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We investigate the gauging of higher-form finite Abelian symmetries and their sub-groups in quantum spin models in spatial dimensions $d=2$ and 3. Doing so, we naturally uncover gauged models with dual higher-group symmetries and potential…

Strongly Correlated Electrons · Physics 2025-03-19 Heidar Moradi , Ömer M. Aksoy , Jens H. Bardarson , Apoorv Tiwari

We study compression strategies for multipartite entanglement distribution under uncertainty in the partitioning of the quantum state. When the partition is not known at the time of state preparation, we show that a joint design of the…

The entanglement entropy of the ground state of a quantum lattice model with local interactions usually satisfies an area law. However, in 1D systems some violations may appear in inhomogeneous systems or in random systems. In our…

Quantum Physics · Physics 2018-05-08 Giovanni Ramírez

Quantifying how much a quantum state breaks a symmetry is essential for characterizing phases, nonequilibrium dynamics, and open-system behavior. Quantum resource theory provides a rigorous operational framework to define and characterize…

High Energy Physics - Theory · Physics 2026-04-07 Yuya Kusuki , Sridip Pal , Hiroyasu Tajima

In open quantum systems, we directly relate anomalies of higher-form symmetries to the long-range entanglement of any mixed state with such symmetries. First, we define equivalence classes of long-range entanglement in mixed states via…

Quantum Physics · Physics 2025-03-18 Leonardo A. Lessa , Shengqi Sang , Tsung-Cheng Lu , Timothy H. Hsieh , Chong Wang

The notion of entanglement of quantum states is usually defined with respect to a fixed bipartition. Indeed, a global basis change can always map an entangled state to a separable one. The situation is however different when considering a…

Quantum Physics · Physics 2021-06-02 Yu Cai , Baichu Yu , Pooja Jayachandran , Nicolas Brunner , Valerio Scarani , Jean-Daniel Bancal

Entanglement in quantum many-body systems is typically fragile to interactions with the environment. Generic unital quantum channels, for example, have the maximally mixed state with no entanglement as their unique steady state. However, we…

Quantum Physics · Physics 2025-01-13 Amin Moharramipour , Leonardo A. Lessa , Chong Wang , Timothy H. Hsieh , Subhayan Sahu

We present universal characteristics of quantum entanglement and topology through virtual entanglement modes that fluctuate into existence in subsystem measurements. For generic interacting systems and extensive conserved quantities, these…

Quantum Physics · Physics 2022-06-15 Kim Pöyhönen , Ali G. Moghaddam , Teemu Ojanen

We compute universal finite corrections to entanglement entropy for generalised quantum Lifshitz models in arbitrary odd spacetime dimensions. These are generalised free field theories with Lifshitz scaling symmetry, where the dynamical…

High Energy Physics - Theory · Physics 2019-09-04 J. Angel-Ramelli , V. Giangreco M. Puletti , L. Thorlacius

The emergence of a diverging length scale in many-body systems at a quantum phase transition implies that total entanglement has to reach its maximum there. In order to fully characterize this, one has to consider multipartite entanglement…

Quantum Physics · Physics 2017-01-25 Abolfazl Bayat

One of the essential features of quantum mechanics is that most pairs of observables cannot be measured simultaneously. This phenomenon is most strongly manifested when observables are related to mutually unbiased bases. In this paper, we…

Quantum Physics · Physics 2015-05-27 M. Wiesniak , T. Paterek , A. Zeilinger

We define a polynomial measure of multiparticle entanglement which is scalable, i.e., which applies to any number of spin-1/2 particles. By evaluating it for three particle states, for eigenstates of the one dimensional Heisenberg…

Quantum Physics · Physics 2015-06-26 David A. Meyer , Nolan R. Wallach

In order to understand quantum decoherence of a quantum system due to its interaction with a large system behaving classically, we introduce the concept of adiabatic quantum entanglement based on the Born-Oppenhemeir approximation. In the…

Quantum Physics · Physics 2019-08-17 C. P. Sun , D. L. Zhou , S. Yu , X. F. Liu

Entanglement is the powerful and enigmatic resource central to quantum information processing, which promises capabilities in computing, simulation, secure communication, and metrology beyond what is possible for classical devices. Exactly…

In the context of characterizing the structure of quantum entanglement in many-body systems, we introduce the entanglement contour, a tool to identify which real-space degrees of freedom contribute, and how much, to the entanglement of a…

Strongly Correlated Electrons · Physics 2016-11-25 Yangang Chen , Guifre Vidal

The interplay between symmetries and entanglement in out-of-equilibrium quantum systems is currently at the centre of an intense multidisciplinary research effort. Here we introduce a setting where these questions can be characterised…

Statistical Mechanics · Physics 2025-02-07 Alessandro Foligno , Pasquale Calabrese , Bruno Bertini

Our current understanding of quantum chaos in many-body quantum systems hinges on the random matrix theory(RMT) behavior of eigenstates and their energy level statistics. Although RMT has been remarkably successful in describing `coarse'…

Statistical Mechanics · Physics 2025-08-05 Christopher M. Langlett , Joaquin F. Rodriguez-Nieva

We present general results for one-dimensional systems of point charges (signed point measures) on the line with a translation invariant distribution $\mu$ for which the variance of the total charge in an interval is uniformly bounded…

Mathematical Physics · Physics 2007-05-23 M. Aizenman , S. Goldstein , J. L. Lebowitz

The distribution of entanglement of typical multiparty quantum states is not uniform over the range of the measure utilized for quantifying the entanglement. We intend to find the response to disorder in the state parameters on this…

Quantum Physics · Physics 2022-12-29 George Biswas , Anindya Biswas , Ujjwal Sen

Hilbert space fragmentation refers to exponential growth in the number of dynamically disconnected Krylov sectors with system size. It is taken as evidence of ergodicity breaking, since conventional symmetries generate at most a polynomial…

High Energy Physics - Lattice · Physics 2026-04-15 Thea Budde , Marina Kristć Marinković , Joao C. Pinto Barros