Magic State Factory Catalog

[\![225,\,19,\,3]\!]

One factory with n=225 inputs, k=19 outputs and distance d=3.

Inequivalent gates at [[225, 19, 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}\cdot \mathrm{T}_{15}\cdot \mathrm{T}_{16}\cdot \mathrm{T}_{17}\cdot \mathrm{T}_{18} pure T2.25027d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![155,\,19,\,3]\!] · [\![127,\,19,\,3]\!] · [\![109,\,19,\,3]\!] · [\![107,\,19,\,3]\!]