Magic State Factory Catalog

[\![2160,\,8,\,2]\!]

One factory with n=2160 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[2160, 8, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{016}\cdot \mathrm{CCZ}_{017}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{026}\cdot \mathrm{CCZ}_{027}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{035}\cdot \mathrm{CCZ}_{036}\cdot \mathrm{CCZ}_{037}\cdot \mathrm{CCZ}_{045}\cdot \mathrm{CCZ}_{04}\cdots 56 terms—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2159,\,8,\,2]\!] · [\![2176,\,8,\,2]\!] · [\![2295,\,8,\,2]\!] · [\![2296,\,8,\,2]\!] · [\![2008,\,8,\,2]\!] · [\![2312,\,8,\,2]\!] · [\![2331,\,8,\,2]\!] · [\![2360,\,8,\,2]\!] · [\![2424,\,8,\,2]\!] · [\![2492,\,8,\,2]\!] · [\![2550,\,8,\,2]\!] · [\![2552,\,8,\,2]\!]