Seiya Amoh, Daisuke Ito, Tetsushi Ueta, A method to suppress local minima for symmetrical DOPO networks, Institute of Electronics, Information and Communication Engineers, Nonlinear Theory and Its Applications, IEICE, Vol.11, No.4, 580-589, Oct. 2020.
Abstract: Coherent Ising machine (CIM) implemented by degenerate optical parametric oscillator(DOPO) networks can solve some combinatorial optimization problems. However, whenthe network structure has a certain type of symmetry, optimal solutions caused by pitchforkbifurcations are not always detected since local minima grasp the search process. In addition,a uniform pump rate for DOPOs in the conventional control operation cannot overcome thisproblem. In this paper proposes a method to avoid trapping of the local minima by applying acontrol input in a pump rate of an appropriate node. This control may break the symmetricalproperty and the bifurcation structure temporarily, then it guides the trajectory into the globalminima. We show several simulation results.