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

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.

23 pages, 5 figures,

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• Gaussian tripartite steering in Schwarzschild black hole
• Nonseparability of multipartite systems in dilaton black hole
• Quantum steering for different types of Bell-like states in gravitational background
• Generalized entropic uncertainty relation and non-classicality in Schwarzschild black hole
• Entropic uncertainty and coherence in Einstein-Gauss-Bonnet gravity
• Bosonic and fermionic mutual information of N-partite systems in dilaton black hole background
• Non-monotonic evolution of multipartite entanglement under the Unruh effect