Directivity of Quantum Walk via Its Random Walk Replica

Figure 2

Graphical expressions of QWRW for (a) example 1 (site-homogeneous model) and (b) example 2 (one-defect model). The upper figure of each panel illustrates the space-time diagrams of the probability distribution. Circular markers are located at the coordinates such that with their color indicating the value of . The darker the color is, the larger the value of is. The lower figure of each panel shows probability distribution of QWRW at the time instant , which exactly matching the distribution of the original QWs.

(a)

(b)