Analytical and Numerical Methods in Quantum Software and Hardware

Abstract

There are many platforms proposed for quantum computing, and various applications of quantum information to consider. In this dissertation, we explore the control of a large class of quantum platforms subjected to dynamical tunability, and we consider applications on those platforms which give natural insight into quantum many-body simulations. We consider many-body ultracold dipolar systems subjected to Floquet control as a platform for computing, algorithms which measure many-body energy gaps using hybrid methods to speed up computation, questions of simulation complexity in many-body systems, and alternative hardware platforms in photonic systems and how they can generate entanglement.