Magic State Factory Catalog

[\![112,\,12,\,3]\!]

One factory with n=112 inputs, k=12 outputs and distance d=3.

Inequivalent gates at [[112, 12, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{0,1,2}\cdot \mathrm{CCZ}_{3,4,5}\cdot \mathrm{CCZ}_{6,7,8}\cdot \mathrm{CCZ}_{9,10,11}2.40219d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![100,\,12,\,3]\!] · [\![99,\,12,\,3]\!] · [\![127,\,12,\,3]\!] · [\![96,\,12,\,3]\!] · [\![95,\,12,\,3]\!] · [\![94,\,12,\,3]\!] · [\![92,\,12,\,3]\!] · [\![90,\,12,\,3]\!] · [\![88,\,12,\,3]\!] · [\![86,\,12,\,3]\!] · [\![84,\,12,\,3]\!] · [\![82,\,12,\,3]\!]