mlsanityData to 14 Oct 2026

Flow-Based Sampling for Entanglement Entropy and the Machine Learning of Defects

arXiv 2410.14466 ↗First posted 18 Oct 2024quant-ph cond-mat.stat-mech cs.LGcited by 13

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Abstract (arXiv)

We introduce a novel technique to numerically calculate R'enyi entanglement entropies in lattice quantum field theory using generative models. We describe how flow-based approaches can be combined with the replica trick using a custom neural-network architecture around a lattice defect connecting two replicas. Numerical tests for the φ4 scalar field theory in two and three dimensions demonstrate that our technique outperforms state-of-the-art Monte Carlo calculations, and exhibit a promising scaling with the defect size.

Key facts. Cited by 13 papers in the map (data through 14 Oct 2026). Builds on 3 of its 20 references that are in the map. First posted on arXiv 18 Oct 2024.

Builds on

3 of 20 references.

References · 3

  1. 2022Aspects of scaling and scalability for flow-based sampling of lattice QCDcited by 26
  2. 2023Advances in machine-learning-based sampling motivated by lattice quantum chromodynamicscited by 23
  3. 2024Practical applications of machine-learned flows on gauge fieldscited by 6

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2024: 1; 2025: 7; 2026: 5.

13 papers.

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  1. 2025Multilevel Generative Samplers for Investigating Critical Phenomenacited by 6
  2. 2025Scaling flow-based approaches for topology sampling in SU(3) gauge theorycited by 6
  3. 2025Aspects of holographic entanglement using physics-informed-neural-networkscited by 5
  4. 2025SESaMo: Symmetry-Enforcing Stochastic Modulation for Normalizing Flowscited by 2
  5. 2025Estimation of the reduced density matrix and entanglement entropies using autoregressive networkscited by 2
  6. 2026Toward Scalable Normalizing Flows for the Hubbard Modelcited by 2
  7. 2025Simulating the Hubbard Model with Equivariant Normalizing Flowscited by 1
  8. 2026A scalable flow-based approach to mitigate topological freezingcited by 1
  9. 2024Stochastic normalizing flows for Effective String Theorycited by 0
  10. 2025Studying Effective String Theory using deep generative modelscited by 0
  11. 2026Machine learning for four-dimensional SU(3) lattice gauge theoriescited by 0
  12. 2026Variational Autoregressive Networks with probability priorscited by 0
1 more
  1. 2026Nonequilibrium Dynamics of Simple Exclusion Processes Across Dimensionscited by 0