  The main challenge in deterministic quantum state transfer in long-distance
quantum communications is the transmission losses in the communication channel.
To overcome this limitation, here we use the adiabatic theorem and find a
lossless evolution path between two remote mechanical modes. By adiabatic
variation of the effective coupling strengths between the two nodes and the
intermediate optical channel modes, we engineer a transmission path for the
quantum state transfer that is decoupled from the decaying fiber modes. Using
our proposed method we show that one obtains a quantum state transfer with high
efficiency. Furthermore, to bypass the slow nature of the adiabatic process and
its sensitivity to the mechanical damping and noise as well as the strength of
the driving pulses, we develop the shortcut to adiabatic passage protocol for
our proposed quantum state transfer. Our results show that the shortcut to
adiabaticity provides an efficient and fast quantum state transfer even for
small values of the coupling strength. We show that the performance of our
protocol for long-distance quantum communications remains efficient for
transferring the quantum states between two remote mechanical resonators being
hundred meters apart.
