Magic State Factory Catalog

[\![256,\,84,\,4]\!]

One factory with n=256 inputs, k=84 outputs and distance d=4.

Inequivalent gates at [[256, 84, 4]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{0,64,83}\cdot \mathrm{CCZ}_{0,65,82}\cdot \mathrm{CCZ}_{0,66,81}\cdot \mathrm{CCZ}_{0,67,80}\cdot \mathrm{CCZ}_{0,68,79}\cdot \mathrm{CCZ}_{0,69,78}\cdot \mathrm{CCZ}_{0,70,77}\cdot \mathrm{CCZ}_{0,71,76}\cdot \mathrm{CCZ}_{0,72,75}\cdot \mathrm{CCZ}_{0,73,74}\cdot \mathrm{CCZ}_{1,54}\cdots 1120 terms—93d = 4Jain et al. (2026)