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.
For the Mid-SWAP syndrome extraction with code dis- tanced, subject to independent atom loss and Pauli er- rors, the loss distance defined in Definition 1 isd loss ∼d
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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.