Figure 3
From: Quantum random walks on congested lattices and the effect of dephasing

The variance σ2 and the escape probability for a QRW plotted as a function of time t for varying congestion probabilities 1−
on a two-dimensional square lattice of size tmax = 75.
(a) Reduced spreading is observed as congestion increases but the QRW maintains its advantages over CRWs with congestion. (b) The walker quickly escapes the boundary as compared to the classical walker. As decreases the jump in
becomes less prominent as shown for an escape boundary of
.