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quant-ph2005★ 24 cited
Continuous time quantum walks in phase space
Oliver Muelken, Alexander Blumen
We formulate continuous time quantum walks (CTQW) in a discrete quantum mechanical phase space. We define and calculate the Wigner function (WF) and its marginal distributions for…
quant-ph2005★ 38 cited
Asymmetries in symmetric quantum walks on two-dimensional networks
Oliver Muelken, Antonio Volta, Alexander Blumen
We study numerically the behavior of continuous-time quantum walks over networks which are topologically equivalent to square lattices. On short time scales, when placing the initi…