Want to build a super fast simulator for the Rubik’s cube, where do I get started?

I want to build a super fast rubiks cube simulator, I understand there is a math component on how to represent states & actions effectively, as well as, in a way that is compute efficient and fast, trying to look at some rotations and clean ways of representing it, but I do not have a computer architecture background, I want to get down, understand the basics of what operations make compute faster, and what’s more efficient, and how has the latest trend of simulators been moving towards, would love to get some pointers and tips to get started, thank you so much for your time!