Spreading of information on a network: a quantum view

TL;DR

This paper introduces a quantum-inspired mathematical framework for modeling information spread in complex networks, utilizing operatorial methods from quantum mechanics, and compares two approaches with numerical results.

Contribution

It presents a novel quantum-mechanical operatorial modeling approach for information dissemination in networks, contrasting ($H, ho$)-induced dynamics with GKSL equations.

Findings

Both approaches successfully model information spread.

Numerical results demonstrate the effectiveness of quantum-inspired methods.

The study provides insights into quantum effects in network dynamics.

Abstract

This paper concerns the modeling of the spread 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.