How the Relativistic Motion Affect Quantum Fisher Information and Bell Non-locality for Multipartite state

In this work, the quantum fisher information (QFI) and Bell non-locality of a multipartite fermionic system are investigated. Unlike the currently existing research of QFI, we focus our attention on the differences between quantum fisher information and Bell non-locality under the relativistic framework. The results show that although the relativistic motion affects the strength of the non-locality, it does not change the physical structure of non-locality. However, unlike the case of non-locality, the relativistic motion not only influence the precision of the QFI F(ϕ) but also broke the symmetry of the function F(ϕ). The results also show that for a special multipartite system, [Image: see text], the number of particles of a initial state do not affect the F(θ). Furthermore, we also find that F(θ) is completely unaffected in non-inertial frame if there are inertial observers. Finally, in view of the decay behavior of QFI and non-locality under the non-inertial frame, we proposed a effective scheme to battle against Unruh effect.