Magic State Factory Catalog

[\![410,\,6,\,2]\!]

One factory with n=410 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[410, 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 T6.09516d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![404,\,6,\,2]\!] · [\![403,\,6,\,2]\!] · [\![441,\,6,\,2]\!] · [\![442,\,6,\,2]\!] · [\![448,\,6,\,2]\!] · [\![346,\,6,\,2]\!] · [\![330,\,6,\,2]\!] · [\![490,\,6,\,2]\!] · [\![504,\,6,\,2]\!] · [\![506,\,6,\,2]\!] · [\![516,\,6,\,2]\!] · [\![282,\,6,\,2]\!]