  The challenge posted by modern science is to find a way to compute the
NP-hard problem. Here we present a coherent computation model based on the
whispering-gallery mode micro-resonators. We introduce the optically connected
micro-resonators array to simulate the dynamical evolution of the Ising model
with full connection while the mode chirality of the micro-resonators works as
the spins of each node in the Ising model. The relaxation time, the steady
state distribution, and the mode connection of the Ising spin chain are
simulated with the proposed optical system. Moreover, it is found that the
current scheme could be used for searching the full solutions of the
corresponding Ising problem. Numerical results show that the time required is
constant time. Our approach achieves high accuracy and fast computation in the
realization of unconventional optimization hardware.
