  A number of noncontextual models exist which reproduce different subsets of
quantum theory and admit a no-cloning theorem. Therefore, if one chooses
noncontextuality as one's notion of classicality, no-cloning cannot be regarded
as a nonclassical phenomenon. In this work, however, we show that there are
aspects of the phenomenology of quantum state cloning which are indeed
nonclassical according to this principle. Specifically, we focus on the task of
state-dependent cloning and prove that the optimal cloning fidelity predicted
by quantum theory cannot be explained by any noncontextual model. We derive a
noise-robust noncontextuality inequality whose violation by quantum theory not
only implies a quantum advantage for the task of state-dependent cloning
relative to noncontextual models, but also provides an experimental witness of
noncontextuality.
