{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,19]],"date-time":"2025-12-19T15:50:44Z","timestamp":1766159444142,"version":"build-2065373602"},"reference-count":46,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2024,6,30]],"date-time":"2024-06-30T00:00:00Z","timestamp":1719705600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"FCT\u2014Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia (Portugal)","doi-asserted-by":"publisher","award":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"],"award-info":[{"award-number":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"name":"PRIN","award":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"],"award-info":[{"award-number":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"]}]},{"name":"European Union\u2013Next Generation EU","award":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"],"award-info":[{"award-number":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"]}]},{"DOI":"10.13039\/501100001871","name":"FCT","doi-asserted-by":"publisher","award":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"],"award-info":[{"award-number":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"name":"FCT\/MCTES-Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia (Portugal)","award":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"],"award-info":[{"award-number":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"]}]},{"name":"EU funds","award":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"],"award-info":[{"award-number":["SFRH\/BD\/145572\/2019","2022FEXLYB","PE0000023-NQSTI","UIDB\/04540\/2020","UIDB\/50008\/2020","2021.03707.CEECIND\/CP1653\/CT0002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The metrological limits of thermometry operated in nonequilibrium dynamical regimes are analyzed. We consider a finite-dimensional quantum system, employed as a quantum thermometer, in contact with a thermal bath inducing Markovian thermalization dynamics. The quantum thermometer is initialized in a generic quantum state, possibly including quantum coherence with respect to the Hamiltonian basis. We prove that the precision of the thermometer, quantified by the Quantum Fisher Information, is enhanced by the quantum coherence in its initial state. We analytically show this in the specific case of qubit thermometers for which the maximization of the Quantum Fisher Information occurs at a finite time during the transient thermalization dynamics. Such a finite-time precision enhancement can be better than the precision that is achieved asymptotically.<\/jats:p>","DOI":"10.3390\/e26070568","type":"journal-article","created":{"date-parts":[[2024,7,2]],"date-time":"2024-07-02T09:01:39Z","timestamp":1719910899000},"page":"568","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Coherence-Enhanced Single-Qubit Thermometry out of Equilibrium"],"prefix":"10.3390","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3976-3382","authenticated-orcid":false,"given":"Gon\u00e7alo","family":"Fraz\u00e3o","sequence":"first","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal"},{"name":"Instituto de Telecomunica\u00e7\u00f5es, 1049-001 Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1850-340X","authenticated-orcid":false,"given":"Marco","family":"Pezzutto","sequence":"additional","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal"},{"name":"Physics of Information and Quantum Technologies Group, Centro de F\u00edsica e Engenharia de Materiais Avan\u00e7ados (CeFEMA), 1049-001 Lisboa, Portugal"},{"name":"PQI\u2014Portuguese Quantum Institute, 1600-531 Lisboa, Portugal"},{"name":"Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche (CNR-INO), Largo Enrico Fermi 6, I-50125 Firenze, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2333-5762","authenticated-orcid":false,"given":"Yasser","family":"Omar","sequence":"additional","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Universidade de Lisboa, 1049-001 Lisboa, Portugal"},{"name":"Physics of Information and Quantum Technologies Group, Centro de F\u00edsica e Engenharia de Materiais Avan\u00e7ados (CeFEMA), 1049-001 Lisboa, Portugal"},{"name":"PQI\u2014Portuguese Quantum Institute, 1600-531 Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3418-9131","authenticated-orcid":false,"given":"Emmanuel","family":"Zambrini Cruzeiro","sequence":"additional","affiliation":[{"name":"Instituto de Telecomunica\u00e7\u00f5es, 1049-001 Lisboa, Portugal"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9254-507X","authenticated-orcid":false,"given":"Stefano","family":"Gherardini","sequence":"additional","affiliation":[{"name":"Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche (CNR-INO), Largo Enrico Fermi 6, I-50125 Firenze, Italy"},{"name":"European Laboratory for Non-Linear Spectroscopy, Universit\u00e0 di Firenze, I-50019 Sesto Fiorentino, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,6,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"303001","DOI":"10.1088\/1751-8121\/ab2828","article-title":"Thermometry in the quantum regime: Recent theoretical progress","volume":"52","author":"Mehboudi","year":"2010","journal-title":"J. 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