Extended Data Fig. 2: Universality of moments of the projected ensemble.
From: Preparing random states and benchmarking with many-body quantum chaos
kth moments of the conditional probability distributions in Fig. 2b,d, evaluated at intermediate time (Ωt/2π = 2.3) and for a variety of choices of subsystems (see panel on the right); we find a universal convergence to ≈ k!, independent of subsystem choice, suggesting that a subsystem’s projected ensemble converges to the uniform random ensemble irrespective of the details of placement, or connectivity. Error bars are the standard deviation over temporal fluctuations in moments near the evaluated time, as shown in Fig. 3a.
