I'm doing some reading into Variational Quantum Eigensolvers (VQEs), Quantum Approximate Optimization Algorithms (QAOAs), and other similar algorithms.
I know that the point is to find the ground state of a Hamiltonian. I'm interested in making/finding a list of all the different problems that we know we can solve in this way.
For example, I've seen references to applications in chemistry, material science, and even graph theory. Can you point me to an existing list of applications, or list some places I can go to find more? Google searches for "applications of finding ground state of Hamiltonian" are not giving me anything interesting.
What I'm most interested in is how one can translate the problem into the specific Hamiltonian that they want to solve, and then specifically what they learn about the problem when they find the ground state energy.