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arXiv · 0904.2054

Continuous-time quantum walks on star graphs

S. Salimi
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Abstract

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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S. Salimi. 2009-04-14. Continuous-time quantum walks on star graphs. https://doi.org/10.1016/j.aop.2009.03.002

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