  In this brief report, we propose a possible way, theoretically and
experimentally, to generate a NOON state of the two degenerate ferromagnetic
ground states of the Transverse Ising Model. In our scheme we employ the
macroscopic quantum tunneling (MQT) effect between the two degenerate
ferromagnetic ground states to realize the NOON state. Our calculation about
the MQT process is based on a higher-order degenerate perturbation method.
After doing a transformation, the MQT process could also be treated as the
hopping of individual virtual fermions in the spin chain, which will leads to
an analytical description of tunneling process. The experimental feasibility
for generating the NOON state is discussed in the setup of linear ion trap.
