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The Markov gap, defined as the difference between reflected entropy and mutual information, serves as a diagnostic for quantum recoverability and multipartite entanglement. In holographic settings, it admits a geometric interpretation as…

High Energy Physics - Theory · Physics 2025-10-09 Norihiro Iizuka , Akihiro Miyata , Mitsuhiro Nishida

While the scaling of entanglement in a quantum system can be used to distinguish many-body quantum phases, it is usually hard to quantify the amount of entanglement in mixed states of open quantum systems, while measuring entanglement…

Statistical Mechanics · Physics 2019-06-04 Katarzyna Macieszczak , Emanuele Levi , Tommaso Macrì , Igor Lesanovsky , Juan P. Garrahan

We study holographic entanglement entropy in spatially anisotropic field theory. We observe that for the background we consider in this paper, to a good approximation, the holographic entanglement entropy can be decomposed into two terms.…

High Energy Physics - Theory · Physics 2018-07-11 M. Rahimi , M. Ali-Akbari

We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial differential equations in unbounded two-dimensional domains with multiple finite-length open arcs.…

Analysis of PDEs · Mathematics 2023-05-26 Jose Pinto , Fernando Henríquez , Carlos Jerez-Hanckes

In this paper, we investigate a genuine multipartite entanglement measure based on the geometric method. This measure arrives at the maximal value for the absolutely maximally entangled states and has desirable properties for quantifying…

Quantum Physics · Physics 2022-06-07 Xian Shi

Holography is a cornerstone characterisation and imaging technique that can be applied to the full electromagnetic spectrum, from X-rays to radio waves or even particles such as neutrons. The key property in all these holographic approaches…

Quantum Physics · Physics 2021-01-12 Hugo Defienne , Bienvenu Ndagano , Ashley Lyons , Daniele Faccio

Variational quantum algorithms have emerged as a powerful tool for harnessing the potential of near-term quantum devices to address complex challenges across quantum science and technology. Yet, the robust and scalable quantification of…

Quantum Physics · Physics 2025-10-21 Vahid Azimi-Mousolou , Prashant Singh

We investigate the behaviors of entanglement entropy in the holographical insulator/superconductor phase transition. We calculate the holographic entanglement entropy for two kinds of geometry configurations in a completely back-reacted…

High Energy Physics - Theory · Physics 2012-12-17 Rong-Gen Cai , Song He , Li Li , Yun-Long Zhang

We investigate the behavior of entanglement entropy at finite temperature and chemical potential for strongly coupled large-N gauge theories in $d$-dimensions ($d\ge 3$) that are dual to Anti-de Sitter-Reissner-Nordstrom geometries in…

High Energy Physics - Theory · Physics 2018-09-25 Sandipan Kundu , Juan F. Pedraza

We propose that holographic entanglement entropy can be calculated at arbitrary orders in the bulk Planck constant using the concept of a "quantum extremal surface": a surface which extremizes the generalized entropy, i.e. the sum of area…

High Energy Physics - Theory · Physics 2015-10-27 Netta Engelhardt , Aron C. Wall

In this paper we have studied the effect of deformation and temperature on holographic entanglement entropy and mutual information between two subsystems in a deformed field theory at finite temperature. The $T{\overline{T}}$ deformation…

High Energy Physics - Theory · Physics 2023-04-25 Hajar Ebrahim , Monireh Ahmadpour

Although entanglement is a key resource for quantum-enhanced metrology, not all entanglement is useful. For example in the process of many-body thermalisation, bipartite entanglement grows rapidly, naturally saturating to a volume law. This…

Quantum Physics · Physics 2023-02-01 Shane Dooley , Silvia Pappalardi , John Goold

We investigate entanglement production by inhomogeneous perturbations over a homogeneous and isotropic cosmic background, demonstrating that the interplay between quantum and geometric effects can have relevant consequences on entanglement…

General Relativity and Quantum Cosmology · Physics 2022-10-17 Alessio Belfiglio , Orlando Luongo , Stefano Mancini

This thesis poses a selection of recent research of the author in a common context. It starts with a selected review on research concerning the role entanglement might play at quantum phase transitions and introduces measures for…

Quantum Physics · Physics 2012-02-08 A. Osterloh

We establish a quantitative bulk-boundary correspondence in interacting topological insulators by relating many-body topological invariants to characteristic degeneracy structures in the entanglement spectrum. Focusing on generalized…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Kiran Babasaheb Estake , Dibyendu Roy

In open quantum systems, we directly relate anomalies of higher-form symmetries to the long-range entanglement of any mixed state with such symmetries. First, we define equivalence classes of long-range entanglement in mixed states via…

Quantum Physics · Physics 2025-03-18 Leonardo A. Lessa , Shengqi Sang , Tsung-Cheng Lu , Timothy H. Hsieh , Chong Wang

We calculate quantum corrections to holographic entanglement entropy in the proposed duality between $T\bar{T}$-deformed holographic 2D CFTs and gravity in AdS$_{3}$ with a finite cutoff. We first establish the dictionary between the two…

High Energy Physics - Theory · Physics 2020-05-20 William Donnelly , Elise LePage , Yan-Yan Li , Andre Pereira , Vasudev Shyam

We study the holographic entanglement entropy for singular surfaces in theories described holographically by hyperscaling violating backgrounds. We consider singular surfaces consisting of cones or creases in diverse dimensions. The…

High Energy Physics - Theory · Physics 2015-10-28 Mohsen Alishahiha , Amin Faraji Astaneh , Piermarco Fonda , Farzad Omidi

We review and generalize the recently introduced framework of entropy vectors for detecting and quantifying genuine multipartite entanglement in high dimensional multicomponent quantum systems. We show that these ideas can be extended to…

Quantum Physics · Physics 2013-10-22 Marcus Huber , Martí Perarnau-Llobet , Julio I. de Vicente

Entanglement entropy in a field theory, with a holographic dual, may be viewed as a quantity which encodes the diffeomorphism invariant bulk gravity dynamics. This, in particular, indicates that the bulk Einstein equations would imply some…

High Energy Physics - Theory · Physics 2014-10-31 Jyotirmoy Bhattacharya , Tadashi Takayanagi