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Implications of the PXP ground-state sign structure for neural-network variational Monte Carlo — arXiv:2611.00603

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.00603
License (as archived): CC0-1.0
Archived: 2026-11-03T19:00:52.479Z
SHA-256 of the archived text: 4f838725a295562157f29770a196a63b07a89ca7ccdbf00adcecf7b41180ce6c
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How to cite

Implications of the PXP ground-state sign structure for neural-network variational Monte Carlo — arXiv:2611.00603 — arXiv (en), https://arxiv.org/abs/2611.00603 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_fca0f742829b (Metraipolis archive dc_fca0f742829b, sha256 4f838725a295562157f29770a196a63b07a89ca7ccdbf00adcecf7b41180ce6c)

BibTeX

@misc{dcfca0f742829b,
  title = {Implications of the PXP ground-state sign structure for neural-network variational Monte Carlo — arXiv:2611.00603},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.00603},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_fca0f742829b; sha256 4f838725a295562157f29770a196a63b07a89ca7ccdbf00adcecf7b41180ce6c},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.00603. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Positive-definite neural-network quantum states cannot directly represent the ground state of the PXP Hamiltonian, since the ground-state wavefunction carries a nontrivial relative-sign structure. Building on the chiral symmetry of the PXP Hamiltonian, we show that this sign structure is fixed exactly by the parity of the total up-spin number: a diagonal unitary transformation that assigns a sign to each spin configuration according to this parity maps the PXP Hamiltonian to its negative, rendering the transformed Hamiltonian stoquastic on the Rydberg-blockaded Hilbert space. Since the configuration graph of allowed configurations is connected, the Perron-Frobenius theorem guarantees a unique, strictly positive ground state of the transformed Hamiltonian, yielding an exact sign rule for the ground state of the original Hamiltonian in terms of the parity of the up-spin number. Variational Monte Carlo performed directly on the transformed Hamiltonian with a positive-definite ansatz therefore requires no architecture-specific modification to represent the true ground state. We evaluate the performance of this formulation using five representative neural-network quantum state architectures, SineKAN, reflection-symmetrized SineKAN, RBM, MLP, and LSTM, for different chain lengths.

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/2611.00603 — 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 2026-11-03T18:19:52.762Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).