Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
A bstract We propose a family of exactly solvable toy models for the AdS/CFT
correspondence based on a novel construction of quantum error-correcting codes with a …
correspondence based on a novel construction of quantum error-correcting codes with a …
Chaos in Holography
K Jensen - Physical review letters, 2016 - APS
We revisit two-dimensional holography with the Sachdev-Ye-Kitaev models in mind. Our
main result is to rewrite a generic theory of gravity near a two-dimensional anti-de Sitter …
main result is to rewrite a generic theory of gravity near a two-dimensional anti-de Sitter …
The Ryu–Takayanagi formula from quantum error correction
D Harlow - Communications in Mathematical Physics, 2017 - Springer
I argue that a version of the quantum-corrected Ryu–Takayanagi formula holds in any
quantum error-correcting code. I present this result as a series of theorems of increasing …
quantum error-correcting code. I present this result as a series of theorems of increasing …
TASI Lectures on the Emergence of the Bulk in AdS/CFT
D Harlow - arxiv preprint arxiv:1802.01040, 2018 - arxiv.org
These lectures review recent developments in our understanding of the emergence of local
bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field …
bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field …
Bulk locality from modular flow
A bstract We study the reconstruction of bulk operators in the entanglement wedge in terms
of low energy operators localized in the respective boundary region. To leading order in N …
of low energy operators localized in the respective boundary region. To leading order in N …
Snowmass white paper: quantum aspects of black holes and the emergence of spacetime
Black holes provide a window into the microscopic structure of spacetime in quantum
gravity. Recently the quantum information contained in Hawking radiation has been …
gravity. Recently the quantum information contained in Hawking radiation has been …
Entanglement, holography and causal diamonds
A bstract We argue that the degrees of freedom in a d-dimensional CFT can be reorganized
in an insightful way by studying observables on the moduli space of causal diamonds (or …
in an insightful way by studying observables on the moduli space of causal diamonds (or …
Entanglement phase transitions in random stabilizer tensor networks
We explore a class of random tensor network models with “stabilizer” local tensors which we
name random stabilizer tensor networks (RSTNs). For RSTNs defined on a two-dimensional …
name random stabilizer tensor networks (RSTNs). For RSTNs defined on a two-dimensional …
Approximate quantum error correcting codes from conformal field theory
The low-energy subspace of a conformal field theory (CFT) can serve as a quantum error
correcting code, with important consequences in holography and quantum gravity. We …
correcting code, with important consequences in holography and quantum gravity. We …
From Euclidean sources to Lorentzian spacetimes in holographic conformal field theories
A bstract We consider states of holographic conformal field theories constructed by adding
sources for local operators in the Euclidean path integral, with the aim of investigating the …
sources for local operators in the Euclidean path integral, with the aim of investigating the …