Magic State Factory Catalog

[\![22256,\,8,\,2]\!]

One factory with n=22256 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[22256, 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—17d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![22185,\,8,\,2]\!] · [\![23400,\,8,\,2]\!] · [\![24320,\,8,\,2]\!] · [\![18936,\,8,\,2]\!] · [\![18907,\,8,\,2]\!] · [\![17391,\,8,\,2]\!] · [\![12357,\,8,\,2]\!] · [\![11696,\,8,\,2]\!] · [\![11448,\,8,\,2]\!] · [\![11120,\,8,\,2]\!] · [\![11049,\,8,\,2]\!] · [\![10230,\,8,\,2]\!]