Relative entropy equals bulk relative entropy

Jafferis, Daniel L.; Lewkowycz, Aitor; Maldacena, Juan; Suh, S. Josephine

doi:10.1007/JHEP06(2016)004

Title: Relative entropy equals bulk relative entropy

Abstract

We consider the gravity dual of the modular Hamiltonian associated to a general subregion of a boundary theory. We use it to argue that the relative entropy of nearby states is given by the relative entropy in the bulk, to leading order in the bulk gravitational coupling. We also argue that the boundary modular flow is dual to the bulk modular flow in the entanglement wedge, with implications for entanglement wedge reconstruction.

Authors:

Jafferis, Daniel L. ^[1]; Lewkowycz, Aitor ^[2]; Maldacena, Juan ^[3]; Suh, S. Josephine ^[4]

Harvard Univ., Cambridge, MA (United States). Center for Fundamental Laws of Nature
Princeton Univ., NJ (United States)
Inst. for Advanced Study, Princeton, NJ (United States)
Kavli Inst. for Theoretical Physics, Santa Barbara, CA (United States); Univ. of British Columbia, Vancouver, BC (Canada). Dept. of Physics and Astronomy

Publication Date:: Wed Jun 01 00:00:00 EDT 2016

Research Org.:: Institute for Advanced Study, Princeton, NJ (United States)

Sponsoring Org.:: USDOE; National Science Foundation (NSF); Natural Sciences and Engineering Research Council of Canada (NSERC); Simons Foundation

OSTI Identifier:: 1327000

Grant/Contract Number:: SC0009988; PHY-1352084; PHY-1314198; PHY11-25915; 376206

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; 1/N Expansion, Models of Quantum Gravity; Field Theories in Higher Dimensions

Citation Formats


                    Jafferis, Daniel L., Lewkowycz, Aitor, Maldacena, Juan, and Suh, S. Josephine. Relative entropy equals bulk relative entropy.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP06(2016)004.

Copy to clipboard


                    Jafferis, Daniel L., Lewkowycz, Aitor, Maldacena, Juan, & Suh, S. Josephine. Relative entropy equals bulk relative entropy.  United States.  https://doi.org/10.1007/JHEP06(2016)004

Copy to clipboard


                    Jafferis, Daniel L., Lewkowycz, Aitor, Maldacena, Juan, and Suh, S. Josephine. Wed .  
"Relative entropy equals bulk relative entropy".  United States.  https://doi.org/10.1007/JHEP06(2016)004.  https://www.osti.gov/servlets/purl/1327000.

Copy to clipboard


                    
@article{osti_1327000,

  title        = {Relative entropy equals bulk relative entropy},

  author       = {Jafferis, Daniel L. and Lewkowycz, Aitor and Maldacena, Juan and Suh, S. Josephine},

  abstractNote = {We consider the gravity dual of the modular Hamiltonian associated to a general subregion of a boundary theory. We use it to argue that the relative entropy of nearby states is given by the relative entropy in the bulk, to leading order in the bulk gravitational coupling. We also argue that the boundary modular flow is dual to the bulk modular flow in the entanglement wedge, with implications for entanglement wedge reconstruction.},

  doi          = {10.1007/JHEP06(2016)004},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 6,

  volume       = 2016,

  place        = {United States},

  year         = {Wed Jun 01 00:00:00 EDT 2016},

  month        = {Wed Jun 01 00:00:00 EDT 2016}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/JHEP06(2016)004

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 272 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Relative entropy and the Bekenstein bound
journal, September 2008

Casini, H.
Classical and Quantum Gravity, Vol. 25, Issue 20
DOI: 10.1088/0264-9381/25/20/205021

Relative entropy and holography
journal, August 2013

Blanco, David D.; Casini, Horacio; Hung, Ling-Yan
Journal of High Energy Physics, Vol. 2013, Issue 8
DOI: 10.1007/JHEP08(2013)060

Gravitation from entanglement in holographic CFTs
journal, March 2014

Faulkner, Thomas; Guica, Monica; Hartman, Thomas
Journal of High Energy Physics, Vol. 2014, Issue 3
DOI: 10.1007/JHEP03(2014)051

Locality of Gravitational Systems from Entanglement of Conformal Field Theories
journal, June 2015

Lin, Jennifer; Marcolli, Matilde; Ooguri, Hirosi
Physical Review Letters, Vol. 114, Issue 22
DOI: 10.1103/PhysRevLett.114.221601

Canonical energy is quantum Fisher information
journal, April 2016

Lashkari, Nima; Van Raamsdonk, Mark
Journal of High Energy Physics, Vol. 2016, Issue 4
DOI: 10.1007/JHEP04(2016)153

Towards a derivation of holographic entanglement entropy
journal, May 2011

Casini, Horacio; Huerta, Marina; Myers, Robert C.
Journal of High Energy Physics, Vol. 2011, Issue 5
DOI: 10.1007/JHEP05(2011)036

Entanglement Entropy of Electromagnetic Edge Modes
journal, March 2015

Donnelly, William; Wall, Aron C.
Physical Review Letters, Vol. 114, Issue 11
DOI: 10.1103/PhysRevLett.114.111603

Black hole entropy and entropy of entanglement
journal, October 1995

Kabat, Daniel
Nuclear Physics B, Vol. 453, Issue 1-2
DOI: 10.1016/0550-3213(95)00443-V

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

A covariant holographic entanglement entropy proposal
journal, July 2007

Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
Journal of High Energy Physics, Vol. 2007, Issue 07
DOI: 10.1088/1126-6708/2007/07/062

Quantum corrections to holographic entanglement entropy
journal, November 2013

Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan
Journal of High Energy Physics, Vol. 2013, Issue 11
DOI: 10.1007/JHEP11(2013)074

The four laws of black hole mechanics
journal, June 1973

Bardeen, J. M.; Carter, B.; Hawking, S. W.
Communications in Mathematical Physics, Vol. 31, Issue 2
DOI: 10.1007/BF01645742

Black hole entropy is the Noether charge
journal, October 1993

Wald, Robert M.
Physical Review D, Vol. 48, Issue 8
DOI: 10.1103/PhysRevD.48.R3427

Some properties of the Noether charge and a proposal for dynamical black hole entropy
journal, July 1994

Iyer, Vivek; Wald, Robert M.
Physical Review D, Vol. 50, Issue 2
DOI: 10.1103/PhysRevD.50.846

Rényi entropy, stationarity, and entanglement of the conformal scalar
journal, March 2015

Lee, Jeongseog; Lewkowycz, Aitor; Perlmutter, Eric
Journal of High Energy Physics, Vol. 2015, Issue 3
DOI: 10.1007/JHEP03(2015)075

Stability of Black Holes and Black Branes
journal, December 2012

Hollands, Stefan; Wald, Robert M.
Communications in Mathematical Physics, Vol. 321, Issue 3
DOI: 10.1007/s00220-012-1638-1

Reduced density matrix and internal dynamics for multicomponent regions
journal, September 2009

Casini, H.; Huerta, M.
Classical and Quantum Gravity, Vol. 26, Issue 18
DOI: 10.1088/0264-9381/26/18/185005

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

The gravity dual of a density matrix
journal, July 2012

Czech, Bartłomiej; Karczmarek, Joanna L.; Nogueira, Fernando
Classical and Quantum Gravity, Vol. 29, Issue 15
DOI: 10.1088/0264-9381/29/15/155009

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

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

Maldacena, Juan
Journal of High Energy Physics, Vol. 2003, Issue 04
DOI: 10.1088/1126-6708/2003/04/021

Cool horizons for entangled black holes
journal, August 2013

Maldacena, J.; Susskind, L.
Fortschritte der Physik, Vol. 61, Issue 9
DOI: 10.1002/prop.201300020

The off-shell black hole
journal, July 1995

Carlip, Steven; Teitelboim, Claudio
Classical and Quantum Gravity, Vol. 12, Issue 7
DOI: 10.1088/0264-9381/12/7/011

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
journal, November 2014

Wall, Aron C.
Classical and Quantum Gravity, Vol. 31, Issue 22
DOI: 10.1088/0264-9381/31/22/225007

Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
journal, May 2014

Morrison, Ian A.
Journal of High Energy Physics, Vol. 2014, Issue 5
DOI: 10.1007/JHEP05(2014)053

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

Coarse-grained entropy and causal holographic information in AdS/CFT
journal, March 2014

Kelly, William R.; Wall, Aron C.
Journal of High Energy Physics, Vol. 2014, Issue 3
DOI: 10.1007/JHEP03(2014)118

Entanglement Equilibrium and the Einstein Equation
journal, May 2016

Jacobson, Ted
Physical Review Letters, Vol. 116, Issue 20
DOI: 10.1103/PhysRevLett.116.201101

Aspects of entanglement entropy for gauge theories
journal, January 2016

Soni, Ronak M.; Trivedi, Sandip P.
Journal of High Energy Physics, Vol. 2016, Issue 1
DOI: 10.1007/JHEP01(2016)136

Black holes: complementarity or firewalls?
journal, February 2013

Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph
Journal of High Energy Physics, Vol. 2013, Issue 2
DOI: 10.1007/JHEP02(2013)062

An apologia for firewalls
journal, September 2013

Almheiri, Ahmed; Marolf, Donald; Polchinski, Joseph
Journal of High Energy Physics, Vol. 2013, Issue 9
DOI: 10.1007/JHEP09(2013)018

Gauge-Gravity Duality and the Black Hole Interior
journal, October 2013

Marolf, Donald; Polchinski, Joseph
Physical Review Letters, Vol. 111, Issue 17
DOI: 10.1103/PhysRevLett.111.171301

A Covariant Holographic Entanglement Entropy Proposal
text, January 2007

Hubeny, Veronika E.; Rangamani, Mukund; Takayanagi, Tadashi
arXiv
DOI: 10.48550/arxiv.0705.0016

Relative entropy and the Bekenstein bound
text, January 2008

Casini, H.
arXiv
DOI: 10.48550/arxiv.0804.2182

Towards a derivation of holographic entanglement entropy
text, January 2011

Casini, Horacio; Huerta, Marina; Myers, Robert C.
arXiv
DOI: 10.48550/arxiv.1102.0440

An Infalling Observer in AdS/CFT
text, January 2012

Papadodimas, Kyriakos; Raju, Suvrat
arXiv
DOI: 10.48550/arxiv.1211.6767

Cool horizons for entangled black holes
text, January 2013

Maldacena, Juan; Susskind, Leonard
arXiv
DOI: 10.48550/arxiv.1306.0533

Quantum corrections to holographic entanglement entropy
text, January 2013

Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan
arXiv
DOI: 10.48550/arxiv.1307.2892

Gauge/Gravity Duality and the Black Hole Interior
text, January 2013

Marolf, Donald; Polchinski, Joseph
arXiv
DOI: 10.48550/arxiv.1307.4706

Coarse-grained entropy and causal holographic information in AdS/CFT
text, January 2013

Kelly, William R.; Wall, Aron C.
arXiv
DOI: 10.48550/arxiv.1309.3610

Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
text, January 2014

Morrison, Ian A.
arXiv
DOI: 10.48550/arxiv.1403.3426

Causality & holographic entanglement entropy
text, January 2014

Headrick, Matthew; Hubeny, Veronika E.; Lawrence, Albion
arXiv
DOI: 10.48550/arxiv.1408.6300

Entanglement Equilibrium and the Einstein Equation
text, January 2015

Jacobson, Ted
arXiv
DOI: 10.48550/arxiv.1505.04753

Canonical Energy is Quantum Fisher Information
text, January 2015

Lashkari, Nima; Van Raamsdonk, Mark
arXiv
DOI: 10.48550/arxiv.1508.00897

Black Hole Entropy is Noether Charge
text, January 1993

Wald, Robert M.
arXiv
DOI: 10.48550/arxiv.gr-qc/9307038

The Off-Shell Black Hole
text, January 1993

Carlip, S.; Teitelboim, C.
arXiv
DOI: 10.48550/arxiv.gr-qc/9312002

Black Hole Entropy and Entropy of Entanglement
text, January 1995

Kabat, Daniel
arXiv
DOI: 10.48550/arxiv.hep-th/9503016

Works referencing / citing this record:

Superselection sectors of gravitational subregions
journal, January 2019

Camps, Joan
Journal of High Energy Physics, Vol. 2019, Issue 1
DOI: 10.1007/jhep01(2019)182

Probing typical black hole microstates
journal, January 2020

de Boer, Jan; van Breukelen, Rik; Lokhande, Sagar F.
Journal of High Energy Physics, Vol. 2020, Issue 1
DOI: 10.1007/jhep01(2020)062

The holographic dual of the entanglement wedge symplectic form
journal, January 2020

Kirklin, Josh
Journal of High Energy Physics, Vol. 2020, Issue 1
DOI: 10.1007/jhep01(2020)071

Nearly AdS2 holography in quantum CGHS model
journal, January 2020

Hirano, Shinji; Lei, Yang
Journal of High Energy Physics, Vol. 2020, Issue 1
DOI: 10.1007/jhep01(2020)178

Expanding the black hole interior: partially entangled thermal states in SYK
journal, February 2019

Goel, Akash; Lam, Ho Tat; Turiaci, Gustavo J.
Journal of High Energy Physics, Vol. 2019, Issue 2
DOI: 10.1007/jhep02(2019)156

No simple dual to the causal holographic information?
journal, April 2017

Engelhardt, Netta; Wall, Aron C.
Journal of High Energy Physics, Vol. 2017, Issue 4
DOI: 10.1007/jhep04(2017)134

Gravity from entanglement and RG flow in a top-down approach
journal, May 2018

Kwon, O-Kab; Jang, Dongmin; Kim, Yoonbai
Journal of High Energy Physics, Vol. 2018, Issue 5
DOI: 10.1007/jhep05(2018)009

Holographic complexity in Vaidya spacetimes. Part I
journal, June 2018

Chapman, Shira; Marrochio, Hugo; Myers, Robert C.
Journal of High Energy Physics, Vol. 2018, Issue 6
DOI: 10.1007/jhep06(2018)046

Connecting Fisher information to bulk entanglement in holography
journal, August 2018

Banerjee, Souvik; Erdmenger, Johanna; Sarkar, Debajyoti
Journal of High Energy Physics, Vol. 2018, Issue 8
DOI: 10.1007/jhep08(2018)001

Spectrum of modular Hamiltonian in the vacuum and excited states
journal, October 2019

Das, Suchetan; Ezhuthachan, Bobby
Journal of High Energy Physics, Vol. 2019, Issue 10
DOI: 10.1007/jhep10(2019)009

Subsystem trace distance in low-lying states of (1 + 1)-dimensional conformal field theories
journal, October 2019

Zhang, Jiaju; Ruggiero, Paola; Calabrese, Pasquale
Journal of High Energy Physics, Vol. 2019, Issue 10
DOI: 10.1007/jhep10(2019)181

Symmetries, charges and conservation laws at causal diamonds in general relativity
journal, October 2019

Chandrasekaran, Venkatesa; Prabhu, Kartik
Journal of High Energy Physics, Vol. 2019, Issue 10
DOI: 10.1007/jhep10(2019)229

Quantum tasks in holography
journal, October 2019

May, Alex
Journal of High Energy Physics, Vol. 2019, Issue 10
DOI: 10.1007/jhep10(2019)233

On volumes of subregions in holography and complexity
journal, November 2016

Ben-Ami, Omer; Carmi, Dean
Journal of High Energy Physics, Vol. 2016, Issue 11
DOI: 10.1007/jhep11(2016)129

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
journal, December 2019

Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald
Journal of High Energy Physics, Vol. 2019, Issue 12
DOI: 10.1007/jhep12(2019)063

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

Harlow, Daniel
Communications in Mathematical Physics, Vol. 354, Issue 3
DOI: 10.1007/s00220-017-2904-z

News versus information
journal, September 2019

Hollands, Stefan; Ishibashi, Akihiro
Classical and Quantum Gravity, Vol. 36, Issue 19
DOI: 10.1088/1361-6382/ab3c1e

Entanglement Hamiltonians in 1D free lattice models after a global quantum quench
journal, December 2019

Di Giulio, Giuseppe; Arias, Raúl; Tonni, Erik
Journal of Statistical Mechanics: Theory and Experiment, Vol. 2019, Issue 12
DOI: 10.1088/1742-5468/ab4e8f

Modular Hamiltonians on the null plane and the Markov property of the vacuum state
journal, August 2017

Casini, Horacio; Testé, Eduardo; Torroba, Gonzalo
Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 36
DOI: 10.1088/1751-8121/aa7eaa

Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem
journal, October 2018

Giudici, G.; Mendes-Santos, T.; Calabrese, P.
Physical Review B, Vol. 98, Issue 13
DOI: 10.1103/physrevb.98.134403

Entanglement entropy and subregion complexity in thermal perturbations around pure AdS spacetime
journal, December 2019

Bhattacharya, Aranya; Grosvenor, Kevin T.; Roy, Shibaji
Physical Review D, Vol. 100, Issue 12
DOI: 10.1103/physrevd.100.126004

First law of entanglement rates from holography
journal, September 2017

O’Bannon, Andy; Probst, Jonas; Rodgers, Ronnie
Physical Review D, Vol. 96, Issue 6
DOI: 10.1103/physrevd.96.066028

Pulling the boundary into the bulk
journal, July 2018

Nomura, Yasunori; Rath, Pratik; Salzetta, Nico
Physical Review D, Vol. 98, Issue 2
DOI: 10.1103/physrevd.98.026010

Complete Einstein equations from the generalized First Law of Entanglement
journal, July 2018

Oh, Eunseok; Park, I. Y.; Sin, Sang-Jin
Physical Review D, Vol. 98, Issue 2
DOI: 10.1103/physrevd.98.026020

Relative entropy for coherent states from Araki formula
journal, June 2019

Casini, Horacio; Grillo, Sergio; Pontello, Diego
Physical Review D, Vol. 99, Issue 12
DOI: 10.1103/physrevd.99.125020

Subsystem Trace Distance in Quantum Field Theory
journal, April 2019

Zhang, Jiaju; Ruggiero, Paola; Calabrese, Pasquale
Physical Review Letters, Vol. 122, Issue 14
DOI: 10.1103/physrevlett.122.141602

Entanglement Spectrum of Chiral Fermions on the Torus
journal, November 2019

Fries, Pascal; Reyes, Ignacio A.
Physical Review Letters, Vol. 123, Issue 21
DOI: 10.1103/physrevlett.123.211603

Entanglement wedge reconstruction and entanglement of purification
journal, August 2018

Espíndola, Ricardo; Güijosa, Alberto; Pedraza, Juan F.
The European Physical Journal C, Vol. 78, Issue 8
DOI: 10.1140/epjc/s10052-018-6140-2

Bulk entanglement entropy in perturbative excited states
journal, January 2018

Belin, Alexandre; Iqbal, Nabil; Lokhande, Sagar F.
SciPost Physics, Vol. 5, Issue 3
DOI: 10.21468/scipostphys.5.3.024

The holographic dual of the entanglement wedge symplectic form
text, January 2020

Kirklin, Josh
Apollo - University of Cambridge Repository
DOI: 10.17863/cam.53403

Quantum tasks in holography
text, January 2021

May, Alex
University of British Columbia
DOI: 10.14288/1.0401122

The holographic dual of the entanglement wedge symplectic form
text, January 2020

Kirklin, Josh
Apollo - University of Cambridge Repository
DOI: 10.17863/cam.63253

Equivalence of Emergent de Sitter Spaces from Conformal Field Theory
text, January 2016

Asplund, Curtis T.; Callebaut, Nele; Zukowski, Claire
arXiv
DOI: 10.48550/arxiv.1604.02687

Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition
text, January 2016

Faulkner, Thomas; Leigh, Robert G.; Parrikar, Onkar
arXiv
DOI: 10.48550/arxiv.1605.08072

Entanglement Entropy and Duality
preprint, January 2016

Radicevic, Djordje
arXiv
DOI: 10.48550/arxiv.1605.09396

The Ryu-Takayanagi Formula from Quantum Error Correction
text, January 2016

Harlow, Daniel
arXiv
DOI: 10.48550/arxiv.1607.03901

Deriving covariant holographic entanglement
text, January 2016

Dong, Xi; Lewkowycz, Aitor; Rangamani, Mukund
arXiv
DOI: 10.48550/arxiv.1607.07506

Modular Hamiltonians on the null plane and the Markov property of the vacuum state
text, January 2017

Casini, Horacio; Teste, Eduardo; Torroba, Gonzalo
arXiv
DOI: 10.48550/arxiv.1703.10656

Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields
text, January 2017

Sárosi, Gábor; Ugajin, Tomonori
arXiv
DOI: 10.48550/arxiv.1705.01486

Local phase space and edge modes for diffeomorphism-invariant theories
text, January 2017

Speranza, Antony J.
arXiv
DOI: 10.48550/arxiv.1706.05061

Complete Einstein equation from the generalized First Law of Entanglement
text, January 2017

Oh, Eunseok; Park, I. Y.; Sin, Sang-Jin
arXiv
DOI: 10.48550/arxiv.1709.05752

Entanglement of purification: from spin chains to holography
text, January 2017

Nguyen, Phuc; Devakul, Trithep; Halbasch, Matthew G.
arXiv
DOI: 10.48550/arxiv.1709.07424

Gravity from Entanglement and RG Flow in a Top-down Approach
preprint, January 2017

Jang, Dongmin; Kim, Yoonbai; Kwon, O-Kab
arXiv
DOI: 10.48550/arxiv.1712.09101

Entanglement Wedge Reconstruction and Entanglement of Purification
text, January 2018

Espíndola, Ricardo; Guijosa, Alberto; Pedraza, Juan F.
arXiv
DOI: 10.48550/arxiv.1804.05855

On the interior geometry of a typical black hole microstate
text, January 2018

de Boer, Jan; van Breukelen, Rik; Lokhande, Sagar F.
arXiv
DOI: 10.48550/arxiv.1804.10580

The holographic entropy zoo
text, January 2018

May, Alex; Hijano, Eliot
arXiv
DOI: 10.48550/arxiv.1806.06077

Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK
text, January 2018

Goel, Akash; Lam, Ho Tat; Turiaci, Gustavo J.
arXiv
DOI: 10.48550/arxiv.1807.03916

Learning the Alpha-bits of Black Holes
text, January 2018

Hayden, Patrick; Penington, Geoffrey
arXiv
DOI: 10.48550/arxiv.1807.06041

Entanglement negativity and minimal entanglement wedge cross sections in holographic theories
text, January 2018

Kudler-Flam, Jonah; Ryu, Shinsei
arXiv
DOI: 10.48550/arxiv.1808.00446

Flat entanglement spectra in fixed-area states of quantum gravity
text, January 2018

Dong, Xi; Harlow, Daniel; Marolf, Donald
arXiv
DOI: 10.48550/arxiv.1811.05382

Quantum Null Energy Condition and its (non)saturation in 2d CFTs
text, January 2019

Ecker, Christian; Grumiller, Daniel; van der Schee, Wilke
arXiv
DOI: 10.48550/arxiv.1901.04499

Entanglement Wedge Reconstruction using the Petz Map
text, January 2019

Chen, Chi-Fang; Penington, Geoffrey; Salton, Grant
arXiv
DOI: 10.48550/arxiv.1902.02844

Relative entropy for coherent states from Araki formula
text, January 2019

Casini, Horacio; Grillo, Sergio; Pontello, Diego
arXiv
DOI: 10.48550/arxiv.1903.00109

Entanglement Entropy of Two Coupled SYK Models and Eternal Traversable Wormhole
text, January 2019

Chen, Yiming; Zhang, Pengfei
arXiv
DOI: 10.48550/arxiv.1903.10532

Entanglement Entropy and Subregion Complexity in Thermal Perturbations around Pure-AdS Spacetime
text, January 2019

Bhattacharya, Aranya; Grosvenor, Kevin T.; Roy, Shibaji
arXiv
DOI: 10.48550/arxiv.1905.02220

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
text, January 2019

Almheiri, Ahmed; Engelhardt, Netta; Marolf, Donald
arXiv
DOI: 10.48550/arxiv.1905.08762

Entanglement entropy and superselection sectors I. Global symmetries
text, January 2019

Casini, Horacio; Huerta, Marina; Magan, Javier M.
arXiv
DOI: 10.48550/arxiv.1905.10487

Spectrum of Modular Hamiltonian in the Vacuum and Excited States
text, January 2019

Das, Suchetan; Ezhuthachan, Bobby
arXiv
DOI: 10.48550/arxiv.1906.00726

Symmetries, charges and conservation laws at causal diamonds in general relativity
text, January 2019

Chandrasekaran, Venkatesa; Prabhu, Kartik
arXiv
DOI: 10.48550/arxiv.1908.00017

Large Breakdowns of Entanglement Wedge Reconstruction
text, January 2019

Akers, Chris; Leichenauer, Stefan; Levine, Adam
arXiv
DOI: 10.48550/arxiv.1908.03975

Entanglement Wedges from Information Metric in Conformal Field Theories
text, January 2019

Suzuki, Yuki; Takayanagi, Tadashi; Umemoto, Koji
arXiv
DOI: 10.48550/arxiv.1908.09939

Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT
text, January 2019

Fu, Zicao; Marolf, Donald
arXiv
DOI: 10.48550/arxiv.1909.02505

The Holographic Dual of the Entanglement Wedge Symplectic Form
text, January 2019

Kirklin, Josh
arXiv
DOI: 10.48550/arxiv.1910.00457

Nearly AdS$_2$ holography in quantum CGHS model
text, January 2019

Hirano, Shinji; Lei, Yang
arXiv
DOI: 10.48550/arxiv.1910.12542

Similar Records in DOE PAGES and OSTI.GOV collections:

Deriving covariant holographic entanglement

Journal Article Dong, Xi ; Lewkowycz, Aitor ; Rangamani, Mukund - Journal of High Energy Physics (Online)

We provide a gravitational argument in favour of the covariant holographic entanglement entropy proposal. In general time-dependent states, the proposal asserts that the entanglement entropy of a region in the boundary field theory is given by a quarter of the area of a bulk extremal surface in Planck units. The main element of our discussion is an implementation of an appropriate Schwinger-Keldysh contour to obtain the reduced density matrix (and its powers) of a given region, as is relevant for the replica construction. We map this contour into the bulk gravitational theory, and argue that the saddle point solutions ofmore »« less
Cited by 97
https://doi.org/10.1007/JHEP11(2016)028

Full Text Available
Entropy, extremality, euclidean variations, and the equations of motion

Journal Article Dong, Xi ; Lewkowycz, Aitor - Journal of High Energy Physics (Online)

We study the Euclidean gravitational path integral computing the Rényi entropy and analyze its behavior under small variations. We argue that, in Einstein gravity, the extremality condition can be understood from the variational principle at the level of the action, without having to solve explicitly the equations of motion. This set-up is then generalized to arbitrary theories of gravity, where we show that the respective entanglement entropy functional needs to be extremized. We also extend this result to all orders in Newton’s constant G_N, providing a derivation of quantum extremality. Understanding quantum extremality for mixtures of states provides a generalizationmore »« less
Cited by 90
https://doi.org/10.1007/jhep01(2018)081

Full Text Available
A general proof of the quantum null energy condition

Journal Article Balakrishnan, Srivatsan ; Faulkner, Thomas ; Khandker, Zuhair U. ; ... - Journal of High Energy Physics (Online)

We prove a conjectured lower bound on ⟨T_ _(x)⟩more »« less
Cited by 76
https://doi.org/10.1007/jhep09(2019)020

Full Text Available
The holographic shape of entanglement and Einstein’s equations

Journal Article Lewkowycz, Aitor ; Parrikar, Onkar - Journal of High Energy Physics (Online)

We study shape-deformations of the entanglement entropy and the modular Hamiltonian for an arbitrary subregion and state (with a smooth dual geometry) in a holographic conformal field theory. More precisely, we study a double-deformation comprising of a shape deformation together with a state deformation, where the latter corresponds to a small change in the bulk geometry. Using a purely gravitational identity from the Hollands-Iyer-Wald formalism together with the assumption of equality between bulk and boundary modular flows for the original, undeformed state and subregion, we rewrite a purely CFT expression for this double deformation of the entropy in terms ofmore »« less
Cited by 26
https://doi.org/10.1007/jhep05(2018)147

Full Text Available
Scattering strings off quantum extremal surfaces

Journal Article Chandrasekaran, Venkatesa ; Faulkner, Thomas ; Levine, Adam - Journal of High Energy Physics (Online)

We consider a Hayden & Preskill like setup for both maximally chaotic and sub-maximally chaotic quantum field theories. We act on the vacuum with an operator in a Rindler like wedge R and transfer a small subregion I of R to the other wedge. The chaotic scrambling dynamics of the QFT Rindler time evolution reveals the information in the other wedge. The holographic dual of this process involves a particle excitation falling into the bulk and crossing into the entanglement wedge of the complement to r = R\I. With the goal of studying the locality of the emergent holographic theorymore »« less
https://doi.org/10.1007/jhep08(2022)143

Full Text Available

Similar Records

Title: Relative entropy equals bulk relative entropy

Abstract

Citation Formats

Relative entropy and the Bekenstein bound journal, September 2008

Relative entropy and holography journal, August 2013

Gravitation from entanglement in holographic CFTs journal, March 2014

Locality of Gravitational Systems from Entanglement of Conformal Field Theories journal, June 2015

Canonical energy is quantum Fisher information journal, April 2016

Towards a derivation of holographic entanglement entropy journal, May 2011

Entanglement Entropy of Electromagnetic Edge Modes journal, March 2015

Black hole entropy and entropy of entanglement journal, October 1995

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

A covariant holographic entanglement entropy proposal journal, July 2007

Quantum corrections to holographic entanglement entropy journal, November 2013

The four laws of black hole mechanics journal, June 1973

Black hole entropy is the Noether charge journal, October 1993

Some properties of the Noether charge and a proposal for dynamical black hole entropy journal, July 1994

Rényi entropy, stationarity, and entanglement of the conformal scalar journal, March 2015

Stability of Black Holes and Black Branes journal, December 2012

Reduced density matrix and internal dynamics for multicomponent regions journal, September 2009

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

The gravity dual of a density matrix journal, July 2012

Causality & holographic entanglement entropy journal, December 2014

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

Cool horizons for entangled black holes journal, August 2013

The off-shell black hole journal, July 1995

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy journal, November 2014

Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography journal, May 2014

An infalling observer in AdS/CFT journal, October 2013

Coarse-grained entropy and causal holographic information in AdS/CFT journal, March 2014

Entanglement Equilibrium and the Einstein Equation journal, May 2016

Aspects of entanglement entropy for gauge theories journal, January 2016

Black holes: complementarity or firewalls? journal, February 2013

An apologia for firewalls journal, September 2013

Gauge-Gravity Duality and the Black Hole Interior journal, October 2013

A Covariant Holographic Entanglement Entropy Proposal text, January 2007

Relative entropy and the Bekenstein bound text, January 2008

Towards a derivation of holographic entanglement entropy text, January 2011

An Infalling Observer in AdS/CFT text, January 2012

Cool horizons for entangled black holes text, January 2013

Quantum corrections to holographic entanglement entropy text, January 2013

Gauge/Gravity Duality and the Black Hole Interior text, January 2013

Coarse-grained entropy and causal holographic information in AdS/CFT text, January 2013

Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography text, January 2014

Causality & holographic entanglement entropy text, January 2014

Entanglement Equilibrium and the Einstein Equation text, January 2015

Canonical Energy is Quantum Fisher Information text, January 2015

Black Hole Entropy is Noether Charge text, January 1993

The Off-Shell Black Hole text, January 1993

Black Hole Entropy and Entropy of Entanglement text, January 1995

Superselection sectors of gravitational subregions journal, January 2019

Probing typical black hole microstates journal, January 2020

The holographic dual of the entanglement wedge symplectic form journal, January 2020

Nearly AdS2 holography in quantum CGHS model journal, January 2020

Expanding the black hole interior: partially entangled thermal states in SYK journal, February 2019

No simple dual to the causal holographic information? journal, April 2017

Gravity from entanglement and RG flow in a top-down approach journal, May 2018

Holographic complexity in Vaidya spacetimes. Part I journal, June 2018

Connecting Fisher information to bulk entanglement in holography journal, August 2018

Spectrum of modular Hamiltonian in the vacuum and excited states journal, October 2019

Subsystem trace distance in low-lying states of (1 + 1)-dimensional conformal field theories journal, October 2019

Symmetries, charges and conservation laws at causal diamonds in general relativity journal, October 2019

Quantum tasks in holography journal, October 2019

On volumes of subregions in holography and complexity journal, November 2016

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole journal, December 2019

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

News versus information journal, September 2019

Entanglement Hamiltonians in 1D free lattice models after a global quantum quench journal, December 2019

Modular Hamiltonians on the null plane and the Markov property of the vacuum state journal, August 2017

Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem journal, October 2018

Entanglement entropy and subregion complexity in thermal perturbations around pure AdS spacetime journal, December 2019

First law of entanglement rates from holography journal, September 2017

Pulling the boundary into the bulk journal, July 2018

Complete Einstein equations from the generalized First Law of Entanglement journal, July 2018

Relative entropy for coherent states from Araki formula journal, June 2019

Subsystem Trace Distance in Quantum Field Theory journal, April 2019

Entanglement Spectrum of Chiral Fermions on the Torus journal, November 2019

Entanglement wedge reconstruction and entanglement of purification journal, August 2018

Bulk entanglement entropy in perturbative excited states journal, January 2018

The holographic dual of the entanglement wedge symplectic form text, January 2020

Relative entropy and the Bekenstein bound
journal, September 2008

Relative entropy and holography
journal, August 2013

Gravitation from entanglement in holographic CFTs
journal, March 2014

Locality of Gravitational Systems from Entanglement of Conformal Field Theories
journal, June 2015

Canonical energy is quantum Fisher information
journal, April 2016

Towards a derivation of holographic entanglement entropy
journal, May 2011

Entanglement Entropy of Electromagnetic Edge Modes
journal, March 2015

Black hole entropy and entropy of entanglement
journal, October 1995

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

A covariant holographic entanglement entropy proposal
journal, July 2007

Quantum corrections to holographic entanglement entropy
journal, November 2013

The four laws of black hole mechanics
journal, June 1973

Black hole entropy is the Noether charge
journal, October 1993

Some properties of the Noether charge and a proposal for dynamical black hole entropy
journal, July 1994

Rényi entropy, stationarity, and entanglement of the conformal scalar
journal, March 2015

Stability of Black Holes and Black Branes
journal, December 2012

Reduced density matrix and internal dynamics for multicomponent regions
journal, September 2009

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

The gravity dual of a density matrix
journal, July 2012

Causality & holographic entanglement entropy
journal, December 2014

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

Cool horizons for entangled black holes
journal, August 2013

The off-shell black hole
journal, July 1995

Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy
journal, November 2014

Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
journal, May 2014

An infalling observer in AdS/CFT
journal, October 2013

Coarse-grained entropy and causal holographic information in AdS/CFT
journal, March 2014

Entanglement Equilibrium and the Einstein Equation
journal, May 2016

Aspects of entanglement entropy for gauge theories
journal, January 2016

Black holes: complementarity or firewalls?
journal, February 2013

An apologia for firewalls
journal, September 2013

Gauge-Gravity Duality and the Black Hole Interior
journal, October 2013

A Covariant Holographic Entanglement Entropy Proposal
text, January 2007

Relative entropy and the Bekenstein bound
text, January 2008

Towards a derivation of holographic entanglement entropy
text, January 2011

An Infalling Observer in AdS/CFT
text, January 2012

Cool horizons for entangled black holes
text, January 2013

Quantum corrections to holographic entanglement entropy
text, January 2013

Gauge/Gravity Duality and the Black Hole Interior
text, January 2013

Coarse-grained entropy and causal holographic information in AdS/CFT
text, January 2013

Boundary-to-bulk maps for AdS causal wedges and the Reeh-Schlieder property in holography
text, January 2014

Causality & holographic entanglement entropy
text, January 2014

Entanglement Equilibrium and the Einstein Equation
text, January 2015

Canonical Energy is Quantum Fisher Information
text, January 2015

Black Hole Entropy is Noether Charge
text, January 1993

The Off-Shell Black Hole
text, January 1993

Black Hole Entropy and Entropy of Entanglement
text, January 1995

Superselection sectors of gravitational subregions
journal, January 2019

Probing typical black hole microstates
journal, January 2020

The holographic dual of the entanglement wedge symplectic form
journal, January 2020

Nearly AdS2 holography in quantum CGHS model
journal, January 2020

Expanding the black hole interior: partially entangled thermal states in SYK
journal, February 2019

No simple dual to the causal holographic information?
journal, April 2017

Gravity from entanglement and RG flow in a top-down approach
journal, May 2018

Holographic complexity in Vaidya spacetimes. Part I
journal, June 2018

Connecting Fisher information to bulk entanglement in holography
journal, August 2018

Spectrum of modular Hamiltonian in the vacuum and excited states
journal, October 2019

Subsystem trace distance in low-lying states of (1 + 1)-dimensional conformal field theories
journal, October 2019

Symmetries, charges and conservation laws at causal diamonds in general relativity
journal, October 2019

Quantum tasks in holography
journal, October 2019

On volumes of subregions in holography and complexity
journal, November 2016

The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
journal, December 2019

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

News versus information
journal, September 2019

Entanglement Hamiltonians in 1D free lattice models after a global quantum quench
journal, December 2019

Modular Hamiltonians on the null plane and the Markov property of the vacuum state
journal, August 2017

Entanglement Hamiltonians of lattice models via the Bisognano-Wichmann theorem
journal, October 2018

Entanglement entropy and subregion complexity in thermal perturbations around pure AdS spacetime
journal, December 2019

First law of entanglement rates from holography
journal, September 2017

Pulling the boundary into the bulk
journal, July 2018

Complete Einstein equations from the generalized First Law of Entanglement
journal, July 2018

Relative entropy for coherent states from Araki formula
journal, June 2019

Subsystem Trace Distance in Quantum Field Theory
journal, April 2019

Entanglement Spectrum of Chiral Fermions on the Torus
journal, November 2019

Entanglement wedge reconstruction and entanglement of purification
journal, August 2018

Bulk entanglement entropy in perturbative excited states
journal, January 2018

The holographic dual of the entanglement wedge symplectic form
text, January 2020

Quantum tasks in holography
text, January 2021

The holographic dual of the entanglement wedge symplectic form
text, January 2020

Equivalence of Emergent de Sitter Spaces from Conformal Field Theory
text, January 2016