Fig. 3: Scaling behaviour of the prethermal lifetime with driving frequency.
From: Prethermalization by random multipolar driving on a 78-qubit processor
a, Various system configurations and their corresponding power-law scaling exponents. These scaling exponents closely follow the theoretically predicted value of α(n) = 2n + 1 (black horizontal dashed lines). b, Decay of the imbalance shown in a log scale. The markers represent the experimental data, and the dashed and solid curves are obtained using the GMPS with bond dimension χ = 96 and PEPS, for T = 7 ns and T = 4 ns, respectively, with 2-RMD drives. Numerical methods can capture only the early time evolution. c,d, The power-law scaling of the prethermal lifetime obtained from the dynamics of the imbalance τI (c) and the subsystem entanglement entropy τS (d) in the 78-qubit system. A larger multipolar order n significantly suppresses the heating rates. The subsystem for calculating the entanglement entropy comprises qubits {Q5,3, Q6,3}. The dashed lines are linear fits used to extract the scaling exponent, and the shaded regions indicate the corresponding confidence intervals of the fits. Error bars indicate 1 standard deviation of the experimental results, averaged over 10 independent RMD sequences.
