Magic State Factory Catalog

[\![22517,\,5,\,2]\!]

One factory with n=22517 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[22517, 5, 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{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{34}—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![22523,\,5,\,2]\!] · [\![22171,\,5,\,2]\!] · [\![24323,\,5,\,2]\!] · [\![24570,\,5,\,2]\!] · [\![24571,\,5,\,2]\!] · [\![25051,\,5,\,2]\!] · [\![17530,\,5,\,2]\!] · [\![16378,\,5,\,2]\!] · [\![28665,\,5,\,2]\!] · [\![28666,\,5,\,2]\!] · [\![14330,\,5,\,2]\!] · [\![14329,\,5,\,2]\!]