Quantum Error Correction And Fault Tolerant Quantum Computing
DOWNLOAD
Download Quantum Error Correction And Fault Tolerant Quantum Computing PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Quantum Error Correction And Fault Tolerant Quantum Computing book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Quantum Error Correction And Fault Tolerant Quantum Computing
DOWNLOAD
Author : Frank Gaitan
language : en
Publisher: CRC Press
Release Date : 2018-10-03
Quantum Error Correction And Fault Tolerant Quantum Computing written by Frank Gaitan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-03 with Computers categories.
It was once widely believed that quantum computation would never become a reality. However, the discovery of quantum error correction and the proof of the accuracy threshold theorem nearly ten years ago gave rise to extensive development and research aimed at creating a working, scalable quantum computer. Over a decade has passed since this monumental accomplishment yet no book-length pedagogical presentation of this important theory exists. Quantum Error Correction and Fault Tolerant Quantum Computing offers the first full-length exposition on the realization of a theory once thought impossible. It provides in-depth coverage on the most important class of codes discovered to date—quantum stabilizer codes. It brings together the central themes of quantum error correction and fault-tolerant procedures to prove the accuracy threshold theorem for a particular noise error model. The author also includes a derivation of well-known bounds on the parameters of quantum error correcting code. Packed with over 40 real-world problems, 35 field exercises, and 17 worked-out examples, this book is the essential resource for any researcher interested in entering the quantum field as well as for those who want to understand how the unexpected realization of quantum computing is possible.
Quantum Error Correction And Fault Tolerant Quantum Computing S
DOWNLOAD
Author : Gaitan Frank Staff
language : en
Publisher:
Release Date : 2007-10
Quantum Error Correction And Fault Tolerant Quantum Computing S written by Gaitan Frank Staff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-10 with categories.
It was once widely believed that quantum computation would never become a reality. However, the discovery of quantum error correction and the proof of the accuracy threshold theorem nearly ten years ago gave rise to extensive development and research aimed at creating a working, scalable quantum computer. Over a decade has passed since this monumental accomplishment yet no book-length pedagogical presentation of this important theory exists. Quantum Error Correction and Fault Tolerant Quantum Computing offers the first full-length exposition on the realization of a theory once thought impossible. It provides in-depth coverage on the most important class of codes discovered to date quantum stabilizer codes. It brings together the central themes of quantum error correction and fault-tolerant procedures to prove the accuracy threshold theorem for a particular noise error model. The author also includes a derivation of well-known bounds on the parameters of quantum error correcting code. Packed with over 40 real-world problems, 35 field exercises, and 17 worked-out examples, this book is the essential resource for any researcher interested in entering the quantum field as well as for those who want to understand how the unexpected realization of quantum computing is possible.
New Methods In Quantum Error Correction And Fault Tolerant Quantum Computing
DOWNLOAD
Author : Christopher Chamberland
language : en
Publisher:
Release Date : 2018
New Methods In Quantum Error Correction And Fault Tolerant Quantum Computing written by Christopher Chamberland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Quantum computing categories.
Quantum computers have the potential to solve several interesting problems in polynomial time for which no polynomial time classical algorithms have been found. However, one of the major challenges in building quantum devices is that quantum systems are very sensitive to noise arising from undesired interactions with the environment. Noise can lead to errors which can corrupt the results of the computation. Quantum error correction is one way to mitigate the effects of noise arising in quantum devices. With a plethora of quantum error correcting codes that can be used in various settings, one of the main challenges of quantum error correction is understanding how well various codes perform under more realistic noise models that can be observed in experiments. This thesis proposes a new decoding algorithm which can optimize threshold values of error correcting codes under different noise models. The algorithm can be applied to any Markovian noise model. Further, it is shown that for certain noise models, logical Clifford corrections can further improve a code's threshold value if the code obeys certain symmetries. Since gates and measurements cannot in general be performed with perfect precision, the operations required to perform quantum error correction can introduce more errors into the system thus negating the benefits of error correction. Fault-tolerant quantum computing is a way to perform quantum error correction with imperfect operations while retaining the ability to suppress errors as long as the noise is below a code's threshold. One of the main challenges in performing fault-tolerant error correction is the high resource requirements that are needed to obtain very low logical noise rates. With the use of flag qubits, this thesis develops new fault-tolerant error correction protocols that are applicable to arbitrary distance codes. Various code families are shown to satisfy the requirements of flag fault-tolerant error correction. We also provide circuits using a constant number of qubits for these codes. It is shown that the proposed flag fault-tolerant method uses fewer qubits than previous fault-tolerant error correction protocols. It is often the case that the noise afflicting a quantum device cannot be fully characterized. Further, even with some knowledge of the noise, it can be very challenging to use analytic decoding methods to improve the performance of a fault-tolerant scheme. This thesis presents decoding schemes using several state of the art machine learning techniques with a focus on fault-tolerant quantum error correction in regimes that are relevant to near term experiments. It is shown that even in low noise rate regimes and with no knowledge of the noise, noise can be further suppressed for small distance codes. Limitations of machine learning decoders as well as the classical resources required to perform active error correction are discussed. In many cases, gate times can be much shorter than typical measurement times of quantum states. Further, classical decoding of the syndrome information used in quantum error correction to compute recovery operators can also be much slower than gate times. For these reasons, schemes where error correction can be implemented in a frame (known as the Pauli frame) have been developed to avoid active error correction. In this thesis, we generalize previous Pauli frame schemes and show how Clifford frame error correction can be implemented with minimal overhead. Clifford frame error correction is necessary if the logical component of recovery operators were chosen from the Clifford group, but could also be used in randomized benchmarking schemes.
Quantum Computing
DOWNLOAD
Author : Shrikant Tiwari
language : en
Publisher: CRC Press
Release Date : 2025-04-17
Quantum Computing written by Shrikant Tiwari and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-17 with Computers categories.
Quantum computing and algorithms are set to revolutionize information processing. Covering such topics, Quantum Computing: The Future of Information Processing explains its principles, practical applications, and future implications in a clear and accessible manner. The book strives to simplify the essential concepts and practical applications of quantum computing. Its aim is to help students and researchers to apply quantum computing to advance AI and machine learning, cybersecurity, and blockchain. With its emphasis on practical applications, the book covers how quantum computing is changing such fields as: Finance Medicine Built environment Networking and communications With extensive real-world case studies and practical implementation guidance, the book is a guide for those seeking to understand how quantum computing is applied in various industries. Its in-depth exploration of quantum computing covers both foundational principles and advanced applications in a single resource, saving readers the need to purchase multiple books. Finally, the book focuses on the future of information processing so that students and researchers can anticipate and prepare for the transformative impact of quantum computing.
Quantum Computing
DOWNLOAD
Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Quantum Computing written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Computers categories.
"Quantum Computing" is a comprehensive and accessible exploration of one of the most exciting and rapidly evolving fields in modern science. Written with both beginners and advanced enthusiasts in mind, this book offers a captivating journey through the world of quantum computing without the need for complex mathematical formulas. With 50 engaging chapters covering a wide range of topics, readers will discover the fascinating principles behind quantum mechanics and how they are harnessed to revolutionize computing, cryptography, telecommunications, and even our understanding of consciousness and the universe itself. From the basics of qubits and superposition to advanced applications like quantum cryptography and artificial intelligence, this book presents complex concepts in a clear and easy-to-understand manner, making it suitable for readers of all backgrounds. Whether you're a curious novice or a seasoned quantum enthusiast, "Quantum Computing" offers a captivating glimpse into the extraordinary possibilities of the quantum world.
Quantum Information Processing Quantum Computing And Quantum Error Correction
DOWNLOAD
Author : Ivan B. Djordjevic
language : en
Publisher: Academic Press
Release Date : 2021-02-20
Quantum Information Processing Quantum Computing And Quantum Error Correction written by Ivan B. Djordjevic and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-20 with Science categories.
The Second Edition of Quantum Information Processing, Quantum Computing, and Quantum Error Correction: An Engineering Approach presents a self-contained introduction to all aspects of the area, teaching the essentials such as state vectors, operators, density operators, measurements, and dynamics of a quantum system. In additional to the fundamental principles of quantum computation, basic quantum gates, basic quantum algorithms, and quantum information processing, this edition has been brought fully up to date, outlining the latest research trends. These include: Key topics include: - Quantum error correction codes (QECCs), including stabilizer codes, Calderbank-Shor-Steane (CSS) codes, quantum low-density parity-check (LDPC) codes, entanglement-assisted QECCs, topological codes, and surface codes - Quantum information theory, and quantum key distribution (QKD) - Fault-tolerant information processing and fault-tolerant quantum error correction, together with a chapter on quantum machine learning. Both quantum circuits- and measurement-based quantum computational models are described - The next part of the book is spent investigating physical realizations of quantum computers, encoders and decoders; including photonic quantum realization, cavity quantum electrodynamics, and ion traps - In-depth analysis of the design and realization of a quantum information processing and quantum error correction circuits This fully up-to-date new edition will be of use to engineers, computer scientists, optical engineers, physicists and mathematicians. - A self-contained introduction to quantum information processing, and quantum error correction - Integrates quantum information processing, quantum computing, and quantum error correction - Describes the latest trends in the quantum information processing, quantum error correction and quantum computing - Presents the basic concepts of quantum mechanics - In-depth presentation of the design and realization of a quantum information processing and quantum error correction circuit
Quantum Error Correction
DOWNLOAD
Author : Daniel A. Lidar
language : en
Publisher: Cambridge University Press
Release Date : 2013-09-12
Quantum Error Correction written by Daniel A. Lidar 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 2013-09-12 with Science categories.
Quantum computation and information is one of the most exciting developments in science and technology of the last twenty years. To achieve large scale quantum computers and communication networks it is essential not only to overcome noise in stored quantum information, but also in general faulty quantum operations. Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. This comprehensive text, written by leading experts in the field, focuses on quantum error correction and thoroughly covers the theory as well as experimental and practical issues. The book is not limited to a single approach, but reviews many different methods to control quantum errors, including topological codes, dynamical decoupling and decoherence-free subspaces. Basic subjects as well as advanced theory and a survey of topics from cutting-edge research make this book invaluable both as a pedagogical introduction at the graduate level and as a reference for experts in quantum information science.
The Complexity Of Noise
DOWNLOAD
Author : Amit Hagar
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
The Complexity Of Noise written by Amit Hagar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Mathematics categories.
In quantum computing, where algorithms exist that can solve computational problems more efficiently than any known classical algorithms, the elimination of errors that result from external disturbances or from imperfect gates has become the "holy grail", and a worldwide quest for a large scale fault-tolerant, and computationally superior, quantum computer is currently taking place. Optimists rely on the premise that, under a certain threshold of errors, an arbitrary long fault-tolerant quantum computation can be achieved with only moderate (i.e., at most polynomial) overhead in computational cost. Pessimists, on the other hand, object that there are in principle (as opposed to merely technological) reasons why such machines are still inexistent, and that no matter what gadgets are used, large scale quantum computers will never be computationally superior to classical ones. Lacking a complete empirical characterization of quantum noise, the debate on the physical possibility of such machines invites philosophical scrutiny. Making this debate more precise by suggesting a novel statistical mechanical perspective thereof is the goal of this project. Table of Contents: Introduction / The Curse of the Open System / To Balance a Pencil on Its Tip / Universality at All Cost / Coda
Quantum Computing
DOWNLOAD
Author : Rob Botwright
language : en
Publisher: Rob Botwright
Release Date : 2024
Quantum Computing written by Rob Botwright and has been published by Rob Botwright this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Computers categories.
🌟 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! 🚀
Quantum Computing
DOWNLOAD
Author : Eleanor G. Rieffel
language : en
Publisher: MIT Press
Release Date : 2014-08-29
Quantum Computing written by Eleanor G. Rieffel and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-29 with Computers categories.
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.