Continuous-time quantum walks on star graphs

Details Continuous-time quantum walks on star graphs Continuous-time quantum walks on star graphs

2009-04-14

arxiv.org/abs/0904.2054v2

Annals of Physics 324 (2009) 1185--1193

Physics

Quantum Physics

17, page; 4 figure

Scientific paper

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 $N$-fold star power graph, which are invariant under the quantum component of adjacency matrix, converges to continuous-time quantum walk on $K_2$ graphs (Complete graph with two vertices) and the probability of observing walk tends to the uniform distribution.

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