Magic State Factory Catalog

[\![11253,\,5,\,2]\!]

One factory with n=11253 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[11253, 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}—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![11259,\,5,\,2]\!] · [\![11099,\,5,\,2]\!] · [\![11451,\,5,\,2]\!] · [\![12091,\,5,\,2]\!] · [\![12282,\,5,\,2]\!] · [\![12283,\,5,\,2]\!] · [\![12388,\,5,\,2]\!] · [\![12443,\,5,\,2]\!] · [\![13603,\,5,\,2]\!] · [\![8778,\,5,\,2]\!] · [\![14106,\,5,\,2]\!] · [\![14329,\,5,\,2]\!]