Large breakdowns of entanglement wedge reconstruction

Akers, Chris; Levine, Adam; Leichenauer, Stefan

doi:10.1103/PhysRevD.100.126006

Title: Large breakdowns of entanglement wedge reconstruction

Abstract

We show that the bulk region reconstructable from a given boundary subregion—which we term the reconstruction wedge—can be much smaller than the entanglement wedge even when backreaction is small. We find arbitrarily large separations between the reconstruction and entanglement wedges in near-vacuum states for regions close to an entanglement phase transition, and for more general regions in states with large energy (but very low energy density). Our examples also illustrate situations for which the quantum extremal surface is macroscopically different from the Ryu-Takayanagi surface.

Authors:

; Levine, Adam; Leichenauer, Stefan

Publication Date:: 2019-12-03

Research Org.:: Univ. of California, Oakland, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Science Foundation (NSF)

OSTI Identifier:: 1576860

Alternate Identifier(s):: OSTI ID: 1803760

Grant/Contract Number:: AC02-05CH11231; SC0019380; PHY-1521446

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 12; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics

Citation Formats


                    Akers, Chris, Levine, Adam, and Leichenauer, Stefan. Large breakdowns of entanglement wedge reconstruction.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevD.100.126006.

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                    Akers, Chris, Levine, Adam, & Leichenauer, Stefan. Large breakdowns of entanglement wedge reconstruction.  United States.  https://doi.org/10.1103/PhysRevD.100.126006

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                    Akers, Chris, Levine, Adam, and Leichenauer, Stefan. Tue .  
"Large breakdowns of entanglement wedge reconstruction".  United States.  https://doi.org/10.1103/PhysRevD.100.126006.

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@article{osti_1576860,

  title        = {Large breakdowns of entanglement wedge reconstruction},

  author       = {Akers, Chris and Levine, Adam and Leichenauer, Stefan},

  abstractNote = {We show that the bulk region reconstructable from a given boundary subregion—which we term the reconstruction wedge—can be much smaller than the entanglement wedge even when backreaction is small. We find arbitrarily large separations between the reconstruction and entanglement wedges in near-vacuum states for regions close to an entanglement phase transition, and for more general regions in states with large energy (but very low energy density). Our examples also illustrate situations for which the quantum extremal surface is macroscopically different from the Ryu-Takayanagi surface.},

  doi          = {10.1103/PhysRevD.100.126006},

  journal      = {Physical Review D},

  number       = 12,

  volume       = 100,

  place        = {United States},

  year         = {2019},

  month        = {12}

}

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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

Ryu, Shinsei; Takayanagi, Tadashi
Physical Review Letters, Vol. 96, Issue 18
DOI: 10.1103/PhysRevLett.96.181602

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
journal, January 2015

Engelhardt, Netta; Wall, Aron C.
Journal of High Energy Physics, Vol. 2015, Issue 1
DOI: 10.1007/JHEP01(2015)073

Bulk locality and quantum error correction in AdS/CFT
journal, April 2015

Almheiri, Ahmed; Dong, Xi; Harlow, Daniel
Journal of High Energy Physics, Vol. 2015, Issue 4
DOI: 10.1007/JHEP04(2015)163

Aspects of holographic entanglement entropy
journal, August 2006

Ryu, Shinsei; Takayanagi, Tadashi
Journal of High Energy Physics, Vol. 2006, Issue 08
DOI: 10.1088/1126-6708/2006/08/045

Holographic Renyi entropy from quantum error correction
journal, May 2019

Akers, Chris; Rath, Pratik
Journal of High Energy Physics, Vol. 2019, Issue 5
DOI: 10.1007/JHEP05(2019)052

Relative entropy equals bulk relative entropy
journal, June 2016

Jafferis, Daniel L.; Lewkowycz, Aitor; Maldacena, Juan
Journal of High Energy Physics, Vol. 2016, Issue 6
DOI: 10.1007/JHEP06(2016)004

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

Dong, Xi; Harlow, Daniel; Wall, Aron C.
Physical Review Letters, Vol. 117, Issue 2
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An infalling observer in AdS/CFT
journal, October 2013

Papadodimas, Kyriakos; Raju, Suvrat
Journal of High Energy Physics, Vol. 2013, Issue 10
DOI: 10.1007/JHEP10(2013)212

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Title: Large breakdowns of entanglement wedge reconstruction

Abstract

Citation Formats

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

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime journal, January 2015

Bulk locality and quantum error correction in AdS/CFT journal, April 2015

Aspects of holographic entanglement entropy journal, August 2006

Holographic Renyi entropy from quantum error correction journal, May 2019

Relative entropy equals bulk relative entropy journal, June 2016

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

An infalling observer in AdS/CFT journal, October 2013

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

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
journal, January 2015

Bulk locality and quantum error correction in AdS/CFT
journal, April 2015

Aspects of holographic entanglement entropy
journal, August 2006

Holographic Renyi entropy from quantum error correction
journal, May 2019

Relative entropy equals bulk relative entropy
journal, June 2016

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

An infalling observer in AdS/CFT
journal, October 2013