Quantum Computing sits at the intersection of computer science, physics, and engineering and it's proponents promise a new, more powerful, class of computers. The field is being driven by research at a diverse array of universities, major corporations such as Google and IBM, and startup companies like ours, with the goal of demonstrating a computer that relies on the oddities of quantum physics to solve problems faster than a classical computer. I will discuss why quantum computers are thought to have such great potential, provide a brief introduction to how and why they function differently from classical computers, and look at two different approaches to proving "Quantum Supremacy".