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- W4283587574 abstract "The continuous-time quantum walk denotes the evolution of a particle on a given graph governed by Schrodinger's equation. For different applications, the corresponding Hamiltonian is proportional to either the Laplacian or the adjacency matrix of the graph. The two quantum walks are equivalent on regular graphs, since each vertex has the same degree. However, for irregular graphs, the evolutions of the two quantum walks are generally different. In this paper, we report an experimental investigation of the two quantum walks on irregular graphs with single photons and interferometric networks. We demonstrate that it is possible to obtain equivalent probability distributions with the two quantum walks on specific irregular graphs, where the particle is initially localized at a vertex or uniformly distributed at multiple vertices. Our results not only deepen the understanding of the equivalence between the two quantum walks, but also extend the application of the continuous-time quantum walk." @default.
- W4283587574 created "2022-06-28" @default.
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- W4283587574 date "2022-06-27" @default.
- W4283587574 modified "2023-10-18" @default.
- W4283587574 title "Experimental investigation of equivalent Laplacian and adjacency quantum walks on irregular graphs" @default.
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- W4283587574 doi "https://doi.org/10.1103/physreva.105.062448" @default.
- W4283587574 hasPublicationYear "2022" @default.
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