Magic State Factory Catalog

[\![1221,\,5,\,2]\!]

One factory with n=1221 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[1221, 5, 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} pure T7.93216d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1050,\,5,\,2]\!] · [\![1397,\,5,\,2]\!] · [\![1403,\,5,\,2]\!] · [\![1018,\,5,\,2]\!] · [\![1491,\,5,\,2]\!] · [\![946,\,5,\,2]\!] · [\![1530,\,5,\,2]\!] · [\![1531,\,5,\,2]\!] · [\![1547,\,5,\,2]\!] · [\![891,\,5,\,2]\!] · [\![890,\,5,\,2]\!] · [\![889,\,5,\,2]\!]