Table 1 Resource scaling for the cyclic Xd gate.

From: Cyclic permutations for qudits in d dimensions

  SPPs Fourier F Zd phases
Resources 2 4, integrated optics
O(d2), linear optics
O\((\tfrac{d}{2}\,\mathrm{log}\,d)\), if d = 2p
2(d − 1)