Magic State Factory Catalog

[\![88,\,13,\,3]\!]

One factory with n=88 inputs, k=13 outputs and distance d=3.

Inequivalent gates at [[88, 13, 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{CCZ}_{10,11,12}1.81420d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![87,\,13,\,3]\!] · [\![91,\,13,\,3]\!] · [\![95,\,13,\,3]\!] · [\![96,\,13,\,3]\!] · [\![79,\,13,\,3]\!] · [\![99,\,13,\,3]\!] · [\![100,\,13,\,3]\!]