  New quantum entropic inequality for states of system of n >_ 1 qudits is
obtained. The inequality has the form of quantum subadditivity condition of
bipartite qudit system and coincides with this subadditivity condition for the
system of two qudits. The general statement on existence of the subadditivity
condition for arbitrary probability distribution and arbitrary qudit-system
tomogram is formulated. The nonlinear quantum channels creating the entangled
states from separable ones are discussed.
