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We compute the entanglement of purification (EoP) in a 2d free scalar field theory with various masses. This quantity measures correlations between two subsystems and is reduced to the entanglement entropy when the total system is pure. We…

High Energy Physics - Theory · Physics 2018-04-26 Arpan Bhattacharyya , Tadashi Takayanagi , Koji Umemoto

We use holographic duality to study the entanglement entropy (EE) of Conformal Field Theories (CFTs) in various spacetime dimensions $d$, in the presence of various deformations: a relevant Lorentz scalar operator with constant source, a…

High Energy Physics - Theory · Physics 2017-11-22 Nikola I. Gushterov , Andy O'Bannon , Ronnie Rodgers

There are increasing evidences that quantum information theory has come to play a fundamental role in quantum gravity especially the holography. In this paper, we show some new potential connections between holography and quantum…

High Energy Physics - Theory · Physics 2020-08-10 Dong-Hui Du , Fu-Wen Shu , Kai-Xin Zhu

In this paper, we explore the properties of holographic entanglement entropy (HEE), mutual information (MI) and entanglement of purification (EoP) in holographic Lifshitz theory. These informational quantities exhibit some universal…

High Energy Physics - Theory · Physics 2021-08-03 Huajie Gong , Peng Liu , Guoyang Fu , Xiao-Mei Kuang , Jian-Pin Wu

The entanglement of purification (EoP), which measures the classical correlations and entanglement of a given mixed state, has been conjectured to be dual to the area of the minimal cross section of the entanglement wedge in holography.…

High Energy Physics - Theory · Physics 2019-09-04 Dong-Hui Du , Chong-Bin Chen , Fu-Wen Shu

We consider the holographic candidate for the entanglement of purification $E_P$, given by the minimal cross sectional area of an entanglement wedge $E_W$. The $E_P$ is generally very complicated quantity to obtain in field theories, thus…

High Energy Physics - Theory · Physics 2019-09-04 Niko Jokela , Arttu Pönni

In this work we study how entanglement of purification (EoP) and the new quantity of "complexity of purification" are related to each other using the $E_P=E_W$ conjecture. First, we consider two strips in the same side of a boundary and…

High Energy Physics - Theory · Physics 2019-09-10 Mahdis Ghodrati , Xiao-Mei Kuang , Bin Wang , Cheng-Yong Zhang , Yu-Ting Zhou

The holographic entanglement of purification (EoP) in AdS$_{4}$ and AdS-RN black hole backgrounds is studied. We develop an algorithm to compute the EoP for bipartite configuration with infinitely long strips. The temperature behavior of…

High Energy Physics - Theory · Physics 2019-09-19 Peng Liu , Yi Ling , Chao Niu , Jian-Pin Wu

We investigate the holographic entanglement entropy (HEE) of a strip geometry in four dimensional Q-lattice backgrounds, which exhibit metal-insulator transitions in the dual field theory. Remarkably, we find that the HEE always displays a…

High Energy Physics - Theory · Physics 2016-04-26 Yi Ling , Peng Liu , Chao Niu , Jian-Pin Wu , Zhuo-Yu Xian

We introduce a new information-theoretic measure of multipartite quantum/classical correlations $\Delta_P$, by generalizing the entanglement of purification to multipartite states. We provide proofs of its various properties, focusing on…

High Energy Physics - Theory · Physics 2018-11-02 Koji Umemoto , Yang Zhou

Entanglement entropy is crucial for understanding the link between quantum mechanics and information theory. This thesis investigates how energy fluctuations and acceleration affect entanglement entropy through three key scenarios. First,…

High Energy Physics - Theory · Physics 2025-10-28 Felipe Diaz

We formulate a version of the information paradox in de Sitter spacetime and show that it is solved by the emergence of entanglement islands in the context of the DS/dS correspondence; in particular, the entanglement entropy of a subregion…

High Energy Physics - Theory · Physics 2021-06-09 Hao Geng , Yasunori Nomura , Hao-Yu Sun

Entanglement entropy (EE) provides a powerful probe of quantum phases, yet its role in identifying topological phase transitions in disordered systems remains underexplored. We introduce an exact EE-based framework that captures topological…

Strongly Correlated Electrons · Physics 2026-04-09 Manish Kumar , Bharadwaj Vedula , Suhas Gangadharaiah , Auditya Sharma

We investigate the relations between bit thread, entanglement distillation and entanglement of purification in the holographic framework. Specifically, we give a bit thread interpretation for the one-shot entanglement distillation (OSED)…

High Energy Physics - Theory · Physics 2021-09-02 Yi-Yu Lin , Jia-Rui Sun , Yuan Sun

In this article, we investigate the entanglement structure of bipartite mixed states in (1+1)-dimensional boundary conformal field theories (BCFT$_2$s) through the odd entanglement entropy (OEE) by employing an appropriate replica…

High Energy Physics - Theory · Physics 2023-10-18 Anjali Kumari , Vinayak Raj , Gautam Sengupta

We introduce the subdimensional entanglement entropy (SEE), defined on subdimensional entanglement subsystems (SESs) embedded in the bulk, as an entanglement-based probe of how geometry and topology jointly shape universal properties of…

Strongly Correlated Electrons · Physics 2026-04-16 Meng-Yuan Li , Peng Ye

We study the entanglement entropy (EE) and the R\'{e}nyi entropy (RE) of multiple intervals in two-dimensional $T\overline{T}$-deformed conformal field theory (CFT) at finite temperature by field theoretic and holographic methods. First, by…

High Energy Physics - Theory · Physics 2020-02-03 Hyun-Sik Jeong , Keun-Young Kim , Mitsuhiro Nishida

In the AdS/CFT context, the entanglement of purification (EoP, denoted as $E_{P}$) of CFT is conjectured to be dual to the entanglement wedge cross section (EWCS) in bulk. However, another quantity called reflected entropy $S_{R}$ is also…

High Energy Physics - Theory · Physics 2025-06-17 Liangyu Chen

In this paper, we holographically quantify the entanglement and complexity for mixed states by following the prescription of purification. The bulk theory we consider in this work is a hyperscaling violating solution, characterized by two…

High Energy Physics - Theory · Physics 2021-04-14 Ashis Saha , Sunandan Gangopadhyay

We study the entanglement of purification (EoP) of subsystem $A$ and B in conformal field theories (CFTs) stressing on its relation to unitary operations of disentanglement, if the auxiliary subsystem $\tilde{A}$ adjoins $A$ and…

High Energy Physics - Theory · Physics 2019-10-02 Wu-zhong Guo
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