Co-evolution of networks and quantum dynamics: a generalization of preferential attachment
Physics and Society
2014-02-25 v2 Statistical Mechanics
Quantum Physics
Abstract
We propose a model of network growth in which the network is co-evolving together with the dynamics of a quantum mechanical system, namely a quantum walk taking place over the network. The model naturally generalizes the Barab\'{a}si-Albert model of preferential attachment and has a rich set of tunable parameters, such as the initial conditions of the dynamics or the interaction of the system with its environment. We show that the model produces networks with two-modal power-law degree distributions, super-hubs, finite clustering coefficient, small-world behaviour and non-trivial degree-degree correlations.
Keywords
Cite
@article{arxiv.1302.0887,
title = {Co-evolution of networks and quantum dynamics: a generalization of preferential attachment},
author = {Vincenzo Nicosia and Takuya Machida and Richard Wilson and Edwin Hancock and Norio Konno and Vito Latora and Simone Severini},
journal= {arXiv preprint arXiv:1302.0887},
year = {2014}
}
Comments
8 pages, 2 figures