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2019

Large Breakdowns of Entanglement Wedge Reconstruction

Akers, Chris, Leichenauer, Stefan, Levine, Adam

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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.

Large Breakdowns of Entanglement Wedge Reconstruction · Around

Built on

G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” arXiv:1905.08255 [hep-th]
Original
1905
Earlier work this paper cites.
A. Almheiri, N. Engelhardt, D. Marolf, and H. Maxfield, “The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole,” arXiv:1905.08762 [hep-th]
Original
1905
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Aspects of Holographic Entanglement Entropy,” JHEP
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett
2006
Earlier work this paper cites.

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Then

X. Dong, D. Harlow, and A. C. Wall, “Reconstruction of Bulk Operators Within the Entanglement Wedge in Gauge-Gravity Duality,” Phys. Rev. Lett
Original
2016
Later among the works it cites.
D. L. Jafferis, A. Lewkowycz, J. Maldacena, and S. J. Suh, “Relative entropy equals bulk relative entropy,” JHEP
Original
2016
Later among the works it cites.
C. Akers and P. Rath, “Holographic Renyi Entropy from Quantum Error Correction,” JHEP
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2019
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