffel and published by MIT Press. This book was released on 2014-08-29 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough exposition of quantum computing and the underlying concepts of quantum physics, with explanations of the relevant mathematics and numerous examples. The combination of two of the twentieth century's most influential and revolutionary scientific theories, information theory and quantum mechanics, gave rise to a radically new view of computing and information. Quantum information processing explores the implications of using quantum mechanics instead of classical mechanics to model information and its processing. Quantum computing is not about changing the physical substrate on which computation is done from classical to quantum but about changing the notion of computation itself, at the most basic level. The fundamental unit of computation is no longer the bit but the quantum bit or qubit. This comprehensive introduction to the field offers a thorough exposition of quantum computing and the underlying concepts of quantum physics, explaining all the relevant mathematics and offering numerous examples. With its careful development of concepts and thorough explanations, the book makes quantum computing accessible to students and professionals in mathematics, computer science, and engineering. A reader with no prior knowledge of quantum physics (but with sufficient knowledge of linear algebra) will be able to gain a fluent understanding by working through the book.

Quantum Computing Since Democritus

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Publisher : Cambridge University Press
ISBN 13 : 0521199565
Total Pages : 403 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis Quantum Computing Since Democritus by : Scott Aaronson

Download or read book Quantum Computing Since Democritus written by Scott Aaronson and published by Cambridge University Press. This book was released on 2013-03-14 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.

Introduction to Topological Quantum Computation

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Publisher : Cambridge University Press
ISBN 13 : 1139936689
Total Pages : 220 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Introduction to Topological Quantum Computation by : Jiannis K. Pachos

Download or read book Introduction to Topological Quantum Computation written by Jiannis K. Pachos and published by Cambridge University Press. This book was released on 2012-04-12 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combining physics, mathematics and computer science, topological quantum computation is a rapidly expanding research area focused on the exploration of quantum evolutions that are immune to errors. In this book, the author presents a variety of different topics developed together for the first time, forming an excellent introduction to topological quantum computation. The makings of anyonic systems, their properties and their computational power are presented in a pedagogical way. Relevant calculations are fully explained, and numerous worked examples and exercises support and aid understanding. Special emphasis is given to the motivation and physical intuition behind every mathematical concept. Demystifying difficult topics by using accessible language, this book has broad appeal and is ideal for graduate students and researchers from various disciplines who want to get into this new and exciting research field.

Quantum Computing for Everyone

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Publisher : MIT Press
ISBN 13 : 0262539535
Total Pages : 214 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Quantum Computing for Everyone by : Chris Bernhardt

Download or read book Quantum Computing for Everyone written by Chris Bernhardt and published by MIT Press. This book was released on 2020-09-08 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics of Quantum Computation

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Publisher : CRC Press
ISBN 13 : 1420035371
Total Pages : 448 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Mathematics of Quantum Computation by : Ranee K. Brylinski

Download or read book Mathematics of Quantum Computation written by Ranee K. Brylinski and published by CRC Press. This book was released on 2002-02-14 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 scientists, mathematicians, and physicists to provide the first interdisciplinary but mathematically focused exploration of the field's foundations and state of the art. Each section of the book addresses an area of major research, and does so with introductory material that brings newcomers quickly up to speed. Chapters that are more advanced include recent developments not yet published in the open literature. Information technology will inevitably enter into the realm of quantum mechanics, and, more than all the atomic, molecular, optical, and nanotechnology advances, it is the device-independent mathematics that is the foundation of quantum computer and information science. Mathematics of Quantum Computation offers the first up-to-date coverage that has the technical depth and breadth needed by those interested in the challenges being confronted at the frontiers of research.

Mathematics of Quantum Computing

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Author :
Publisher : Springer Nature
ISBN 13 : 3030123588
Total Pages : 764 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Mathematics of Quantum Computing by : Wolfgang Scherer

Download or read book Mathematics of Quantum Computing written by Wolfgang Scherer and published by Springer Nature. This book was released on 2019-11-13 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the elementary aspects of quantum computing in a mathematical form. It is intended as core or supplementary reading for physicists, mathematicians, and computer scientists taking a first course on quantum computing. It starts by introducing the basic mathematics required for quantum mechanics, and then goes on to present, in detail, the notions of quantum mechanics, entanglement, quantum gates, and quantum algorithms, of which Shor's factorisation and Grover's search algorithm are discussed extensively. In addition, the algorithms for the Abelian Hidden Subgroup and Discrete Logarithm problems are presented and the latter is used to show how the Bitcoin digital signature may be compromised. It also addresses the problem of error correction as well as giving a detailed exposition of adiabatic quantum computing. The book contains around 140 exercises for the student, covering all of the topics treated, together with an appendix of solutions.

An Introduction to Quantum Computing Algorithms

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461213908
Total Pages : 149 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to Quantum Computing Algorithms by : Arthur O. Pittenger

Download or read book An Introduction to Quantum Computing Algorithms written by Arthur O. Pittenger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Quantum Computing

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Publisher : Oxford University Press on Demand
ISBN 13 : 0198570007
Total Pages : 287 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis An Introduction to Quantum Computing by : Phillip Kaye

Download or read book An Introduction to Quantum Computing written by Phillip Kaye and published by Oxford University Press on Demand. This book was released on 2007 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Publisher : National Academies Press
ISBN 13 : 030947969X
Total Pages : 273 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Quantum Computing by : National Academies of Sciences, Engineering, and Medicine

Download or read book Quantum Computing written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2019-04-27 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: An Applied Approach

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Publisher : Springer Nature
ISBN 13 : 3030832740
Total Pages : 422 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Quantum Computing: An Applied Approach by : Jack D. Hidary

Download or read book Quantum Computing: An Applied Approach written by Jack D. Hidary and published by Springer Nature. This book was released on 2021-09-29 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book integrates the foundations of quantum computing with a hands-on coding approach to this emerging field; it is the first to bring these elements together in an updated manner. This work is suitable for both academic coursework and corporate technical training. The second edition includes extensive updates and revisions, both to textual content and to the code. Sections have been added on quantum machine learning, quantum error correction, Dirac notation and more. This new edition benefits from the input of the many faculty, students, corporate engineering teams, and independent readers who have used the first edition. This volume comprises three books under one cover: Part I outlines the necessary foundations of quantum computing and quantum circuits. Part II walks through the canon of quantum computing algorithms and provides code on a range of quantum computing methods in current use. Part III covers the mathematical toolkit required to master quantum computing. Additional resources include a table of operators and circuit elements and a companion GitHub site providing code and updates. Jack D. Hidary is a research scientist in quantum computing and in AI at Alphabet X, formerly Google X.

Quantum Computing for the Quantum Curious

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Publisher : Springer Nature
ISBN 13 : 3030616010
Total Pages : 159 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Quantum Computing for the Quantum Curious by : Ciaran Hughes

Download or read book Quantum Computing for the Quantum Curious written by Ciaran Hughes and published by Springer Nature. This book was released on 2021-03-22 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book makes quantum computing more accessible than ever before. A fast-growing field at the intersection of physics and computer science, quantum computing promises to have revolutionary capabilities far surpassing “classical” computation. Getting a grip on the science behind the hype can be tough: at its heart lies quantum mechanics, whose enigmatic concepts can be imposing for the novice. This classroom-tested textbook uses simple language, minimal math, and plenty of examples to explain the three key principles behind quantum computers: superposition, quantum measurement, and entanglement. It then goes on to explain how this quantum world opens up a whole new paradigm of computing. The book bridges the gap between popular science articles and advanced textbooks by making key ideas accessible with just high school physics as a prerequisite. Each unit is broken down into sections labelled by difficulty level, allowing the course to be tailored to the student’s experience of math and abstract reasoning. Problem sets and simulation-based labs of various levels reinforce the concepts described in the text and give the reader hands-on experience running quantum programs. This book can thus be used at the high school level after the AP or IB exams, in an extracurricular club, or as an independent project resource to give students a taste of what quantum computing is really about. At the college level, it can be used as a supplementary text to enhance a variety of courses in science and computing, or as a self-study guide for students who want to get ahead. Additionally, readers in business, finance, or industry will find it a quick and useful primer on the science behind computing’s future.

Quantum Computing

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Publisher : CRC Press
ISBN 13 : 1420012290
Total Pages : 439 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Quantum Computing by : Mikio Nakahara

Download or read book Quantum Computing written by Mikio Nakahara and published by CRC Press. This book was released on 2008-03-11 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both theory and progressive experiments, Quantum Computing: From Linear Algebra to Physical Realizations explains how and why superposition and entanglement provide the enormous computational power in quantum computing. This self-contained, classroom-tested book is divided into two sections, with the first devoted to the theoretical aspect

Quantum Computing Without Magic

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Publisher : MIT Press
ISBN 13 : 0262260972
Total Pages : 445 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Quantum Computing Without Magic by : Zdzislaw Meglicki

Download or read book Quantum Computing Without Magic written by Zdzislaw Meglicki and published by MIT Press. This book was released on 2008-08-01 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: How quantum computing is really done: a primer for future quantum device engineers. 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 Computation with Topological Codes

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Publisher : Springer
ISBN 13 : 981287996X
Total Pages : 138 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Quantum Computation with Topological Codes by : Keisuke Fujii

Download or read book Quantum Computation with Topological Codes written by Keisuke Fujii and published by Springer. This book was released on 2015-12-15 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a self-consistent review of quantum computation with topological quantum codes. The book covers everything required to understand topological fault-tolerant quantum computation, ranging from the definition of the surface code to topological quantum error correction and topological fault-tolerant operations. The underlying basic concepts and powerful tools, such as universal quantum computation, quantum algorithms, stabilizer formalism, and measurement-based quantum computation, are also introduced in a self-consistent way. The interdisciplinary fields between quantum information and other fields of physics such as condensed matter physics and statistical physics are also explored in terms of the topological quantum codes. This book thus provides the first comprehensive description of the whole picture of topological quantum codes and quantum computation with them.

Experimental Quantum Computation and Information

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Author :
Publisher : IOS Press
ISBN 13 : 1614990042
Total Pages : 562 pages
Book Rating : 4.6/5 (149 download)

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Book Synopsis Experimental Quantum Computation and Information by : F. de Martini

Download or read book Experimental Quantum Computation and Information written by F. de Martini and published by IOS Press. This book was released on 2003-02-12 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Fermi Summer School of Physics on "Experimental Quantum Information and Computing" represents a primer on one of the most intriguing and rapidly expanding new areas of physics. In this part, the interest in quantum information (QI) science is due to the discovery that a computer operating on quantum mechanical principles can solve certain important computational problems exponentially faster than any conceivable classical computer. But this interest is also due to the interdisciplinary nature of the field: the rapid growth is attributable, in part, to the stimulating confluence of researchers and ideas from physics, chemistry, mathematics, information theory, and computer science. Physics plays a paramount role in QI science, as we realize that computing is itself a physical process subject to physical laws. The incredible growth of classical computers and information processors in the 20th century stems from Turing's notion that a computer is independent of the physical device actually being used; be they relays, vacuum tubes, or semiconductor transistors. As we strive to build useful quantum information processors into the 21st century, we thus look for any physical system that obeys the laws of quantum mechanics, from single photons and atoms to quantum superconducting devices. These Fermi lectures take us on a journey through these and other promising current experimental candidates for QI processing, spanning quantum optics and laser physics, atomic and molecular physics, physical chemistry, and condensed-matter physics. While this broad coverage of experimental physics represents a challenge to the student, such an appreciation of these fields will be critical in the future success of quantum technology. Indeed, the most exciting feature of QI science is that the technology ultimately leading to a quantum processor is likely presently unknown.