  In quantum secret sharing protocols, the usual presumption is that the
distribution of quantum shares and players' collaboration are both performed
inertially. Here we develop a quantum secret sharing protocol that relaxes
these assumptions wherein we consider the effects due to the accelerating
motion of the shares. Specifically, we solve the (2,3)-threshold
continuous-variable quantum secret sharing in non-inertial frames. To this aim,
we formulate the effect of relativistic motion on the quantum field inside a
cavity as a bosonic quantum Gaussian channel. We investigate how the fidelity
of quantum secret sharing is affected by non-uniform motion of the quantum
shares. Furthermore, we fully characterize the canonical form of the Gaussian
channel which can be utilized in quantum information processing protocols to
include relativistic effects.
