Magic State Factory Catalog

[\![21173,\,11,\,2]\!]

One factory with n=21173 inputs, k=11 outputs and distance d=2.

Inequivalent gates at [[21173, 11, 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{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9}\cdot \mathrm{T}_{10}\cdot \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,}\cdots 66 terms—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![21515,\,11,\,2]\!] · [\![21546,\,11,\,2]\!] · [\![21547,\,11,\,2]\!] · [\![22479,\,11,\,2]\!] · [\![19289,\,11,\,2]\!] · [\![17073,\,11,\,2]\!] · [\![15188,\,11,\,2]\!] · [\![14725,\,11,\,2]\!] · [\![29925,\,11,\,2]\!] · [\![30388,\,11,\,2]\!] · [\![11919,\,11,\,2]\!] · [\![11317,\,11,\,2]\!]