Magic State Factory Catalog

[\![16376,\,6,\,2]\!]

One factory with n=16376 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[16376, 6, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{05}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{35}\cdot \mathrm{CS}_{45}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdots 35 terms—17d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![16378,\,6,\,2]\!] · [\![16372,\,6,\,2]\!] · [\![17028,\,6,\,2]\!] · [\![15082,\,6,\,2]\!] · [\![14330,\,6,\,2]\!] · [\![14329,\,6,\,2]\!] · [\![13300,\,6,\,2]\!] · [\![13299,\,6,\,2]\!] · [\![12916,\,6,\,2]\!] · [\![12386,\,6,\,2]\!] · [\![12276,\,6,\,2]\!] · [\![11450,\,6,\,2]\!]