Magic State Factory Catalog

[\![108,\,12,\,2]\!]

One factory with n=108 inputs, k=12 outputs and distance d=2.

Inequivalent gates at [[108, 12, 2]]. 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} pure T3.17015d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![100,\,12,\,2]\!] · [\![98,\,12,\,2]\!] · [\![72,\,12,\,2]\!] · [\![44,\,12,\,2]\!] · [\![42,\,12,\,2]\!] · [\![195,\,12,\,2]\!] · [\![196,\,12,\,2]\!] · [\![204,\,12,\,2]\!] · [\![210,\,12,\,2]\!] · [\![212,\,12,\,2]\!] · [\![375,\,12,\,2]\!] · [\![376,\,12,\,2]\!]