Three-Tangle in Non-inertial Frame

TL;DR

This paper investigates how the three-tangle, a measure of quantum entanglement, diminishes in a fermionic three-qubit system when one party accelerates uniformly, showing a specific reduction factor within the single-mode approximation.

Contribution

It demonstrates the effect of uniform acceleration on the three-tangle in fermionic three-qubit states within the single-mode approximation, revealing a specific reduction formula.

Findings

Three-tangle reduces by a factor of cos^2 r under acceleration.

Acceleration affects quantum entanglement in fermionic systems.

The reduction is described within the single-mode approximation.

Abstract

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.