The matrix product representation for the q-VBS state of one-dimensional higher integer spin model

The generalized q-deformed valence-bond-solid groundstate of one-dimensional higher integer spin model is studied. The Schwinger boson representation and the matrix product representation of the exact groundstate is determined, which recovers the former results for the spin-1 case or the isotropic limit. As an application, several correlation functions are evaluated from the matrix product representation.