Tripartite Entanglement-Dependence of Tripartite Non-locality in Non-inertial Frame

TL;DR

This paper investigates how tripartite entanglement influences non-locality in non-inertial frames, deriving explicit relationships for Svetlichny inequality violations in accelerated quantum states, and suggests entanglement isn't the sole resource for non-locality.

Contribution

It provides explicit formulas linking tripartite entanglement measures to non-locality in non-inertial frames, highlighting the complex relationship between entanglement and non-locality.

Findings

Derived explicit dependence of Svetlichny inequality on three-tangle in accelerated states.

Showed that multipartite entanglement isn't the only resource for non-locality.

Conjectured the existence of other factors influencing quantum non-locality.

Abstract

The three-tangle-dependence of $S_{max} = \max <S>$, where $S$ is Svetlichny operator, are explicitly derived when one party moves with an uniform acceleration with respect to other parties in the generalized Greenberger-Horne-Zeilinger and maximally slice states. The $\pi$-tangle-dependence of $S_{max}$ are also derived implicitly. From the dependence we conjecture that the multipartite entanglement is not the only physical resource for quantum mechanical multipartite non-locality.