Three-Tangle in Non-inertial Frame

Let Alice, Bob, and Charlie initially share an arbitrary fermionic three-qubit pure state, whose three-tangle is ${\tau }_3^{(0)}$. It is shown within the single-mode approximation that if one party among the three of them moves with a uniform acceleration with respect to the other parties, the three-tangle reduces to ${\tau }_3^{(0)}{\cos }^{2}r$, where $r$ denotes a statistical factor in Fermi-Dirac statistics.