Fig. 3: Solving the semiprime factorization problem with a coupled and biased network of OPOs.
From: Stochastic logic in biased coupled photonic probabilistic bits

a Digital logic circuit that multiplies two 3-bit numbers (X and Y in their binary representations, respectively), resulting in Z (binary representation). The lines interconnecting the gates are represented by auxiliary spins in the Ising Hamiltonian. The inset shows the corresponding Ising Hamiltonian with coupling J at the top and Zeeman term \(\overrightarrow{h}\) at the bottom (see Supplementary Note 6 for a more detailed plot). b Time evolution of the in-phase component (ci) of coupled and biased OPOs with J and \(\overrightarrow{h}\) originating from the 6-bit multiplier circuit. The steady state of this configuration represents the ground state of the Ising Hamiltonian, solving the factorization problem.