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Quantum corrections to holographic entanglement entropy require knowledge of the bulk quantum state. In this paper, we derive a novel dual prescription for the generalized entropy that allows us to interpret the leading quantum corrections…

High Energy Physics - Theory · Physics 2022-02-25 Cesar A. Agón , Juan F. Pedraza

We generalize holographic bit threads to bulk theories with a gravitational action containing higher-curvature terms. Bit threads are a reformulation of holographic entanglement entropy, where the entropy is given by the maximum number of…

High Energy Physics - Theory · Physics 2018-12-04 Jonathan Harper , Matthew Headrick , Andrew Rolph

We investigate the reconstruction of asymptotically anti-de Sitter (AdS) bulk geometries from boundary entanglement entropy data for ball-shaped entangling regions. By deriving an explicit inversion formula, we relate variations in…

High Energy Physics - Theory · Physics 2025-12-22 Niko Jokela , Tony Liimatainen , Miika Sarkkinen , Leo Tzou

We introduce a new algebraic framework for understanding nonperturbative gravitational aspects of bulk reconstruction with a finite or infinite-dimensional boundary Hilbert space. We use relative entropy equivalence between bulk and…

High Energy Physics - Theory · Physics 2023-08-29 Elliott Gesteau , Monica Jinwoo Kang

We revisit the recent reformulation of the holographic prescription to compute entanglement entropy in terms of a convex optimization problem, introduced by Freedman and Headrick. According to it, the holographic entanglement entropy…

High Energy Physics - Theory · Physics 2019-05-16 Cesar A. Agón , Jan de Boer , Juan F. Pedraza

In this work, we attempt to construct bit thread configurations for various backgrounds using expressions from the covariant phase space formalism. We find that when the Ryu-Takayanagi surface is same as the horizon, such expressions are…

High Energy Physics - Theory · Physics 2026-01-15 Pratik K. Das , Manavendra Mahato

Based on the AdS/CFT correspondence, we study how to reconstruct bulk spacetime metrics by various quantum information measures on the boundary field theories, which include entanglement entropy, mutual information, entanglement of…

High Energy Physics - Theory · Physics 2023-07-17 Wen-Bin Xu , Shao-Feng Wu

We investigate the problem of bulk metric reconstruction in holography by leveraging the inverse scattering framework applied to boundary two-point correlation functions. We generalize our previous work of scalar field and show that…

High Energy Physics - Theory · Physics 2025-11-25 Bo-Wen Fan , Run-Qiu Yang

We give a scheme to geometrize the partial entanglement entropy (PEE) for holographic CFT in the context of AdS/CFT. More explicitly, given a point $\textbf{x}$ we geometrize the two-point PEEs between $\textbf{x}$ and any other points in…

High Energy Physics - Theory · Physics 2024-03-11 Jiong Lin , Yizhou Lu , Qiang Wen

Most of the literature in the \emph{bulk reconstruction program} in holography focuses on recovering local bulk operators propagating on a quasilocal bulk geometry and the knowledge of the bulk geometry is always assumed or guessed. The…

High Energy Physics - Theory · Physics 2018-10-01 Shubho R. Roy , Debajyoti Sarkar

We reformulate entanglement wedge reconstruction in the language of operator-algebra quantum error correction with infinite-dimensional physical and code Hilbert spaces. Von Neumann algebras are used to characterize observables in a…

High Energy Physics - Theory · Physics 2023-02-09 Monica Jinwoo Kang , David K. Kolchmeyer

Using the tensor Radon transform and related numerical methods, we study how bulk geometries can be explicitly reconstructed from boundary entanglement entropies in the specific case of $\mathrm{AdS}_3/\mathrm{CFT}_2$. We find that, given…

High Energy Physics - Theory · Physics 2020-12-30 ChunJun Cao , Xiao-Liang Qi , Brian Swingle , Eugene Tang

We initiate a study of subregion dualities, entropy, and redundant encoding of bulk points in holographic theories deformed by $T \bar T$ and its generalizations. This includes both cut off versions of Anti de Sitter spacetime, as well as…

High Energy Physics - Theory · Physics 2026-01-27 Aitor Lewkowycz , Junyu Liu , Eva Silverstein , Gonzalo Torroba

We study the portion of an asymptotically Anti de Sitter geometry's bulk where the metric can be reconstructed, given the areas of minimal 2-surfaces anchored to a fixed boundary subregion. We exhibit situations in which this region can…

High Energy Physics - Theory · Physics 2020-04-10 Ning Bao , Aidan Chatwin-Davies , Benjamin E. Niehoff , Mykhaylo Usatyuk

In this work we use cMERA, a continuous tensor network, to find a Gaussian approximation to the ground state of a $T\bar{T}$-deformed scalar CFT on the line, to first order in the deformation parameter. The result is used to find the…

High Energy Physics - Theory · Physics 2022-07-18 Biel Cardona , Javier Molina-Vilaplana

We examine how to construct a spatial manifold and its geometry from the entanglement structure of an abstract quantum state in Hilbert space. Given a decomposition of Hilbert space $\mathcal{H}$ into a tensor product of factors, we…

High Energy Physics - Theory · Physics 2017-02-01 ChunJun Cao , Sean M. Carroll , Spyridon Michalakis

We apply and extend the theory of universal recovery channels from quantum information theory to address the problem of entanglement wedge reconstruction in AdS/CFT. It has recently been proposed that any low-energy local bulk operators in…

High Energy Physics - Theory · Physics 2019-07-31 Jordan Cotler , Patrick Hayden , Geoffrey Penington , Grant Salton , Brian Swingle , Michael Walter

We derive several new quantum bit thread prescriptions for holographic entanglement entropy, equivalent for static states to the quantum extremal surface formula. Our new prescriptions come in many varieties: vector field-based or based on…

High Energy Physics - Theory · Physics 2026-04-16 Matthew Headrick , Sreeman Reddy Kasireddy , Andrew Rolph

We present an inverse problem which uses the renormalized area functional on minimal submanifolds to recover the expansion of asymptotically hyperbolic, conformally compact metrics which are partially even to high order. We use a rigidity…

Differential Geometry · Mathematics 2024-01-17 Jared Marx-Kuo

We consider the inverse problem for countable, locally finite electrical networks with edge weights in an arbitrary field. The electrical inverse problem seeks to determine the weights of the edges knowing only the potential and current…

Combinatorics · Mathematics 2016-05-31 David Jekel
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