Speaker
Description
Perturbative quantum field theory typically expresses scattering amplitudes as sums over exponentially many Feynman diagrams. Here we introduce a binary-optimization approach to all-loop scattering amplitudes, based on recent “surfaceology” representations in which Feynman diagrams correspond to triangulations of marked surfaces. We show how to define degenerate QUBO problems whose solutions correspond to the locus of valid diagrams at a given loop order, and which are amenable to solution on modern quantum annealers. We also clarify the symmetry reductions, preprocessing, and postprocessing strategies needed to realise sufficient coverage and sampling uniformity, and demonstrate performance on a variety of solvers (including d-wave). We will comment on natural extensions of this work from our phi^3 test case to quantum field theories with colored degrees of freedom and higher-order interactions.