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Bibliographic Details
Main Authors: Shalby, Mohamed A., Wang, Renyu, Sedov, Denis, Pryadko, Leonid P.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.04968
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Table of Contents:
  • 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.