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Author: Thomas Vidick
Publisher: Foundations and Trends (R) in Theoretical Computer Science
ISBN: 9781680831269
Category :
Languages : en
Pages : 232
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Book Description
Quantum Proofs provides an overview of many of the known results concerning quantum proofs, computational models based on this concept, and properties of the complexity classes they define. In particular, it discusses non-interactive proofs and the complexity class QMA, single-prover quantum interactive proof systems and the complexity class QIP, statistical zero-knowledge quantum interactive proof systems and the complexity class QSZK, and multiprover interactive proof systems and the complexity classes QMIP, QMIP*, and MIP*. Quantum Proofs is mainly intended for non-specialists having a basic background in complexity theory and quantum information. A typical reader may be a student or researcher in either area desiring to learn about the fundamentals of the (actively developing) theory of quantum interactive proofs.
Author: Thomas Vidick
Publisher: Foundations and Trends (R) in Theoretical Computer Science
ISBN: 9781680831269
Category :
Languages : en
Pages : 232
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Book Description
Quantum Proofs provides an overview of many of the known results concerning quantum proofs, computational models based on this concept, and properties of the complexity classes they define. In particular, it discusses non-interactive proofs and the complexity class QMA, single-prover quantum interactive proof systems and the complexity class QIP, statistical zero-knowledge quantum interactive proof systems and the complexity class QSZK, and multiprover interactive proof systems and the complexity classes QMIP, QMIP*, and MIP*. Quantum Proofs is mainly intended for non-specialists having a basic background in complexity theory and quantum information. A typical reader may be a student or researcher in either area desiring to learn about the fundamentals of the (actively developing) theory of quantum interactive proofs.
Author: Melanie Swan
Publisher: World Scientific
ISBN: 1786348225
Category : Science
Languages : en
Pages : 400
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Book Description
Quantum information and contemporary smart network domains are so large and complex as to be beyond the reach of current research approaches. Hence, new theories are needed for their understanding and control. Physics is implicated as smart networks are physical systems comprised of particle-many items interacting and reaching criticality and emergence across volumes of macroscopic and microscopic states. Methods are integrated from statistical physics, information theory, and computer science. Statistical neural field theory and the AdS/CFT correspondence are employed to derive a smart network field theory (SNFT) and a smart network quantum field theory (SNQFT) for the orchestration of smart network systems. Specifically, a smart network field theory (conventional or quantum) is a field theory for the organization of particle-many systems from a characterization, control, criticality, and novelty emergence perspective.This book provides insight as to how quantum information science as a paradigm shift in computing may influence other high-impact digital transformation technologies, such as blockchain and machine learning. Smart networks refer to the idea that the internet is no longer simply a communications network, but rather a computing platform. The trajectory is that of communications networks becoming computing networks (with self-executing code), and perhaps ultimately quantum computing networks. Smart network technologies are conceived as autonomous self-operating computing networks. This includes blockchain economies, deep learning neural networks, autonomous supply chains, self-piloting driving fleets, unmanned aerial vehicles, industrial robotics cloudminds, real-time bidding for advertising, high-frequency trading networks, smart city IoT sensors, and the quantum internet.
Author: Istvan Mayer
Publisher: Springer Science & Business Media
ISBN: 1475765193
Category : Science
Languages : en
Pages : 341
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Book Description
Since 1983 I have been delivering lectures at Budapest University that are mainly attended by chemistry students who have already studied quantum chem istry in the amount required by the (undergraduate) chemistry curriculum of the University, and wish to acquire deeper insight in the field, possibly in prepara tion of a master's or Ph.D. thesis in theoretical chemistry. In such a situation, I have the freedom to discuss, in detail, a limited number of topics which I feel are important for one reason or another. The exact coverage may vary from year to year, but I usually concentrate on the general principles and theorems and other basic theoretical results which I foresee will retain their importance despite the rapid development of quantum chemistry. I commonly organize my lectures by treating the subject from the begin ning, without referring explicitly to any actual previous knowledge in quantum chemistry-only some familiarity with its goals, approaches and, to a lesser ex tent, techniques is supposed. I concentrate on the formulae and their derivation, assuming the audience essentially understands the reasons for deriving these results. This book is basically derived from the material of my lectures. The spe cial feature, distinguishing it from most other textbooks, is that all results are explicitly proved or derived, and the derivations are presented completely, step by step. True understanding of a theoretical result can be achieved only if one has gone through its derivation.
Author: Marieke Huisman
Publisher: Springer Nature
ISBN: 303172044X
Category :
Languages : en
Pages : 184
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Book Description
Author: Scott Aaronson
Publisher: Cambridge University Press
ISBN: 0521199565
Category : Computers
Languages : en
Pages : 403
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Book Description
Takes students and researchers on a tour through some of the deepest ideas of maths, computer science and physics.
Author: Toshihide Ibaraki
Publisher: Springer Science & Business Media
ISBN: 3540206957
Category : Computers
Languages : en
Pages : 764
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Book Description
This book constitutes the refereed proceedings of the 14th International Symposium on Algorithms and Computation, ISAAC 2003, held in Kyoto, Japan, in December 2003. The 73 revised full papers presented were carefully reviewed and selected from 207 submissions. The papers are organized in topical sections on computational geometry, graph and combinatorial algorithms, computational complexity, quantum computing, combinatorial optimization, scheduling, computational biology, distributed and parallel algorithms, data structures, combinatorial and network optimization, computational complexity and cryptography, game theory and randomized algorithms, and algebraic and arithmetic computation.
Author: John Watrous
Publisher:
ISBN: 1107180562
Category : Computers
Languages : en
Pages : 599
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Book Description
Formal development of the mathematical theory of quantum information with clear proofs and exercises. For graduate students and researchers.
Author: Richard J. Lipton
Publisher: Springer Science & Business Media
ISBN: 3642414222
Category : Computers
Languages : en
Pages : 319
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Book Description
People, problems, and proofs are the lifeblood of theoretical computer science. Behind the computing devices and applications that have transformed our lives are clever algorithms, and for every worthwhile algorithm there is a problem that it solves and a proof that it works. Before this proof there was an open problem: can one create an efficient algorithm to solve the computational problem? And, finally, behind these questions are the people who are excited about these fundamental issues in our computational world. In this book the authors draw on their outstanding research and teaching experience to showcase some key people and ideas in the domain of theoretical computer science, particularly in computational complexity and algorithms, and related mathematical topics. They show evidence of the considerable scholarship that supports this young field, and they balance an impressive breadth of topics with the depth necessary to reveal the power and the relevance of the work described. Beyond this, the authors discuss the sustained effort of their community, revealing much about the culture of their field. A career in theoretical computer science at the top level is a vocation: the work is hard, and in addition to the obvious requirements such as intellect and training, the vignettes in this book demonstrate the importance of human factors such as personality, instinct, creativity, ambition, tenacity, and luck. The authors' style is characterize d by personal observations, enthusiasm, and humor, and this book will be a source of inspiration and guidance for graduate students and researchers engaged with or planning careers in theoretical computer science.
Author: Dr. Amit Dua
Publisher: BPB Publications
ISBN: 9355519737
Category : Computers
Languages : en
Pages : 668
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Book Description
DESCRIPTION "Mastering Zero-knowledge Proofs" is your ultimate guide to blockchain and ZKPs. It connects blockchain's core elements, like distributed ledgers and smart contracts, to ZKPs' advanced privacy solutions, emphasizing their significance in today's digital world, and provides a robust understanding of how these cryptographic techniques can revolutionize security and privacy in various applications. In this book, you will explore the basics of blockchain and ZKPs. You will gain technical skills like group theory and elliptic curve cryptography. Each chapter covers practical applications of ZKPs in blockchain systems, addressing challenges, ongoing research, and real-world use cases across industries like healthcare and finance. You will find detailed explanations of SNARKs, STARKs, and PLONK, along with practical guidance on constructing and implementing these non-interactive proofs. You will learn about innovative solutions, zero-knowledge virtual machines, ZK-Rollups, and ZK-EVM, along with a step-by-step guide for building and deploying these technologies. By the end of this book, you will have a solid understanding of Zero-knowledge Proofs and their applications in blockchain development. You will be equipped to implement privacy-preserving solutions, enhancing security and efficiency in your projects, making you a competent contributor in the evolving blockchain space. KEY FEATURES ● In-depth exploration of Zero-knowledge Proof concepts and applications. ● Practical insights into implementing ZKP in real-world systems. ● Comprehensive coverage from blockchain basics to advanced cryptography. WHAT YOU WILL LEARN ● Understand the fundamentals of Zero-knowledge Proofs and blockchain. ● Construct and implement SNARKs, STARKs, and PLONK proofs. ● Apply Zero-knowledge Proofs to enhance security and privacy in applications. ● Utilize zero-knowledge virtual machines and ZK-Rollups. ● Integrate ZK-EVM into Ethereum for scalable solutions. ● Identify and overcome challenges in Zero-knowledge Proofs. WHO THIS BOOK IS FOR This book is ideal for blockchain developers, security professionals, and researchers with a foundational understanding of cryptography and blockchain technology. TABLE OF CONTENTS 1. Introduction to Blockchain Technology 2. Introduction to Zero-knowledge Proofs 3. Introduction to SNARKS 4. SNARK Construction: Non-interactive Proof Building 5. Advanced SNARK Paradigms and Techniques 6. SNARK versus STARK 7. SNARKs In-depth and PLONK 8. Zero-Knowledge Virtual Machines 9. ZK-Rollups: Scalability Meets Privacy 10. Conceptualizing ZK-EVM in Ethereum 11. ZK Swaps: Revolutionizing Decentralized Exchanges 12. Zero-Knowledge Identity 13. Challenges and Limitations of Zero-knowledge Proofs 14. Ongoing Research and Development in Zero-knowledge Proofs 15. Real-world Applications of Zero-knowledge Proofs
Author: Ran Canetti
Publisher: Springer
ISBN: 3540785248
Category : Computers
Languages : en
Pages : 656
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Book Description
This book constitutes the refereed proceedings of the Fifth Theory of Cryptography Conference, TCC 2008. It covers the paradigms, approaches and techniques used to conceptualize, define and provide solutions to natural cryptographic problems.
