Transferred magnetization data presented in arxiv.org/abs/2306.09333. The files are named according to the parameters mu, which describes the initial magnetization imbalance, and Delta, which describes the relative strengths of XX+YY and ZZ in the Hamiltonian. Each file contains a dictionary with the following keys (see manuscript for further details): n: Number of qubitsmu: Initial magnetization imbalance parametertheta: fSim-gate parameter controlling XX+YY couplingphi: fSim-gate parameter controlling ZZ couplingmean: Mean magnetization transfer as a function of circuit depthd_mean: Uncertainty in mean magnetization transfermoments: n-th central moments for as a function of circuit depth, starting with n=0d_moments: Uncertainty in central momentsskewness: Skewness of distribution of transferred magnetization as a function of circuit depthd_skewness: Uncertainty in skewness as a function of circuit depthkurtosis: Kurtosis of distribution of transferred magnetization as a function of circuit depthd_kurtosis: Uncertainty in kurtosis as a function of circuit depthZ: Expectation value of Z for each initial state, qubit and circuit depthnTrials: Number of different initial states investigated In addition, the file `numerical_simulation_results.zip` contains the results of classical statevector simulations of our experiment, up to cycle 18.