Magic State Factory Catalog

[\![315,\,3,\,2]\!]

One factory with n=315 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[315, 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}—9d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![316,\,3,\,2]\!] · [\![301,\,3,\,2]\!] · [\![333,\,3,\,2]\!] · [\![277,\,3,\,2]\!] · [\![269,\,3,\,2]\!] · [\![253,\,3,\,2]\!] · [\![252,\,3,\,2]\!] · [\![248,\,3,\,2]\!] · [\![229,\,3,\,2]\!] · [\![161,\,3,\,2]\!] · [\![156,\,3,\,2]\!] · [\![155,\,3,\,2]\!]