Fig. 4: Experimental demonstration of control-assisted quantum hypothesis testing.
From: Enhanced quantum hypothesis testing via the interplay between coherent evolution and noises

The experiment for the discrimination of two magnetic fields along z-direction with B0 = 0.2 nT, B1 = 2.79 nT, a coherent control along x-direction with Bc = 0.75 nT is added. The black dashed line represents the simulated result under the unitary dynamics. The brown dashed line denotes T2 = 2T1. The gray dashed line represents the simulated result without Bc under the noisy dynamics with T2 = 1.0 s. The solid line is the theoretical simulation with Bc under the noisy dynamics, and the experimental data are represented with triangles, squares and diamonds for different noisy strengths. The error bars are obtained from eight repeated experiments. The longitudinal relaxation time T1 = 7.4 s. The inset displays the dependence of the maximum enhancement on the control field Bc.