Non-contextual Quantum Chemistry

Abstract: Quantum Chemistry is a leading future application of quantum computing. Competition between classical and quantum computing approaches to quantum chemistry poses the question: What quantum resources are required to simulate quantum chemistry? How do these resources correspond to chemical notions such as multi-configuration character or correlation? I will describe non-contextual Hamiltonians that have been previously used to give a hybrid VQE algorithm, Contextual Subspace VQE. I will describe the properties of these Hamiltonians and their relation to chemical approximations such as Hartree-Fock, and to measures of non-stabilizerness such as Magic. I will also discuss the prospect for algorithms that exploit the contextual/noncontextual division beyond NISQ.