Four-loop scattering amplitudes through the loop-tree duality

A general outlook is presented on the study of multiloop topologies appearing for first time at four loops. unified description and representation this family provided, so-called N4MLT universal topology. Based Loop-Tree Duality framework, we discuss dual opening expose relevance a causal representation. We explore an alternative procedure search singular configurations selected Feynman diagrams through application modified Grover's quantum algorithm.