Magic State Factory Catalog

[\![11919,\,11,\,2]\!]

One factory with n=11919 inputs, k=11 outputs and distance d=2.

Inequivalent gates at [[11919, 11, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{0,1}\cdot \mathrm{CS}_{0,2}\cdot \mathrm{CS}_{0,3}\cdot \mathrm{CS}_{0,4}\cdot \mathrm{CS}_{0,5}\cdot \mathrm{CS}_{0,6}\cdot \mathrm{CS}_{0,7}\cdot \mathrm{CS}_{0,8}\cdot \mathrm{CS}_{0,9}\cdot \mathrm{CS}_{0,10}\cdot \mathrm{CS}_{1,2}\cdot \mathrm{CS}_{1,3}\cdot \mathrm{CS}_{1,4}\cdot \mathrm{CS}_{1,5}\cdot \mathrm{CS}_{1,6}\cdot \mathrm{CS}_{1,7}\cdot \mathrm{CS}_{1,8}\cdot \mathrm{CS}_{1,9}\cdot \mathrm{CS}_{1,10}\cdot \mathrm{C}\cdots 220 terms—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![11317,\,11,\,2]\!] · [\![11151,\,11,\,2]\!] · [\![10603,\,11,\,2]\!] · [\![10602,\,11,\,2]\!] · [\![10587,\,11,\,2]\!] · [\![10245,\,11,\,2]\!] · [\![9653,\,11,\,2]\!] · [\![14725,\,11,\,2]\!] · [\![15188,\,11,\,2]\!] · [\![7588,\,11,\,2]\!] · [\![7125,\,11,\,2]\!] · [\![17073,\,11,\,2]\!]