838 citations · 4.5k across the 45 of their papers we have counts for
41 papers · 1 filter
Entanglement of Purification in Random Tensor Networks
Chris Akers, Thomas Faulkner, Simon Lin +1
The entanglement of purification is a powerful correlation measure, but it is notoriously difficult to compute because it involves an optimization over all possibl…
The Reflected Entanglement Spectrum for Free Fermions
Souvik Dutta, Thomas Faulkner, Simon Lin
We consider the reflected entropy and the associated entanglement spectrum for free fermions reduced to two intervals in 1+1 dimensions. Working directly in the continuum theory th…
Asymptotically isometric codes for holography
Thomas Faulkner, Min Li
The holographic principle suggests that the low energy effective field theory of gravity, as used to describe perturbative quantum fields about some background has far too many sta…
TF1 Snowmass Report: Quantum gravity, string theory, and black holes
Daniel Harlow, Shamit Kachru, Juan Maldacena +35
We give an overview of the field of quantum gravity, string theory and black holes summarizing various white papers in this subject that were submitted as part of the Snowmass proc…
Reflected entropy in random tensor networks II: a topological index from the canonical purification
Chris Akers, Thomas Faulkner, Simon Lin +1
In arXiv:2112.09122, we analyzed the reflected entropy () in random tensor networks motivated by its proposed duality to the entanglement wedge cross section (EW) in holograph…
Snowmass white paper: Quantum information in quantum field theory and quantum gravity
Thomas Faulkner, Thomas Hartman, Matthew Headrick +2
We present a summary of recent progress and remaining challenges in applying the methods and ideas of quantum information theory to the study of quantum field theory and quantum gr…
Snowmass White Paper: Quantum Aspects of Black Holes and the Emergence of Spacetime
Raphael Bousso, Xi Dong, Netta Engelhardt +4
Black holes provide a window into the microscopic structure of spacetime in quantum gravity. Recently the quantum information contained in Hawking radiation has been calculated, ve…
The Page Curve for Reflected Entropy
Chris Akers, Thomas Faulkner, Simon Lin +1
We study the reflected entropy in the West Coast Model, a toy model of black hole evaporation consisting of JT gravity coupled to end-of-the-world branes. We demonstrate the…
Reflected entropy in random tensor networks
Chris Akers, Thomas Faulkner, Simon Lin +1
In holographic theories, the reflected entropy has been shown to be dual to the area of the entanglement wedge cross section. We study the same problem in random tensor networks de…
Scattering strings off quantum extremal surfaces
Venkatesa Chandrasekaran, Thomas Faulkner, Adam Levine
We consider a Hayden \& Preskill like setup for both maximally chaotic and sub-maximally chaotic quantum field theories. We act on the vacuum with an operator in a Rindler like wed…
The holographic map as a conditional expectation
Thomas Faulkner
We study the holographic map in AdS/CFT, as modeled by a quantum error correcting code with exact complementary recovery. We show that the map is determined by local conditional ex…
Entropy Variations and Light Ray Operators from Replica Defects
Srivatsan Balakrishnan, Venkatesa Chandrasekaran, Thomas Faulkner +2
We study the defect operator product expansion (OPE) of displacement operators in free and interacting conformal field theories using replica methods. We show that as approache…
A canonical purification for the entanglement wedge cross-section
Souvik Dutta, Thomas Faulkner
In AdS/CFT we consider a class of bulk geometric quantities inside the entanglement wedge called reflected minimal surfaces. The areas of these surfaces are dual to the entanglemen…
Recovering the QNEC from the ANEC
Fikret Ceyhan, Thomas Faulkner
We study relative entropy in QFT, comparing the vacuum state to a special family of purifications determined by an input state and constructed using relative modular flow. We use t…
A modular toolkit for bulk reconstruction
Thomas Faulkner, Min Li, Huajia Wang
We introduce new tools for studying modular flow in AdS/CFT. These tools allow us to efficiently extract bulk information related to causality and locality. For example, we discuss…
Probing beyond ETH at large
Thomas Faulkner, Huajia Wang
We study probe corrections to the Eigenstate Thermalization Hypothesis (ETH) in the context of 2D CFTs with large central charge and a sparse spectrum of low dimension operators. I…
A General Proof of the Quantum Null Energy Condition
Srivatsan Balakrishnan, Thomas Faulkner, Zuhair U. Khandker +1
We prove a conjectured lower bound on in any state of a relativistic QFT dubbed the Quantum Null Energy Condition (QNEC). The bound is given by the…
Nonlinear Gravity from Entanglement in Conformal Field Theories
Thomas Faulkner, Felix M. Haehl, Eliot Hijano +3
In this paper, we demonstrate the emergence of nonlinear gravitational equations directly from the physics of a broad class of conformal field theories. We consider CFT excited sta…
Bulk locality from modular flow
Thomas Faulkner, Aitor Lewkowycz
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 , the d…
Gravitational dual of the Rényi twist displacement operator
Srivatsan Balakrishnan, Souvik Dutta, Thomas Faulkner
We give a recipe for computing correlation functions of the displacement operator localized on a spherical or planar higher dimensional twist defect using AdS/CFT. Such twist opera…
Modular Hamiltonians for Deformed Half-Spaces and the Averaged Null Energy Condition
Thomas Faulkner, Robert G. Leigh, Onkar Parrikar +1
We study modular Hamiltonians corresponding to the vacuum state for deformed half-spaces in relativistic quantum field theories on . We show that in addition to…
Quantum Corrections to Holographic Mutual Information
Cesar Agón, Thomas Faulkner
We compute the leading contribution to the mutual information (MI) of two disjoint spheres in the large distance regime for arbitrary conformal field theories (CFT) in any dimensio…
Shape Dependence of Entanglement Entropy in Conformal Field Theories
Thomas Faulkner, Robert G. Leigh, Onkar Parrikar
We study universal features in the shape dependence of entanglement entropy in the vacuum state of a conformal field theory (CFT) on . We consider the entanglem…
Bulk Emergence and the RG Flow of Entanglement Entropy
Thomas Faulkner
We further develop perturbative methods used to calculate entanglement entropy (EE) away from an interacting CFT fixed point. At second order we find certain universal terms in the…