Quantum Zeno effect and Quantum anti-Zeno effect are coming from quantum measurement process. In this article, considering rotating wave approximation and non-rotating wave approximation two conditions, the difference between quantum Zeno effect and quantum anti-Zeno effect are studied.In this paper, through the establishment of the two-level quantum system model, using the Nakajima transform to make unitary transformation of the Hamiltonian of the quantum system, and the methods of calculating Zeno time in two-level quantum system are given in the rotating wave approximation and non-rotating wave approximation. And point out that the result in non-rotating wave approximation is more accurate though compared in both conditions. Under non-rotating wave approximation, the protecting entanglement via the quantum Zeno effect is studied, and find that non-rotating wave approximation condition may make a change in resonance frequency and make the measuring field frequency become more precise in quantum measuring. |