Magic State Factory Catalog

[\![135,\,15,\,3]\!]

One factory with n=135 inputs, k=15 outputs and distance d=3.

Inequivalent gates at [[135, 15, 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{T}_{13}\cdot \mathrm{T}_{14} pure T2.00023d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![103,\,15,\,3]\!] · [\![100,\,15,\,3]\!] · [\![99,\,15,\,3]\!] · [\![95,\,15,\,3]\!] · [\![92,\,15,\,3]\!] · [\![91,\,15,\,3]\!]