Magic State Factory Catalog

[\![127,\,17,\,3]\!]

One factory with n=127 inputs, k=17 outputs and distance d=3.

Inequivalent gates at [[127, 17, 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{CCZ}_{5,6,7}\cdot \mathrm{CCZ}_{8,9,10}\cdot \mathrm{CCZ}_{11,12,13}\cdot \mathrm{CCZ}_{14,15,16}2.07524d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![119,\,17,\,3]\!] · [\![135,\,17,\,3]\!] · [\![111,\,17,\,3]\!] · [\![103,\,17,\,3]\!] · [\![155,\,17,\,3]\!]