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- W2950088793 abstract "The connection between coined and continuous-time quantum walk models has been addressed in a number of papers. In most of those studies, the continuous-time model is derived from coined quantum walks by employing dimensional reduction and taking appropriate limits. In this work, we produce the evolution of a coined quantum walk on a generic graph using a continuous-time quantum walk on a larger graph. In addition to expanding the underlying structure, we also have to switch on and off edges during the continuous-time evolution to accommodate the alternation between the shift and coin operators from the coined model. In one particular case, the connection is very natural, and the continuous-time quantum walk that simulates the coined quantum walk is driven by the graph Laplacian on the dynamically changing expanded graph." @default.
- W2950088793 created "2019-06-27" @default.
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- W2950088793 date "2016-06-13" @default.
- W2950088793 modified "2023-09-26" @default.
- W2950088793 title "Exact simulation of coined quantum walks with the continuous-time model" @default.
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