  A general outlook is presented on the study of multiloop topologies appearing
for the first time at four loops. A unified description and representation of
this family is provided, the so-called N$^4$MLT universal topology. Based on
the Loop-Tree Duality framework, we discuss the dual opening of this family and
expose the relevance of a causal representation. We explore an alternative
procedure for the search of causal singular configurations of selected N$^4$MLT
Feynman diagrams through the application of a modified Grover's quantum
algorithm.
