  This paper concerns with the modeling of the spreading of information through
a complex, multi-layered network, where the information is transferred from an
initial transmitter to a final receiver. The mathematical model is deduced
within the framework of operatorial methods, according to the formal
mathematical apparatus typical of quantum mechanics. Two different approaches
are considered: one based on the ($H,\rho$)-induced dynamics, and one on the
Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation. For each method,
numerical results are presented.
