Magic State Factory Catalog

[\![7125,\,11,\,2]\!]

One factory with n=7125 inputs, k=11 outputs and distance d=2.

Inequivalent gates at [[7125, 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—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![7588,\,11,\,2]\!] · [\![5653,\,11,\,2]\!] · [\![5487,\,11,\,2]\!] · [\![5457,\,11,\,2]\!] · [\![5131,\,11,\,2]\!] · [\![5130,\,11,\,2]\!] · [\![5033,\,11,\,2]\!] · [\![9653,\,11,\,2]\!] · [\![10245,\,11,\,2]\!] · [\![10587,\,11,\,2]\!] · [\![10602,\,11,\,2]\!] · [\![10603,\,11,\,2]\!]