Magic State Factory Catalog

[\![1564,\,4,\,2]\!]

One factory with n=1564 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[1564, 4, 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} pure T8.61114d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1532,\,4,\,2]\!] · [\![1530,\,4,\,2]\!] · [\![1292,\,4,\,2]\!] · [\![1276,\,4,\,2]\!] · [\![1275,\,4,\,2]\!] · [\![1188,\,4,\,2]\!] · [\![1156,\,4,\,2]\!] · [\![1144,\,4,\,2]\!] · [\![1143,\,4,\,2]\!] · [\![2012,\,4,\,2]\!] · [\![2040,\,4,\,2]\!] · [\![1020,\,4,\,2]\!]