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Quantum Computers, Algorithms, and Chaos

Author: Giulio Casati

Publisher: IOS Press

Published: 2006

Total Pages: 650

ISBN-13: 9781586036607

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

Published: 2012-12-06

Total Pages: 149

ISBN-13: 1461213908

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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.

Quantum Computing

Author: Brian Clegg

Publisher: Icon Books

Published: 2021-05-06

Total Pages: 177

ISBN-13: 178578708X

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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 for Everyone

Author: Chris Bernhardt

Publisher: MIT Press

Published: 2019-03-19

Total Pages: 214

ISBN-13: 0262039257

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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.

Learn Quantum Computing with Python and Q#

Author: Sarah C. Kaiser

Publisher: Simon and Schuster

Published: 2021-07-27

Total Pages: 545

ISBN-13: 1638350906

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Learn Quantum Computing with Python and Q# introduces quantum computing from a practical perspective. Summary Learn Quantum Computing with Python and Q# demystifies quantum computing. Using Python and the new quantum programming language Q#, you’ll build your own quantum simulator and apply quantum programming techniques to real-world examples including cryptography and chemical analysis. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Quantum computers present a radical leap in speed and computing power. Improved scientific simulations and new frontiers in cryptography that are impossible with classical computing may soon be in reach. Microsoft’s Quantum Development Kit and the Q# language give you the tools to experiment with quantum computing without knowing advanced math or theoretical physics. About the book Learn Quantum Computing with Python and Q# introduces quantum computing from a practical perspective. Use Python to build your own quantum simulator and take advantage of Microsoft’s open source tools to fine-tune quantum algorithms. The authors explain complex math and theory through stories, visuals, and games. You’ll learn to apply quantum to real-world applications, such as sending secret messages and solving chemistry problems. What's inside The underlying mechanics of quantum computers Simulating qubits in Python Exploring quantum algorithms with Q# Applying quantum computing to chemistry, arithmetic, and data About the reader For software developers. No prior experience with quantum computing required. About the author Dr. Sarah Kaiser works at the Unitary Fund, a non-profit organization supporting the quantum open-source ecosystem, and is an expert in building quantum tech in the lab. Dr. Christopher Granade works in the Quantum Systems group at Microsoft, and is an expert in characterizing quantum devices. Table of Contents PART 1 GETTING STARTED WITH QUANTUM 1 Introducing quantum computing 2 Qubits: The building blocks 3 Sharing secrets with quantum key distribution 4 Nonlocal games: Working with multiple qubits 5 Nonlocal games: Implementing a multi-qubit simulator 6 Teleportation and entanglement: Moving quantum data around PART 2 PROGRAMMING QUANTUM ALGORITHMS IN Q# 7 Changing the odds: An introduction to Q# 8 What is a quantum algorithm? 9 Quantum sensing: It’s not just a phase PART 3 APPLIED QUANTUM COMPUTING 10 Solving chemistry problems with quantum computers 11 Searching with quantum computers 12 Arithmetic with quantum computers

Introduction to Quantum Algorithms

Author: Johannes A. Buchmann

Publisher: American Mathematical Society

Published: 2024-03-18

Total Pages: 391

ISBN-13: 1470473984

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Quantum algorithms are among the most important, interesting, and promising innovations in information and communication technology. They pose a major threat to today's cybersecurity and at the same time promise great benefits by potentially solving previously intractable computational problems with reasonable effort. The theory of quantum algorithms is based on advanced concepts from computer science, mathematics, and physics. Introduction to Quantum Algorithms offers a mathematically precise exploration of these concepts, accessible to those with a basic mathematical university education, while also catering to more experienced readers. This comprehensive book is suitable for self-study or as a textbook for one- or two-semester introductory courses on quantum computing algorithms. Instructors can tailor their approach to emphasize theoretical understanding and proofs or practical applications of quantum algorithms, depending on the course's goals and timeframe.

Quantum Computing

Author: Rob Botwright

Publisher: Rob Botwright

Published: 101-01-01

Total Pages: 307

ISBN-13: 1839386312

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🌟 Explore the Future with the "Quantum Computing: Computer Science, Physics, and Mathematics" Book Bundle! 🌟 Are you ready to unlock the secrets of quantum computing and delve into the multidisciplinary world of computer science, physics, and mathematics? Look no further! Our exclusive bundle, consisting of four captivating books, is your ticket to the quantum frontier. 📚 Book 1: "Quantum Computing Demystified: A Beginner's Guide" 📚 Are you new to quantum computing? This beginner's guide will unravel the complex concepts and lay the foundation for your quantum journey. Dive into qubits, superposition, and quantum algorithms, and embark on a transformative exploration of quantum computing's limitless possibilities. 📚 Book 2: "Mastering Quantum Computing: A Comprehensive Guide for Intermediate Learners" 📚 Ready to take the next step? This comprehensive guide is tailored for intermediate learners, providing in-depth insights into advanced topics, quantum programming, and algorithm design. Elevate your skills and become a quantum computing virtuoso. 📚 Book 3: "Advanced Quantum Computing: Exploring the Frontiers of Computer Science, Physics, and Mathematics" 📚 Step into the cutting-edge world of quantum computing's frontiers. Delve into quantum error correction, cryptography, and simulations, and discover the complex challenges and captivating possibilities that await at the forefront of this transformative technology. 📚 Book 4: "Quantum Computing: A Multidisciplinary Approach for Experts" 📚 Quantum computing transcends disciplines, and this book proves it. Explore its multifaceted applications in computer science, physics, mathematics, and beyond. Recognize its potential to reshape industries and address global challenges. This book is a must-read for experts and visionaries. ✨ Why Choose This Bundle? ✨ 🚀 Comprehensive Learning: Our bundle offers a 360-degree view of quantum computing, catering to beginners and experts alike. 🎓 Multidisciplinary Insights: Explore the intersections of computer science, physics, mathematics, and quantum computing for innovative perspectives. 💡 Future-Ready: Quantum computing is at the forefront of technology. Equip yourself with the skills and knowledge that will shape the future. 📖 In-Depth Exploration: Dive deep into quantum mechanics, algorithms, error correction, and applications, unraveling the complexities along the way. 🌌 The quantum frontier awaits your exploration. This bundle is your key to unlocking the boundless potential of quantum computing while understanding its multidisciplinary impact. 🌟 Don't miss this opportunity to embark on a transformative journey into the future of technology! 🌟 Secure your "Quantum Computing: Computer Science, Physics, and Mathematics" book bundle today and prepare to be amazed by the endless possibilities of quantum computing. Elevate your skills, expand your knowledge, and become a quantum trailblazer! 🚀 Grab this bundle now and step into the quantum realm, where the future of computing, science, and mathematics converges! 🚀

Introduction to Quantum Computers

Author: Gennady P. Berman

Publisher: World Scientific

Published: 1998

Total Pages: 200

ISBN-13: 9789810235499

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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.

Examining Quantum Algorithms for Quantum Image Processing

Author: Li, HaiSheng

Publisher: IGI Global

Published: 2020-09-25

Total Pages: 336

ISBN-13: 1799838005

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An emerging interdisciplinary field of study in the realm of academia has been quantum computing and its various applications. The rapid rate of progress of this advancing technology as well as its multi-faceted nature has created a vast amount of potential research material for professionals and students in numerous disciplines. Its specific ability to improve upon traditional algorithms for image processing is seizing the attention of researchers in this field, as there remains a lack of exploration into this precise area. Examining Quantum Algorithms for Quantum Image Processing is an essential reference that provides research on quantum Fourier transform, quantum wavelet transform, and quantum wavelet packet transform as tool algorithms in image processing and quantum computing. It provides a comprehensive look into quantum image algorithms to establish frameworks of quantum image processing. While highlighting topics including geometric transformation, quantum compression ratio, and storage circuits, this book is ideally designed for researchers, scientists, developers, academicians, programmers, practitioners, engineers, and upper graduate students.

An Introduction to Quantum Computing

Author: Anya Bindra

Publisher: Anya Bindra

Published:

Total Pages: 66

ISBN-13:

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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).