Fig. 3
Coherent shuttling and S-T 0 oscillations. a–c Measured spin-singlet probability as a function of the waiting time in the (1100), (1010), or (1001) charge state (error bars indicate 95% confidence intervals). This waiting time occurs in between separating the electrons and trying to bring them back together. The spin-singlet probability is fitted with a Gaussian damped cosine function with a constant phase shift. The fitted S-T 0 oscillation frequencies are: 103 ± 5, 118 ± 7, and 185 ± 14 MHz respectively. The fitted contrasts are 0.63 ± 0.12, 0.62 ± 0.14, and 0.57 ± 0.15. The damping is attributed to the random nuclear fields in the two dots and the phase shift accounts for the additional shuttle towards the measurement point. d Bloch sphere representation of a singlet-triplet qubit. For a spin singlet distributed over two separated dots, the exchange interaction J is small and the Zeeman energy difference between the dots, \(\Delta E_z^{i,j}\), dominates
