Magic State Factory Catalog

[\![635,\,3,\,2]\!]

One factory with n=635 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[635, 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}—10d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![636,\,3,\,2]\!] · [\![661,\,3,\,2]\!] · [\![573,\,3,\,2]\!] · [\![561,\,3,\,2]\!] · [\![725,\,3,\,2]\!] · [\![541,\,3,\,2]\!] · [\![525,\,3,\,2]\!] · [\![509,\,3,\,2]\!] · [\![508,\,3,\,2]\!] · [\![504,\,3,\,2]\!] · [\![333,\,3,\,2]\!] · [\![316,\,3,\,2]\!]