Skip to content
DraconiticResearch
Search Sources API
203,203 studies31 sourcesUpdated 1 h ago
Peer-reviewedCC BY 4.0SciPost Physics

Detecting symmetry-resolved entanglement: A quantum Monte Carlo approach

  • Kuangjie Chen1,2
  • Weizhen Jia3
  • Xiaopeng Li1,4,2,5
  • René Meyer6,7,8
  • Jiarui Zhao3
8 affiliations
  1. 1Fudan University
  2. 2Shanghai Artificial Intelligence Laboratory
  3. 3Chinese University of Hong Kong
  4. 4Hefei National Laboratory
  5. 5Shanghai Research Center for Quantum Sciences
  6. 6Shanghai Institute for Mathematics and Interdisciplinary Sciences
  7. 7University of Würzburg
  8. 8Würzburg-Dresden Cluster of Excellence
Open at sourcePDFDOICite

Abstract

Symmetry and entanglement are two fundamental concepts in quantum many-body physics. Their interplay is captured by symmetry-resolved entanglement, which decomposes the total entanglement into contributions from different symmetry sectors. Computing symmetry-resolved entanglement in strongly interacting higher-dimensional quantum systems remains challenging. Here, we formulate and implement an estimator-based quantum Monte Carlo (QMC) framework for computing symmetry-resolved Rényi entropies (SRRE) in sign-problem-free interacting lattice systems by measuring disorder (symmetry-twisted) operators in ordinary and replica ensembles and reconstructing SRRE from the corresponding charged moments. We validate the framework in two controlled one-dimensional settings: the transverse-field Ising model (TFIM), for which exact conformal-field-theory predictions are available, and the interacting Heisenberg chain, which tests the U(1) U ( 1 ) symmetry-sector reconstruction and its finite-size behavior. We then apply the method to the two-dimensional TFIM. Within the accessible system sizes and a phenomenological finite-size extrapolation, our data provide numerical evidence consistent with entanglement equipartition at the (2+1) ( 2 + 1 ) D Ising critical point. Our work establishes a practical numerical route to symmetry-resolved entanglement in interacting lattice models and provides a framework for future studies beyond one dimension.

Related

  1. Symmetry-resolved quasilocal entanglement as a key to Mott and pseudogap physics in plaquette CDMFT
    Gabriele Bellomia, Carlos Mejuto-Zaera, Massimo Capone +1
    HALPreprintCC BY 4.0Full textCondensed matterQuantum physics & quantum informationHALarXiv
  2. Symmetry resolved entanglement in Schwinger pair production
    Wajid Joyia, S. M. Al-Marzoug, Amaria Javed
    arXivPreprintarXiv licenceFull textOptics & photonicsQuantum physics & quantum informationarXiv
  3. Symmetry-Resolved Second Harmonic Generation in Quantum and Functional Materials
    Xiaoyu Guo, Chang Jae Roh, Youngjun Ahn
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  4. Quantum chaos and late-time equipartition of symmetry-resolved Krylov complexity
    Jayashish Das, Suman Das, Juan F. Pedraza +1
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsQuantum physics & quantum informationarXiv
  5. Lattice Symmetry Remnants in Spatial and Temporal Entanglement of Quantum Critical Spin Chains
    Xiao-Han Yang, Rui-Zhen Huang
    arXivPreprintarXiv licenceFull textCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@article{chen2026detecting,
  title = {{Detecting symmetry-resolved entanglement: A quantum Monte Carlo approach}},
  author = {Kuangjie Chen and Weizhen Jia and Xiaopeng Li and René Meyer and Jiarui Zhao},
  journal = {SciPost Physics},
  year = {2026},
  month = oct,
  doi = {10.21468/scipostphys.21.4.099},
  url = {https://scipost.org/10.21468/SciPostPhys.21.4.099},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Detecting symmetry-resolved entanglement: A quantum Monte Carlo approach
AU  - Kuangjie Chen
AU  - Weizhen Jia
AU  - Xiaopeng Li
AU  - René Meyer
AU  - Jiarui Zhao
PY  - 2026
DA  - 2026/10/21
JO  - SciPost Physics
DO  - 10.21468/scipostphys.21.4.099
UR  - https://scipost.org/10.21468/SciPostPhys.21.4.099
AB  - Symmetry and entanglement are two fundamental concepts in quantum many-body physics. Their interplay is captured by symmetry-resolved entanglement, which decomposes the total entanglement into contributions from different symmetry sectors. Computing symmetry-resolved entanglement in strongly interacting higher-dimensional quantum systems remains challenging. Here, we formulate and implement an estimator-based quantum Monte Carlo (QMC) framework for computing symmetry-resolved Rényi entropies (SRRE) in sign-problem-free interacting lattice systems by measuring disorder (symmetry-twisted) operators in ordinary and replica ensembles and reconstructing SRRE from the corresponding charged moments. We validate the framework in two controlled one-dimensional settings: the transverse-field Ising model (TFIM), for which exact conformal-field-theory predictions are available, and the interacting Heisenberg chain, which tests the U(1) U ( 1 ) symmetry-sector reconstruction and its finite-size behavior. We then apply the method to the two-dimensional TFIM. Within the accessible system sizes and a phenomenological finite-size extrapolation, our data provide numerical evidence consistent with entanglement equipartition at the (2+1) ( 2 + 1 ) D Ising critical point. Our work establishes a practical numerical route to symmetry-resolved entanglement in interacting lattice models and provides a framework for future studies beyond one dimension.
SN  - 2542-4653
ER  -