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The generalized q-deformed valence-bond-solid groundstate of one-dimensionalhigher integer spin model is studied. The Schwinger boson representation andthe matrix product representation of the exact groundstate is determined, whichrecovers the former results for the spin-1 case or the isotropic limit. As anapplication, several correlation functions are evaluated from the matrixproduct representation.

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