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.
Distilling one-qubit magic states into toffoli states.Physical Review A—Atomic, Molecular, and Optical Physics, 87(3):032321, 2013
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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.