Magic State Factory Catalog

[\![127,\,16,\,3]\!]

One factory with n=127 inputs, k=16 outputs and distance d=3.

Inequivalent gates at [[127, 16, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{CCZ}_{1,2,3}\cdot \mathrm{CCZ}_{4,5,6}\cdot \mathrm{CCZ}_{7,8,9}\cdot \mathrm{CCZ}_{10,11,12}\cdot \mathrm{CCZ}_{13,14,15}2.22723d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![112,\,16,\,3]\!] · [\![100,\,16,\,3]\!] · [\![99,\,16,\,3]\!] · [\![155,\,16,\,3]\!] · [\![63,\,16,\,3]\!]