Magic State Factory Catalog

[\![20490,\,12,\,2]\!]

One factory with n=20490 inputs, k=12 outputs and distance d=2.

Inequivalent gates at [[20490, 12, 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{T}_{11}\cdot \mathrm{CCZ}_{0,1,2}\cdot \mathrm{CCZ}_{0,1,3}\cdot \mathrm{CCZ}_{0,1,4}\cdot \mathrm{CCZ}_{0,1,5}\cdot \mathrm{CCZ}_{0,1,6}\cdot \mathrm{CCZ}_{0,1,7}\cdot \mathrm{CCZ}_{0,1,8}\cdot \mathrm{CCZ}_{0,1,9}\cdot \mathrm{CCZ}_{0,1,}\cdots 232 terms—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![20124,\,12,\,2]\!] · [\![21052,\,12,\,2]\!] · [\![16244,\,12,\,2]\!] · [\![24955,\,12,\,2]\!] · [\![24956,\,12,\,2]\!] · [\![15748,\,12,\,2]\!] · [\![15160,\,12,\,2]\!] · [\![14235,\,12,\,2]\!] · [\![12076,\,12,\,2]\!] · [\![12075,\,12,\,2]\!] · [\![29419,\,12,\,2]\!] · [\![11445,\,12,\,2]\!]