Magic State Factory Catalog

[\![11436,\,10,\,2]\!]

One factory with n=11436 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[11436, 10, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\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}_{019}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{026}\cdot \mathrm{CCZ}_{027}\cdot \mathrm{CCZ}_{028}\cdot \mathrm{CCZ}_{029}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{03}\cdots 120 terms—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![10814,\,10,\,2]\!] · [\![12173,\,10,\,2]\!] · [\![10602,\,10,\,2]\!] · [\![9654,\,10,\,2]\!] · [\![13923,\,10,\,2]\!] · [\![14134,\,10,\,2]\!] · [\![14214,\,10,\,2]\!] · [\![14280,\,10,\,2]\!] · [\![8254,\,10,\,2]\!] · [\![8253,\,10,\,2]\!] · [\![7938,\,10,\,2]\!] · [\![7494,\,10,\,2]\!]