{"date_created":"2021-08-30T10:07:44Z","title":"Complete gradient estimates of quantum Markov semigroups","page":"761–791","quality_controlled":"1","ec_funded":1,"oa_version":"Published Version","volume":387,"file":[{"date_created":"2021-09-08T07:34:24Z","file_id":"9990","content_type":"application/pdf","checksum":"8a602f916b1c2b0dc1159708b7cb204b","file_name":"2021_CommunMathPhys_Wirth.pdf","date_updated":"2021-09-08T09:46:34Z","file_size":505971,"relation":"main_file","creator":"cchlebak","access_level":"open_access"}],"article_processing_charge":"Yes (via OA deal)","publication":"Communications in Mathematical Physics","project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"publication_identifier":{"eissn":["1432-0916"],"issn":["0010-3616"]},"department":[{"_id":"JaMa"}],"status":"public","publisher":"Springer Nature","intvolume":"       387","doi":"10.1007/s00220-021-04199-4","author":[{"id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","orcid":"0000-0002-0519-4241","first_name":"Melchior","full_name":"Wirth, Melchior","last_name":"Wirth"},{"first_name":"Haonan","last_name":"Zhang","full_name":"Zhang, Haonan","id":"D8F41E38-9E66-11E9-A9E2-65C2E5697425"}],"type":"journal_article","has_accepted_license":"1","license":"https://creativecommons.org/licenses/by/4.0/","publication_status":"published","date_published":"2021-08-30T00:00:00Z","file_date_updated":"2021-09-08T09:46:34Z","year":"2021","oa":1,"article_type":"original","ddc":["621"],"_id":"9973","abstract":[{"lang":"eng","text":"In this article we introduce a complete gradient estimate for symmetric quantum Markov semigroups on von Neumann algebras equipped with a normal faithful tracial state, which implies semi-convexity of the entropy with respect to the recently introduced noncommutative 2-Wasserstein distance. We show that this complete gradient estimate is stable under tensor products and free products and establish its validity for a number of examples. As an application we prove a complete modified logarithmic Sobolev inequality with optimal constant for Poisson-type semigroups on free group factors."}],"month":"08","isi":1,"language":[{"iso":"eng"}],"scopus_import":"1","citation":{"apa":"Wirth, M., &#38; Zhang, H. (2021). Complete gradient estimates of quantum Markov semigroups. <i>Communications in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00220-021-04199-4\">https://doi.org/10.1007/s00220-021-04199-4</a>","mla":"Wirth, Melchior, and Haonan Zhang. “Complete Gradient Estimates of Quantum Markov Semigroups.” <i>Communications in Mathematical Physics</i>, vol. 387, Springer Nature, 2021, pp. 761–791, doi:<a href=\"https://doi.org/10.1007/s00220-021-04199-4\">10.1007/s00220-021-04199-4</a>.","chicago":"Wirth, Melchior, and Haonan Zhang. “Complete Gradient Estimates of Quantum Markov Semigroups.” <i>Communications in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00220-021-04199-4\">https://doi.org/10.1007/s00220-021-04199-4</a>.","short":"M. Wirth, H. Zhang, Communications in Mathematical Physics 387 (2021) 761–791.","ama":"Wirth M, Zhang H. Complete gradient estimates of quantum Markov semigroups. <i>Communications in Mathematical Physics</i>. 2021;387:761–791. doi:<a href=\"https://doi.org/10.1007/s00220-021-04199-4\">10.1007/s00220-021-04199-4</a>","ieee":"M. Wirth and H. Zhang, “Complete gradient estimates of quantum Markov semigroups,” <i>Communications in Mathematical Physics</i>, vol. 387. Springer Nature, pp. 761–791, 2021.","ista":"Wirth M, Zhang H. 2021. Complete gradient estimates of quantum Markov semigroups. Communications in Mathematical Physics. 387, 761–791."},"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"day":"30","date_updated":"2023-08-11T11:09:07Z","external_id":{"isi":["000691214200001"],"arxiv":["2007.13506"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","acknowledgement":"Both authors would like to thank Jan Maas for fruitful discussions and helpful comments."}