Spreading of Information on a Network: A Quantum View

Area of Science:

• Complex Systems
• Network Science
• Quantum Information Theory

Background:

• Information diffusion is crucial in networked systems.
• Modeling complex network dynamics requires advanced mathematical frameworks.
• Quantum mechanics offers novel tools for describing system evolution.

Purpose of the Study:

• To model information spread in multi-layered complex networks.
• To apply operatorial methods from quantum mechanics to information transfer.
• To compare two distinct quantum-inspired modeling approaches.

Main Methods:

• Development of a mathematical model using operatorial methods.
• Implementation of (H,ρ)-induced dynamics for information transfer.
• Application of the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation.

Main Results:

• Numerical results are presented for both the (H,ρ)-induced dynamics and GKSL equation approaches.
• The study demonstrates the feasibility of quantum mechanical formalisms for network information spread.
• Quantitative insights into information propagation dynamics are provided.

Conclusions:

• Quantum mechanical operatorial methods provide a robust framework for modeling information spread.
• The (H,ρ)-induced dynamics and GKSL equation offer distinct yet viable pathways for analysis.
• Further research can explore the application of these methods to diverse network structures and information types.