Bosonic and fermionic coherence of N-partite states in the background of a dilaton black hole

TL;DR

This paper investigates the quantum coherence and entanglement of N-partite bosonic and fermionic states near a dilaton black hole, revealing differences based on particle type and state, with implications for relativistic quantum information.

Contribution

It provides new analytical expressions for N-partite coherence in black hole spacetime, comparing bosonic and fermionic fields and different multipartite states.

Findings

Bosonic coherence exceeds fermionic coherence near the black hole.

Fermionic entanglement is greater than bosonic entanglement in the curved spacetime.

W states exhibit higher coherence than GHZ states in this context.

Abstract

We study the N-partite coherences of GHZ and W states for free bosonic and fermionic fields when any n observers hover near the event horizon of a Garfinkle-Horowitz-Strominger (GHS) dilaton black hole. We derive the more general analytical expressions for N-partite coherence, encompassing both physically accessible and inaccessible coherences in the context of the dilaton black hole. It has been found that the coherence of the bosonic field is greater than that of the fermionic field, while the entanglement of the fermionic field is greater than that of the bosonic field in dilaton spacetime. Additionally, the coherence of the W state is greater than that of the GHZ state, whereas the entanglement of the GHZ state is greater than that of the W state in curved spacetime. These results suggest that we should utilize suitable quantum resources and different types of particles for relativistic quantum information tasks.