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Efficient thermalization of one-dimensional noncommuting Hamiltonians via system-bath interactions with $Θ(n)$ ancilla qubits — arXiv:2611.03422

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.03422
License (as archived): CC0-1.0
Archived: 2026-11-03T19:02:34.663Z
SHA-256 of the archived text: 5105c0004d28cb87e407bc08e40e7dd56887fede328b44a286188fd9bf35bf37
Stable URL of this page: https://metraipolis.com/documento/dc_30ee6df80609

How to cite

Efficient thermalization of one-dimensional noncommuting Hamiltonians via system-bath interactions with $Θ(n)$ ancilla qubits — arXiv:2611.03422 — arXiv (en), https://arxiv.org/abs/2611.03422 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_30ee6df80609 (Metraipolis archive dc_30ee6df80609, sha256 5105c0004d28cb87e407bc08e40e7dd56887fede328b44a286188fd9bf35bf37)

BibTeX

@misc{dc30ee6df80609,
  title = {Efficient thermalization of one-dimensional noncommuting Hamiltonians via system-bath interactions with $Θ(n)$ ancilla qubits — arXiv:2611.03422},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.03422},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_30ee6df80609; sha256 5105c0004d28cb87e407bc08e40e7dd56887fede328b44a286188fd9bf35bf37},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.03422. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We prove rapid convergence of a system-bath interaction algorithm for preparing Gibbs states of one-dimensional noncommuting Hamiltonians at every fixed positive temperature. For a chain of $n$ qudits of local dimension $2^q$ with bounded nearest-neighbor interactions, the algorithm prepares the Gibbs state from any initial state to trace-norm error $0<\varepsilon\le1/2$ in expected total Hamiltonian evolution time $\widetilde{O}(n/\varepsilon)$. This improves the previously proved $\widetilde{O}(n^6/\varepsilon)$ bound for single-ancilla system-bath Gibbs samplers, up to logarithmic factors. The proposed algorithm couples $4^q-1$ resettable bath qubits to each site in parallel and randomizes the interaction time. Our analysis bounds both the one-round approximation error and the stationarity defect of an approximate stationary state in Gibbs-weighted $L^2$ norms, with only linear dependence on the system size. It also uses the dephasing induced by randomized evolution to control the extensive Lamb shift without treating it as a small perturbation of the dissipative dynamics.

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/2611.03422 — 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 2026-11-03T18:19:52.853Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).