Fig. 3

State tomography of the three MUBs: a, b, c represent the theoretical matrices of the different MUBs; d, e, f show the experimental measurements of the same basis. The state tomography were obtained with 30 s of integration time using a CW 1550 nm laser modulated with a 10 ns pulse at 10 kHz of repetition rate and a mean photon per pulse of 0.2 ± 0.006. By using the (classical) definition of fidelity (F(x, y) = ∑ i (p i q i )1/2, where x and y are random variables and q i and p i are the vector of probability distribution), we obtain an average fidelity of 0.977 ± 0.01