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Neutral-atom quantum features as complementary structural encodings for graph learning — arXiv:2611.08821

Source
arXiv (en)
Original
https://arxiv.org/abs/2611.08821
License (as archived)
CC0-1.0
Archived
2026-11-09T22:48:04.775Z
SHA-256 of the archived text
eac909766259a622822944e2265c3d43637ae7b6b292e13cf0368f0f042e9607
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https://metraipolis.com/documento/dc_4e3db63fc70d

How to cite

Neutral-atom quantum features as complementary structural encodings for graph learning — arXiv:2611.08821 — arXiv (en), https://arxiv.org/abs/2611.08821 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_4e3db63fc70d (Metraipolis archive dc_4e3db63fc70d, sha256 eac909766259a622822944e2265c3d43637ae7b6b292e13cf0368f0f042e9607)
BibTeX
@misc{dc4e3db63fc70d,
  title = {Neutral-atom quantum features as complementary structural encodings for graph learning — arXiv:2611.08821},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.08821},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_4e3db63fc70d; sha256 eac909766259a622822944e2265c3d43637ae7b6b292e13cf0368f0f042e9607},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.08821. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Structural descriptors provide graph neural networks (GNNs) with positional and topological inductive biases. However, widely used classical encodings based on random walks or Laplacian spectra emphasize specific structural statistics of a graph, leaving room for alternative descriptors. Neutral-atom quantum processing units (QPUs) can realize graph-dependent Rydberg Hamiltonians, allowing graph topology to be probed through dynamical correlation measurements. In this work, we use these measurements as quantum graph features (QGFs), providing a complementary, hardware-derived family of structural encoding that is not accurately described by classical features derived from Laplacian and adjacency matrices, even when supplemented with an extended set of random-walk, geometric descriptors and classical physical models. By appropriately selecting the quench parameters of the Hamiltonian, we access two characteristic correlation regimes with distinct structural signatures: antiferromagnetic-like and ferromagnetic-like. On an intrinsic information benchmark of 15 topological and spectral probing tasks, quantum and hybrid quantum-classical features match or surpass classical descriptors on local topological properties. When supplied to message-passing, attention, and graph-transformer backbones, hybrid quantum-classical features yield improvements that are within cross-fold noise on most cells but sign-consistent across architectures. When comparing noiseless, shot-sampled emulation-derived quantum features with a neutral-atom QPU implementation, the downstream hybrid results with compressed hardware features match their emulated counterparts within $0.01$ F$_1$ on all backbones. On a synthetic family of ladder graphs, QGFs distinguish two specific classes, outperforming the strongest classical structural descriptors by a margin exceeding cross-fold variability.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2611.08821 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-09T22:42:14.905Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).