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.
Define ¯δ(s0) i (t) = [(OE) tes0 ]i = Pr{St =i|S 0 =s 0},(E4) thet-cycle position distribution of a single particle un- dergoing the lazy reflected random walk on{0,
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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.