  We investigate the geometrical structure of multipartite states based on the
construction of toric varieties. We show that the toric variety represents the
space of general pure states and projective toric variety defines the space of
separable set of multi-qubits states. We also discuss in details the
construction of single-, two-, three-, and multi- qubits states. This
construction gives a very simple and elegant visual representation of the
geometrical structure of multipartite quantum systems.
