In the large-Hilbert-space limit, Floquet chaotic dynamics with Haar random gates produce linear shot-noise scaling of quantum Fisher information, with super-linear advantages at finite sizes, while local random circuits asymptotically mimic global unitaries.
7, with the “ladder” structure of the dia- gram the local density operatorρ [µ] at siteµappears alone in a T-loop as Tr[ρ[µ]]
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Asymptotic Metrological Scaling and Concentration in Chaotic Floquet Dynamics
In the large-Hilbert-space limit, Floquet chaotic dynamics with Haar random gates produce linear shot-noise scaling of quantum Fisher information, with super-linear advantages at finite sizes, while local random circuits asymptotically mimic global unitaries.