Magic State Factory Catalog

[\![90,\,14,\,3]\!]

One factory with n=90 inputs, k=14 outputs and distance d=3.

Inequivalent gates at [[90, 14, 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} pure T1.69422d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![88,\,14,\,3]\!] · [\![92,\,14,\,3]\!] · [\![94,\,14,\,3]\!] · [\![98,\,14,\,3]\!] · [\![100,\,14,\,3]\!] · [\![114,\,14,\,3]\!] · [\![135,\,14,\,3]\!]