Magic State Factory Catalog

[\![127,\,26,\,3]\!]

One factory with n=127 inputs, k=26 outputs and distance d=3.

Inequivalent gates at [[127, 26, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9}\cdot \mathrm{T}_{10}\cdot \mathrm{CCZ}_{11,12,13}\cdot \mathrm{CCZ}_{11,14,15}\cdot \mathrm{CCZ}_{11,16,17}\cdot \mathrm{CCZ}_{12,18,19}\cdot \mathrm{CCZ}_{12,20,21}\cdot \mathrm{CCZ}_{13,22,23}\cdot \mathrm{CCZ}_{13,24,25}\cdots 26 terms—33d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![225,\,26,\,3]\!]