Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
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Subsystem information capacity distinguishes critical phases in the generalized Aubry-André-Harper model by exposing spatial heterogeneity, stepwise subsystem-size dependence, and subregion echoes linked to incommensurately distributed zeros in hopping terms.
LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.
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Probing critical phases in quasiperiodic systems via subsystem information capacity
Subsystem information capacity distinguishes critical phases in the generalized Aubry-André-Harper model by exposing spatial heterogeneity, stepwise subsystem-size dependence, and subregion echoes linked to incommensurately distributed zeros in hopping terms.