CIM experiments were performed on the 100 OPO CIM at Ginzton Laboratory of Stanford University and the 2048 OPO CIM at NTT Basic Research Laboratories. The Stanford and NTT devices are described in (24, 25), respectively. Computation time of the Stanford CIM is 1.6 ms, which is the time for 1000 round trips of the 320-m fiber ring cavity. Since the NTT CIM processes a 2000-node problem in 5.0 ms, which is the time for 1000 round trips of the 1-km fiber ring cavity, we can solve up to ⌊2000/N⌋ problems in parallel per computation time.

The CIM’s reliable operation depends on relative phases between the OPO pulses, injection pulses, and measurement local oscillator pulses being kept stable and well calibrated. Such phase stabilization is imperfect in the experimental setups used in this study, and consequently, post-selection procedures have been applied to both the Stanford and NTT CIM experimental data. This is described in detail in section S2. Computation times have been reported in terms of annealing times; as with the DW2Q, these times exclude the time required to transfer data to and from the CIM.

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