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Quantum graph walks I: mapping to quantum walks

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 نشر من قبل Etsuo Segawa
 تاريخ النشر 2012
  مجال البحث فيزياء
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We clarify that coined quantum walk is determined by only the choice of local quantum coins. To do so, we characterize coined quantum walks on graph by disjoint Euler circles with respect to symmetric arcs. In this paper, we introduce a new class of coined quantum walk by a special choice of quantum coins determined by corresponding quantum graph, called quantum graph walk. We show that a stationary state of quantum graph walk describes the eigenfunction of the quantum graph.

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