  I propose the multi-mode squeezed thermal state based on the multi-mode pure
entangled state. The correlation matrix of the state is characterized by two
parameters. I then analysis the separable condition for this state, and
calculating the relative entropy of the state with respect to the same kind of
fully separable state in order to provide an upper bound of the relative
entropy of entanglement. The bound is compared with the other bounds which were
obtained with reduced state.
