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Paper detail

Local subgraph structure can cause localization in continuous-time quantum walk

In this paper, we consider continuous-time quantum walks (CTQWs) on finite graphs determined by the Laplacian matrices. By introducing fully interconnected graph decomposition of given graphs, we show a decomposition method for the Laplacian matrices. Using the decomposition method, we show several conditions for graph structure which return probability of CTQW tends to 1 while the number of vertices tends to infinity.

preprint2014arXivOpen access
Yusuke Ide
math.COquant-ph
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Yusuke Ide

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