Quantum Algorithm for Querying Causality of Multiloop Scattering Amplitudes

TL;DR

This paper explores a quantum algorithm that utilizes Grover's search to identify causal singularities in multiloop Feynman diagrams, bridging quantum computing with quantum field theory.

Contribution

It introduces a novel quantum algorithm tailored for analyzing causality in multiloop scattering amplitudes, leveraging qubit encoding of Feynman propagators.

Findings

Demonstrates the feasibility of quantum algorithms for Feynman integral analysis

Shows how Grover's algorithm can identify multiple solutions in quantum field theory problems

Establishes a connection between quantum computing and perturbative quantum field theory

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.