In recent years, quantum complexity has been attracted a lot of attentions in the view of both holography and quantum field theory (so-called quantum cirtuit complexity). In this talk, I will give a short review of hologrphic complexity mainly concentrating on several holographic conjectures as well the idea that how to construct the quantum circuit model in quantum field theory. Based on the Nielson's geometry method, I will show the computational procedure by taking the conherent state as an example.