{"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","language":[{"iso":"eng"}],"quality_controlled":"1","intvolume":"       380","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1910.10447"}],"oa":1,"_id":"9036","volume":380,"author":[{"first_name":"Daniel","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-1109-5511","full_name":"Virosztek, Daniel","last_name":"Virosztek"}],"doi":"10.1016/j.aim.2021.107595","project":[{"call_identifier":"H2020","grant_number":"846294","name":"Geometric study of Wasserstein spaces and free probability","_id":"26A455A6-B435-11E9-9278-68D0E5697425"}],"external_id":{"arxiv":["1910.10447"],"isi":["000619676100035"]},"publication_status":"published","day":"26","publication":"Advances in Mathematics","date_published":"2021-03-26T00:00:00Z","department":[{"_id":"LaEr"}],"oa_version":"Preprint","ec_funded":1,"status":"public","article_type":"original","issue":"3","publisher":"Elsevier","publication_identifier":{"issn":["0001-8708"]},"abstract":[{"lang":"eng","text":"In this short note, we prove that the square root of the quantum Jensen-Shannon divergence is a true metric on the cone of positive matrices, and hence in particular on the quantum state space."}],"year":"2021","acknowledgement":"D. Virosztek was supported by the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 846294, and partially supported by the Hungarian National Research, Development and Innovation Office (NKFIH) via grants no. K124152, and no. KH129601.","date_updated":"2023-08-07T13:34:48Z","month":"03","title":"The metric property of the quantum Jensen-Shannon divergence","keyword":["General Mathematics"],"article_processing_charge":"No","isi":1,"date_created":"2021-01-22T17:55:17Z","article_number":"107595","type":"journal_article","citation":{"mla":"Virosztek, Daniel. “The Metric Property of the Quantum Jensen-Shannon Divergence.” <i>Advances in Mathematics</i>, vol. 380, no. 3, 107595, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.aim.2021.107595\">10.1016/j.aim.2021.107595</a>.","short":"D. Virosztek, Advances in Mathematics 380 (2021).","ista":"Virosztek D. 2021. The metric property of the quantum Jensen-Shannon divergence. Advances in Mathematics. 380(3), 107595.","ama":"Virosztek D. The metric property of the quantum Jensen-Shannon divergence. <i>Advances in Mathematics</i>. 2021;380(3). doi:<a href=\"https://doi.org/10.1016/j.aim.2021.107595\">10.1016/j.aim.2021.107595</a>","ieee":"D. Virosztek, “The metric property of the quantum Jensen-Shannon divergence,” <i>Advances in Mathematics</i>, vol. 380, no. 3. Elsevier, 2021.","apa":"Virosztek, D. (2021). The metric property of the quantum Jensen-Shannon divergence. <i>Advances in Mathematics</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.aim.2021.107595\">https://doi.org/10.1016/j.aim.2021.107595</a>","chicago":"Virosztek, Daniel. “The Metric Property of the Quantum Jensen-Shannon Divergence.” <i>Advances in Mathematics</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.aim.2021.107595\">https://doi.org/10.1016/j.aim.2021.107595</a>."}}