  We perform numerical tests on quantum nonlocality of two-level quantum
systems (qubits) observed by a uniformly moving observer. Under a suitable
momentum setting, the quantum nonlocality of two-qubit nonmaximally entangled
states could be weakened drastically by the Lorentz transformation allowing for
the existence of local-hidden-variable models, whereas three-qubit genuinely
entangled states are robust. In particular, the generalized GHZ state remains
nonlocal under arbitrary Wigner rotation and the generalized W state could
admit local-hidden-variable models within a rather narrow range of parameters.
