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We study quantum entanglement in the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model defined on two-dimensional graphs with reflection and/or inversion symmetry. The ground state of this spin model is known as the…

量子物理 · 物理学 2010-06-01 Hosho Katsura , Naoki Kawashima , Anatol N. Kirillov , Vladimir E. Korepin , Shu Tanaka

Entanglement is a fundamental feature of quantum physics and a key resource for quantum communication, computing and sensing. Entangled states are fragile and maintaining coherence is a central challenge in quantum information processing.…

量子物理 · 物理学 2023-09-28 Bradley Longstaff , Michael G. Jabbour , Jonatan Bohr Brask

We explore entanglement loss along renormalization group trajectories as a basic quantum information property underlying their irreversibility. This analysis is carried out for the quantum Ising chain as a transverse magnetic field is…

量子物理 · 物理学 2009-11-10 J. I. Latorre , C. A. Lutken , E. Rico , G. Vidal

Characterizing entanglement in quantum materials is crucial for advancing next-generation quantum technologies. Despite recent strides in witnessing entanglement in magnetic materials with distinguishable spin modes, quantifying…

强关联电子 · 物理学 2025-03-27 Tongtong Liu , Luogen Xu , Jiarui Liu , Yao Wang

We study the quantum entanglement structure of integer quantum Hall states via the reduced density matrix of spatial subregions. In particular, we examine the eigenstates, spectrum and entanglement entropy (EE) of the density matrix for…

强关联电子 · 物理学 2021-03-17 Benoit Sirois , Lucie Maude Fournier , Julien Leduc , William Witczak-Krempa

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

We show that two spatially separated semiconductor quantum dots under resonant and continuous-wave excitation can be strongly entangled in the steady-state, thanks to their radiative coupling by mutual interaction through the normal modes…

量子物理 · 物理学 2016-10-19 J. P. Vasco , D. Gerace , P. S. S. Guimarães , M. F. Santos

Two-dimensional Projected Entangled Pair States (PEPS) provide a unique framework giving access to detailed entanglement features of correlated (spin or electronic) systems. For a bi-partitioned quantum system, it has been argued that the…

强关联电子 · 物理学 2015-06-22 Didier Poilblanc

One of the most important questions in quantum information theory is the so-called separability problem. It involves characterizing the set of separable (or, equivalently entangled) states among mixed states of a multipartite quantum…

量子物理 · 物理学 2014-12-16 Michał Oszmaniec

We discuss the behavior of the entanglement entropy of the ground state in various collective systems. Results for general quadratic two-mode boson models are given, yielding the relation between quantum phase transitions of the system…

统计力学 · 物理学 2011-02-16 J. Vidal , S. Dusuel , T. Barthel

Relative entropy serves as a fundamental measure of state distinguishability in both quantum information theory and relativistic quantum field theory. Despite its conceptual importance, however, explicit computations of relative entropy…

量子物理 · 物理学 2025-12-01 Daniela Cadamuro , Markus B. Fröb , Dimitrios Katsinis , Jan Mandrysch

We investigate the entanglement entropy (EE) of circular entangling cuts in the 2+1-dimensional quantum Lifshitz model, whose ground state wave function is a spatially conformal invariant state of the Rokhsar-Kivelson type, whose weight is…

统计力学 · 物理学 2016-09-15 Tianci Zhou , Xiao Chen , Thomas Faulkner , Eduardo Fradkin

Entanglement in continuous-variable Gaussian systems is a key resource, and common reservoirs can both suppress and generate correlations. Existing work focused on pre-entangled states or Markovian baths, leaving open whether separable…

量子物理 · 物理学 2026-05-18 Austen Couvertier , Ting Yu

Understanding the entanglement structure of local Hamiltonian ground spaces is a physically motivated problem, with applications ranging from tensor network design to quantum error-correcting codes. To this end, we study the complexity of…

量子物理 · 物理学 2026-05-29 Sevag Gharibian , Jonas Kamminga

While the concept of entanglement for distinguishable particles is well established, defining entanglement and non-locality in systems of indistinguishable particles, which require the use of the (anti)symmetrization postulate, remains…

量子物理 · 物理学 2025-04-10 P. Céspedes , F. H. Holik , A. P. Majtey

We consider two measures of entanglement, the logarithmic negativity and the entanglement entropy, between regions of space in excited states of many-body systems formed by a finite number of particle excitations. In parts I and II of the…

In the paper, we show that when a quantum state can be decomposed as a convex combination of locally orthogonal mixed states, its entanglement can be decomposed into the entanglement of these mixed states without losing them. The obtained…

量子物理 · 物理学 2022-07-12 Sunho Kim , Junde Wu , Lin Zhang , Minhyung Cho

We consider systems of interacting spins and study the entanglement that can be localized, on average, between two separated spins by performing local measurements on the remaining spins. This concept of Localizable Entanglement (LE) leads…

量子物理 · 物理学 2007-05-23 M. Popp , F. Verstraete , M. A. Martin-Delgado , J. I. Cirac

We propose a real space renormalization group method to explicitly decouple into independent components a many-body system that, as in the phenomenon of spin-charge separation, exhibits separation of degrees of freedom at low energies. Our…

量子物理 · 物理学 2014-06-11 Glen Evenbly , Guifre Vidal

The Affleck-Kennedy-Lieb-Tasaki (AKLT) spin interacting model can be defined on an arbitrary graph. We explain the construction of the AKLT Hamiltonian. Given certain conditions, the ground state is unique and known as the…

量子物理 · 物理学 2008-11-06 Ying Xu , Vladimir E Korepin