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Topological entanglement entropy, a measure of the long-ranged entanglement, is related to the degeneracy of the ground state on a higher genus surface. The exact relation depends on the details of the topological theory. We consider a…

High Energy Physics - Theory · Physics 2015-12-21 Andrei Parnachev , Napat Poovuttikul

We demonstrate that a popular class of nonparametric mutual information (MI) estimators based on k-nearest-neighbor graphs requires number of samples that scales exponentially with the true MI. Consequently, accurate estimation of MI…

Information Theory · Computer Science 2015-03-09 Shuyang Gao , Greg Ver Steeg , Aram Galstyan

We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS$_{2k+1}$. This is done through two different methods : first, by a direct evaluation of CS action in a holographic…

High Energy Physics - Theory · Physics 2017-02-08 Tatsuo Azeyanagi , R. Loganayagam , Gim Seng Ng

There is no known model in holography exhibiting a $c$-theorem where the central charges of the dual CFT are distinct. We examine a holographic model of RG flows in a framework where the bulk gravity theory contains higher curvature terms.…

High Energy Physics - Theory · Physics 2011-02-04 Robert C. Myers , Aninda Sinha

A remarkable yet mysterious property of black holes is that their entropy is proportional to the horizon area. This area law inspired the holographic principle, which was later realized concretely in gauge/gravity duality. In this context,…

High Energy Physics - Theory · Physics 2016-08-15 Xi Dong

We present a high-accuracy procedure for electronic structure calculations of strongly correlated materials. To address limitations in current electronic structure methods, we employ density functional theory in combination with the…

We study a number of (3+1)- and (2+1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are planar, and the defects are codimension-one. Using…

High Energy Physics - Theory · Physics 2015-11-09 John Estes , Kristan Jensen , Andy O'Bannon , Efstratios Tsatis , Timm Wrase

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the gravitational couplings to eliminate…

High Energy Physics - Theory · Physics 2011-02-22 Robert C. Myers , Aninda Sinha

This paper establishes a unified framework integrating geometric flows with deep learning through three fundamental innovations. First, we propose a thermodynamically coupled Ricci flow that dynamically adapts parameter space geometry to…

Machine Learning · Computer Science 2025-03-26 Ming Lei , Christophe Baehr

We compute the defect entanglement entropy for co-dimension two superconformal monodromy defects in well known maximally symmetric holographic theories of various dimension. In each case we explicitly relate the universal part of the defect…

High Energy Physics - Theory · Physics 2025-12-01 Andrea Conti , Yolanda Lozano , Filippos Rogdakis , Christopher Rosen

The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a density matrix with non zero entropy. This geometric entropy is believed to be deeply related to the entropy of black holes. Indeed,…

High Energy Physics - Theory · Physics 2014-11-18 H. Casini

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

We argue that many-partite entanglement is ubiquitous in holography and holographic quantum error correction codes. We base our claim on genuine multi-entropy, a new measure for multi-partite entanglement. We also discuss a connection…

High Energy Physics - Theory · Physics 2025-04-03 Norihiro Iizuka , Simon Lin , Mitsuhiro Nishida

We study holographic entanglement entropy in the background of charged dilatonic black holes which can be viewed as holographic duals of certain finite density states of N=4 super Yang-Mills. These charged black holes are distinguished in…

High Energy Physics - Theory · Physics 2012-10-22 Manuela Kulaxizi , Andrei Parnachev , Koenraad Schalm

The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization…

Statistical Mechanics · Physics 2017-08-30 Eyal Cornfeld , Eran Sela

We consider quantum entanglement between gauge fields in some region of space A and its complement B. It is argued that the Hilbert space of physical states of gauge theories cannot be decomposed into a direct product of Hilbert spaces of…

High Energy Physics - Theory · Physics 2010-05-12 P. V. Buividovich , M. I. Polikarpov

The bulk-edge correspondence for topological quantum liquids states that the spectrum of the reduced density matrix of a large subregion reproduces the thermal spectrum of a physical edge. This correspondence suggests an intricate…

Strongly Correlated Electrons · Physics 2012-10-03 Brian Swingle , T. Senthil

We demonstrate that the quantum mutual information (QMI) is a useful probe to study many-body localization (MBL). First, we focus on the detection of a metal--insulator transition for two different models, the noninteracting…

Strongly Correlated Electrons · Physics 2017-01-11 Giuseppe De Tomasi , Soumya Bera , Jens H. Bardarson , Frank Pollmann

Accurate pipe roughness estimation in large-scale water distribution networks is often hindered by the high cost of traditional field methods. This study investigates whether network partitioning, by utilizing hydraulic and graph-derived…

Computational Engineering, Finance, and Science · Computer Science 2026-04-28 Karol Dykiert , Mateusz Stolarski , Michał Czuba , Wojciech Cieżak , Piotr Bródka

In this letter we define a natural generalization of the von Neumann entropy to multiple parties that is symmetric with respect to all the parties. We call this measure multi-entropy. We show that for conformal field theories with…

High Energy Physics - Theory · Physics 2023-01-12 Abhijit Gadde , Vineeth Krishna , Trakshu Sharma
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