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874
Characterization of real-world networks through quantum potentials
Nicola Amoroso1,2, Loredana Bellantuono3, Saverio Pascazio2,4
1Dipartimento di Farmacia-Scienze del Farmaco, Università di Bari, Bari, Italy.
Plos One
|July 13, 2021
Summary
This study introduces a quantum-inspired method to analyze network topology using a Schrödinger-like equation. It reveals insights into real-world network structures and formation mechanisms.
Area of Science:
- Network science
- Quantum mechanics
- Statistical physics
Background:
- Network connectivity is crucial across various scientific fields.
- Characterizing complex network topology remains a challenge.
Purpose of the Study:
- To develop a quantum-inspired framework for network topological analysis.
- To compare real-world networks with benchmark models using this framework.
Main Methods:
- Utilizing the normalized Laplacian of a network.
- Applying dressing transformations to derive a 1D Schrödinger-like equation.
- Analyzing the emergent potential using fractal measures.
Main Results:
- The quantum-inspired framework successfully generates a Schrödinger-like equation with identical eigenvalues to the network's normalized Laplacian.
- Analysis of the potential in simulated small-world and scale-free networks reveals fractal properties.
- Real-world networks were compared to Erdős-Rényi, Watts-Strogatz, and Barabási-Albert models.
Conclusions:
- The reconstructed potentials offer a novel way to assess network formation mechanisms.
- This quantum-inspired approach provides deeper insights into real-world network connectivity.
- The framework allows for quantitative comparison between empirical networks and theoretical models.
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