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

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 نشر من قبل Yusuke Ide
 تاريخ النشر 2014
  مجال البحث فيزياء
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 تأليف Yusuke Ide




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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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