Spreading of Information on a Network: A Quantum View

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,ρ)-induced dynamics and one on the Gorini–Kossakowski–Sudarshan–Lindblad (GKSL) equation. For each method, numerical results are presented.

Keywords

• operatorial models
• Heisenberg dynamics
• (<i>H</i>,<i>ρ</i>)-induced dynamics
• GKSL equations
• spreading of information