To be able to simulate a complex quantum system using quantum-computing paradigms, rather than classical ones, has always been a physicist' dream. With the advent and advancement of quantum technologies, this dream is starting to become reality. But can we ultimately quantum-simulate matter starting from the underlying theory of elementary particles and interactions, the Standard Model? What does it take to do so, and do we have the best theoretical frameworks and the most efficient algorithms to tackle this problem? With the ultimate goal of enabling simulations of real-time dynamics of matter under strong interactions, or quantum chromodynamics (QCD), I present two lectures that partially illuminate these questions. The first lecture will be oriented toward theoretical, and the second toward algorithmic developments. By the end of these lectures, you will learn what qubit and gate complexity the state-of-the-art algorithms exhibit to simulate QCD dynamics, and what areas still need more development.