Contemporarily, with the rapid development of the laser techniques, the peak intensity of the laser reaches 1023 W/cm2. In this case, the laser plasma interaction enters the QED regime. With this in mind, this research demonstrates the state-of-art simulations results in the frame. Specifically, a brief introduction to the QED effect is introduced primarily. Subsequent, the progress of ultra-intensity laser, and the state-of-art facilities are discussed. Afterwards, the theoretical description of Compton scattering and Electron-Positron pairs generation are discussed. Eventually, application of high intensity gamma ray and EP pairs are presented. These results shed light on guiding further exploration of the QED physics.