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Quantum annealing of the random transverse-field Ising model in one, two, and three dimensions — arXiv:2610.11411

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.11411
License (as archived): CC0-1.0
Archived: 2026-10-09T06:39:25.917Z
SHA-256 of the archived text: 70ca840a3b230b90a9bf3a2d0060be23fb790d61c1f152b1e14d1cff44be4764
Stable URL of this page: https://metraipolis.com/documento/dc_e2b439d4f528

How to cite

Quantum annealing of the random transverse-field Ising model in one, two, and three dimensions — arXiv:2610.11411 — arXiv (en), https://arxiv.org/abs/2610.11411 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_e2b439d4f528 (Metraipolis archive dc_e2b439d4f528, sha256 70ca840a3b230b90a9bf3a2d0060be23fb790d61c1f152b1e14d1cff44be4764)

BibTeX

@misc{dce2b439d4f528,
  title = {Quantum annealing of the random transverse-field Ising model in one, two, and three dimensions — arXiv:2610.11411},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.11411},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_e2b439d4f528; sha256 70ca840a3b230b90a9bf3a2d0060be23fb790d61c1f152b1e14d1cff44be4764},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.11411. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Quantum annealing must be sufficiently slow to prevent defect formation. We study this problem in the random transverse-field Ising model via the adiabatic theorem to obtain the limiting rate at which defect formation can be avoided. Our approach based on the strong-disorder renormalization group (SDRG) technique views the annealing process as a gradual aggregation of strongly coupled clusters, giving access to the elementary events of error formation. We present a scaling theory of the statistics of these events in general dimensions and confront it to an extensive numerical analysis carried out in one, two, and three dimensions by an efficient implementation of the SDRG method. This approach is also validated by exact diagonalization in one dimension by means of the free-fermion technique. Our results consistently show a logarithmically slow decrease of the error density with the annealing time, characterized by the dimension-dependent critical exponents of the corresponding infinite-disorder fixed point of the model. Furthermore, we provide a map of individual events of potential defect formation in the excitation energy - control parameter plane, which may help in the design of optimal annealing paths.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Statistical Mechanics (cond-mat.stat-mech) ; Disordered Systems and Neural Networks (cond-mat.dis-nn); Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2610.11411 — 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 2026-10-09T05:58:47.115Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).