Holographic tensor network models and quantum error correction: a topical review

A Jahn, J Eisert - Quantum Science and Technology, 2021 - iopscience.iop.org
Recent progress in studies of holographic dualities, originally motivated by insights from
string theory, has led to a confluence with concepts and techniques from quantum …

Generalized gravitational entropy

A Lewkowycz, J Maldacena - Journal of High Energy Physics, 2013 - Springer
A bstract We consider classical Euclidean gravity solutions with a boundary. The boundary
contains a non-contractible circle. These solutions can be interpreted as computing the trace …

Entanglement entropy from a holographic viewpoint

T Takayanagi - Classical and Quantum Gravity, 2012 - iopscience.iop.org
The entanglement entropy has been historically studied by many authors in order to obtain
quantum mechanical interpretations of the gravitational entropy. The discovery of anti-de …

A covariant holographic entanglement entropy proposal

VE Hubeny, M Rangamani… - Journal of High Energy …, 2007 - iopscience.iop.org
With an aim towards understanding the time-dependence of entanglement entropy in
generic quantum field theories, we propose a covariant generalization of the holographic …

Bulk locality and quantum error correction in AdS/CFT

A Almheiri, X Dong, D Harlow - Journal of High Energy Physics, 2015 - Springer
A bstract We point out a connection between the emergence of bulk locality in AdS/CFT and
the theory of quantum error correction. Bulk notions such as Bogoliubov transformations …

Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime

N Engelhardt, AC Wall - Journal of High Energy Physics, 2015 - Springer
A bstract We propose that holographic entanglement entropy can be calculated at arbitrary
orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a …

Islands outside the horizon

A Almheiri, R Mahajan, J Maldacena - arxiv preprint arxiv:1910.11077, 2019 - arxiv.org
We consider an AdS $ _2 $ black hole in equilibrium with a bath, which we take to have a
dual description as (0+ 1)-dimensional quantum mechanical system coupled to a (1+ 1) …

Reconstruction of bulk operators within the entanglement wedge in gauge-gravity duality

X Dong, D Harlow, AC Wall - Physical review letters, 2016 - APS
In this Letter we prove a simple theorem in quantum information theory, which implies that
bulk operators in the anti–de Sitter/conformal field theory (AdS/CFT) correspondence can be …

The black hole interior from non-isometric codes and complexity

C Akers, N Engelhardt, D Harlow, G Penington… - Journal of High Energy …, 2024 - Springer
A bstract Quantum error correction has given us a natural language for the emergence of
spacetime, but the black hole interior poses a challenge for this framework: at late times the …

Relative entropy equals bulk relative entropy

DL Jafferis, A Lewkowycz, J Maldacena… - Journal of High Energy …, 2016 - Springer
A bstract 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 …