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Entanglement cohomology assigns a graded cohomology ring to a multipartite pure state, providing homological invariants that are stable under local unitaries and characterize inequivalent patterns of entanglement. In this work we derive…

High Energy Physics - Theory · Physics 2025-12-24 Christian Ferko , Keiichiro Furuya

We investigate bipartite entanglement in spin-1/2 systems on a generic lattice. For states that are an equal superposition of elements of a group $G$ of spin flips acting on the fully polarized state $\ket{0}^{\otimes n}$, we find that the…

Quantum Physics · Physics 2007-05-23 Alioscia Hamma , Radu Ionicioiu , Paolo Zanardi

We present a detailed analysis of bipartite entanglement entropies in fractional quantum Hall (FQH) states, considering both abelian (Laughlin) and non-abelian (Moore-Read) states. We derive upper bounds for the entanglement between two…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 O. S. Zozulya , M. Haque , K. Schoutens , E. H. Rezayi

We compute the topological entanglement entropy for a large set of lattice models in $d$-dimensions. It is well known that many such quantum systems can be constructed out of lattice gauge models. For dimensionality higher than two, there…

Strongly Correlated Electrons · Physics 2020-04-22 J. P. Ibieta-Jimenez , M. Petrucci , L. N. Queiroz Xavier , P. Teotonio-Sobrinho

We study the effects of including higher-curvature corrections to the Einstein gravity bulk action on the holographic entanglement entropy (HEE) expression for geometries with hyperscaling violation (hvLf). For $\theta< 0$ we show that one…

High Energy Physics - Theory · Physics 2015-06-22 Pablo Bueno , Pedro F. Ramirez

Einsteinian cubic gravity provides a holographic toy model of a nonsupersymmetric CFT in three dimensions, analogous to the one defined by Quasi-topological gravity in four. The theory admits explicit non-hairy AdS$_4$ black holes and…

High Energy Physics - Theory · Physics 2018-06-18 Pablo Bueno , Pablo A. Cano , Alejandro Ruiperez

We demonstrate the equivalence of two different conjectures in the literature for the holographic entanglement negativity in AdS$_3$/CFT$_2$, modulo certain constants. These proposals involve certain algebraic sums of bulk geodesics…

High Energy Physics - Theory · Physics 2024-03-12 Jaydeep Kumar Basak , Vinay Malvimat , Himanshu Parihar , Boudhayan Paul , Gautam Sengupta

We introduce the entanglement gauge describing the combined effects of local operations and nonlocal unitary transformations on bipartite quantum systems. The entanglement gauge exploits the invariance of nonlocal properties for bipartite…

Quantum Physics · Physics 2011-07-19 Karl-Peter Marzlin , Stephen D. Bartlett , Barry C. Sanders

Holographic entanglement entropy is a key concept linking quantum information theory and gravity. Since the original conjecture of Ryu and Takayanagi, holographic entanglement entropy has been generalized beyond Einstein--Hilbert gravity to…

High Energy Physics - Theory · Physics 2026-02-13 Dušan Đorđević , Dragoljub Gočanin

We propose an explicit realization of flat space holography in two dimensions where both sides of the duality are independently defined and the boundary theory is completely solvable. In the bulk, we define a novel $\mathcal{N}=1$ flat…

High Energy Physics - Theory · Physics 2023-02-22 Felipe Rosso

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

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

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

Quantum corrections to holographic entanglement entropy require knowledge of the bulk quantum state. In this paper, we derive a novel dual prescription for the generalized entropy that allows us to interpret the leading quantum corrections…

High Energy Physics - Theory · Physics 2022-02-25 Cesar A. Agón , Juan F. Pedraza

The topological entanglement entropy is used to measure long-range quantum correlations in the ground state of topological phases. Here we obtain closed form expressions for topological entropy of (2+1)- and (3+1)-dimensional loop gas…

Quantum Physics · Physics 2022-01-26 Jacob C. Bridgeman , Benjamin J. Brown , Samuel J. Elman

I give a brief review of higher dimensional quantum Hall effect (QHE) and how one can use a general framework to describe the lowest Landau level dynamics as a noncommutative field theory whose semiclassical limit leads to anomaly free…

High Energy Physics - Theory · Physics 2022-04-12 Dimitra Karabali

In 2006, Ryu and Takayanagi (RT) pointed out that (with a suitable cutoff) the entanglement entropy between two complementary regions of an equal-time surface of a d+1-dimensional conformal field theory on the conformal boundary of…

High Energy Physics - Theory · Physics 2016-05-26 Bernard S. Kay

We study holographic entropy inequalities and their structural properties by making use of a judicious grouping of terms into certain multipartite information quantities. This allows us to recast cumbersome entropic expressions into much…

High Energy Physics - Theory · Physics 2024-09-09 Sergio Hernández-Cuenca , Veronika E. Hubeny , Frederic Jia

In this paper, we analyze the holographic covariant entanglement entropy in the double Wick rotated version of a rotating BTZ black hole (3 dimensional Kerr-AdS solution), where the periodicity of Euclidean time and spatial direction are…

High Energy Physics - Theory · Physics 2023-01-18 Mitsutoshi Fujita , Jun Zhang

We study some aspects of a class of non-AdS holography where the 3d bulk gravity is given by Generalized Minimal Massive Gravity (GMMG). We consider the spacelike warped $AdS_3$ ($WAdS_3$) black hole solution of this model where the 2d dual…

High Energy Physics - Theory · Physics 2021-12-01 M. R. Setare , M. Koohgard
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