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We present a general procedure for constructing new Hilbert spaces for loop quantum gravity on non-compact spatial manifolds. Given any fixed background state representing a non-compact spatial geometry, we use the Gel'fand-Naimark-Segal…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Matthias Arnsdorf , Sameer Gupta

In the long-standing quest to reconcile gravity with quantum mechanics, profound connections have been unveiled between concepts traditionally pertaining to quantum information theory, such as entanglement, and constitutive features of…

High Energy Physics - Theory · Physics 2022-06-28 Eugenia Colafranceschi , Gerardo Adesso

Holographic quantum error-correcting code, the quantum-information structure hypothesized for the AdS/CFT correspondence, has being attracting increasing attention in new directions interrelating the studies of quantum gravity and quantum…

Quantum Physics · Physics 2024-07-16 Wei Wang

Entanglement entropy is a valuable tool for characterizing the correlation structure of quantum field theories. When applied to gauge theories, subtleties arise which prevent the factorization of the Hilbert space underlying the notion of…

High Energy Physics - Theory · Physics 2017-05-18 Clement Delcamp , Bianca Dittrich , Aldo Riello

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

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 generality, with the final statement expressed in the language of…

High Energy Physics - Theory · Physics 2017-08-02 Daniel Harlow

Recent work has shown how to obtain the Page curve of an evaporating black hole from holographic computations of entanglement entropy. We show how these computations can be justified using the replica trick, from geometries with a spacetime…

High Energy Physics - Theory · Physics 2020-04-16 Geoff Penington , Stephen H. Shenker , Douglas Stanford , Zhenbin Yang

Motivated by properties of tensor networks, we conjecture that an arbitrary gravitating region $a$ can be assigned a generalized entanglement wedge $E\supset a$, such that quasi-local operators in $E$ have a holographic representation in…

High Energy Physics - Theory · Physics 2023-08-01 Raphael Bousso , Geoff Penington

We show that bulk operators lying between the outermost extremal surface and the asymptotic boundary admit a simple boundary reconstruction in the classical limit. This is the converse of the Python's lunch conjecture, which proposes that…

High Energy Physics - Theory · Physics 2021-12-08 Netta Engelhardt , Geoff Penington , Arvin Shahbazi-Moghaddam

Bilocal holography provides a constructive approach to the higher-spin gravity theories dual to vector-model conformal field theories. Its central advantage is that it is completely gauge fixed and formulated entirely in terms of physical…

High Energy Physics - Theory · Physics 2026-05-01 Robert de Mello Koch , Animik Ghosh , Minkyoo Kim , Anik Rudra

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 tensor network structure. Our building block is a special type of tensor with maximal…

High Energy Physics - Theory · Physics 2015-07-23 Fernando Pastawski , Beni Yoshida , Daniel Harlow , John Preskill

Perturbative bulk reconstruction in AdS/CFT starts by representing a free bulk field $\phi^{(0)}$ as a smeared operator in the CFT. A series of $1/N$ corrections must be added to $\phi^{(0)}$ to represent an interacting bulk field $\phi$.…

High Energy Physics - Theory · Physics 2018-04-18 Daniel Kabat , Gilad Lifschytz

Quantum entanglement marks a definitive feature of topological states. However, the entanglement spectrum remains insufficiently explored for topological states without a bulk energy gap. Using a combination of field theory and numerical…

Strongly Correlated Electrons · Physics 2024-07-16 Xue-Jia Yu , Sheng Yang , Hai-Qing Lin , Shao-Kai Jian

We investigate the bulk reconstruction of AdS black hole spacetime emergent from quantum entanglement within a machine learning framework. Utilizing neural ordinary differential equations alongside Monte-Carlo integration, we develop a…

High Energy Physics - Theory · Physics 2025-01-09 Byoungjoon Ahn , Hyun-Sik Jeong , Keun-Young Kim , Kwan Yun

We develop a statistically robust framework for reconstructing metal--semiconductor contact regions using topological gradients. The inverse problem is formulated as the identification of an unknown contact region from boundary measurements…

Numerical Analysis · Mathematics 2026-03-05 Lekbir Afraites , Aissam Hadri , Mourad Hrizi , Julius Fergy Tiongson Rabago

In this paper, we study the holographic quantum error correcting code properties in different boundary fractal-like structures. We construct and explore different examples of the uberholographic bulk reconstruction corresponding to these…

High Energy Physics - Theory · Physics 2023-08-02 Dmitry S. Ageev

In the AdS/CFT correspondence, bulk causal structure has consequences for boundary entanglement. In quantum information science, causal structures can be replaced by distributed entanglement for the purposes of information processing. In…

High Energy Physics - Theory · Physics 2022-12-01 Alex May , Jonathan Sorce , Beni Yoshida

The past decade has seen a tremendous effort toward unraveling the relationship between entanglement and emergent spacetime. These investigations have revealed that entanglement between holographic degrees of freedom is crucial for the…

High Energy Physics - Theory · Physics 2018-05-23 Yasunori Nomura , Pratik Rath , Nico Salzetta

We propose a generalized protocol for constructing a dual free bulk theory from any boundary model of generalized free fields (GFFs). To construct the bulk operators, we employ a linear ansatz similar to the Hamilton-Kabat-Liftschytz and…

High Energy Physics - Theory · Physics 2024-10-08 Tamra Nebabu , Xiao-Liang Qi

Quantum many-body systems have a rich structure in the presence of boundaries. We study the groundstates of conformal field theories (CFTs) and Lifshitz field theories in the presence of a boundary through the lens of the entanglement…

Strongly Correlated Electrons · Physics 2022-09-07 Clément Berthiere , William Witczak-Krempa
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