33 citations · 67 across the 19 of their papers we have counts for
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math.CO2021
The average search probabilities of discrete-time quantum walks
Hanmeng Zhan
We study the average probability that a discrete-time quantum walk finds a marked vertex on a graph. We first show that, for a regular graph, the spectrum of the transition matrix…
math.CO2021★ 1 cited
Pretty good state transfer in discrete-time quantum walks
Ada Chan, Hanmeng Zhan
We establish the theory for pretty good state transfer in discrete-time quantum walks. For a class of walks, we show that pretty good state transfer is characterized by the spectru…