The dynamics of four fidelities is studied for mixed coherent states and mixed squeezed states of Fermi-resonance coupling vibrations in molecule CS2. It is demonstrated that those fidelities are dominant-positively correlated with each other, one of which by Wang et al. （Phys. Lett. A 373, 58 （2008）） is the most striking in dominant anti-correlation with quantum mutual entropy. That is useful for molecular quantum computing and quantum information.
