My research takes place in the field of quantum computing and aims to demonstrate quantum near terms technologies advantage based on shallow circuits. In the current NISQ era, shallow circuit play a crucial role and exhibit both fundamental and universal aspects of quantum computing. I undertake to support these advantage proof by focusing my study on AI generative model applications. Indeed, showing a concrete advantage for quantum computers in the field of AI/machine learning will translate into benefits in terms of computational speed and performances for a vast range of applications: language processing (chatbot, general AI…), images/video generation…. Therefore, I believe this is the best way to maximise the impact of current and future quantum computers.