Nonbistable rectified linear unit-based gain-dissipative Ising spin network with stochastic resonance effect

The gain-dissipative Ising machine (GIM), comprising a nonlinear transfer function and spin interaction feedback, is one of the most promising quantum analog annealers. However, previous GIM constructions have been limited to only bistable nonlinear transfer functions with low noise intensity condition. To provide a new insight and broaden the potential design of GIMs, we construct a nonbistable rectified linear unit-based gain-dissipative Ising spin network (RISN). In contrast to the traditional GIM, spin dynamics analysis in the uncoupled state proves that RISN is nonbistable. Furthermore, it is demonstrated that the proposed RISN can effectively solve combinatorial optimization problems with a high noise level, which can be regarded as a stochastic resonance phenomenon. The proposed configuration, which does not comply with known conclusions, can become a stepping-stone for new GIM designs.

Automated summary

In this study, a new perspective is provided and the potential design range of GIMs is broadened by constructing a nonbistable rectified linear unit-based gain-dissipative Ising spin network (RISN). It is found that RISN is nonbistable in the uncoupled state, and it can effectively solve combinatorial optimization problems with high noise levels.