On the Mutual Information in Hawking Radiation

TL;DR

This paper calculates the mutual information between two Hawking particles emitted sequentially from an evaporating black hole, revealing insights into black hole information and potential non-local effects.

Contribution

It provides a quantitative analysis of mutual information in Hawking radiation, extending previous work and exploring implications for black hole unitarity and locality.

Findings

Mutual information is of order exp(-S), with S being the black hole entropy.

Suggests potential failure of locality at large distances.

Implications for black hole information paradox and unitarity.

Abstract

We compute the mutual information of two Hawking particles emitted consecutively by an evaporating black hole. Following Page, we find that the mutual information is of order exp(-S) where S is the entropy of the black hole. We speculate on implications for black hole unitarity, in particular on a possible failure of locality at large distances.