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We compute the von Neumann and generalized R\'{e}nyi entanglement entropies in the ground-state of the spin-1/2 antiferromagnetic Heisenberg model on the square lattice using the modified spin-wave theory for finite lattices. The addition…

Strongly Correlated Electrons · Physics 2011-07-06 H. Francis Song , Nicolas Laflorencie , Stephan Rachel , Karyn Le Hur

In this paper, we investigate how to reduce the number of measurement configurations needed for sufficiently precise entanglement quantification. Instead of analytical formulae, we employ artificial neural networks to predict the amount of…

Quantum Physics · Physics 2022-07-20 Jan Roik , Karol Bartkiewicz , Antonín Černoch , Karel Lemr

Various approaches to black hole entropy yield the area law with logarithmic corrections, many involving a coefficient 1/2, and some involving 3/2. It is pointed out here that the standard quantum geometry formalism is not consistent with…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Amit Ghosh , P. Mitra

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

Quantum Physics · Physics 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

I argue that a version of the quantum-corrected Ryu-Takayanagi formula holds in any quantum error-correcting code. I present this result as a series of theorems of increasing generality, with the final statement expressed in the language of…

High Energy Physics - Theory · Physics 2017-08-02 Daniel Harlow

We use the framework of generalized entanglement wedges to revisit the connected wedge theorem (CWT). This construction identifies an entanglement wedge associated for any bulk region and allows us to rephrase the CWT in terms of the…

High Energy Physics - Theory · Physics 2026-04-27 Athira Arayath , Sabrina Pasterski

We investigate the reconstruction of asymptotically anti-de Sitter (AdS) bulk geometries from boundary entanglement entropy data for ball-shaped entangling regions. By deriving an explicit inversion formula, we relate variations in…

High Energy Physics - Theory · Physics 2025-12-22 Niko Jokela , Tony Liimatainen , Miika Sarkkinen , Leo Tzou

We develop a general framework to compute the scaling of entanglement entropy in inhomogeneous one-dimensional quantum systems belonging to the Luttinger liquid universality class. While much insight has been gained in homogeneous systems…

Statistical Mechanics · Physics 2020-03-26 Alvise Bastianello , Jérôme Dubail , Jean-Marie Stéphan

Here we investigate the connection between topological order and the geometric entanglement, as measured by the logarithm of the overlap between a given state and its closest product state of blocks. We do this for a variety of…

Strongly Correlated Electrons · Physics 2014-10-28 Roman Orus , Tzu-Chieh Wei , Oliver Buerschaper , Maarten Van den Nest

We explore the connection between the area law for entanglement and geometry by representing the entanglement entropies corresponding to all $2^N$ bipartitions of an $N$-party pure quantum system by means of a (generalized) adjacency…

In this paper, we propose a method of fixing the leading behaviors of three dimensional geometries from the dual CFT$_2$ entanglement entropies. We employ only the holographic principle and do not use any assumption about the AdS/CFT…

High Energy Physics - Theory · Physics 2024-12-25 Peng Wang , Houwen Wu , Haitang Yang

The quantum corrections to the entropy of charged black holes are calculated. The Reissner-Nordstrem and dilaton black holes are considered. The appearance of logarithmically divergent terms not proportional to the horizon area is…

High Energy Physics - Theory · Physics 2011-05-05 S. N. Solodukhin

We study the universal properties of eigenstate entanglement entropy across the transition between many-body localized (MBL) and thermal phases. We develop an improved real space renormalization group approach that enables numerical…

Disordered Systems and Neural Networks · Physics 2017-09-18 Philipp T. Dumitrescu , Romain Vasseur , Andrew C. Potter

We study entanglement entropies between the single-particle states of the hole space and its complement in nuclear systems. Analytical results based on the coupled-cluster method show that entanglement entropies are proportional to the…

Nuclear Theory · Physics 2023-11-20 Chenyi Gu , Z. H. Sun , G. Hagen , T. Papenbrock

Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progressively more well-protected against erasure errors at larger length scales.…

Quantum Physics · Physics 2017-04-14 Isaac H. Kim , Michael J. Kastoryano

The presence of a random magnetic field in ferromagnetic systems leads, in the broken phase, to an anomalous $O(\sqrt{1/N})$ convergence of some thermodynamic quantities to their asymptotic limits. Here we show a general method, based on…

Disordered Systems and Neural Networks · Physics 2014-10-16 Carlo Lucibello , Flaviano Morone , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We develop a unified framework for computing R\'enyi and entanglement entropies of arbitrary spacetime intervals in time-dependent states of $(1+1)$-dimensional conformal field theories. By combining the spacetime density matrix formalism…

High Energy Physics - Theory · Physics 2026-01-01 Wu-zhong Guo , Song He , Tao Liu

In this letter, we propose a method of dark count correction in quantum state tomography of entangled photon pairs. The framework is based on a linear model of dark counts, which is imposed on the measurement formalism. The method is tested…

Quantum Physics · Physics 2022-09-21 Artur Czerwinski

We present a general theory of the corrections to the asymptotic behaviour of the Renyi entropies which measure the entanglement of an interval A of length L with the rest of an infinite one-dimensional system, in the case when this is…

Statistical Mechanics · Physics 2011-02-16 John Cardy , Pasquale Calabrese

We investigate entanglement entropy in $3d$ $\mathcal{N}=2$ superconformal field theories from two different perspectives. We first confirm that the dependence of supersymmetric entanglement entropy (as defined in arXiv:1306.2958) on the…

High Energy Physics - Theory · Physics 2024-10-28 Pedro Vicente Marto , Umut Gürsoy , Guim Planella Planas
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