Magic State Factory Catalog

[\![176,\,9,\,4]\!]

One factory with n=176 inputs, k=9 outputs and distance d=4.

Inequivalent gates at [[176, 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}_{016}\cdot \mathrm{CCZ}_{017}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{028}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{035}\cdot \mathrm{CCZ}_{046}\cdot \mathrm{CCZ}_{067}\cdot \mathrm{CCZ}_{068}\cdot \mathrm{CCZ}_{078}\cdot \mathrm{CCZ}_{12}\cdots 41 terms—20d = 4Jain et al. (2026)

Nearest lengths with the same k and d: [\![100,\,9,\,4]\!] · [\![256,\,9,\,4]\!]