Fig. 5: Different strategies for the d = 3 guessing game.
From: Experimental study of quantum uncertainty from lack of information
The probabilities of the successful guessing in the experiment are shown as the blue circles with the theoretically predicted values shown as the red stars. For each strategy, the probe state is prepared with H1, H2, and two HBDs in Fig. 3(b). The best-known strategy corresponds to data “3" and the corresponding setting of H1 (θ1) and H2 (θ2) for the input state preparation is shown as the green dot in the inset figure, meanwhile, the settings for other strategies are shown as the other colored dots. Notice that for the data point “8" the theoretically predicted value is much lower than for the other states. This is because the input state of data point “8" lies much further away from the best-known strategy of data point “3" than all the other considered states, as can be seen on the inset. More information about the settings of the waveplates H1, H2, Q1, H12 and the detailed numerical values of the corresponding guessing probabilities are given in Supplementary Note 2.
