{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T00:43:52Z","timestamp":1778546632679,"version":"3.51.4"},"reference-count":48,"publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","license":[{"start":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T00:00:00Z","timestamp":1773100800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["quantum-journal.org"],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"\n We investigate the performance of an adiabatic evolution protocol when initialized from a Gibbs state at finite temperature. Specifically, we identify the diagonality of the final state in the energy eigenbasis, as well as the difference in energy and in energy variance with respect to the ideal adiabatic limit as key benchmarks for success and introduce metrics to quantify the off-diagonal contributions. Provided these benchmarks converge to their ideal adiabatic values, we argue that thermal expectation values of observables can be recovered, in accordance with the eigenstate thermalization hypothesis. For the transverse-field Ising model, we analytically establish that these benchmarks converge polynomially in both the quasi-adiabatic evolution time\n \n T<\/mml:mi>\n <\/mml:math>\n and system size. We perform numerical studies on non-integrable systems and find close quantitative agreement for the off-diagonality metrics, along with qualitatively similar behavior in the energy convergence.\n <\/jats:p>","DOI":"10.22331\/q-2026-03-10-2018","type":"journal-article","created":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T14:06:10Z","timestamp":1773151570000},"page":"2018","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Quasi-Adiabatic Processing of Thermal States"],"prefix":"10.22331","volume":"10","author":[{"given":"Reinis","family":"Irmejs","sequence":"first","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Stra\u00dfe 1, D-85748 Garching, Germany"},{"name":"Munich Center for Quantum Science and Technology (MCQST), Schellingstra\u00dfe 4, D-80799 Munich, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mari Carmen","family":"Ba\u00f1uls","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Stra\u00dfe 1, D-85748 Garching, Germany"},{"name":"Munich Center for Quantum Science and Technology (MCQST), Schellingstra\u00dfe 4, D-80799 Munich, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. Ignacio","family":"Cirac","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik, Hans-Kopfermann-Stra\u00dfe 1, D-85748 Garching, Germany"},{"name":"Munich Center for Quantum Science and Technology (MCQST), Schellingstra\u00dfe 4, D-80799 Munich, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"9598","published-online":{"date-parts":[[2026,3,10]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"Google Quantum AI et al. ``Quantum error correction below the surface code threshold''. Nature 638, 920 (2024).","DOI":"10.1038\/s41586-024-08449-y"},{"key":"1","doi-asserted-by":"publisher","unstructured":"Minzhao Liu, Ruslan Shaydulin, Pradeep Niroula, Matthew DeCross, Shih-Han Hung, Wen Yu Kon, Enrique Cervero-Mart\u00edn, Kaushik Chakraborty, Omar Amer, Scott Aaronson, Atithi Acharya, Yuri Alexeev, K. Jordan Berg, Shouvanik Chakrabarti, Florian J. Curchod, Joan M. 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