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Spectral Core-Tail Architecture for Locally Certified Gibbs-State Preparation — arXiv:2609.09291

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.09291
License (as archived): CC0-1.0
Archived: 2026-10-16T11:20:53.108Z
SHA-256 of the archived text: 72783134406f114591aa9acca757a6c216a38b756e1f692d7a85b51b1418cf36
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How to cite

Spectral Core-Tail Architecture for Locally Certified Gibbs-State Preparation — arXiv:2609.09291 — arXiv (en), https://arxiv.org/abs/2609.09291 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_672ca2cfab14 (Metraipolis archive dc_672ca2cfab14, sha256 72783134406f114591aa9acca757a6c216a38b756e1f692d7a85b51b1418cf36)

BibTeX

@misc{dc672ca2cfab14,
  title = {Spectral Core-Tail Architecture for Locally Certified Gibbs-State Preparation — arXiv:2609.09291},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.09291},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_672ca2cfab14; sha256 72783134406f114591aa9acca757a6c216a38b756e1f692d7a85b51b1418cf36},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.09291. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Preparing a quantum Gibbs state requires reproducing both its thermal distribution and the associated many-body eigenspaces. In this work, we formalize the spectral core-tail architecture (SCTA) as a framework comprising a structured thermal core, a geometrically characterized unitary tail, and an exact residual measuring the remaining core-frame Hamiltonian mismatch. We derive a local Gibbs-state error bound separating core-preparation, tail-implementation, and modeling errors. The modeling contribution is volume uniform when its Kubo-Mori response meets the shell summability condition and the relevant local data remain uniform. We then highlight three anchor Hamiltonian classes which admit exact core-tail constructions with zero residuals. For small deformations of an exact anchor, we employ a Schrieffer-Wolff reduction procedure to construct a corrected core-tail pair that formally removes the deformation order by order. Under uniform locality and solvability assumptions, we show that the first-order reduction yields a residual that remains bounded and is quadratic in the deformation strength. Furthermore, we numerically test the first-order reduction on deformed graph-stabilizer Hamiltonians. The numerical results show approximately quadratic suppression of both the Hamiltonian-level mismatch and the local Gibbs-state error in the perturbative regime. We also find that the constructed correction circuit structure remains useful as a variational ansatz beyond perturbative control, often improving on both the bare and prescribed first-order states.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-10 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.09291 — 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 2026-10-16T11:00:36.162Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-10?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).