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Bit threads provide an alternative description of holographic entanglement, replacing the Ryu-Takayanagi minimal surface with bulk curves connecting pairs of boundary points. We use bit threads to prove the monogamy of mutual information…

High Energy Physics - Theory · Physics 2019-11-27 Shawn X. Cui , Patrick Hayden , Temple He , Matthew Headrick , Bogdan Stoica , Michael Walter

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 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

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

When a quantum system is divided into subsystems, their entanglement entropies are subject to an inequality known as "strong subadditivity". For a field theory this inequality can be stated as follows: given any two regions of space $A$ and…

High Energy Physics - Theory · Physics 2008-11-26 Matthew Headrick , Tadashi Takayanagi

We develop a framework for the derivation of new information theoretic quantities which are natural from a holographic perspective. We demonstrate the utility of our techniques by deriving the tripartite information (the quantity associated…

High Energy Physics - Theory · Physics 2018-12-05 Veronika E. Hubeny , Mukund Rangamani , Massimiliano Rota

We consider a composite system where AdS$_3$ gravity is coupled to a flat heat bath and investigate the mutual information between two subregions on the intersection of the AdS$_3$ and bath, referred to as the boundary mutual information…

High Energy Physics - Theory · Physics 2026-02-16 Yuxuan Liu , Yi Ling , Zhuo-Yu Xian

The Ryu-Takayanagi (RT) formula relates the entanglement entropy of a region in a holographic theory to the area of a corresponding bulk minimal surface. Using the max flow-min cut principle, a theorem from network theory, we rewrite the RT…

High Energy Physics - Theory · Physics 2018-08-23 Michael Freedman , Matthew Headrick

We continue the study of the quantum marginal independence problem, namely the question of which faces of the subadditivity cone are achievable by quantum states. We introduce a new representation of the patterns of marginal independence…

High Energy Physics - Theory · Physics 2025-09-17 Veronika E. Hubeny , Massimiliano Rota

Recent work has characterized the various inequalities that entanglement entropies represented by min-cuts on hypergraphs will satisfy. This collection, the hypergraph entropy cone, can be seen as a generalization of the holographic entropy…

High Energy Physics - Theory · Physics 2020-12-16 Ning Bao , Jonathan Harper

We study in detail the relationship between strong subadditivity for a boundary field theory and energy conditions for its bulk dual in 2+1 dimensions. We provide a discussion of known facts and new results organized from the simplest case…

High Energy Physics - Theory · Physics 2016-05-18 Andrea Prudenziati

We use holographic methods to characterize the RG flow of quantum information in a Chern-Simons theory coupled to massive fermions. First, we use entanglement entropy and mutual information between strips to derive the dimension of the…

High Energy Physics - Theory · Physics 2019-02-20 Vijay Balasubramanian , Niko Jokela , Arttu Pönni , Alfonso V. Ramallo

Recently, an effective {\it membrane theory} was proposed that describes the ``hydrodynamic'' regime of the entanglement dynamics for general chaotic systems. Motivated by the new {\it bit threads} formulation of holographic entanglement…

High Energy Physics - Theory · Physics 2021-11-29 Cesar A. Agón , Márk Mezei

In holography, the boundary entanglement structure is believed to be encoded in the bulk geometry. In this work, we investigate the precise correspondence between the boundary real-space entanglement and the bulk geometry. By the boundary…

High Energy Physics - Theory · Physics 2025-09-19 Xuanting Ji , Xin-Xiang Ju , Ya-Wen Sun , Yuan-Tai Wang , He-Lin Zhou

The holographic entropy cone characterizes the relations between entanglement entropies for a spatial partitioning of the boundary spacetime of a holographic CFT in any state describing a classical bulk geometry. We argue that the…

High Energy Physics - Theory · Physics 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Massimiliano Rota

Recently, a holographic computation of the entanglement entropy in conformal field theories has been proposed via the AdS/CFT correspondence. One of the most important properties of the entanglement entropy is known as the strong…

High Energy Physics - Theory · Physics 2010-02-03 Tomoyoshi Hirata , Tadashi Takayanagi

Generalizing the bit thread formalism, we use convex duality to derive dual flow programs to the bipartite and multipartite holographic entanglement of purification proposals and then prove several inequalities using these constructions. In…

High Energy Physics - Theory · Physics 2019-08-23 Jonathan Harper , Matthew Headrick

Nonlocal interactions are known to generate volume-law entanglement entropy. However, their deeper impact on the fine structure of quantum correlations remains a key open question. In this work, we explore a bosonic nonlocal field theory,…

Quantum Physics · Physics 2025-11-25 Reza Pirmoradian , M. Hossein Bek-Khoshnevis , Sadaf Ebadi , M. Reza Tanhayi

We numerically evaluate, for slab entangling geometries, the mutual information and the holographic entanglement entropy between strongly interacting fields in different spatial regions for two different conformal holographic models at…

High Energy Physics - Theory · Physics 2025-09-18 Gustavo de Oliveira , Ronaldo F. Costa , Lucas C. Celeri , Romulo Rougemont

An entanglement Renyi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Renyi entropy is computed in 4D conformal N=4…

High Energy Physics - Theory · Physics 2015-06-03 Dmitri V. Fursaev
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