Titlebook: Mathematical Foundations of Quantum Information and Computation and Its Applications to Nano- and Bi; Masanori Ohya,I. Volovich Book 2011

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Quantum Algorithms II,In this chapter, the Shor’s quantum algorithm for factoring integers is described. Factoring integers plays an important role in modern cryptography. We start by reviewing some fundamental facts of number theory.

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Quantum Algorithm III,In this chapter we will consider a new approach to quantum computations. We shall discuss an algorithm introduced by Ohya and Volovich which can solve the NP-complete satisfiability (SAT) problem in polynomial time. The algorithm goes beyond the quantum Turing machine paradigm.

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Quantum Cryptography,Cryptography is the art of code-making, code-breaking, and secure communication. It has a long history of military, diplomatic, and commercial applications dating back to ancient societies. In this chapter, an introduction to basic notions of classical and quantum cryptography is given.

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Masanori Ohya,I. VolovichA unique combination of rigorous mathematical results in quantum information and applications to nano-systems and life science Presents a new paradigm for quantum computation beyond the usual quantum

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Theoretical and Mathematical Physicshttp://image.papertrans.cn/m/image/626163.jpg

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