Magic State Factory Catalog

[\![2806,\,9,\,2]\!]

One factory with n=2806 inputs, k=9 outputs and distance d=2.

Inequivalent gates at [[2806, 9, 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}_{06}\cdot \mathrm{CS}_{07}\cdot \mathrm{CS}_{08}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{16}\cdot \mathrm{CS}_{17}\cdot \mathrm{CS}_{18}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{26}\cdot \mathrm{CS}_{27}\cdot \mathrm{CS}_{28}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{35}\cdot \mathrm{CS}_{}\cdots 120 terms—18d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2805,\,9,\,2]\!] · [\![2719,\,9,\,2]\!] · [\![2898,\,9,\,2]\!] · [\![2899,\,9,\,2]\!] · [\![2707,\,9,\,2]\!] · [\![2914,\,9,\,2]\!] · [\![2999,\,9,\,2]\!] · [\![2580,\,9,\,2]\!] · [\![2575,\,9,\,2]\!] · [\![2551,\,9,\,2]\!] · [\![2550,\,9,\,2]\!] · [\![2423,\,9,\,2]\!]