We now measure the ability for each of the ramp profiles in Sec. II to prepare our spin system into the ground state of Eqn. 1 at B = 0. For this measurement, we use N = 6 ions and create AFM spin-spin interactions of the form J i,j ≈ (0.77 kHz)/|i−j|. These long-range AFM interactions lead to a fully-connected, frustrated system as all couplings cannot be simultaneously satisfied. Nevertheless, the ground state of the system is easily calculable for 6 spins and is found to be a superposition of the two Néel-ordered AFM states, (|010101 + |101010 )/ √ 2. Fig. 3(a) shows the probability of creating the AFM ground state when the transverse field B(t) is ramped using linear, exponential, and local adiabatic profiles. The total ramp time t f is varied from 0 to 2.4 ms, with a new ramp profile calculated for each t f . Each **data** point is the result of 4000 repetitions of the same experiment, with error bars that account for statistical uncertainty as well as estimated drifts in the Ising coupling strengths. In agreement with the predictions in Sec. II, the **data** show that local adiabatic ramps prepare the ground state with higher fidelity than exponential or linear ramps.