A new nearest-neighbor twist-defect braiding protocol implements the logical S gate in the surface code at 2d × d × d spacetime volume with logical error rates comparable to prior methods for d ≥ 5 near p = 10^{-3}.
Gidney, Inplace access to the surface code y basis, Quantum 8, 1310 (2024)
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A $\boldsymbol{2d \times d \times d}$ Spacetime Volume Implementation of a Logical S Gate in the Surface Code
A new nearest-neighbor twist-defect braiding protocol implements the logical S gate in the surface code at 2d × d × d spacetime volume with logical error rates comparable to prior methods for d ≥ 5 near p = 10^{-3}.