Genuine tripartite entanglement of W state subject to Hawking effect of a Schwarzschild black hole

TL;DR

This paper investigates how Hawking radiation affects the genuine tripartite entanglement of W states in fermionic fields near a Schwarzschild black hole, revealing temperature-dependent entanglement dynamics.

Contribution

It provides the first detailed analysis of GTE, one-tangle, and two-tangle of W states under Hawking effect, highlighting entanglement decay and freezing phenomena in relativistic settings.

Findings

GTE of W state decreases then tends to zero with increasing Hawking temperature.

Hawking effect can completely destroy the two-tangle of W state.

One-tangle decreases and then freezes as temperature increases.

Abstract

We study the genuine tripartite entanglement (GTE), one-tangle and two-tangle of W state of fermionic fields in the background of a Schwarzschild black hole. We find that, with the increase of the Hawking temperature, the GTE of W state first decreases and then tends to zero, while the GTE of GHZ state first decreases and then freezes. We also find that the Hawking effect can completely destroy the two-tangle of W state, whilie one-tangle first decreases and then appears freezing phenomenon with the growth of the Hawking temperature. These results are helpful to guide us to select appropriate quantum states and quantum resources to deal with relativistic quantum information tasks.