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arXiv · 1302.0887

Co-evolution of networks and quantum dynamics: a generalization of preferential attachment

Vincenzo Nicosia·Takuya Machida·Richard Wilson·Edwin Hancock·Norio Konno·Vito Latora·Simone Severini
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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.

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Vincenzo Nicosia, Takuya Machida, Richard Wilson, Edwin Hancock, Norio Konno, Vito Latora, Simone Severini. 2013-02-04. Co-evolution of networks and quantum dynamics: a generalization of preferential attachment. https://doi.org/10.1088/1742-5468/2013/08/p08016

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