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Information-theoretic inequalities often impose nontrivial constraints on holographic states. In this work, we study measurement-based classical and quantum correlations in holography, focusing on the proposed duals of classical correlation…

High Energy Physics - Theory · Physics 2026-02-03 Kyan Louisia , Takato Mori , Herbie Warner

We study the entanglement wedge cross-section (EWCS) in holographic massive gravity theory, in which a first and second-order phase transition can occur. We find that the mixed state entanglement measures, the EWCS and mutual information…

High Energy Physics - Theory · Physics 2021-09-15 Peng Liu , Chao Niu , Zi-Jian Shi , Cheng-Yong Zhang

We identify a non-negative and upper-bounded entanglement signal in holography which is defined as a combination of entanglement wedge cross sections (EWCS) for a tripartite mixed state $ABE$: $\mathrm{EI}_{\Delta}(A:B|E) =…

High Energy Physics - Theory · Physics 2025-12-29 Xin-Xiang Ju , Wen-Bin Pan , Ya-Wen Sun , Yang Zhao

We evaluate the entanglement wedge cross section (EWCS) in asymptotically AdS geometries which are dual to boundary excited states. We carry out a perturbative analysis for calculating EWCS between the vacuum and other states for a…

High Energy Physics - Theory · Physics 2021-09-13 Mohammad Sahraei , Mohammad Javad Vasli , M. Reza Mohammadi Mozaffar , Komeil Babaei Velni

Recent developments have exposed close connections between quantum information and holography. In this paper, we explore the geometrical interpretations of the recently introduced $Q$-correlation and $R$-correlation, $E_Q$ and $E_R$. We…

High Energy Physics - Theory · Physics 2020-02-19 Joshua Levin , Oliver DeWolfe , Graeme Smith

In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any…

High Energy Physics - Theory · Physics 2023-09-07 Raphael Bousso , Geoff Penington

While entanglement is a cornerstone of quantum theory and holography, quantum correlations arising from superposition, such as quantum discord, offer a broader perspective that has remained largely unexplored in holography. We construct…

High Energy Physics - Theory · Physics 2026-02-11 Takato Mori

We consider the minimal area of the entanglement wedge cross section (EWCS) in Einstein gravity. In the context of holography, it is proposed that this quantity is dual to different information measures, e.g., entanglement of purification,…

High Energy Physics - Theory · Physics 2019-05-30 Komeil Babaei Velni , M. Reza Mohammadi Mozaffar , M. H. Vahidinia

We investigate the holographic mixed-state entanglement measures in the Einstein-Maxwell-Scalar (EMS) theory. Several quantities are computed, including the holographic entanglement entropy (HEE), mutual information (MI), entanglement wedge…

High Energy Physics - Theory · Physics 2026-01-27 Zhe Yang , GuangZai Ye , Jian-Pin Wu , Peng Liu

We introduce a new class of quantum and classical correlation measures by generalizing the reflected entropy to multipartite states. We define the new measures for quantum systems in one spatial dimension. For quantum systems having gravity…

High Energy Physics - Theory · Physics 2020-03-27 Jinwei Chu , Runze Qi , Yang Zhou

We consider the time evolution of mixed state correlation measures in two-dimensional conformal field theories, such as logarithmic negativity, odd entropy, and reflected entropy, after quantum quenches of various kinds. These correlation…

High Energy Physics - Theory · Physics 2020-04-20 Jonah Kudler-Flam , Yuya Kusuki , Shinsei Ryu

We consider a class of correlation measures for quantum states called optimized correlation measures, defined as a minimization of a linear combination of von Neumann entropies over purifications of a given state. Examples include the…

High Energy Physics - Theory · Physics 2020-03-13 Newton Cheng

We characterize the quantum states dual to entanglement wedges in arbitrary spacetimes, in settings where the matter entropy can be neglected compared to the geometric entropy. In AdS/CFT, such states obey special entropy inequalities known…

High Energy Physics - Theory · Physics 2024-04-19 Raphael Bousso , Sami Kaya

In this paper, we investigate the mixed-state entanglement in a model of p-wave superconductivity phase transition using holographic methods. We calculate several entanglement measures, including holographic entanglement entropy (HEE),…

High Energy Physics - Theory · Physics 2023-05-10 Zhe Yang , Fang-Jing Cheng , Chao Niu , Cheng-Yong Zhang , Peng Liu

One of the best signatures of nonclassicality in a quantum system is the existence of correlations that have no classical counterpart. Different methods for quantifying the quantum and classical parts of correlations are amongst the more…

Quantum Physics · Physics 2012-11-29 Kavan Modi , Aharon Brodutch , Hugo Cable , Tomasz Paterek , Vlatko Vedral

We consider a composite system where AdS$_3$ gravity is coupled to a flat heat bath and investigate the mutual information between two subregions on the intersection of the AdS$_3$ and bath, referred to as the boundary mutual information…

High Energy Physics - Theory · Physics 2026-02-16 Yuxuan Liu , Yi Ling , Zhuo-Yu Xian

Correlation has been widely used to facilitate various information retrieval methods such as query expansion, relevance feedback, document clustering, and multi-modal fusion. Especially, correlation and independence are important issues…

Information Retrieval · Computer Science 2018-10-29 Dimitris Gkoumas , Sagar Uprety , Dawei Song

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

We focus on a proper candidate for the entanglement wedge in asymptotically flat bulk geometries that are described by the generalized minimal massive gravity (GMMG) in the context of the flat holography. To this end, we describe the…

High Energy Physics - Theory · Physics 2025-07-14 Mohammad Reza Setare , Meisam Koohgard

We derive dynamics of the entanglement wedge cross section directly from the two-dimensional holographic CFTs with a local operator quench. This derivation is based on the reflected entropy, a correlation measure for mixed states. We…

High Energy Physics - Theory · Physics 2021-03-17 Yuya Kusuki , Kotaro Tamaoka
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