Magic State Factory Catalog

[\![22171,\,5,\,2]\!]

One factory with n=22171 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[22171, 5, 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} pure T12.11418d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![22517,\,5,\,2]\!] · [\![22523,\,5,\,2]\!] · [\![24323,\,5,\,2]\!] · [\![24570,\,5,\,2]\!] · [\![24571,\,5,\,2]\!] · [\![25051,\,5,\,2]\!] · [\![17530,\,5,\,2]\!] · [\![16378,\,5,\,2]\!] · [\![28665,\,5,\,2]\!] · [\![28666,\,5,\,2]\!] · [\![14330,\,5,\,2]\!] · [\![14329,\,5,\,2]\!]