Magic State Factory Catalog

[\![21844,\,9,\,2]\!]

One factory with n=21844 inputs, k=9 outputs and distance d=2.

Inequivalent gates at [[21844, 9, 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}\cdot \mathrm{T}_{8}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{016}\cdot \mathrm{CCZ}_{017}\cdot \mathrm{CCZ}_{018}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{026}\cdot \mathrm{CCZ}_{027}\cdot \mathrm{CCZ}_{028}\cdots 93 terms—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![21971,\,9,\,2]\!] · [\![22807,\,9,\,2]\!] · [\![23506,\,9,\,2]\!] · [\![23970,\,9,\,2]\!] · [\![24055,\,9,\,2]\!] · [\![24318,\,9,\,2]\!] · [\![12300,\,9,\,2]\!] · [\![12023,\,9,\,2]\!] · [\![11938,\,9,\,2]\!] · [\![11731,\,9,\,2]\!] · [\![11730,\,9,\,2]\!] · [\![11446,\,9,\,2]\!]