Holographic tensor network models and quantum error correction: a topical review
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 …
string theory, has led to a confluence with concepts and techniques from quantum …
Generalized gravitational entropy
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 …
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 …
quantum mechanical interpretations of the gravitational entropy. The discovery of anti-de …
A covariant holographic entanglement entropy proposal
With an aim towards understanding the time-dependence of entanglement entropy in
generic quantum field theories, we propose a covariant generalization of the holographic …
generic quantum field theories, we propose a covariant generalization of the holographic …
Bulk locality and quantum error correction in AdS/CFT
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 …
the theory of quantum error correction. Bulk notions such as Bogoliubov transformations …
Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
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 …
orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a …
Islands outside the horizon
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) …
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
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 …
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
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 …
spacetime, but the black hole interior poses a challenge for this framework: at late times the …
Relative entropy equals bulk relative entropy
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 …
subregion of a boundary theory. We use it to argue that the relative entropy of nearby states …