Magic State Factory Catalog

[\![29925,\,11,\,2]\!]

One factory with n=29925 inputs, k=11 outputs and distance d=2.

Inequivalent gates at [[29925, 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: [\![30388,\,11,\,2]\!] · [\![22479,\,11,\,2]\!] · [\![21547,\,11,\,2]\!] · [\![21546,\,11,\,2]\!] · [\![21515,\,11,\,2]\!] · [\![21173,\,11,\,2]\!] · [\![19289,\,11,\,2]\!] · [\![17073,\,11,\,2]\!] · [\![43029,\,11,\,2]\!] · [\![43371,\,11,\,2]\!] · [\![43434,\,11,\,2]\!] · [\![15188,\,11,\,2]\!]