Quantum Chemistry with a Quantum Computer

Abstract

In quantum chemistry, one is often interested in the static properties of a molecular quantum system, such its electronic structure, or its energy eigenvalues and eigenstates. In this chapter we describe the Abrams-Lloyd and Kitaev eigenvalue estimation algorithms. These provide efficient algorithms for determining the exact eigenvalue associated with a given eigenstate, a feat that is exponentially more difficult to do classically to the same precision.