Continuous-time quantum walks on star graphs

In this paper, we investigate continuous-time quantum walk on star graphs. It is shown that quantum central limit theorem for a continuous-time quantum walk on star graphs for NN-fold star power graph, which are invariant under the quantum component of adjacency matrix, converges to continuous-time quantum walk on K2K2 graphs (complete graph with two vertices) and the probability of observing walk tends to the uniform distribution.