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.
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Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
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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.
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Quantum Dynamics in Krylov Space: Methods and Applications
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.