Magic State Factory Catalog

[\![2556,\,3,\,2]\!]

One factory with n=2556 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[2556, 3, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{12}\cdot \mathrm{CCZ}_{012}—13d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2555,\,3,\,2]\!] · [\![2541,\,3,\,2]\!] · [\![2641,\,3,\,2]\!] · [\![2045,\,3,\,2]\!] · [\![2044,\,3,\,2]\!] · [\![2040,\,3,\,2]\!] · [\![2013,\,3,\,2]\!] · [\![1717,\,3,\,2]\!] · [\![1485,\,3,\,2]\!] · [\![1293,\,3,\,2]\!] · [\![1276,\,3,\,2]\!] · [\![1275,\,3,\,2]\!]