  Possibility of state cloning is analyzed in two types of generalizations of
quantum mechanics with nonlinear evolution. It is first shown that nonlinear
Hamiltonian quantum mechanics does not admit cloning without the cloning
machine. It is then demonstrated that the addition of the cloning machine,
treated as a quantum or as a classical system, makes the cloning possible by
nonlinear Hamiltonian evolution. However, a special type of quantum-classical
theory, known as the mean-field Hamiltonian hybrid mechanics, does not admit
cloning by natural evolution. The latter represents an example of a theory
where it appears to be possible to communicate between two quantum systems at
super-luminal speed, but at the same time it is impossible to clone quantum
pure states.
