Non-contextual approximations, Magic, and Correlation energy

What distinguishes quantum from classical computation? Contextuality, entanglement and more recently magic are leading measures of nonclassicality. I will describe non-contextual Hamiltonians, which arise from a generalization of the Kochen-specker paradox and Peres-Mermin square. I will give various properties of their eigenspaces and define contextual subspace methods that allow any Hamiltonian to be treated as a sum of contextual and non-contextual parts. Recent interest in the stabilizer Renyi entropy as a measure of non-stabilizerness motivates the question of how “magical” are contextual subspace methods? I will describe recent work evaluating magic in contextual subspaces for electronic structure problems, and connecting magic and correlation energy in these subspaces.

In-person only, to be posted after the talk on https://www.youtube.com/@mathematicalpicturelanguag2715/videos