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Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed…

High Energy Physics - Theory · Physics 2019-12-30 Tatsuma Nishioka

We compute the entanglement entropy for some quantum field theories on de Sitter space. We consider a superhorizon size spherical surface that divides the spatial slice into two regions, with the field theory in the standard vacuum state.…

High Energy Physics - Theory · Physics 2015-06-11 Juan Maldacena , Guilherme L. Pimentel

Quantum entanglement manifests as a distinctive correlation between particles that transcends classical boundaries when their quantum states cannot be described independently. On the other hand, as quantum systems interact with their…

Quantum Physics · Physics 2025-08-21 Samuel Marquez Gonzalez

Entanglement lies at the core of quantum algorithms designed to solve problems that are intractable by classical approaches. One such algorithm, quantum annealing (QA), provides a promising path to a practical quantum processor. We have…

A scalar field in the ground state, when partially hidden from observation by a spherical boundary, acquires entanglement entropy $S$ proportional to the area of the surface. This area law is well established in flat space, where it follows…

Quantum Physics · Physics 2013-10-01 Katja Ried

Classical and quantum states can be distinguished by entanglement entropy, which can be viewed as a measure of quantum resources. Entanglement entropy also plays a pivotal role in understanding computational complexity in simulating quantum…

Quantum Physics · Physics 2024-09-26 Jiale Huang , Xiangjian Qian , Mingpu Qin

We present a concise introduction to quantum entanglement. Concentrating on bipartite systems we review the separability criteria and measures of entanglement. We focus our attention on geometry of the sets of separable and maximally…

Quantum Physics · Physics 2007-05-23 Karol Zyczkowski , Ingemar Bengtsson

We present a method to detect entanglement partitions of multipartite quantum systems, by exploiting their inherent symmetries. Structures like genuinely multipartite entanglement, $m$-separability and entanglement depth are detected as…

Quantum Physics · Physics 2025-11-19 Albert Rico , Dmitry Grinko , Robin Krebs , Lin Htoo Zaw

We briefly review the physics of gate operations between quantum dot spin-qubits and analyze the dynamics of quantum entanglement in such processes. The indistinguishable character of the electrons whose spins realize the qubits gives rise…

Condensed Matter · Physics 2007-05-23 John Schliemann , Daniel Loss

Entanglement is one of important resources for quantum communication tasks. Most of results are focused on qubit entanglement. Our goal in this work is to characterize the multipartite high-dimensional entanglement. We firstly derive an…

Quantum Physics · Physics 2022-06-15 Xue Yang , Yan-Han Yang , Ming-Xing Luo

We explore the structure of multipartite quantum systems which are entangled in multiple degrees of freedom. We find necessary and sufficient conditions for the characterization of tripartite systems and necessary conditions for any number…

Quantum Physics · Physics 2013-01-16 Marcus Huber , Julio I. de Vicente

The entanglement entropy of the integer Quantum Hall states satisfies the area law for smooth domains with a vanishing topological term. In this paper we consider polygonal domains for which the area law acquires a constant term that only…

Strongly Correlated Electrons · Physics 2011-01-17 Ivan D. Rodriguez , German Sierra

We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Such systems can be thought of as generalizations of the XY…

Mathematical Physics · Physics 2009-11-13 A. R. Its , F. Mezzadri , M. Y. Mo

Quantum entanglement manifests itself in non-local correlations between the constituents of a system. In its simplest realization, a measurement on one subsystem is affected by a prior measurement on its partner, irrespective of their…

Quantum Physics · Physics 2026-01-09 Gilles Parez , William Witczak-Krempa

An important and incompletely answered question is whether a closed quantum system of many interacting particles can be localized by disorder. The time evolution of simple (unentangled) initial states is studied numerically for a system of…

Strongly Correlated Electrons · Physics 2012-07-11 Jens H. Bardarson , Frank Pollmann , Joel E. Moore

The entanglement spectrum describing quantum correlations in many-body systems has been recently recognized as a key tool to characterize different quantum phases, including topological ones. Here we derive its analytically scaling…

Strongly Correlated Electrons · Physics 2013-07-30 L. Lepori , G. De Chiara , A. Sanpera

Studies of entanglement in many-particle systems suggest that most quantum critical ground states have infinitely more entanglement than non-critical states. Standard algorithms for one-dimensional many-particle systems construct model…

Strongly Correlated Electrons · Physics 2015-05-13 Frank Pollmann , Subroto Mukerjee , Ari Turner , Joel E. Moore

This article presents a local realistic interpretation of quantum entanglement. The entanglement is explained as innate interference between the non-empty state associated with the peaked piece of one particle and the empty states…

Quantum Physics · Physics 2007-05-23 Wang Guowen

We analyze the entanglement properties of spins (qubits) attached to the boundary of spin chains near quantum critical points, or to dissipative environments, near a boundary critical point, such as Kondo-like systems or the dissipative two…

Quantum Physics · Physics 2009-11-10 T. Stauber , F. Guinea

Entanglement is a key issue in the quantum physics which gives rise to resources for achieving tasks that are not possible within the realm of classical physics. Quantum entanglement varies with the evolution of the quantum systems. It is…

Quantum Physics · Physics 2019-06-06 Long-Mei , Yang Tao Li , Shao-Ming Fei , Zhi-Xi Wang
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