Toward quantum simulating non-Abelian gauge theories

In this article, we review some of the recent developments toward the future goal of quantum computing or quantum simulating lattice-QCD. This includes a novel theoretical framework developed for non-Abelian gauge theories that is the first necessary step toward this goal. We also review some immediate applications of this framework in the context of both digital and analog quantum simulations of SU(2) lattice gauge theory coupled with staggered fermions.