In the context of high-energy physics, perturbation theory is the most widely used strategy for extracting accurate theoretical predictions. However, higher-order contributions require the evaluation of complicated multi-loop Feynman integrals, which constitute a serious bottleneck in current computational frameworks. In this talk we present the first application of a quantum algorithm to multi-loop Feynman integrals. We introduce an efficient modification of Grover's algorithm to select all causal configurations of internal propagators. Causal configurations arise naturally in the Loop-Tree duality (LTD), and lead to integrand representations that are more stable numerically than the corresponding Feynman representation. Moreover, causal configurations can also be interpreted in graph theory as acyclic directed graphs.