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We show how spatial light modulation allows one to optically compute an Ising Hamiltonian. This enables the use of optical radiation to accelerate algorithms to find the ground state and hence the optimal solution of a combinatorial optimization problem. The phase matrix on a spatial light modulator acts as a lattice of spins whose interaction is ruled by the constrained optical intensity in the far field. Feedback from the detection plane allows the spatial phase distribution to evolve toward the minimum of the selected spin model. Related topics such as annealing, adiabatic evolution, the XY model, and decomposition methods are reviewed.
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