Distinguishing Black Hole Microstates using Holevo Information

Wu Zhong Guo, Feng Li Lin, Jiaju Zhang

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Abstract

We use Holevo information in the two-dimensional conformal field theory (CFT) with a large central charge c to distinguish microstates from the underlying thermal state. Holographically, the CFT microstates of a thermal state are dual to black hole microstate geometries in anti-de Sitter space. It was found recently that holographic Holevo information shows plateau behaviors at both short and long interval regions. This indicates that the black hole microstates are indistinguishable from the thermal state by measuring over a small region, and perfectly distinguishable over a region with its size comparable to the whole system. In this Letter, we demonstrate that the plateaus are lifted by including the 1/c corrections from both the vacuum and nonvacuum conformal families of CFT in either the canonical ensemble or microcanonical ensemble thermal state. Our results imply that the aforementioned indistinguishability and distinguishability of black hole microstate geometries from the underlying black hole are spoiled by higher order Newton constant GN corrections of quantum gravity.

Original languageEnglish
Article number251603
JournalPhysical Review Letters
Volume121
Issue number25
DOIs
Publication statusPublished - 2018 Dec 21

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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