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

Chun Yu Huang,Liu Ye,Wenchao Ma,Dong Wang

doi:10.1038/srep38456

Abstract

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 Fϕ but also broke the symmetry of the function Fϕ. The results also show that for a special multipartite system, , the number of particles of a initial state do not affect the Fθ. Furthermore, we also find that Fθ 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.

Highlights

In this work, the quantum fisher information (QFI) and Bell non-locality of a multipartite fermionic system are investigated
As a burgeoning interdiscipline composed of information theory, quantum field theory, and general relativity, relativistic quantum information is considerably important in the long-distance quantum communication, uncovers a new aspect of the complex relationship between general relativity and quantum mechanics
|ψ〉1,2,...,N =, the number of particles of a initial state do not affect the QFI Fθ, that is to say, Fθ is independent of the number of particles of the initial state

Summary

Introduction

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. Adesso et al.[12] investigated the distribution of entanglement sharing of a scalar field in a relativistic setting and proposed a explanation about entanglement redistribution They shown that the classical correlations is immune to the Unruh effect if one or more observers stays stationary. Wang et al.[13] discussed classical and quantum correlation sharing of a Dirac field in a relativistic setting and shown that unlike the result of scalar field, classical correlation decrease with the increase of acceleration, i.e., classical correlation will be affected due to Unruh effect even if there are inertial observers. We take the parametrized state as the initial state, characterized by two parameters θ and φ

Methods

Results

Conclusion