Multipartite entanglement of fermionic system in accelerated frames

TL;DR

This paper studies how tripartite entanglement in fermionic systems behaves under uniform acceleration, revealing that certain entanglement measures decrease but do not vanish entirely with increasing acceleration.

Contribution

It provides a detailed analysis of multipartite entanglement measures in accelerated frames, highlighting their different behaviors for W and GHZ states under uniform acceleration.

Findings

All three qubits' entanglement decreases with acceleration in W-states.

Two-tangle cannot diverge with increasing acceleration.

In GHZ-states, some entanglement measures remain non-zero regardless of acceleration.

Abstract

We investigate the entanglement measures of tripartite W-State and GHZ-state in noninertial frame through the coordinate transformation between Minkowski and Rindler. First it is shown that all three qubits undergo in a uniform acceleration $a$ of W-State, we find that the one-tangle, two-tangle, and $\pi$-tangle decrease when the acceleration parameter $r$ increases, and the two-tangle cannot arrive to infinity of the acceleration. Next we show that the one qubit goes in a uniform acceleration $a_{1}$ and the other two undergo in a uniform acceleration $a$ of GHZ-state, we find that the two-tangle is equal to zero and $N_{B_I (A_I C_I)} = N_{C_I (A_I B_I)}\neq N_{A_I (B_I C_I)}$, but one-tangle and $\pi$-tangle never reduce to zero for any acceleration.