{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T18:39:32Z","timestamp":1775155172609,"version":"3.50.1"},"reference-count":126,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,6,11]],"date-time":"2022-06-11T00:00:00Z","timestamp":1654905600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Special Project for Research and Development in key areas of the Guangdong Province","award":["No. 2020B0303300001"],"award-info":[{"award-number":["No. 2020B0303300001"]}]},{"name":"Special Project for Research and Development in key areas of the Guangdong Province","award":["No. U21A20434"],"award-info":[{"award-number":["No. U21A20434"]}]},{"name":"Special Project for Research and Development in key areas of the Guangdong Province","award":["No. 12074346"],"award-info":[{"award-number":["No. 12074346"]}]},{"name":"Special Project for Research and Development in key areas of the Guangdong Province","award":["No. 12074390"],"award-info":[{"award-number":["No. 12074390"]}]},{"name":"Special Project for Research and Development in key areas of the Guangdong Province","award":["No. 11835011"],"award-info":[{"award-number":["No. 11835011"]}]},{"name":"Special Project for Research and Development in key areas of the Guangdong Province","award":["No. 11734018"],"award-info":[{"award-number":["No. 11734018"]}]},{"name":"Special Project for Research and Development in key areas of the Guangdong Province","award":["No. 212300410085"],"award-info":[{"award-number":["No. 212300410085"]}]},{"name":"National Natural Science Foundation of China","award":["No. 2020B0303300001"],"award-info":[{"award-number":["No. 2020B0303300001"]}]},{"name":"National Natural Science Foundation of China","award":["No. U21A20434"],"award-info":[{"award-number":["No. U21A20434"]}]},{"name":"National Natural Science Foundation of China","award":["No. 12074346"],"award-info":[{"award-number":["No. 12074346"]}]},{"name":"National Natural Science Foundation of China","award":["No. 12074390"],"award-info":[{"award-number":["No. 12074390"]}]},{"name":"National Natural Science Foundation of China","award":["No. 11835011"],"award-info":[{"award-number":["No. 11835011"]}]},{"name":"National Natural Science Foundation of China","award":["No. 11734018"],"award-info":[{"award-number":["No. 11734018"]}]},{"name":"National Natural Science Foundation of China","award":["No. 212300410085"],"award-info":[{"award-number":["No. 212300410085"]}]},{"name":"Natural Science Foundation of Henan Province","award":["No. 2020B0303300001"],"award-info":[{"award-number":["No. 2020B0303300001"]}]},{"name":"Natural Science Foundation of Henan Province","award":["No. U21A20434"],"award-info":[{"award-number":["No. U21A20434"]}]},{"name":"Natural Science Foundation of Henan Province","award":["No. 12074346"],"award-info":[{"award-number":["No. 12074346"]}]},{"name":"Natural Science Foundation of Henan Province","award":["No. 12074390"],"award-info":[{"award-number":["No. 12074390"]}]},{"name":"Natural Science Foundation of Henan Province","award":["No. 11835011"],"award-info":[{"award-number":["No. 11835011"]}]},{"name":"Natural Science Foundation of Henan Province","award":["No. 11734018"],"award-info":[{"award-number":["No. 11734018"]}]},{"name":"Natural Science Foundation of Henan Province","award":["No. 212300410085"],"award-info":[{"award-number":["No. 212300410085"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Information thermodynamics has developed rapidly over past years, and the trapped ions, as a controllable quantum system, have demonstrated feasibility to experimentally verify the theoretical predictions in the information thermodynamics. Here, we address some representative theories of information thermodynamics, such as the quantum Landauer principle, information equality based on the two-point measurement, information-theoretical bound of irreversibility, and speed limit restrained by the entropy production of system, and review their experimental demonstration in the trapped ion system. In these schemes, the typical physical processes, such as the entropy flow, energy transfer, and information flow, build the connection between thermodynamic processes and information variation. We then elucidate the concrete quantum control strategies to simulate these processes by using quantum operators and the decay paths in the trapped-ion system. Based on them, some significantly dynamical processes in the trapped ion system to realize the newly proposed information-thermodynamic models is reviewed. Although only some latest experimental results of information thermodynamics with a single trapped-ion quantum system are reviewed here, we expect to find more exploration in the future with more ions involved in the experimental systems.<\/jats:p>","DOI":"10.3390\/e24060813","type":"journal-article","created":{"date-parts":[[2022,6,11]],"date-time":"2022-06-11T09:33:26Z","timestamp":1654940006000},"page":"813","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Verification of Information Thermodynamics in a Trapped Ion System"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7851-5288","authenticated-orcid":false,"given":"Lei-Lei","family":"Yan","sequence":"first","affiliation":[{"name":"School of Physics, Zhengzhou University, Zhengzhou 450001, China"}]},{"given":"Lv-Yun","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Physics, Zhengzhou University, Zhengzhou 450001, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2153-5827","authenticated-orcid":false,"given":"Shi-Lei","family":"Su","sequence":"additional","affiliation":[{"name":"School of Physics, Zhengzhou University, Zhengzhou 450001, China"}]},{"given":"Fei","family":"Zhou","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy of Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8652-6086","authenticated-orcid":false,"given":"Mang","family":"Feng","sequence":"additional","affiliation":[{"name":"School of Physics, Zhengzhou University, Zhengzhou 450001, China"},{"name":"State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy of Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China"},{"name":"Department of Physics, Zhejiang Normal University, Jinhua 321004, China"},{"name":"Research Center for Quantum Precision Measurement, Guangzhou Institute of Industry Technology, Guangzhou 511458, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1103\/RevModPhys.81.1","article-title":"Colloquium: The physics of Maxwell\u2019s demon and information","volume":"81","author":"Maruyama","year":"2009","journal-title":"Rev. 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