Magic State Factory Catalog

[\![509,\,3,\,2]\!]

One factory with n=509 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[509, 3, 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} pure T7.40711d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![508,\,3,\,2]\!] · [\![504,\,3,\,2]\!] · [\![525,\,3,\,2]\!] · [\![541,\,3,\,2]\!] · [\![561,\,3,\,2]\!] · [\![573,\,3,\,2]\!] · [\![635,\,3,\,2]\!] · [\![636,\,3,\,2]\!] · [\![661,\,3,\,2]\!] · [\![333,\,3,\,2]\!] · [\![316,\,3,\,2]\!] · [\![315,\,3,\,2]\!]