For unitary-invariant random gate distributions, operator spreading follows drift-diffusion with distribution-dependent butterfly velocity and diffusion constant, plus finite-time and domain-wall corrections.
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Operator Spreading in Random Unitary Circuits with Unitary-invariant Gate Distributions
For unitary-invariant random gate distributions, operator spreading follows drift-diffusion with distribution-dependent butterfly velocity and diffusion constant, plus finite-time and domain-wall corrections.