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In this note a new method for computing the entanglement entropy of a CFT holographically is explored. It consists of finding a bulk background with a boundary metric that has the conical singularities needed to compute the entanglement…

High Energy Physics - Theory · Physics 2008-12-25 Georgios Michalogiorgakis

Quantifying entanglement is a work in progress which is important for the active field of quantum information and computation. A measure of bipartite pure state entanglement is proposed here, named entanglement coherence, which is…

Quantum Physics · Physics 2022-02-15 Neha Pathania , Tabish Qureshi

We propose entanglement entropy as a probe of the architecture of spacetime in quantum gravity. We argue that the leading contribution to this entropy satisfies an area law for any sufficiently large region in a smooth spacetime, which, in…

High Energy Physics - Theory · Physics 2012-12-21 Eugenio Bianchi , Robert C. Myers

The entanglement entropy of a massless scalar field in de Sitter space depends on multiple scales, such as the radius of the entangling surface, the Hubble constant and the UV cutoff. We perform a high-precision numerical calculation using…

High Energy Physics - Theory · Physics 2025-09-03 Konstantinos Boutivas , Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

We introduce a novel method for computing entanglement entropy across surfaces in Loop Quantum Gravity by employing techniques from quantum error correcting codes. In this construction, the redundancy encoded in the gauge invariant subspace…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Sean Tobin

Quantum entropies and state distances are analyzed in polaronic systems with short range (Holstein model) and long range (Fr$\ddot{o}$hlich model) electron-phonon coupling. These quantities are extracted by a variational wave function which…

Strongly Correlated Electrons · Physics 2015-05-19 C. A. Perroni , V. Marigliano Ramaglia , V. Cataudella

The entanglement entropy of subsystems of typical eigenstates of quantum many-body Hamiltonians has been recently conjectured to be a diagnostic of quantum chaos and integrability. In quantum chaotic systems it has been found to behave as…

Quantum Physics · Physics 2022-07-28 Eugenio Bianchi , Lucas Hackl , Mario Kieburg , Marcos Rigol , Lev Vidmar

The quantum entanglement entropy of the electrons in one-dimensional hydrogen molecule is quantified locally using an appropriate partitioning of the two-dimensional configuration space. Both the global and the local entanglement entropy…

Quantum Physics · Physics 2025-10-24 Ivan P. Christov

We study different aspects of quantum entanglement and its measures, including entanglement entropy in the vacuum state of a certain Lifshitz scalar theory. We present simple intuitive arguments based on "non-local" effects of this theory…

High Energy Physics - Theory · Physics 2017-07-25 M. Reza Mohammadi Mozaffar , Ali Mollabashi

We analyze entanglement between quantum interacting fields. In particular, we use R\'enyi entropy to quantify the entanglement between the fields in the ground state of the linear $\sigma$ model. We adopt R\'enyi entropy because the failure…

Quantum Physics · Physics 2015-03-17 Daniele Teresi , Giuseppe Compagno

We consider the computation of the entanglement entropy in curved backgrounds with event horizons. We use a Hamiltonian approach to the problem and perform numerical computations on a spherical lattice of spacing $a$. We study the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Rainer Mueller , Carlos O. Lousto

We consider the entanglement entropy for a spacetime region and its spacelike complement in the framework of algebraic quantum field theory. For a M\"obius covariant local net satisfying a certain nuclearity property, we consider the von…

Mathematical Physics · Physics 2018-07-04 Yul Otani , Yoh Tanimoto

The problem of quantum state inference and the concept of quantum entanglement are studied using a non-additive measure in the form of Tsallis entropy indexed by the positive parameter q. The maximum entropy principle associated with this…

Quantum Physics · Physics 2009-10-31 Sumiyoshi Abe , A. K. Rajagopal

For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we construct high fidelity approximations of relatively low…

Quantum Physics · Physics 2025-03-18 Michael Aizenman , Simone Warzel

For a general quantum many-body system, we show that its ground-state entanglement imposes a fundamental constraint on the low-energy excitations. For two-dimensional systems, our result implies that any system that supports anyons must…

Quantum Physics · Physics 2015-09-24 Isaac H. Kim , Benjamin J. Brown

We compute the holographic entanglement entropy of a thermalized CFT on a time-dependent background in four dimensions. We consider a slab configuration extending beyond the cosmological horizon of a Friedmann-Lemaitre-Robertson-Walker…

High Energy Physics - Theory · Physics 2022-07-27 Vangelis Giantsos , Nikolaos Tetradis

In this paper, we calculate the topological entanglement entropy of the BTZ black hole and find that it coincides with that for fractional quantum Hall state. So the BTZ black holes have the same topological order with the fractional…

High Energy Physics - Theory · Physics 2020-11-12 Jing-Bo Wang

This paper explores the fundamental relationship between the geometry of entanglement and von Neumann entropy, shedding light on the intricate nature of quantum correlations. We provide a comprehensive overview of entanglement, highlighting…

Quantum Physics · Physics 2024-06-03 Ramita Sarkar , Soumik Mahanti , Prasanta K. Panigrahi

We present a method to measure the von Neumann entanglement entropy of ground states of quantum many-body systems which does not require access to the system wave function. The technique is based on a direct thermodynamic study of…

Strongly Correlated Electrons · Physics 2020-02-19 T. Mendes-Santos , G. Giudici , R. Fazio , M. Dalmonte

We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is…

High Energy Physics - Theory · Physics 2015-06-23 Vladimir Rosenhaus , Michael Smolkin