Titlebook: Quantum Computational Number Theory; Song Y. Yan Book 2015 Springer International Publishing Switzerland 2015 Quantum computational number

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related to the construction of modern public-key cryptograp.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 al

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Miscellaneous Quantum Algorithms,ber-theoretic problems. Unlike the previous chapters, we will not emphasize on the introduction of the details quantum algorithms for number-theoretic problems, rather we shall concentrated on new ideas and new developments in quantum algorithms for number-theoretic problems.

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Apraxia

Classical and Quantum Computation,uch as the Prime Number Theorem and conjectures such as the Riemann hypothesis and the?BSD (Birch and Swinnerton-Dyer) conjecture, are rooted and motivated from the computational experiments. So computation is the main ingredient and component of both computational number theory and quantum computat

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Pruritus

Quantum Computing for Discrete Logarithms,ic schemes by Diffie, Hellman and Merle at Stanford in 1976 and also by Ellis, Cocks and Williamson at the British GCHQ in 1970–1976. Today, DLP are widely used for constructing cryptographic systems and digital signatures, and the security of these systems depends heavily on the intractability of D

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Miscellaneous Quantum Algorithms,hms. This does not mean quantum algorithms can only be used to solve integer factorization problem, discrete logarithm problem and elliptic curve discrete logarithm problem. In fact, quantum algorithms and quantum computers in general can solve other problems with either superpolynomially (exponenti

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熱心

Introduction, computational number theory, just as analytic number theory and algebraic number theory, where analysis and algebra play an important role. This chapter provides an introduction to the basic ideas and concepts, as well as some important open problems in number theory and computational number theory and quantum computational number theory.

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