Grover's Quantum Search Algorithm of Causal Multiloop Feynman Integrals

Abstract

A proof-of-concept application of a quantum algorithm to multiloop Feynman integrals in the Loop-Tree Duality (LTD) framework is applied to a representative four-loop topology. Bootstrapping causality in the LTD formalism, is a suitable problem to address with quantum computers given the straightforward possibility to encode the two on-shell states of a propagator on the two states of a qubit. A modification of Grover's quantum search algorithm is developed and the quantum algorithm is successfully implemented on IBM Quantum and QUTE simulators.

Comments: 4 pages, 1 figure, Poster contribution for the Proceedings of Science (PoS) of ICHEP 2022