Magic State Factory Catalog

[\![89001,\,8,\,2]\!]

One factory with n=89001 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[89001, 8, 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{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{05}\cdot \mathrm{CS}_{06}\cdot \mathrm{CS}_{07}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{16}\cdot \mathrm{CS}_{17}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{26}\cdot \mathrm{CS}_{27}\cdot \mathrm{CS}_{3}\cdots 36 terms—18d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![48648,\,8,\,2]\!] · [\![44528,\,8,\,2]\!] · [\![44457,\,8,\,2]\!] · [\![37851,\,8,\,2]\!] · [\![24320,\,8,\,2]\!] · [\![23400,\,8,\,2]\!] · [\![22256,\,8,\,2]\!] · [\![22185,\,8,\,2]\!] · [\![18936,\,8,\,2]\!] · [\![18907,\,8,\,2]\!] · [\![17391,\,8,\,2]\!] · [\![12357,\,8,\,2]\!]