U(1)-covariant adjacent-charge encoders have an exact n^{-1/2} optimal flagged-erasure error, and the studied local-Haar brickwork circuits cannot reach it before Omega(n^2) cycles.
Applying it to every source after the first cycle and repeating the telescoping argument of Lemma 13 proves Eq
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Diffusive Speed Limits for U(1)-Covariant Quantum Error Correction
U(1)-covariant adjacent-charge encoders have an exact n^{-1/2} optimal flagged-erasure error, and the studied local-Haar brickwork circuits cannot reach it before Omega(n^2) cycles.