Genuine Entanglement of a Multipartite GHZ State in Non-Inertial Frame

Abstract

This research investigates the entanglement properties of multipartite GHZ states of bosonic and fermionic fields, particularly in scenarios where some parties are uniformly accelerated. The analysis incorporates perspectives from both inertial and non-inertial observers. Entanglement is quantified using the Π-tangle for GHZ states and the one-tangle for multipartite GHZ states. To facilitate this analysis, the study derives the density matrices for the multipartite GHZ states with m uniformly accelerated parties (). The results reveal that entanglement diminishes as the acceleration parameter increases, with accelerated observers experiencing less entanglement compared to their inertial counterparts. In the bosonic case, genuine entanglement is entirely lost for non-inertial observers at high accelerations, whereas inertial observers still experience it. In the fermionic case, however, genuine entanglement is not completely eliminated when the number of accelerated parties is limited. Furthermore, the decrease in entanglement is proportional to the number of accelerated parties, approaching zero as m tends to infinity ($m\to \infty$).