In order for quantum computational simulations to advance to a competitive point, many techniques from classical simulations must be imported into the quantum domain. In this talk, I will explore some applications of symmetry in the context of quantum simulation. I will motivate and detail algorithms for the application of well-established ideas from computational chemistry to the first and second quantized formulations of quantum simulation, as well as applications to the black-box formulation of quantum simulation of fermionic systems.
Application of Chemical Group Theory to Quantum Simulation
James D. Whitfield