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We investigate the extension of a holographic construction for the entanglement negativity of two disjoint subsystems in proximity to $CFT_d$s with a conserved charge dual to bulk $AdS_{d+1}$ geometries. The construction involves a specific…

High Energy Physics - Theory · Physics 2022-07-08 Mir Afrasiar , Jaydeep Kumar Basak , Vinayak Raj , Gautam Sengupta

We investigate the holographic description of a superconductor constructed in the (2+1)-dimensional AdS soliton background in the probe limit. We study the holographic properties through both analytical and numerical methods. With…

High Energy Physics - Theory · Physics 2016-06-01 Yan Peng

In network science, researchers often use mutual information to understand the difference between network partitions produced by community detection methods. Here we extend the use of mutual information to covers, that is, the cases where a…

Mathematical Physics · Physics 2012-02-03 Alcides Viamontes Esquivel , Martin Rosvall

We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections. A few examples where this problem is relevant are compressed sensing, sparse superposition codes, and code division multiple access.…

Information Theory · Computer Science 2020-08-31 Jean Barbier , Nicolas Macris , Mohamad Dia , Florent Krzakala

Sliced mutual information (SMI) is defined as an average of mutual information (MI) terms between one-dimensional random projections of the random variables. It serves as a surrogate measure of dependence to classic MI that preserves many…

Information Theory · Computer Science 2022-10-18 Ziv Goldfeld , Kristjan Greenewald , Theshani Nuradha , Galen Reeves

A holographic microscope captures interference patterns, or holograms, that encode three-dimensional (3D) information about the object being viewed. Computation is essential to extracting that 3D information. By wrapping low-level…

Image and Video Processing · Electrical Eng. & Systems 2018-06-04 Solomon Barkley , Thomas G. Dimiduk , Jerome Fung , David M. Kaz , Vinothan N. Manoharan , Ryan McGorty , Rebecca W. Perry , Anna Wang

We suggest that the principle of holographic duality can be extended beyond conformal invariance and AdS isometry. Such an extension is based on a special relation between functional determinants of the operators acting in the bulk and on…

High Energy Physics - Theory · Physics 2015-06-23 A. O. Barvinsky

We study the holographic entanglement entropy in a homogeneous falling shell background, which is dual to the strongly coupled field theory following a global quench. For d=2 conformal field theories, it is known that the entropy has a…

High Energy Physics - Theory · Physics 2013-09-12 Yong-Zhuang Li , Shao-Feng Wu , Yong-Qiang Wang , Guo-Hong Yang

Digital holographic microcopy is a thriving imaging modality that attracts considerable research interest due to its ability to not only create excellent label-free contrast, but also supply valuable physical information regarding the…

Optics · Physics 2019-04-01 Gili Dardikman , Natan T. Shaked

The AdS/CFT correspondence is a realization of the holographic principle in the context of string theory. It is a map between a quantum field theory and a string theory living in one or more extra dimensions. Holography provides new tools…

High Energy Physics - Theory · Physics 2015-01-20 N. Angelinos

We review recent work on holographic aspects of electric-magnetic dualities in theories that involve conformally coupled scalars and abelian gauge fields in asymptotically AdS4 spaces. Such models are relevant for the holographic…

High Energy Physics - Theory · Physics 2008-11-26 Sebastian de Haro , Anastasios C. Petkou

We study the entanglement entropy in 1+1 dimensional conformal field theories in the presence of interfaces from a holographic perspective. Compared with the well-known case of boundary conformal field theories, interfaces allow for several…

High Energy Physics - Theory · Physics 2023-08-22 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

Digital holography numerically restores three-dimensional image information using optically captured diffractive waves. The required bandwidth is larger than that of hologram pixel at a closer distance in the Fresnel diffraction regime,…

Optics · Physics 2024-01-12 Byung Gyu Chae

Tensor networks, $T\bar{T}$, and broader notions of a holographic principle all motivate the idea that some notion of gravitational holography should persist in the presence of a radial cutoff. But in the absence of time-reflection…

High Energy Physics - Theory · Physics 2021-02-03 Brianna Grado-White , Donald Marolf , Sean J. Weinberg

This paper proposes a geodesic-distance-based feature that encodes global information for improved video segmentation algorithms. The feature is a joint histogram of intensity and geodesic distances, where the geodesic distances are…

Computer Vision and Pattern Recognition · Computer Science 2017-04-04 Hieu Le , Vu Nguyen , Chen-Ping Yu , Dimitris Samaras

Within the AdS/CFT correspondence, computational complexity for reduced density matrices of holographic conformal field theories has been conjectured to be related to certain geometric observables in the dual gravity theory. We study this…

High Energy Physics - Theory · Physics 2024-12-13 Marius Gerbershagen , Juan Hernandez , Mikhail Khramtsov , Maria Knysh

Recently four-point holographic correlators with arbitrary external BPS operators were constructively derived in [1,2] at tree-level for maximally superconformal theories. In this paper, we capitalize on these theoretical data, and perform…

High Energy Physics - Theory · Physics 2021-04-12 Connor Behan , Pietro Ferrero , Xinan Zhou

We elaborate on the role of extremal surfaces probing the internal space in AdS/CFT. Extremal surfaces in AdS quantify the "geometric" entanglement between different regions in physical space for the dual CFT. This, however, is just one of…

High Energy Physics - Theory · Physics 2015-04-16 Andreas Karch , Christoph F. Uhlemann

We consider holographic entanglement entropy in AdS black hole backgrounds by using the limit of large number of dimensions. By dividing the geometry to two patches (with one patch covering the vicinity of the black hole horizon and another…

High Energy Physics - Theory · Physics 2026-03-27 Parul Jain , Matti Järvinen

The mutual and tripartite information between pairs and triples of disjoint regions in a quantum field theory are sensitive probes of the spread of correlations in an equilibrating system. We compute these quantities in strongly coupled…

High Energy Physics - Theory · Physics 2011-12-05 V. Balasubramanian , A. Bernamonti , N. Copland , B. Craps , F. Galli