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【2015】Quantum Computational Number Theory

Book 图书名称：Quantum Computational Number Theory
Author 作者： Song Y. Yan
Publisher 出版社： Springer
Page 页数：259
Publishing Date 出版时间： Dec 26, 2015
Language 语言： English
Size 大小： 3 MB
Format 格式： pdf 文字版
ISBN:3319258214, 9783319258218
Edition: 第1版 搜索过论坛，没有该文档


This book provides a comprehensive introduction to advanced topics in the computational and algorithmic aspects of number theory, focusing on applications in cryptography. Readers will learn to develop fast algorithms, including quantum algorithms, to solve various classic and modern number theoretic problems. Key problems include prime number generation, primality testing, integer factorization, discrete logarithms, elliptic curve arithmetic, conjecture and numerical verification.

The author discusses quantum algorithms for solving the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP), and the Elliptic Curve Discrete Logarithm Problem (ECDLP) and for attacking IFP, DLP and ECDLP based cryptographic systems. Chapters also cover various other quantum algorithms for Pell's equation, principal ideal, unit group, class group, Gauss sums, prime counting function, Riemann's hypothesis and the BSD conjecture.


Quantum Computational Number Theory is self-contained and intended to be used either as a graduate text in computing, communications and mathematics, or as a basic reference in the related fields. Number theorists, cryptographers and professionals working in quantum computing, cryptography and network security will find this book a valuable asset.

== Table of contents ==
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