Magic State Factory Catalog

[\![24320,\,8,\,2]\!]

One factory with n=24320 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[24320, 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} pure T11.57017d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![23400,\,8,\,2]\!] · [\![22256,\,8,\,2]\!] · [\![22185,\,8,\,2]\!] · [\![18936,\,8,\,2]\!] · [\![18907,\,8,\,2]\!] · [\![17391,\,8,\,2]\!] · [\![12357,\,8,\,2]\!] · [\![11696,\,8,\,2]\!] · [\![11448,\,8,\,2]\!] · [\![11120,\,8,\,2]\!] · [\![11049,\,8,\,2]\!] · [\![37851,\,8,\,2]\!]