Magic State Factory Catalog

[\![256,\,9,\,4]\!]

One factory with n=256 inputs, k=9 outputs and distance d=4.

Inequivalent gates at [[256, 9, 4]]. 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}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{026}\cdot \mathrm{CCZ}_{035}\cdot \mathrm{CCZ}_{036}\cdot \mathrm{CCZ}_{045}\cdot \mathrm{CCZ}_{046}\cdot \mathrm{CCZ}_{056}\cdot \mathrm{CCZ}_{127}\cdot \mathrm{CCZ}_{128}\cdot \mathrm{CCZ}_{137}\cdot \mathrm{CCZ}_{138}\cdot \mathrm{CCZ}_{14}\cdots 36 terms—24d = 4Jain et al. (2026)

Nearest lengths with the same k and d: [\![176,\,9,\,4]\!] · [\![100,\,9,\,4]\!]