Magic State Factory Catalog

[\![63,\,16,\,3]\!]

One factory with n=63 inputs, k=16 outputs and distance d=3.

Inequivalent gates at [[63, 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}_{1,4,5}\cdot \mathrm{CCZ}_{1,6,7}\cdot \mathrm{CCZ}_{2,8,9}\cdot \mathrm{CCZ}_{2,10,11}\cdot \mathrm{CCZ}_{3,12,13}\cdot \mathrm{CCZ}_{3,14,15}\cdot \mathrm{CCZ}_{4,8,12}\cdot \mathrm{CCZ}_{4,10,14}\cdot \mathrm{CCZ}_{5,9,13}\cdot \mathrm{CCZ}_{5,11,15}\cdot \mathrm{CCZ}_{}\cdots 16 terms—22d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![99,\,16,\,3]\!] · [\![100,\,16,\,3]\!] · [\![112,\,16,\,3]\!] · [\![127,\,16,\,3]\!] · [\![155,\,16,\,3]\!]