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Partition of graphs and quantum walk based search algorithms

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 نشر من قبل Yusuke Ide
 تاريخ النشر 2018
  مجال البحث فيزياء
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 تأليف Yusuke Ide




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In this paper, we show reduction methods for search algorithms on graphs using quantum walks. By using a graph partitioning method called equitable partition for the the given graph, we determine effective subspace for the search algorithm to reduce the size of the problem. We introduce the equitable partition for quantum walk based search algorithms and show how to determine effective subspace and reduced operator.



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