Quantum Machine Learning_ What Quantum Computing Means to Data Mining

Fundamental Concepts Classical Learning Algorithms Quantum Computing and Machine Learning

Quantum algorithms for algebraic problems

Quantum computers can execute algorithms that dramatically outperform classical computation. As the best-known example, Shor discovered an efficient quantum algorithm for factoring integers, whereas factoring appears to be difficult for classical computers. Understanding what other computational problems can be solved significantly faster using quantum algorithms is one of the major challenges in the theory of quantum computation, and such algorithms motivate the formidable task of building a large-scale quantum computer. This article reviews the current state of quantum algorithms, focusing on algorithms with super-polynomial speedup over classical computation, and in particular, on problems with an algebraic flavor.

Quantum walks_a comprehensive review

Quantum walks, the quantum mechanical counterpart of classical random walks, is an advanced tool for building quantum algorithms that has been recently shown to constitute a universal model of quantum computation. Quantum walks is now a solid field of research of quantum computation full of exciting open problems for physicists, computer scientists and engineers. In this paper we review theoretical advances on the foundations of both discrete and continuous-time quantum walks, together with the role that randomness plays in quantum walks, the connections between the mathematical models of coined discrete quantum walks and continuous quantum walks, the quantumness of quantum walks, a summary of papers published on discrete quantum walks and entanglement as well as a succinct review of experimental proposals and realizations of discrete-time quantum walks. Furthermore, we have reviewed several algorithms based on both discrete- and continuous-time quantum walks as well as a most important result: the computational universality of both continuous- and discrete-time quantum walks.

Explorations in Quantum Computing

Explorations in Quantum Computing What is Quantum Computing? What Can You Do with a Quantum Computer? What Can You Do with Quantum Information? Towards Practical Quantum Computers

quantum computation and quantum information

量子计算与量子信息经典著作英文原版，作者：Michael A. Nielsen；Isaac L. Chuang.