Magic State Factory Catalog

[\![1397,\,5,\,2]\!]

One factory with n=1397 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[1397, 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}\cdot \mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{34}—12d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1403,\,5,\,2]\!] · [\![1491,\,5,\,2]\!] · [\![1530,\,5,\,2]\!] · [\![1531,\,5,\,2]\!] · [\![1547,\,5,\,2]\!] · [\![1221,\,5,\,2]\!] · [\![1050,\,5,\,2]\!] · [\![1018,\,5,\,2]\!] · [\![1785,\,5,\,2]\!] · [\![1786,\,5,\,2]\!] · [\![1802,\,5,\,2]\!] · [\![946,\,5,\,2]\!]