Magic State Factory Catalog

[\![315,\,10,\,2]\!]

One factory with n=315 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[315, 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—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![316,\,10,\,2]\!] · [\![341,\,10,\,2]\!] · [\![342,\,10,\,2]\!] · [\![372,\,10,\,2]\!] · [\![374,\,10,\,2]\!] · [\![378,\,10,\,2]\!] · [\![392,\,10,\,2]\!] · [\![414,\,10,\,2]\!] · [\![212,\,10,\,2]\!] · [\![438,\,10,\,2]\!] · [\![182,\,10,\,2]\!] · [\![180,\,10,\,2]\!]