  We study the symmetry properties in the dynamics of quantum correlations for
two-qubit systems in one-sided noisy channels, with respect to a switch in the
location of noise from one qubit to the other. We consider four different
channel types, namely depolarizing, amplitude damping, bit-flip, and
bit-phase-flip channel, and identify the classes of initial states leading to
symmetric decay of entanglement, non-locality and discord. Our results show
that the symmetric decay of quantum correlations is not directly linked to the
presence or absence of symmetry in the initial state, while it does depend on
the type of correlation considered as well as on the type noise. We prove that
asymmetric decay can be used to infer, in certain cases, characteristic
properties of the channel. We also show that the location of noise may lead to
dramatic changes in the persistence of phenomena such as entanglement sudden
death and time-invariant discord.
