Pauli Envelope framework enables optimal loss-distance correction (d_loss ~ d) for rotated surface codes via Mid-SWAP circuits and Envelope-MLE decoder, with simulations showing up to 40% higher thresholds.
Proof.Similar to the proof of Theorem 3, we define the effective weightω= 2n p + 1.5nl
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Achieving Optimal-Distance Atom-Loss Correction via Pauli Envelope
Pauli Envelope framework enables optimal loss-distance correction (d_loss ~ d) for rotated surface codes via Mid-SWAP circuits and Envelope-MLE decoder, with simulations showing up to 40% higher thresholds.