  The Wigner function's behavior of accelerated and non-accelerated Greenberger
Horne Zeilinger (GHZ) state is discussed. For the non-accelerated GHZ state,
the minimum/maximum peaks of the Wigner function depends on the distribution's
angles, where they are displayed regularly at fixed values of the
distribution's angles. We show that, for the accelerated GHZ state, the minimum
bounds increases as the acceleration increases. The increasing rate depends on
the number of accelerated qubits. Due to the positivity/ negativity behavior of
the Wigner function, one can use it as an indicators of the presences of the
classical/quantum correlations, respectively. The maximum bounds of the quantum
and the classical correlations depend on the purity of the initial GHZ state.
The classical correlation that depicted by the behavior of Wigner function
independent of the acceleration, but depends on the degree of its purity.
