Abstract
Quantum teleportation has been introduced by Benett et al. and dis cussed by a number of authors in the framework of the singlet state. Recentl y, a rigorous formulation of the teleportation problem of arbitrary quantum states by means of quantum channel was given in [IOS] based on the general c hannel theoretical formulation of the quantum gates introduced in [OW]. In t his note we discuss a generalization of the scheme proposed in [IOS] and we give a general method to solve the teleportation problem in spaces of arbitr ary finite dimensions.