Surface code scaling on heavy-hex superconducting quantum processors.

Vezvaee, Arian; Benito, Cesar; Morford-Oberst, Mario; Bermudez, Alejandro; Lidar, Daniel A · Nat Commun · 2026

basic_science · Level V

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Abstract

Demonstrating subthreshold scaling of a surface-code quantum memory on hardware whose native connectivity does not match the code remains a central challenge. We address this on IBM heavy-hex superconducting processors by co-designing the code embedding and control: a depth-minimizing SWAP-based "fold-unfold" embedding that uses bridge ancillas, together with robust, gap-aware dynamical decoupling (DD). We show that anisotropic scaling from distance 3 to (d<sub>x</sub> = 3, d<sub>z</sub> = 5) and (d<sub>x</sub> = 5, d<sub>z</sub> = 3) improves protection of Z- and X-basis logical states, respectively, and a calibrated  ~ 30% noise reduction would enable isotropic (5, 5)-versus-(3, 3) scaling on this heavy-hex layout. We show that DD suppresses coherent ZZ crosstalk and non-Markovian dephasing during idle gaps, eliminating spurious subthreshold claims. To quantify performance, we derive an entanglement fidelity metric which reveals that widely used single-parameter suppression-factor fits can mischaracterize code performance. Our results provide a path to robust subthreshold surface-code scaling through optimized DD on non-native architectures.