  We present an overview of the analysis of the multiloop topologies that
appear for the first time at four loops and the assembly of them in a general
expression, the N$^4$MLT universal topology. Based on the fact that the
Loop-Tree Duality enables to open any scattering amplitude in terms of
convolutions of known subtopologies, we go through the dual representation of
the universal N$^4$MLT topology and the manifestly causal representation.
Additionally, we expose the application of a quantum algorithm as an
alternative methodology to identify the causal singular configurations of
multiloop Feynman diagrams.
