Continuous-time quantum walks on Erdös–Rényi networks

We study the coherent exciton transport of continuous-time quantum walks (CTQWs) on Erdös–Rényi networks. We numerically investigate the transition probability between two nodes of the networks, and compare the classical and quantum transport efficiency on networks of different connectivity. In the long time limiting, we find that there is a high probability to find the exciton at the initial node. We also study how the network parameters affect such high return probability.