  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.
