Magic State Factory Catalog

[\![722,\,6,\,2]\!]

One factory with n=722 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[722, 6, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5} pure T6.91113d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![698,\,6,\,2]\!] · [\![682,\,6,\,2]\!] · [\![658,\,6,\,2]\!] · [\![819,\,6,\,2]\!] · [\![820,\,6,\,2]\!] · [\![570,\,6,\,2]\!] · [\![889,\,6,\,2]\!] · [\![554,\,6,\,2]\!] · [\![890,\,6,\,2]\!] · [\![916,\,6,\,2]\!] · [\![516,\,6,\,2]\!] · [\![506,\,6,\,2]\!]