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Related papers: Non-local Probes of Entanglement in the Scale Inva…

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We identify a special information-theoretic property of quantum field theories with holographic duals: the mutual informations among arbitrary disjoint spatial regions A,B,C obey the inequality I(A:BC) >= I(A:B)+I(A:C), provided…

High Energy Physics - Theory · Physics 2013-07-25 Patrick Hayden , Matthew Headrick , Alexander Maloney

The exact nature of the many-body localization transition remains an open question. An aspect which has been posited in various studies is the emergence of scale invariance around this point, however the direct observation of this…

Disordered Systems and Neural Networks · Physics 2019-08-09 Johnnie Gray , Abolfazl Bayat , Arijeet Pal , Sougato Bose

Motivated by conjectures in holography relating the entanglement of purification and reflected entropy to the entanglement wedge cross-section, we introduce two related non-negative measures of tripartite entanglement $g$ and $h$. We prove…

Quantum Physics · Physics 2021-03-31 Yijian Zou , Karthik Siva , Tomohiro Soejima , Roger S. K. Mong , Michael P. Zaletel

Entanglement entropy of holographic CFTs is expected to play a crucial role in the reconstruction of semiclassical bulk gravity. We consider the entanglement entropy of spherical regions of vacuum, which is known to contain universal…

High Energy Physics - Theory · Physics 2015-11-10 Felix M. Haehl

The entanglement entropy of an annulus is examined in a three-dimensional system with or without a gap. For a free massive scalar field theory, we numerically calculate the mutual information across an annulus. We also study the holographic…

High Energy Physics - Theory · Physics 2015-05-20 Yuki Nakaguchi , Tatsuma Nishioka

The detection of entanglement provides a definitive proof of quantumness. Its ascertainment might be challenging for hot or macroscopic objects, where entanglement is typically weak, but nevertheless present. Here we propose a platform for…

Quantum Physics · Physics 2023-05-10 Tanjung Krisnanda , Tomasz Paterek , Mauro Paternostro , Timothy C. H. Liew

This paper investigates the behavior of mutual information, entanglement negativity, and multipartite correlations in holographic RG flows, particularly during phase transitions. Mutual information provides a UV-finite measure of total…

Quantum Physics · Physics 2024-10-08 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Eric Howard

We carry out a systematic study of entanglement entropy in nonrelativistic conformal field theories via holographic techniques. After a discussion of recent results concerning Galilean conformal field theories, we deduce a novel expression…

High Energy Physics - Theory · Physics 2017-09-12 Seyed Morteza Hosseini , Alvaro Veliz-Osorio

Using entanglement of assistance, we establish a general polygamy inequality of multi-party entanglement in arbitrary dimensional quantum systems. For multi-party closed quantum systems, we relate our result with the monogamy of…

Quantum Physics · Physics 2012-06-15 Jeong San Kim

This note contains discussions on the entanglement entropy and mutual information of a strongly coupled field theory with a critical point which has a holographic dual. We investigate analytically, in the specific regimes of parameters, how…

High Energy Physics - Theory · Physics 2020-11-11 Hajar Ebrahim , Gol-Mohammad Nafisi

In this thesis, we study a variety of phenomena in strongly coupled quantum field theories by performing calculations in their gravitational duals. We compute entanglement entropy in a variety of holographic systems, paying particular…

High Energy Physics - Theory · Physics 2019-12-23 Ronnie Rodgers

We study in detail various information theoretic quantities with the intent of distinguishing between different charged sectors in fractionalized states of large-$N$ gauge theories. For concreteness, we focus on a simple holographic…

High Energy Physics - Theory · Physics 2021-05-21 Brandon S. DiNunno , Niko Jokela , Juan F. Pedraza , Arttu Pönni

We examine the quantum gravitational entanglement of two test masses in the context of linearized General Relativity with specific non-local interaction with matter. To accomplish this, we consider an energy-momentum tensor describing two…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Ulrich K. Beckering Vinckers , Álvaro de la Cruz-Dombriz , Anupam Mazumdar

The holographic representation of the entanglement entropy of four dimensional conformal field theories is studied. By generalizing the replica trick the anomalous terms in the entanglement entropy are evaluated. The same terms in the…

High Energy Physics - Theory · Physics 2008-11-26 A. Schwimmer , S. Theisen

The holographic entanglement entropy functional for higher-curvature gravities involves a weighted sum whose evaluation, beyond quadratic order, requires a complicated theory-dependent splitting of the Riemann tensor components. Using the…

High Energy Physics - Theory · Physics 2021-05-05 Pablo Bueno , Joan Camps , Alejandro Vilar López

We consider recently introduced solutions of Einstein gravity with minimally coupled massless scalars. The geometry is homogeneous, isotropic and asymptotically anti de-Sitter while the scalar fields have linear spatial-dependent profiles.…

High Energy Physics - Theory · Physics 2016-10-26 M. Reza Mohammadi Mozaffar , Ali Mollabashi , Farzad Omidi

We study one-loop bulk entanglement entropy in even spacetime dimensions using the heat kernel method, which captures the universal piece of entanglement entropy, a logarithmically divergent term in even dimensions. In four dimensions, we…

High Energy Physics - Theory · Physics 2021-07-21 Zhong-Ying Fan

We propose entanglement negativity as a fine-grained probe of measurement-induced criticality. We motivate this proposal in stabilizer states, where for two disjoint subregions, comparing their "mutual negativity" and their mutual…

Statistical Mechanics · Physics 2021-07-28 Shengqi Sang , Yaodong Li , Tianci Zhou , Xiao Chen , Timothy H. Hsieh , Matthew P. A. Fisher

A fundamental element of scale-dependent gravity is the scale-setting procedure. We present a new covariant expression to set the scale that arises when examining the field equations. Considering the renormalization group equations and…

General Relativity and Quantum Cosmology · Physics 2025-04-28 Nicolas R. Bertini

Continuous variables systems find valuable applications in quantum information processing. To deal with an infinite-dimensional Hilbert space, one in general has to handle large numbers of discretized measurements in tasks such as…