Magic State Factory Catalog

[\![127,\,1,\,3]\!]

One factory with n=127 inputs, k=1 output and distance d=3.

Inequivalent gates at [[127, 1, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0} pure T4.4098d = 3Singh et al. (2026)

Same n and k at other distances: [\![127,\,1,\,7]\!]
Nearest lengths with the same k and d: [\![119,\,1,\,3]\!] · [\![135,\,1,\,3]\!] · [\![91,\,1,\,3]\!] · [\![65,\,1,\,3]\!] · [\![63,\,1,\,3]\!] · [\![52,\,1,\,3]\!] · [\![51,\,1,\,3]\!] · [\![48,\,1,\,3]\!] · [\![47,\,1,\,3]\!] · [\![46,\,1,\,3]\!] · [\![45,\,1,\,3]\!] · [\![44,\,1,\,3]\!]