Fig. 4: The experimental results for the d = 2 guessing game.
From: Experimental study of quantum uncertainty from lack of information
From the experimentally prepared state \({\rho }_{R}^{\exp }\) with the maximal purity, we estimate γ = 0.9918 ± 0.0009. With this γ, we obtain the maximal guessing probability \({P}_{{{{\rm{guess}}}}}^{\exp }(\gamma ,d=2)=0.9953\pm 0.0003\) and the detected probabilities for each output port are shown in (a). In (b), we vary the degree of coherence of the register state ρR to find the relation between \({P}_{{{{\rm{guess}}}}}^{\max }\) and γ. The analytical solution is plotted as the red line, while the experimental results are given as the blue circles. The x-bars are the standard deviations obtained by repeating the quantum state reconstruction algorithm for input data randomly generated from the experimentally obtained probability distributions. The y-bars are obtained directly from the detection probabilities in D00, D01, D10 and D11.
