Magic State Factory Catalog

[\![163835,\,3,\,2]\!]

One factory with n=163835 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[163835, 3, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{12}\cdot \mathrm{CCZ}_{012}—18d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![131068,\,3,\,2]\!] · [\![131064,\,3,\,2]\!] · [\![81916,\,3,\,2]\!] · [\![81915,\,3,\,2]\!] · [\![65789,\,3,\,2]\!] · [\![262136,\,3,\,2]\!] · [\![65533,\,3,\,2]\!] · [\![65532,\,3,\,2]\!] · [\![65528,\,3,\,2]\!] · [\![48653,\,3,\,2]\!] · [\![41021,\,3,\,2]\!] · [\![40956,\,3,\,2]\!]