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When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time.
Proof of the strong subadditivity of quantum-mechanical entropy
Elliott H Lieb and Mary Beth Ruskai · 1973
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Black hole explosions?
Stephen W Hawking · 1974
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Particle creation by black holes
Stephen W Hawking · 1975
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Particle emission rates from a black hole: massless particles from an uncharged, nonrotating hole
Don N Page · 1976
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Thermodynamics of black holes in anti-de Sitter space
Stephen W Hawking and Don N Page · 1983
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The stefan-boltzmann constant in n-dimensional space
Peter T Landsberg and Alexis De Vos · 1989
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The stretched horizon and black hole complementarity
Leonard Susskind, Larus Thorlacius, and John Uglum · 1993
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Information in black hole radiation
Don N Page · 1993
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Average entropy of a subsystem
Don N Page · 1993
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Gapless spin-fluid ground state in a random quantum heisenberg magnet
Subir Sachdev and Jinwu Ye · 1993
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Les houches lectures on black holes
Andy Strominger · 1995
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Anti de Sitter space and holography
Edward Witten · 1998
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Lecture notes for physics 229: Quantum information and computation
John Preskill · 1998
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The large-N limit of superconformal field theories and supergravity
Juan Maldacena · 1999
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Eternal black holes in anti-de Sitter
Juan Maldacena · 2003
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The black hole final state
Gary T Horowitz and Juan Maldacena · 2004
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Entanglement entropy and quantum field theory
Pasquale Calabrese and John Cardy · 2004
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Tema con variazioni: quantum channel capacity
Dennis Kretschmann and Reinhard F Werner · 2004
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Quantum entropy and its use
Masanori Ohya and Dénes Petz · 2004
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Holographic derivation of entanglement entropy from the anti–de Sitter space/conformal field theory correspondence
Shinsei Ryu and Tadashi Takayanagi · 2006
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Local bulk operators in AdS/CFT correspondence: A boundary view of horizons and locality
Alex Hamilton, Daniel Kabat, Gilad Lifschytz, and David A Lowe · 2006
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Black holes as mirrors: quantum information in random subsystems
Patrick Hayden and John Preskill · 2007
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Holographic proof of the strong subadditivity of entanglement entropy
Matthew Headrick and Tadashi Takayanagi · 2007
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A covariant holographic entanglement entropy proposal
Veronika E Hubeny, Mukund Rangamani, and Tadashi Takayanagi · 2007
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Generalization of quantum error correction via the Heisenberg picture
Cédric Bény, Achim Kempf, and David W Kribs · 2007
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Evaporation of large black holes in AdS: coupling to the evaporon
Jorge V Rocha · 2008
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A decoupling approach to the quantum capacity
Patrick Hayden, Michał Horodecki, Andreas Winter, and Jon Yard · 2008
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Conditions for the approximate correction of algebras
Cédric Bény · 2009
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Entanglement entropy and conformal field theory
Pasquale Calabrese and John Cardy · 2009
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A fully quantum asymptotic equipartition property
Marco Tomamichel, Roger Colbeck, and Renato Renner · 2009
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General conditions for approximate quantum error correction and near-optimal recovery channels
Cédric Bény and Ognyan Oreshkov · 2010
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The decoupling approach to quantum information theory
Frédéric Dupuis · 2010
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Singularities, firewalls, and complementarity
Leonard Susskind · 2012
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The transfer of entanglement: the case for firewalls
Leonard Susskind · 2012
Cited alongside, same era.
The gravity dual of a density matrix
Bartłomiej Czech, Joanna L Karczmarek, Fernando Nogueira, and Mark Van Raamsdonk · 2012
Cited alongside, same era.
Weak decoupling duality and quantum identification
Patrick Hayden and Andreas Winter · 2012
Cited alongside, same era.
Time dependence of Hawking radiation entropy
Don N Page · 2013
Cited alongside, same era.
Black holes: complementarity or firewalls?
Ahmed Almheiri, Donald Marolf, Joseph Polchinski, and James Sully · 2013
Cited alongside, same era.
Complementarity endures: no firewall for an infalling observer
Yasunori Nomura, Jaime Varela, and Sean J Weinberg · 2013
Cited alongside, same era.
The spectrum in the Sachdev-Ye-Kitaev model
Joseph Polchinski and Vladimir Rosenhaus · 2016
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An investigation of AdS 2 backreaction and holography
Julius Engelsöy, Thomas G Mertens, and Herman Verlinde · 2016
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Chaos in AdS 2 holography
Kristan Jensen · 2016
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Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
Juan Maldacena, Douglas Stanford, and Zhenbin Yang · 2016
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Information loss
William G Unruh and Robert M Wald · 2017
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Entanglement wedge reconstruction via universal recovery channels
Jordan Cotler, Patrick Hayden, Geoffrey Penington, Grant Salton, Brian Swingle, and Michael Walter · 2017
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Complementarity is not enough
Raphael Bousso · 2013
Cited alongside, same era.
Black hole entanglement and quantum error correction
Erik Verlinde and Herman Verlinde · 2013
Cited alongside, same era.
Quantum computation vs. firewalls
Daniel Harlow and Patrick Hayden · 2013
Cited alongside, same era.
Cool horizons for entangled black holes
Juan Maldacena and Leonard Susskind · 2013
Cited alongside, same era.
An infalling observer in AdS/CFT
Kyriakos Papadodimas and Suvrat Raju · 2013
Cited alongside, same era.
An apologia for firewalls
Ahmed Almheiri, Donald Marolf, Joseph Polchinski, Douglas Stanford, and James Sully · 2013
Cited alongside, same era.
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Pure states in the SYK model and nearly- A d S 2 {AdS}_{2} gravity
Ioanna Kourkoulou and Juan Maldacena · 2017
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Approximate quantum error correction revisited: Introducing the alpha-bit
Patrick Hayden and Geoffrey Penington · 2017
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The black hole information problem: past, present, and future
Donald Marolf · 2017
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Bulk locality from modular flow
Thomas Faulkner and Aitor Lewkowycz · 2017
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Black holes and random matrices
Jordan S Cotler, Guy Gur-Ari, Masanori Hanada, Joseph Polchinski, Phil Saad, Stephen H Shenker, Douglas Stanford, Alexandre Streicher, and Masaki Tezuka · 2017
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Entropy, extremality, euclidean variations, and the equations of motion
Xi Dong and Aitor Lewkowycz · 2018
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Holographic quantum error correction and the projected black hole interior
Ahmed Almheiri · 2018
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On the interior geometry of a typical black hole microstate
Jan de Boer, Rik van Breukelen, Sagar F Lokhande, Kyriakos Papadodimas, and Erik Verlinde · 2018
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Learning the alpha-bits of black holes
Patrick Hayden and Geoffrey Penington · 2018
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Black hole microstate cosmology
Sean Cooper, Moshe Rozali, Brian Swingle, Mark Van Raamsdonk, Christopher Waddell, and David Wakeham · 2018
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Beyond toy models: Distilling tensor networks in full AdS/CFT
Ning Bao, Geoffrey Penington, Jonathan Sorce, and Aron Wall · 2018
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Moving the cft into the bulk with T T ¯ \bar{T}
Lauren McGough, Márk Mezei, and Herman Verlinde · 2018
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Cutoff ads3 versus the T T ¯ T\bar{T} deformation
Per Kraus, Junyu Liu, and Donald Marolf · 2018
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Entanglement entropy and T T ¯ T\bar{T} deformation
William Donnelly and Vasudev Shyam · 2018
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Victor Gorbenko, Eva Silverstein, and Gonzalo Torroba · 2018
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A semiclassical ramp in SYK and in gravity
Phil Saad, Stephen H Shenker, and Douglas Stanford · 2018
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The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
Ahmed Almheiri, Netta Engelhardt, Donald Marolf, and Henry Maxfield · 2019
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Chris Akers, Netta Engelhardt, Geoff Penington, and Mykhaylo Usatyuk · 2019
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Replica wormholes and the black hole interior
Geoff Penington, Stephen H Shenker, Douglas Stanford, and Zhenbin Yang · 2019
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Replica wormholes and the entropy of hawking radiation
Ahmed Almheiri, Thomas Hartman, Juan Maldacena, Edgar Shaghoulian, and Amirhossein Tajdini · 2019
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The python’s lunch: geometric obstructions to decoding hawking radiation
Adam R Brown, Hrant Gharibyan, Geoff Penington, and Leonard Susskind · 2019
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Beni Yoshida · 2019
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JT gravity as a matrix integral
Phil Saad, Stephen H Shenker, and Douglas Stanford · 2019
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Holographic tensor networks in full AdS/CFT
Ning Bao, Geoffrey Penington, Jonathan Sorce, and Aron C Wall · 2019
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Entanglement wedge reconstruction using the Petz map
Chi-Fang Chen, Geoffrey Penington, and Grant Salton · 2019
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Ahmed Almheiri, Raghu Mahajan, and Juan Maldacena · 2019
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