In this introductory review, we focus on applications of quantum computation to problems of interest in physics and chemistry. We describe quantum simulation algorithms that have been developed for electronic-structure problems, thermal-state preparation, simulation of time dynamics, adiabatic quantum simulation, and density functional theory.

}, keywords = {Condensed Matter - Mesoscale and Nanoscale Physics, Quantum Physics}, url = {http://arxiv.org/abs/1203.1331}, author = {Yung, Man-Hong and Whitfield, James D and Boixo, Sergio and Tempel, David G and Aspuru-Guzik, Al{\'a}n} }