LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.
Alba, More on the operator space entanglement (ose): Renyi ose, revivals, and integrability breaking, Journal of Physics A: Mathematical and Theoretical58, 175003 (2025)
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Page Curve for Local-Operator Entanglement from Free Probability
LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.