Magic State Factory Catalog

[\![1023,\,1,\,3]\!]

One factory with n=1023 inputs, k=1 output and distance d=3.

Inequivalent gates at [[1023, 1, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0} pure T6.30811d = 3Singh et al. (2026)

Same n and k at other distances: [\![1023,\,1,\,5]\!]
Nearest lengths with the same k and d: [\![1301,\,1,\,3]\!] · [\![1317,\,1,\,3]\!] · [\![727,\,1,\,3]\!] · [\![1345,\,1,\,3]\!] · [\![575,\,1,\,3]\!] · [\![527,\,1,\,3]\!] · [\![511,\,1,\,3]\!] · [\![1635,\,1,\,3]\!] · [\![1651,\,1,\,3]\!] · [\![1679,\,1,\,3]\!] · [\![271,\,1,\,3]\!] · [\![255,\,1,\,3]\!]