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}.
arXiv preprint arXiv:1408.3379 , year=
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Magic state cultivation prepares high-fidelity T states with an order of magnitude fewer qubit-rounds than prior distillation methods by gradually growing them within a surface code under depolarizing noise.
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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}.
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Magic state cultivation: growing T states as cheap as CNOT gates
Magic state cultivation prepares high-fidelity T states with an order of magnitude fewer qubit-rounds than prior distillation methods by gradually growing them within a surface code under depolarizing noise.