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Similar

F. Pastawski, B. Yoshida, D. Harlow, and J. Preskill, “Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence,” JHEP
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2015
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N. Engelhardt and A. C. Wall, “Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime,” JHEP
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2015
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W. Donnelly and A. C. Wall, “Entanglement entropy of electromagnetic edge modes,” Phys. Rev. Lett
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2015
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2015
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M. Miyaji and T. Takayanagi, “Surface/State Correspondence as a Generalized Holography,” PTEP

Then

A. Almheiri, X. Dong, and B. Swingle, “Linearity of Holographic Entanglement Entropy,” JHEP
Original
2017
Later among the works it cites.
T. Faulkner and A. Lewkowycz, “Bulk locality from modular flow,” JHEP
Original
2017
Later among the works it cites.
W. Donnelly, B. Michel, D. Marolf, and J. Wien, “Living on the Edge: A Toy Model for Holographic Reconstruction of Algebras with Centers,” JHEP
Original
2017
Later among the works it cites.
X.-L. Qi, Z. Yang, and Y.-Z. You, “Holographic coherent states from random tensor networks,” JHEP
Original
2017
Later among the works it cites.
M. Han and S. Huang, “Discrete gravity on random tensor network and holographic Rényi entropy,” JHEP

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2018

Holographic Renyi Entropy from Quantum Error Correction

Akers, Chris, Rath, Pratik

Understand

We study Renyi entropies $S_n$ in quantum error correcting codes and compare the answer to the cosmic brane prescription for computing $\widetilde{S}_n \equiv n^2 \partial_n (\frac{n-1}{n} S_n)$.

We find that general operator algebra codes have a similar, more general prescription.
Notably, for the AdS/CFT code to match the specific cosmic brane prescription, the code must have maximal entanglement within eigenspaces of the area operator.
This gives us an improved definition of the area operator, and establishes a stronger connection between the Ryu-Takayanagi area term and the edge modes in lattice gauge theory.