27 citations · 27 across the 3 of their papers we have counts for
3 papers
quant-ph2016
Indistinguishable quantum walks on graphs relative to a bipartite quantum walker
Phillip R. Dukes
A distinguishability operator is defined for the continuous-time quantum walk (CTQW) of a bipartite quantum walker on two simply connected graphs, $W_{G_i,G_j} = U_{G_i}\left(t\rig…
quant-ph2015
Continuous-time quantum walks over connected graphs, amplitudes and invariants
Phillip Dukes
We examine the time dependent amplitude at each vertex of a continuous-time quantum walk on the cycle . In many cases the Lissajous curve of the…
quant-ph2014★ 27 cited
Quantum state revivals in quantum walks on cycles
Phillip R. Dukes
Recurrence in the classical random walk is well known and described by the Pólya number. For quantum walks, recurrence is similarly understood in terms of the probability of a loca…