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  • Letter

Optimized noise-resilient surface code teleportation interfaces

Mohamed A. Shalby1, Renyu Wang1, Denis Sedov2, and Leonid P. Pryadko1

Phys. Rev. A 112, L020403 – Published 22 August, 2025

DOI: https://doi.org/10.1103/xqrn-wdw1

Abstract

Connecting two surface-code patches may require significantly higher noise at the interface. We show, via circuit-level simulations under a depolarizing noise model with idle errors, that surface codes remain fault tolerant despite substantially elevated interface error rates. Specifically, we compare three strategies—direct noisy links, gate teleportation, and a CAT-state gadget—for both rotated and unrotated surface codes, and demonstrate that careful design can mitigate hook errors in each case so that the full code distance is preserved for both X and Z. Although these methods differ in space and time overhead and performance, each offers a viable route to modular surface-code architectures. Our results, obtained with stim and pymatching, confirm that high-noise interfaces can be integrated fault-tolerantly without compromising the code's essential properties, indicating that fault-tolerant scaling of error-corrected modular devices is within reach with current technology.

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