It is known that commutative Bernoulli schemes $CBS(p)$ are completely classified by entropy $h(p)$, that is, if $h(p) \geq h(\overline{p})$, then there is an homomorphism from $CBS(p)$ to $CBS(\overline{p})$. We consider noncommutative Bernoulli schemes $NCBS(p)$. It is known that noncommutative entropy is an invariant for noncommutative conjugacy and noncommutative entropy of $NCBS(p)$ coincides with commutative entropy $h(p)$.
We will show that if entropy differ ( $h(p) > h(\overline{p})$ ), then there is an homomorphism (in noncommutative sene) from $NCBS(p)$ to $NCBS(\overline{p})$. This is a generalization of the commutative case of different entropy.