Figure 4: Results for Random Gates.

Experimental data showing the probability with which the photon exits from a port when determining if a pair of random gates commute or anti-commute. 50 commuting and 50 anti-commuting pairs of gates were tested, of which 10 for each case are shown here. The full data set is presented in the Supplementary Fig. 2. The data representation in this figure follows the same convention as in Fig. 3. However, here the x axis is labelled Ai for anti-commuting case number i, and Ci for commuting case number i.