  We investigate the dynamics of coherence and entanglement of vibrating
qubits. Firstly, we consider a single trapped ion qubit inside a perfect cavity
and successively we use it to construct a bipartite system made of two of such
subsystems, taken identical and noninteracting. As a general result, we find
that qubit vibration can lead to prolonging initial coherence in both
single-qubit and two-qubit system. However, despite of this coherence
preservation, we show that the decay of the entanglement between the two qubits
is sped up by the vibrational motion of the qubits. Furthermore, we highlight
how the dynamics of photon-phonon correlations between cavity mode and
vibrational mode, which may serve as a further useful resource stored in the
single-qubit system, is strongly affected by the initial state of the qubit.
These results provide new insights about the ability of systems made of moving
qubits in maintaining quantum resources compared to systems of stationary
qubits.
