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Perfect state transfer in products and covers of graphs

Coutinho, G. ; Godsil, C.

Linear & multilinear algebra, 2016-02, Vol.64 (2), p.235-246 [Periódico revisado por pares]

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Título:
Perfect state transfer in products and covers of graphs
Autor: Coutinho, G. ; Godsil, C.
Assuntos: Algebra ; graph products ; Graph theory ; Graphs ; Mathematical analysis ; matrix exponential ; quantum walks ; Qubits (quantum computing) ; spectral graph theory ; Tensors ; Vectors (mathematics)
É parte de: Linear & multilinear algebra, 2016-02, Vol.64 (2), p.235-246
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: A continuous-time quantum walk on a graph is represented by the complex matrix , where is the adjacency matrix of and is a non-negative time. If the graph models a network of interacting qubits, transfer of state among such qubits throughout time can be formalized as the action of the continuous-time quantum walk operator in the characteristic vectors of the vertices. Here, we are concerned with the problem of determining which graphs admit a perfect transfer of state. More specifically, we will study graphs whose adjacency matrix is a sum of tensor products of -matrices, focusing on the case where a graph is the tensor product of two other graphs. As a result, we will construct many new examples of perfect state transfer.
Editor: Abingdon: Taylor & Francis
Idioma: Inglês

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