Magic State Factory Catalog

[\![63,\,12,\,3]\!]

One factory with n=63 inputs, k=12 outputs and distance d=3.

Inequivalent gates at [[63, 12, 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{CCZ}_{9,10,11}1.58918d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![76,\,12,\,3]\!] · [\![78,\,12,\,3]\!] · [\![82,\,12,\,3]\!] · [\![84,\,12,\,3]\!] · [\![86,\,12,\,3]\!] · [\![88,\,12,\,3]\!] · [\![90,\,12,\,3]\!] · [\![92,\,12,\,3]\!] · [\![94,\,12,\,3]\!] · [\![95,\,12,\,3]\!] · [\![96,\,12,\,3]\!] · [\![99,\,12,\,3]\!]