Two identical two-level atoms that initially in Bell state were considered.One of the two atoms was injected into a single mode vacuum cavity to produce multiphoton resonance while the other was outside the microwave cavity.Using information entropy squeezing theory,the information entropy squeezing properties was investigated, that of atomic qubit inside the cavity before and after performing logic gate operations on the other atomic qubit outside the cavity and measure its ground state.It is shown that atomic qubit inside the cavity has no entropy squeezing phenomenon before manipulating atomic qubit outside the cavity.In the case of photon number k=3， after Hadamard (H) and H-like logic gate manipulations on the atom bit outside the cavity, the entropy squeezing phenomenon with period π/3! can be generated and the optimal entropy squeezing state can be prepared of atomic qubit inside the cavity. In the case of photon number k>3， with the increasing photon number, high-frequency oscillation emerges in the entropy squeezing factor E(Sx)， and the times of the optimal entropy squeezing of the atomic qubit inside the cavity increase significantly. The multiphoton process may be helpful to the experimental implementation of quantum communication and quantum computing in a noisy environment.