  Different nonlocal quantum correlations of entanglement, steering and Bell
nonlocality are defined with the help of local hidden state (LHS) and local
hidden variable (LHV) models. Considering their unique roles in quantum
information processing, it is of importance to understand the individual
nonlocal quantum correlation as well as their relationship. Here, we
investigate the effects of amplitude damping decoherence on different nonlocal
quantum correlations. In particular, we have theoretically and experimentally
shown that the entanglement sudden death phenomenon is distinct from those of
steering and Bell nonlocality. In our scenario, we found that all the initial
states present sudden death of steering and Bell nonlocality, while only some
of the states show entanglement sudden death. These results suggest that the
environmental effect can be different for different nonlocal quantum
correlations, and thus, it provides distinct operational interpretations of
different quantum correlations.
