  We perform a theoretical study on quantum correlations in an optomechanical
system where the mechanical mirror is perturbatively coupled to an auxiliary
qubit. In our study, we consider logarithmic negativity to quantify the degree
of stationary entanglement between the cavity field and mechanical mirror, and,
Gaussian quantum discord as an witness of the quantumness of the correlation
beyond entanglement. Utilizing experimentally feasible parameters, we show that
both entanglement and quantum discord enhance significantly with increase in
mirror-qubit coupling. Moreover, we find that in presence of the mirror-qubit
coupling entanglement could be generated at a considerably lower optomechanical
coupling strength, which is also extremely robust against the environmental
temperature. Overall, our proposed scheme offers some considerable advantages
for realizing the continuous-variable quantum information and communication.
