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arxiv: 1703.06286 · v1 · pith:KNE27SWMnew · submitted 2017-03-18 · 🪐 quant-ph

A Characterization of the Graphs to Induce Periodic Grover Walk

classification 🪐 quant-ph
keywords graphsgroverwalkinduceperiodiccharacterizationcharacterizecondition
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This paper explains the periodicity of the Grover walk on finite graphs. We characterize the graphs to induce 2, 3, 4, 5-periodic Grover walk and obtain a necessary condition of the graphs to induce an odd-periodic Grover walk.

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