Magic State Factory Catalog

[\![819,\,11,\,2]\!]

One factory with n=819 inputs, k=11 outputs and distance d=2.

Inequivalent gates at [[819, 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—17d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![820,\,11,\,2]\!] · [\![809,\,11,\,2]\!] · [\![757,\,11,\,2]\!] · [\![756,\,11,\,2]\!] · [\![725,\,11,\,2]\!] · [\![713,\,11,\,2]\!] · [\![565,\,11,\,2]\!] · [\![441,\,11,\,2]\!] · [\![413,\,11,\,2]\!] · [\![404,\,11,\,2]\!] · [\![403,\,11,\,2]\!] · [\![373,\,11,\,2]\!]