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Selected Stabilizer Subspaces for Compact Many-Body Wave Functions — arXiv:2610.21907

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.21907
License (as archived): CC0-1.0
Archived: 2026-10-16T10:44:56.476Z
SHA-256 of the archived text: 5724bd710c21afa2117515df1f4e0a158945835a225eddb0f275b5058d3a27de
Stable URL of this page: https://metraipolis.com/documento/dc_48cd4e278865

How to cite

Selected Stabilizer Subspaces for Compact Many-Body Wave Functions — arXiv:2610.21907 — arXiv (en), https://arxiv.org/abs/2610.21907 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_48cd4e278865 (Metraipolis archive dc_48cd4e278865, sha256 5724bd710c21afa2117515df1f4e0a158945835a225eddb0f275b5058d3a27de)

BibTeX

@misc{dc48cd4e278865,
  title = {Selected Stabilizer Subspaces for Compact Many-Body Wave Functions — arXiv:2610.21907},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.21907},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_48cd4e278865; sha256 5724bd710c21afa2117515df1f4e0a158945835a225eddb0f275b5058d3a27de},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.21907. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Selected configuration interaction (SCI) obtains accurate many-body solutions by variationally diagonalising the Hamiltonian in a sparse, iteratively selected set of configurations, but can lose compactness when the target state has broad configurational support. We introduce selected stabilizer interaction (SSI), a fully classical, SCI-inspired method that instead iteratively constructs a nonorthogonal subspace spanned by a systematically enlargeable set of selected stabilizer states. A single stabilizer, generated by Clifford operations, can encode a structured superposition of (possibly exponentially) many configurations, shifting the relevant compression from configurational to stabilizer sparsity. We benchmark ground-state energies, fidelities, superposition degrees and required expansion lengths against exact diagonalization and equivalent SCI schemes for the transverse-field Ising, XXZ Heisenberg, and Hubbard models, finding particularly strong compression from the stabilizer representation in the spin models, and increasing advantage with system size for these systems. The results establish a proof of principle for heuristic selected stabilizer diagonalization, while also identifying particular challenges in symmetry handling and effective exploration of the stabilizer space.

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/2610.21907 — 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 2026-10-16T08:55:37.198Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).