Quantum Algorithm for Querying Causality of Multiloop Scattering Amplitudes

Abstract

The first application of a quantum algorithm to Feynman loop integrals is reviewed. The connection between quantum computing and perturbative quantum field theory is feasible due to fact that the two on-shell states of a Feynman propagator are naturally encoded in a qubit. The particular problem to be addressed is the identification of the causal singular configurations of multiloop Feynman diagrams. The identification of such configurations is carried out through the implementation of a modified Grover's quantum algorithm for querying multiple solutions over unstructured datasets.

Comments: 6 pages, 2 figures. Contribution to the proceedings of the ICHEP 2022 conference