Quantum algorithm for Feynman loop integrals

A bstract We present a novel benchmark application of quantum algorithm to Feynman loop integrals. The two on-shell states propagator are identified with the qubit and is used unfold causal singular configurations multiloop diagrams. To identify such configurations, we exploit Grover’s for querying multiple solutions over unstructured datasets, which presents quadratic speed-up classical algorithms when number much smaller than possible configurations. suitable modification introduced deal topologies in be nearly half total states. output IBM Quantum QUTE Testbed simulators bootstrap representation loop-tree duality representative topologies. may also find interest graph theory solve problems involving directed acyclic graphs.