Magic State Factory Catalog

[\![2040,\,4,\,2]\!]

One factory with n=2040 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[2040, 4, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{123}—12d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2012,\,4,\,2]\!] · [\![2212,\,4,\,2]\!] · [\![2295,\,4,\,2]\!] · [\![2296,\,4,\,2]\!] · [\![2316,\,4,\,2]\!] · [\![2508,\,4,\,2]\!] · [\![1564,\,4,\,2]\!] · [\![1532,\,4,\,2]\!] · [\![1530,\,4,\,2]\!] · [\![2555,\,4,\,2]\!] · [\![2556,\,4,\,2]\!] · [\![2574,\,4,\,2]\!]