In this paper, we defined lowering and raising operator of single photon's two polarization states, and used the theory of linear transformation of operator in Fock space to study BS, PBS, wave plate and H transformation. We obtained their representation of operator .On the base of this; we studied some quantum information experiment, e.g. Teleportation, from a new aspect. Using the new representation, we can analyze the probability of photons output states .To do this, we try to find a new method to devise experiments much efficiently.