Quantum algorithms

Abstract

Article Outline: Glossary Definition of the Subject Introduction and Overview Early Quantum Algorithms Factoring, Discrete Logarithms and the Abelian Hidden Subgroup Problem Algorithms Based on Amplitude Amplification Simulation of Quantum Mechanical Systems Generalizations of the Abelian Hidden Subgroup Problem Quantum Walk Algorithms Adiabatic Algorithms Topological Algorithms Quantum Algorithms for Quantum Tasks Future Directions Bibliography