Fetching the paper…
Reading the bibliography…
We show that bulk operators lying between the outermost extremal surface and the asymptotic boundary admit a simple boundary reconstruction in the classical limit.
E. Holmgren, über systeme von linearen partiellen differentialgleichungen
1901
Earlier work this paper cites.
1901
Earlier work this paper cites.
N. Engelhardt and S. Fischetti, Surface Theory: the Classical, the Quantum, and the Holographic
1904
Earlier work this paper cites.
1905
Earlier work this paper cites.
G. Penington, Entanglement Wedge Reconstruction and the Information Paradox
1905
Earlier work this paper cites.
S. Dutta and T. Faulkner, A canonical purification for the entanglement wedge cross-section
1905
Earlier work this paper cites.
1906
Earlier work this paper cites.
1908
Earlier work this paper cites.
A. Almheiri, R. Mahajan, and J. Maldacena, Islands outside the horizon
1910
Earlier work this paper cites.
1911
Earlier work this paper cites.
G. Penington, S. H. Shenker, D. Stanford, and Z. Yang, Replica wormholes and the black hole interior
1911
Earlier work this paper cites.
1912
Earlier work this paper cites.
H. Rademacher, Über partielle und totale differenzierbarkeit von funktionen mehrerer variabeln und über die transformation der doppelintegrale
1919
Earlier work this paper cites.
S. W. Hawking, Gravitational radiation from colliding black holes
1971
Earlier work this paper cites.
Cambridge University Press, Cambridge, England, 1973
S. W. Hawking and G. F. R. Ellis, The large scale stucture of space-time · 1973
Earlier work this paper cites.
C. Teitelboim, Gravitation and Hamiltonian Structure in Two Space-Time Dimensions
1983
Earlier work this paper cites.
The University of Chicago Press, Chicago, 1984
R. M. Wald, General Relativity · 1984
Earlier work this paper cites.
R. Jackiw, Lower Dimensional Gravity
1985
Earlier work this paper cites.
D. N. Page, Information in black hole radiation
1993
Earlier work this paper cites.
L. Andersson, G. J. Galloway, and R. Howard, A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to lorentzian and riemannian geometry
1998
Cited alongside, same era.
G. J. Galloway, Maximum principles for null hypersurfaces and null splitting theorems
2000
Cited alongside, same era.
Classics in Mathematics. U.S. Government Printing Office, 2001
D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order · 2001
Cited alongside, same era.
R. Penrose, Gravitational collapse: The role of general relativity
2002
Cited alongside, same era.
D. Tataru, Unique continuation problems for partial differential equations:; between hörmander’s theorem and holmgren’s theorem
2004
Cited alongside, same era.
D. Harlow and P. Hayden, Quantum Computation vs. Firewalls
2013
Later among the works it cites.
2013
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2004
Cited alongside, same era.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Local bulk operators in AdS/CFT: A Boundary view of horizons and locality
2006
Cited alongside, same era.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Holographic representation of local bulk operators
2006
Cited alongside, same era.
P. Hayden and J. Preskill, Black holes as mirrors: quantum information in random subsystems
2007
Cited alongside, same era.
A. Hamilton, D. N. Kabat, G. Lifschytz, and D. A. Lowe, Local bulk operators in AdS/CFT: A Holographic description of the black hole interior
2007
Cited alongside, same era.
2007
Cited alongside, same era.
A. Levine, A. Shahbazi-Moghaddam, and R. M. Soni, Seeing the Entanglement Wedge
2009
Cited alongside, same era.
2014
Later among the works it cites.
2015
Later among the works it cites.
D. Sarkar and X. Xiao, Holographic Representation of Higher Spin Gauge Fields
2015
Later among the works it cites.
R. Bousso and N. Engelhardt, Proof of a New Area Law in General Relativity
2015
Later among the works it cites.
A. Almheiri, X. Dong, and D. Harlow, Bulk Locality and Quantum Error Correction in AdS/CFT
2015
Later among the works it cites.
R. Bousso, Z. Fisher, S. Leichenauer, and A. C. Wall, Quantum focusing conjecture
2016
Later among the works it cites.
N. Engelhardt and S. Fischetti, The Gravity Dual of Boundary Causality
2016
Later among the works it cites.
2016
Later among the works it cites.
2016
Later among the works it cites.
N. Engelhardt and A. C. Wall, No Simple Dual to the Causal Holographic Information?
2017
Later among the works it cites.
T. Faulkner and A. Lewkowycz, Bulk locality from modular flow
2017
Later among the works it cites.
2017
Later among the works it cites.
N. Engelhardt and A. C. Wall, Decoding the Apparent Horizon: Coarse-Grained Holographic Entropy
2018
Later among the works it cites.
N. Engelhardt and A. C. Wall, Coarse Graining Holographic Black Holes
2019
Later among the works it cites.