Fig. 4: Network of D × N POs simulating N, D-dimensional hyperspins.
The coupling represents here a random complete K graph. The network is shown with N = 10 and embedded in a circular geometry. a, b, c, d Full PO network for D = 1, 2, 3, 4 as in the legends. Green and red lines represent positive end negative entries of the adjacency matrix J, respectively. e, f, g, h Hyperspin representation in the xyz-space of the PO network, where hyperspins are represented as in Fig. 1. The steady-state values of the real-part of the PO amplitudes dynamics Xj(t) from the numerical integration of Eq. (5) determine the state of the spins (see Supplementary Note 2 and Supplementary Movie 1).
