Layout for ring oscillator-based ising machine system

An Ising machine system configured to solve an Ising problem, the Ising machine system comprising a plurality of ring oscillators that are each configured to propagate an oscillation signal, each of the ring oscillators comprises a plurality of coupling stages arranged in a two-dimensional array, the coupling stages of a first one of the ring oscillators being fabricated in a linear physical arrangement along a first axis of the two-dimensional array, the coupling stages associated with a second one of the ring oscillators being fabricated in a linear physical arrangement along a second axis of the two-dimensional array orthogonal with the first axis, each of the remaining ring oscillators being fabricated in a physical L-shape, each of the coupling stages having a unique phase index number within the respective one of the ring oscillators that matches the phase index numbers of the coupling stages of each of the other ring oscillators, each of the coupling stages excepting one of each of the ring oscillators is cross-coupled to a coupling stage having a same phase index number of one of the other ring oscillators via the oscillation signal associated with the respective ring oscillators based on intersecting the other ring oscillators in the two-dimensional array, such that each of the ring oscillators is cross-coupled to each of the other ring oscillators at a single respective one of the coupling stages to provide a respective phase coupling between the respective cross-coupled ring oscillators.