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Title: Distinguishability of black hole microstates

We use the Holevo information to estimate distinguishability of microstates of a black hole in anti-de Sitter space by measurements one can perform on a subregion of a Cauchy surface of the dual conformal field theory. We find that microstates are not distinguishable at all until the subregion reaches a certain size and that perfect distinguishability can be achieved before the subregion covers the entire Cauchy surface. We will then compare our results with expectations from the entanglement wedge reconstruction, tensor network models, and the bit threads interpretation of the Ryu-Takayanagi formula.
Authors:
 [1] ;  [2]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics and Inst. of Quantum Information and Matter
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States); Univ. of Tokyo (Japan). Kavil Inst. for the Physics and Mathematics of the Universe
Publication Date:
Grant/Contract Number:
sc0011632; C-26400240; 15H05895
Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 96; Journal Issue: 6; Related Information: CHORUS Timestamp: 2017-09-18 10:36:29; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Sponsoring Org:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Japan Society for the Promotion of Science (JSPS); Ministry of Education, Culture, Sports, Science and Technology (MEXT)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS
OSTI Identifier:
1392160

Bao, Ning, and Ooguri, Hirosi. Distinguishability of black hole microstates. United States: N. p., Web. doi:10.1103/PhysRevD.96.066017.
Bao, Ning, & Ooguri, Hirosi. Distinguishability of black hole microstates. United States. doi:10.1103/PhysRevD.96.066017.
Bao, Ning, and Ooguri, Hirosi. 2017. "Distinguishability of black hole microstates". United States. doi:10.1103/PhysRevD.96.066017.
@article{osti_1392160,
title = {Distinguishability of black hole microstates},
author = {Bao, Ning and Ooguri, Hirosi},
abstractNote = {We use the Holevo information to estimate distinguishability of microstates of a black hole in anti-de Sitter space by measurements one can perform on a subregion of a Cauchy surface of the dual conformal field theory. We find that microstates are not distinguishable at all until the subregion reaches a certain size and that perfect distinguishability can be achieved before the subregion covers the entire Cauchy surface. We will then compare our results with expectations from the entanglement wedge reconstruction, tensor network models, and the bit threads interpretation of the Ryu-Takayanagi formula.},
doi = {10.1103/PhysRevD.96.066017},
journal = {Physical Review D},
number = 6,
volume = 96,
place = {United States},
year = {2017},
month = {9}
}