Quantum Computers Algorithms And Chaos

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Quantum Computers, Algorithms, and Chaos

Author : Giulio Casati,Dima L. Shepelyansky,Peter Zoller,Giuliano Benenti
Publisher : IOS Press
Page : 650 pages
File Size : 42,7 Mb
Release : 2006
Category : Computers
ISBN : 1586036602

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Quantum Computers, Algorithms, and Chaos by Giulio Casati,Dima L. Shepelyansky,Peter Zoller,Giuliano Benenti Pdf

Quantum Information Processing and Communication (QIPC) has the potential to revolutionize many areas of science and technology. This book covers the following topics: introduction to quantum computing; quantum logic, information and entanglement; quantum algorithms; error-correcting codes for quantum computations; quantum communication; and more."

An Introduction to Quantum Computing Algorithms

Author : Arthur O. Pittenger
Publisher : Springer Science & Business Media
Page : 149 pages
File Size : 43,8 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781461213901

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An Introduction to Quantum Computing Algorithms by Arthur O. Pittenger Pdf

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 Computer Science

Author : Marco Lanzagorta,Jeffrey K. Uhlmann
Publisher : Morgan & Claypool Publishers
Page : 125 pages
File Size : 55,9 Mb
Release : 2009
Category : Algorithms
ISBN : 9781598297324

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Quantum Computer Science by Marco Lanzagorta,Jeffrey K. Uhlmann Pdf

In this text we present a technical overview of the emerging field of quantum computation along with new research results by the authors. What distinguishes our presentation from that of others is our focus on the relationship between quantum computation and computer science. Specifically, our emphasis is on the computational model of quantum computing rather than on the engineering issues associated with its physical implementation. We adopt this approach for the same reason that a book on computer programming doesn't cover the theory and physical realization of semiconductors. Another distinguishing feature of this text is our detailed discussion of the circuit complexity of quantum algorithms. To the extent possible we have presented the material in a form that is accessible to the computer scientist, but in many cases we retain the conventional physics notation so that the reader will also be able to consult the relevant quantum computing literature. Although we expect the reader to have a solid understanding of linear algebra, we do not assume a background in physics. This text is based on lectures given as short courses and invited presentations around the world, and it has been used as the primary text for a graduate course at George Mason University. In all these cases our challenge has been the same: how to present to a general audience a concise introduction to the algorithmic structure and applications of quantum computing on an extremely short period of time. The feedback from these courses and presentations has greatly aided in making our exposition of challenging concepts more accessible to a general audience. Table of Contents: Introduction / The Algorithmic Structure of Quantum Computing / Advantages and Limitations of Quantum Computing / Amplitude Amplification / Case Study: Computational Geometry / The Quantum Fourier Transform / Case Study: The Hidden Subgroup / Circuit Complexity Analysis of Quantum Algorithms / Conclusions / Bibliography

Introduction to Quantum Computers

Author : Gennady P. Berman
Publisher : World Scientific
Page : 200 pages
File Size : 45,5 Mb
Release : 1998
Category : Computers
ISBN : 9810235496

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Introduction to Quantum Computers by Gennady P. Berman Pdf

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.

Quantum Computer Systems: Research for Noisy Intermediate-Scale Quantum Computers

Author : Yongshan Ding,Frederic T. Chong
Publisher : Morgan & Claypool Publishers
Page : 229 pages
File Size : 48,6 Mb
Release : 2020-06-17
Category : Computers
ISBN : 9781681738673

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Quantum Computer Systems: Research for Noisy Intermediate-Scale Quantum Computers by Yongshan Ding,Frederic T. Chong Pdf

This book targets computer scientists and engineers who are familiar with concepts in classical computer systems but are curious to learn the general architecture of quantum computing systems. It gives a concise presentation of this new paradigm of computing from a computer systems' point of view without assuming any background in quantum mechanics. As such, it is divided into two parts. The first part of the book provides a gentle overview on the fundamental principles of the quantum theory and their implications for computing. The second part is devoted to state-of-the-art research in designing practical quantum programs, building a scalable software systems stack, and controlling quantum hardware components. Most chapters end with a summary and an outlook for future directions. This book celebrates the remarkable progress that scientists across disciplines have made in the past decades and reveals what roles computer scientists and engineers can play to enable practical-scale quantum computing.

Quantum Computing

Author : Eleanor G. Rieffel,Wolfgang H. Polak
Publisher : MIT Press
Page : 389 pages
File Size : 49,6 Mb
Release : 2014-08-29
Category : Computers
ISBN : 9780262526678

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Quantum Computing by Eleanor G. Rieffel,Wolfgang H. Polak Pdf

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

Author : Brian Clegg
Publisher : Icon Books
Page : 177 pages
File Size : 42,8 Mb
Release : 2021-05-06
Category : Science
ISBN : 9781785787089

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Quantum Computing by Brian Clegg Pdf

The ultimate non-technical guide to the fast-developing world of quantum computing Computer technology has improved exponentially over the last 50 years. But the headroom for bigger and better electronic solutions is running out. Our best hope is to engage the power of quantum physics. 'Quantum algorithms' had already been written long before hardware was built. These would enable, for example, a quantum computer to exponentially speed up an information search, or to crack the mathematical trick behind internet security. However, making a quantum computer is incredibly difficult. Despite hundreds of laboratories around the world working on them, we are only just seeing them come close to 'supremacy' where they can outperform a traditional computer. In this approachable introduction, Brian Clegg explains algorithms and their quantum counterparts, explores the physical building blocks and quantum weirdness necessary to make a quantum computer, and uncovers the capabilities of the current generation of machines.

Quantum Computing

Author : National Academies of Sciences, Engineering, and Medicine,Division on Engineering and Physical Sciences,Intelligence Community Studies Board,Computer Science and Telecommunications Board,Committee on Technical Assessment of the Feasibility and Implications of Quantum Computing
Publisher : National Academies Press
Page : 273 pages
File Size : 47,5 Mb
Release : 2019-03-27
Category : Computers
ISBN : 9780309479721

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Quantum Computing by National Academies of Sciences, Engineering, and Medicine,Division on Engineering and Physical Sciences,Intelligence Community Studies Board,Computer Science and Telecommunications Board,Committee on Technical Assessment of the Feasibility and Implications of Quantum Computing Pdf

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 Computers

Author : Belal Ehsan Baaquie,Leong-Chuan Kwek
Publisher : Springer Nature
Page : 297 pages
File Size : 53,8 Mb
Release : 2023-01-03
Category : Science
ISBN : 9789811975172

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Quantum Computers by Belal Ehsan Baaquie,Leong-Chuan Kwek Pdf

This book presents various theories and algorithms to create a quantum computer. The concept of the classical and quantum computers, and the concept of circuits and gates are reviewed. The example of the Deutsch and the Deutsch-Josca algorithm is discussed to illustrate some key features of quantum computing. The Grover algorithm, considered to be of major milestone of the subject, is discussed in detail to exemplify the techniques used in computer algorithms. The role of quantum superposition (also called quantum parallelism) and of quantum entanglement is discussed in order to understand the key advantages of a quantum over a classical computer.

Explorations in Quantum Computing

Author : Colin P. Williams
Publisher : Springer Science & Business Media
Page : 724 pages
File Size : 48,7 Mb
Release : 2010-12-07
Category : Computers
ISBN : 9781846288876

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Explorations in Quantum Computing by Colin P. Williams Pdf

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.

Quantum Computing from the Ground Up

Author : Riley Tipton Perry
Publisher : World Scientific Publishing Company
Page : 256 pages
File Size : 46,9 Mb
Release : 2012-07-11
Category : Science
ISBN : 9789814412131

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Quantum Computing from the Ground Up by Riley Tipton Perry Pdf

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

Quantum Computing

Author : Nihal Mehta Ph.D.
Publisher : Pragmatic Bookshelf
Page : 753 pages
File Size : 40,8 Mb
Release : 2020-08-26
Category : Computers
ISBN : 9781680508093

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Quantum Computing by Nihal Mehta Ph.D. Pdf

You've heard that quantum computing is going to change the world. Now you can check it out for yourself. Learn how quantum computing works, and write programs that run on the IBM Q quantum computer, one of the world's first functioning quantum computers. Learn a simple way to apply quantum mechanics to computer programming. Create algorithms to solve intractable problems for classical computers, and discover how to explore the entire problem space at once to determine the optimal solution. Get your hands on the future of computing today. Quantum computing overhauls computer science. Problems such as designing life-saving drugs and super-large logistics problems that have been difficult or impossible for classical computers to handle can now be solved in moments. Quantum computing makes it possible to explore all possible solutions simultaneously and determine those that work, instead of iterating through each possibility sequentially. Work with quantum computers directly, instead of talking about them theoretically. Discover a new visual way of looking at quantum bits that makes quantum computing intuitive for computer programmers. Master the special properties that make them different, and more powerful, than classical bits. Control quantum bits with gates and create circuits to model complex problems. Write programs that run on real quantum machines to solve problems that classical computers struggle with. Dive into quantum optimization and cryptography. Get a head start on the technology that will drive computer science into the future. What You Need: Access to the IBM quantum computer, via any internet connection

Quantum Computing in Practice with Qiskit® and IBM Quantum Experience®

Author : Hassi Norlén
Publisher : Unknown
Page : 408 pages
File Size : 50,6 Mb
Release : 2020-11-20
Category : Computers
ISBN : 1838828443

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Quantum Computing in Practice with Qiskit® and IBM Quantum Experience® by Hassi Norlén Pdf

Understand the nuances of programming traditional quantum computers and solve the challenges of the future while building and executing quantum programs on IBM Quantum hardware and simulators Key Features Work your way up from writing a simple quantum program to programming complex quantum algorithms Explore the probabilistic nature of qubits by performing quantum coin tosses and using random number generators Delve into quantum algorithms and their practical applications in various domains Long Description IBM Quantum Experience(R) is a leading platform for programming quantum computers and implementing quantum solutions directly on the cloud. This book will help you get up to speed with programming quantum computers and provide solutions to the most common problems and challenges. You'll start with a high-level overview of IBM Quantum Experience(R) and Qiskit(R), where you will perform the installation while writing some basic quantum programs. This introduction puts less emphasis on the theoretical framework and more emphasis on recent developments such as Shor's algorithm and Grover's algorithm. Next, you'll delve into Qiskit(R), a quantum information science toolkit, and its constituent packages such as Terra, Aer, Ignis, and Aqua. You'll cover these packages in detail, exploring their benefits and use cases. Later, you'll discover various quantum gates that Qiskit(R) offers and even deconstruct a quantum program with their help, before going on to compare Noisy Intermediate-Scale Quantum (NISQ) and Universal Fault-Tolerant quantum computing using simulators and actual hardware. Finally, you'll explore quantum algorithms and understand how they differ from classical algorithms, along with learning how to use pre-packaged algorithms in Qiskit(R) Aqua. By the end of this quantum computing book, you'll be able to build and execute your own quantum programs using IBM Quantum Experience(R) and Qiskit(R) with Python. What You Will Learn Visualize a qubit in Python and understand the concept of superposition Install a local Qiskit(R) simulator and connect to actual quantum hardware Compose quantum programs at the level of circuits using Qiskit(R) Terra Compare and contrast Noisy Intermediate-Scale Quantum computing (NISQ) and Universal Fault-Tolerant quantum computing using simulators and IBM Quantum(R) hardware Mitigate noise in quantum circuits and systems using Qiskit(R) Ignis Understand the difference between classical and quantum algorithms by implementing Grover's algorithm in Qiskit(R) Who this book is for This book is for developers, data scientists, machine learning researchers, or quantum computing enthusiasts who want to understand how to use IBM Quantum Experience(R) and Qiskit(R) to implement quantum solutions and gain practical quantum computing experience. Python programming experience is a must to grasp the concepts covered in the book more effectively. Basic knowledge of quantum computing will also be beneficial.

An Introduction to Quantum Computing

Author : Anya Bindra
Publisher : Anya Bindra
Page : 66 pages
File Size : 54,6 Mb
Release : 2024-06-28
Category : Computers
ISBN : 8210379456XXX

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An Introduction to Quantum Computing by Anya Bindra Pdf

Quantum computing is an emerging technology with the power to bring new breakthroughs in the fields of science, and can complement and make existing technologies such as machine learning more powerful. Today, there are certain challenges that classical computing is not able to solve such as the factoring integers problem which is considered an NP problem, but can easily be cracked using Shor’s algorithm. In this textbook, we will explore how quantum computers use the principles of superposition and entanglement as their foundations and harness the power of Bloch Spheres to represent states of a qubit. An introduction to quantum computing with Qiskit begins with developing the linear algebra and quantum mechanics that are key to understanding quantum computing. Then the basics of coding quantum circuits and quantum logic gates will be introduced, and several exciting algorithms such as quantum cryptography algorithms will be implemented on Qiskit(Quantum Information Science Kit).

Quantum Computing in Action

Author : Johan Vos
Publisher : Simon and Schuster
Page : 262 pages
File Size : 52,9 Mb
Release : 2022-02-08
Category : Computers
ISBN : 9781617296321

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Quantum Computing in Action by Johan Vos Pdf

Quantum computing is on the horizon, ready to impact everything from scientific research to encryption and security. But you don't need a physics degree to get started in quantum computing. Quantum Computing for Developers shows you how to leverage your existing Java skills into writing your first quantum software so you're ready for the revolution. Rather than a hardware manual or academic theory guide, this book is focused on practical implementations of quantum computing algorithms. Using Strange, a Java-based quantum computer simulator, you'll go hands-on with quantum computing's core components including qubits and quantum gates as you write your very first quantum code. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications.