Bosonic and fermionic mutual information of N-partite systems in dilaton black hole background

TL;DR

This paper analyzes how multipartite quantum correlations, specifically mutual information, are affected by a dilaton black hole background for bosonic and fermionic fields, revealing species and state-dependent differences.

Contribution

It provides analytical expressions for N-partite mutual information in dilaton spacetime and compares quantum correlations between bosonic and fermionic fields in curved spacetime.

Findings

Fermionic mutual information exceeds bosonic in black hole background.

GHZ states have higher mutual information than W states in curved spacetime.

Quantum resource optimization depends on particle type and state structure.

Abstract

We investigate multipartite quantum correlations by analyzing the mutual information of N-partite states for both free bosonic and fermionic fields in the background of a Garfinkle-Horowitz-Strominger (GHS) dilaton black hole. Focusing on multipartite GHZ and W states, we examine how the Hawking effect influences the N-partite mutual information when one observer hovers near the event horizon while the remaining observers stay in the asymptotically flat region. By tracing over the inaccessible modes inside the event horizon, we derive analytical expressions for the N-partite mutual information in dilaton spacetime for both bosonic and fermionic fields. Our results show that fermionic mutual information is larger than its bosonic counterpart under the influence of the dilaton black hole, whereas the fermionic relative entropy of coherence (REC) is smaller than the bosonic REC. Moreover, the mutual information of GHZ states is consistently larger than that of W states, while the REC of GHZ states is smaller than that of W states in curved spacetime. These findings indicate that the choice of quantum resources should be tailored to the particle species and state structure in relativistic quantum information tasks to optimize their operational efficiency.