Frame independent nonlocality for three qubit state

Bell's inequality is investigated for the three qubit GHZ state in relativistic regime. Two different relativistic spin operator are considered. One of them is defined by Lee, and the other is the Pauli-Lubanski pseudovector used by Kim \textit{et al}. It is shown that for both spin operator Bell's inequality is still maximally violated in a Lorentz-boosted frame.