The information of the information paradox: On the quantum information meaning of Page curve

TL;DR

This paper explores how incorporating quantum Fisher information into black hole evaporation data modifies the Page curve, linking it to entanglement entropy and providing new insights into the quantum information paradox.

Contribution

It introduces a novel approach by including quantum Fisher information in the analysis of the Page curve, revealing its role in black hole entropy and information retrieval.

Findings

Quantum Fisher information scales inversely with black hole entropy.

Modified Page curve relates to relative entanglement entropy.

Quantum Fisher information influences the curvature at the Page point.

Abstract

Page curve for the fine grained entropy of the black hole radiation is obtained once we include the effect of a non vanishing quantum Fisher information in the evaporation data. This quantum Fisher information scales as the inverse of the original black hole entropy. The modified fine grained entropy can be naturally related to a relative entanglement entropy with the quantum Fisher information defining the curvature at Page point.