Distinguishing Black Hole Microstates using Holevo Information

Wu Zhong Guo, Feng Li Lin, Jiaju Zhang

研究成果: 雜誌貢獻文章

5 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
文章編號251603
期刊Physical Review Letters
121
發行號25
DOIs
出版狀態已發佈 - 2018 十二月 21

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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