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Title: Distinguishability of black hole microstates

Abstract

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:
Research Org.:
California Inst. of Technology (CalTech), Pasadena, CA (United States)
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)
OSTI Identifier:
1425376
Alternate Identifier(s):
OSTI ID: 1392160
Grant/Contract Number:  
[SC0011632; C-26400240; 15H05895]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
[ Journal Volume: 96; Journal Issue: 6]; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Classical black holes; Conformal field theory; dualities in field theory; entanglement in field theory; gravitation; quantum aspects of black holes; quantum entanglement; quantum gravity; string dualities; strings and branes; supergravity

Citation Formats

Bao, Ning, and Ooguri, Hirosi. Distinguishability of black hole microstates. United States: N. p., 2017. 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. Mon . "Distinguishability of black hole microstates". United States. doi:10.1103/PhysRevD.96.066017. https://www.osti.gov/servlets/purl/1425376.
@article{osti_1425376,
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}
}

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Works referenced in this record:

Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
journal, May 2006


Causality & holographic entanglement entropy
journal, December 2014

  • Headrick, Matthew; Hubeny, Veronika E.; Lawrence, Albion
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)162

Code Properties from Holographic Geometries
journal, May 2017


The large $N$ limit of superconformal field theories and supergravity
journal, January 1998


Eternal black holes in anti-de Sitter
journal, April 2003


Holographic entanglement beyond classical gravity
journal, September 2013

  • Barrella, Taylor; Dong, Xi; Hartnoll, Sean A.
  • Journal of High Energy Physics, Vol. 2013, Issue 9
  • DOI: 10.1007/JHEP09(2013)109

Thermodynamics of black holes in anti-de Sitter space
journal, December 1983

  • Hawking, S. W.; Page, Don N.
  • Communications in Mathematical Physics, Vol. 87, Issue 4
  • DOI: 10.1007/BF01208266

Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
journal, July 2016


Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
journal, June 2015

  • Pastawski, Fernando; Yoshida, Beni; Harlow, Daniel
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)149

Holographic entanglement plateaux
journal, August 2013

  • Hubeny, Veronika E.; Maxfield, Henry; Rangamani, Mukund
  • Journal of High Energy Physics, Vol. 2013, Issue 8
  • DOI: 10.1007/JHEP08(2013)092

The Ryu–Takayanagi Formula from Quantum Error Correction
journal, May 2017


Quantum statistical mechanics in a closed system
journal, February 1991


Chaos and quantum thermalization
journal, August 1994


Extremal surfaces as bulk probes in AdS/CFT
journal, July 2012


Holographic duality from random tensor networks
journal, November 2016

  • Hayden, Patrick; Nezami, Sepehr; Qi, Xiao-Liang
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)009

Holographic entanglement entropy from 2d CFT: heavy states and local quenches
journal, February 2015

  • Asplund, Curtis T.; Bernamonti, Alice; Galli, Federico
  • Journal of High Energy Physics, Vol. 2015, Issue 2
  • DOI: 10.1007/JHEP02(2015)171

Entanglement Renormalization
journal, November 2007


Bit Threads and Holographic Entanglement
journal, November 2016

  • Freedman, Michael; Headrick, Matthew
  • Communications in Mathematical Physics, Vol. 352, Issue 1
  • DOI: 10.1007/s00220-016-2796-3

Extremal surface barriers
journal, March 2014


Entanglement renormalization and holography
journal, September 2012