Extended Data Fig. 11: Reproduction of main results in a separate cooldown.

The measurements in Fig. 4 were repeated for validation during a separate cooldown of the same device. First, two-site sweet spots were obtained for both two-site pairs, as in Fig. 1. a. CSDs for resonances in the left and middle QD, varying \({V}_{{\rm{ABS}}}^{{\rm{1}}}\) in a range where the avoided crossing changes direction to determine the sweet spot (panel ii). Similarly, a sweet spot was obtained for the middle and right QD, upon varying \({V}_{{\rm{ABS}}}^{{\rm{2}}}\), shown in b. The magnetic field B_z corresponding to ϕ_Δ= 0 was determined from the spectroscopy measurements shown in Extended Data Fig. 5g. c. In this configuration, the measurement shown in Fig. 4 was repeated, using the same procedure as detailed in Extended Data Fig. 10. Additionally, we reproduce here the conductance spectra at the sweet spot as a function of d. detuning V_QDR, e. detuning both V_QDL and V_QDR and f. detuning simultaneously all 3 QDs.