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arXiv · 1406.0347

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

Yusuke Ide
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Abstract

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.

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Yusuke Ide. 2014-06-02. Local subgraph structure can cause localization in continuous-time quantum walk. https://arxiv.org/abs/1406.0347

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