Magic State Factory Catalog

[\![1023,\,14,\,5]\!]

One factory with n=1023 inputs, k=14 outputs and distance d=5.

Inequivalent gates at [[1023, 14, 5]]. 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{T}_{11}\cdot \mathrm{T}_{12}\cdot \mathrm{T}_{13} pure T2.66634d = 5Jain et al. (2026)

Nearest lengths with the same k and d: [\![511,\,14,\,5]\!]