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Entanglement entropy in even dimensional conformal field theories (CFTs) contains well-known universal terms arising from the conformal anomaly. Renyi entropies are natural generalizations of the entanglement entropy that are much less…

High Energy Physics - Theory · Physics 2014-06-25 Jeongseog Lee , Lauren McGough , Benjamin R. Safdi

In this work, we compute the entanglement entropy in continuous icMERA tensor networks for large $N$ models at strong coupling. Our results show that the $1/N$ quantum corrections to the Fisher information metric (interpreted as a local…

High Energy Physics - Theory · Physics 2022-04-07 Jose J. Fernandez-Melgarejo , Javier Molina-Vilaplana

We propose a holographic model for local quench in 1+1 dimensional Conformal Field Theory (CFT). The local quench is produced by joining two identical CFT's on semi-infinite lines. When these theories have a zero boundary entropy, we use…

High Energy Physics - Theory · Physics 2015-05-28 Amin Faraji Astaneh , Amir Esmaeil Mosaffa

We compute the contribution of the vacuum Virasoro representation to the genus-two partition function of an arbitrary CFT with central charge $c>1$. This is the perturbative pure gravity partition function in three dimensions. We employ a…

High Energy Physics - Theory · Physics 2015-11-19 Matthew Headrick , Alexander Maloney , Eric Perlmutter , Ida G. Zadeh

We analytically compute the Renyi entropies for the RSOS models, representing a wide class of exactly solvable models with multicritical conformal points described by unitary minimal models and $\mathbb{Z}_n$ parafermions. The exact…

Statistical Mechanics · Physics 2013-02-06 Andrea De Luca , Fabio Franchini

Central to the AdS/CFT correspondence is a precise relationship between the curvature of an anti-de Sitter (AdS) spacetime and the central charge of the dual conformal field theory (CFT) on its boundary. Our work shows that such a…

High Energy Physics - Theory · Physics 2020-12-07 Alexander Jahn , Zoltán Zimborás , Jens Eisert

A metric is proposed to explore the noncommutative form of the Anti-de Sitter space due to quantum effects. It has been proved that the non commutativity in AdS space induces a single component gravitoelectric field. The holographic…

High Energy Physics - Theory · Physics 2018-10-09 Davood Momeni , Muhammad Raza , Ratbay Myrzakulov

We introduce a quantity, called pseudo entropy, as a generalization of entanglement entropy via post-selection. In the AdS/CFT correspondence, this quantity is dual to areas of minimal area surfaces in time-dependent Euclidean spaces which…

High Energy Physics - Theory · Physics 2021-01-27 Yoshifumi Nakata , Tadashi Takayanagi , Yusuke Taki , Kotaro Tamaoka , Zixia Wei

Bit threads, a dual description of the Ryu-Takyanagi formula for holographic entanglement entropy (EE), can be interpreted as a distillation of the quantum information to a collection of Bell pairs between different boundary regions. In…

High Energy Physics - Theory · Physics 2022-10-19 Jonathan Harper

Localized bulk excitations in AdS/CFT are produced by operators which modify the pattern of entanglement in the boundary state. We show that simple models--consisting of entanglement swapping operators acting on a qubit system or a free…

High Energy Physics - Theory · Physics 2017-04-05 William R. Kelly

The Matrix-based Renyi's entropy enables us to directly measure information quantities from given data without the costly probability density estimation of underlying distributions, thus has been widely adopted in numerous statistical…

Machine Learning · Statistics 2022-05-17 Yuxin Dong , Tieliang Gong , Shujian Yu , Chen Li

Motivated by the pseudo-entropy program, we study timelike subregion complexity within the holographic Complexity-equal-Volume framework, extending previous spatial constructions to Lorentzian boundary intervals. For hyperbolic timelike…

High Energy Physics - Theory · Physics 2026-02-06 Mohsen Alishahiha

In quantum mechanics, stringnet condensed states - a family of prototypical states exhibiting non-trivial topological order - can be classified via their long-range entanglement properties, in particular topological corrections to the…

Statistical Mechanics · Physics 2014-05-12 M. Hermanns , S. Trebst

It is natural to analyse the AdS$_{d+1}$-CQFT$_{d}$ correspondence in the context of the conformal- compactification and covering formalism. In this way one obtains additional inside about Rehren's rigorous algebraic holography in…

High Energy Physics - Theory · Physics 2009-10-31 Bert Schroer

Supersymmetric Renyi entropies are defined for three-dimensional N=2 superconformal field theories on a branched covering of a three-sphere by using the localized partition functions. Under a conformal transformation, the branched covering…

High Energy Physics - Theory · Physics 2015-06-18 Tatsuma Nishioka

We give a pedagogical review of how concepts from quantum information theory build up the gravitational side of the AdS/CFT correspondence. The review is self-contained in that it only presupposes knowledge of quantum mechanics and general…

High Energy Physics - Theory · Physics 2022-07-20 Bowen Chen , Bartlomiej Czech , Zi-zhi Wang

In this paper, we extend our study of the holographic R\'enyi entropy of single interval on a torus to the CFT with W symmetry. To read the possible corrections from W fields clearly, we compute the thermal correction to the R\'enyi entropy…

High Energy Physics - Theory · Physics 2015-09-09 Bin Chen , Jie-qiang Wu , Ze-chuan Zheng

At a quantum critical point, bipartite entanglement entropies have universal quantities which are subleading to the ubiquitous area law. For Renyi entropies, these terms are known to be similar to the von Neumann entropy, while being much…

We study the AdS/CFT correspondence with a brane extending in AdS, a setup which is dual to CFT in the presence of a defect. We focus on the correlation function of two local operators and the defect, which is the simplest observable with…

High Energy Physics - Theory · Physics 2023-06-22 Aleix Gimenez-Grau

We generalize the Pastawski-Yoshida-Harlow-Preskill (HaPPY) holographic quantum error-correcting code to provide a toy model for bulk gauge fields or linearized gravitons. The key new elements are the introduction of degrees of freedom on…

High Energy Physics - Theory · Physics 2017-05-24 William Donnelly , Ben Michel , Donald Marolf , Jason Wien