Genuine N-partite entanglement and distributed relationships in the background of dilation black holes

TL;DR

This paper investigates how genuine N-partite entanglement behaves in the curved spacetime around dilaton black holes, revealing irreversible decoherence and new distributed relationships that deepen understanding of Hawking radiation.

Contribution

It provides the first analytical expressions for all physically accessible and inaccessible N-partite entanglement in curved spacetime, highlighting their contrasting behaviors.

Findings

Accessible N-partite entanglement decreases with black hole dilaton.

Inaccessible N-partite entanglement increases monotonically or non-monotonically.

Two new distributed relationships between accessible and inaccessible entanglement are identified.

Abstract

With the complexity of information tasks, the bipartite and tripartite entanglement can no longer meet our needs, and we need more entangled particles to process relativistic quantum information. In this paper, we study the genuine N-partite entanglement and distributed relationships for Dirac fields in the background of dilaton black holes. We present the general analytical expression including all physically accessible and inaccessible entanglement in curved spacetime. We find that the accessible N-partite entanglement exhibits irreversible decoherence as the increase of black hole's dilaton, and on the other hand the inaccessible N-partite entanglement increases from zero monotonically or non-monotonically, depending on the relative numbers of the accessible to the inaccessible modes, which forms a sharp contrast with the cases of bipartite and tripartite entanglement where the inaccessible entanglement increase only monotonically. We also find two distributed relationships between accessible and inaccessible N-partite entanglement in curved spacetime. The results give us a new understanding of the Hawking radiation.