Simulating the Hubbard model on a quantum computer as an advanced quantum mechanics project

The Hubbard model is one of the most important models in condensed matter physics. It often is not studied in instruction, except possibly in advanced graduate courses. But, it is fairly easy to introduce the background needed to understand what the Hubbard model is and it is straightforward to create a circuit that can prepare the ground state efficiently on a quantum computer for small enough systems. We show how to do this with a two-site model and focus on what is needed to be able to assign this as a project to students.