Magic State Factory Catalog

[\![99,\,16,\,3]\!]

One factory with n=99 inputs, k=16 outputs and distance d=3.

Inequivalent gates at [[99, 16, 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{T}_{11}\cdot \mathrm{T}_{12}\cdot \mathrm{CCZ}_{13,14,15}1.71823d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![100,\,16,\,3]\!] · [\![112,\,16,\,3]\!] · [\![127,\,16,\,3]\!] · [\![63,\,16,\,3]\!] · [\![155,\,16,\,3]\!]