High-accuracy Ising machine using Kerr-nonlinear parametric oscillators with local four-body interactions

Abstract A two-dimensional array of Kerr-nonlinear parametric oscillators (KPOs) with local four-body interactions is a promising candidate for realizing an Ising machine all-to-all spin couplings, based on adiabatic quantum computation in the Lechner–Hauke–Zoller (LHZ) scheme. However, its performance has been evaluated only symmetric network three KPOs, and thus it unclear whether such works general cases asymmetric networks. By numerically simulating more KPOs LHZ scheme, we find that asymmetry causes inhomogeneity photon numbers hence degrades performance. We then propose method reducing inhomogeneity, where discrepancies are corrected by tuning detunings depending their positions, without monitoring states during time evolution. Our simulation results show can be dramatically improved this method. The proposed method, which understanding asymmetry, expected to useful networks scheme large-scale implementation.