Local 2D and 3D Reed-Muller distillation factories achieve output infidelities down to 8.256e-9 for CCZ states and 1.1811e-17 for T states from 10^{-3} input infidelity.
Geo- metric structure and transversal logic of quantum reed–muller codes.IEEE Trans- actions on Information Theory, 2025
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Local distillation from Reed Muller codes unfolding
Local 2D and 3D Reed-Muller distillation factories achieve output infidelities down to 8.256e-9 for CCZ states and 1.1811e-17 for T states from 10^{-3} input infidelity.