Holevo Information of Black Hole Mesostates

TL;DR

This paper explores the holographic Holevo information of black hole mesostates, revealing phase transition behaviors and providing insights into the distinguishability of intermediate black hole states through a bulk wormhole geometry model.

Contribution

It introduces a new bulk wormhole geometry model for black hole mesostates and applies holographic Holevo information techniques to analyze their distinguishability and phase transitions.

Findings

Identification of phase transition behavior in Holevo information for black hole mesostates

Demonstration of the distinguishability of mesostates using holographic techniques

Characterization of the geometry interpolating between different horizon sizes

Abstract

We define a bulk wormhole geometry interpolating between horizons of differing size and determine characteristics of the HRT surface in these geometries. This construction is dual to black hole mesostates, an intermediate coarse-graining of states between black hole microstates and the full black hole state. We analyze the distinguishability of these objects using the recently derived holographic Holevo information techniques, demonstrating novel phase transition behavior for such systems.