31 citations · 59 across the 3 of their papers we have counts for
4 papers · 1 filter
Inefficient quantum walks on networks: the role of the density of states
Oliver Muelken
We show by general arguments that networks whose density of states contains few highly degenerate eigenvalues result in inefficient performances of continuous-time quantum walks (C…
Quantum transport on two-dimensional regular graphs
Antonio Volta, Oliver Muelken, Alexander Blumen
We study the quantum-mechanical transport on two-dimensional graphs by means of continuous-time quantum walks and analyse the effect of different boundary conditions (BCs). For per…
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…
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…