Random global pulses in Rydberg chains generate states with Haar-like statistics at long times for weak interactions, while optimal control prepares generic symmetric states with infidelities from 10^{-5} to 3e-2 for 9 spins, worsening with entanglement entropy.
1 η2 − V−∆ max Ωmax 2# .(C15) •Ifη > η +, the integration domain is empty, and ρ(η) = 0.(C16) Therefore, forV(d)>∆ max, ρ(η) = V(d) Ωmax ,0≤η≤η −, Ωmax 4∆max
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Random-State Generation and Preparation Complexity in Rydberg Atom Arrays
Random global pulses in Rydberg chains generate states with Haar-like statistics at long times for weak interactions, while optimal control prepares generic symmetric states with infidelities from 10^{-5} to 3e-2 for 9 spins, worsening with entanglement entropy.