Extended Data Fig. 6: Predicting fidelity scaling. | Nature

Extended Data Fig. 6: Predicting fidelity scaling.

From: Preparing random states and benchmarking with many-body quantum chaos

Extended Data Fig. 6

a, We use our ab initio error model (which includes state preparation errors) to predict the fidelity decay rate as a function of system size. For various system sizes we plot the model fidelity (solid lines), as well as fits to exponential decay with an unconstrained value at t = 0 (dashed lines), which we see are consistent with the time-dependent fidelity. b, For the range of system sizes for which our error model is readily calculable, we see the fidelity decay rate normalized by the Rabi frequency, γ(N)Ω/2π (markers), is consistent with a linear function of system size (red line). The shaded region comes from uncertainty in the fit parameters.

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