Magic State Factory Catalog

[\![1071,\,8,\,2]\!]

One factory with n=1071 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[1071, 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—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1072,\,8,\,2]\!] · [\![1080,\,8,\,2]\!] · [\![1143,\,8,\,2]\!] · [\![1144,\,8,\,2]\!] · [\![1147,\,8,\,2]\!] · [\![1176,\,8,\,2]\!] · [\![1216,\,8,\,2]\!] · [\![1270,\,8,\,2]\!] · [\![1272,\,8,\,2]\!] · [\![1305,\,8,\,2]\!] · [\![1316,\,8,\,2]\!] · [\![1352,\,8,\,2]\!]