  We demonstrate a hierarchy of quantum correlations on experimentally prepared
two-qubit Werner-like states with controllable white noise. Werner's states,
which are white-noise-affected Bell states, are prototype examples for studying
hierarchies of quantum correlations as a function of the amount of noise. We
experimentally generated Werner's states and their generalizations (GWSs),
i.e., partially entangled pure states affected by white noise. These states
enable us to study the hierarchy of quantum entanglement, Bell's nonlocality
(i.e., Bell's inequality violation, BIV), and quantum steering in two and
three-measurement scenarios. We show that the GWSs reveal fundamentally new
aspects of such hierarchies compared to those of Werner's states. In
particular, we find that (i) non-maximally entangled states can be more robust
to white noise than Bell states, and (ii) some GWSs can be steerable in a
two-measurement scenario without violating Bell inequalities, which is
impossible for the usual Werner states.
