{"date_updated":"2023-08-07T13:34:48Z","article_type":"original","publication_status":"published","issue":"3","publication":"Advances in Mathematics","main_file_link":[{"url":"https://arxiv.org/abs/1910.10447","open_access":"1"}],"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>.","ista":"Virosztek D. 2021. The metric property of the quantum Jensen-Shannon divergence. Advances in Mathematics. 380(3), 107595.","short":"D. Virosztek, Advances in Mathematics 380 (2021).","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>.","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>"},"article_processing_charge":"No","abstract":[{"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.","lang":"eng"}],"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.","doi":"10.1016/j.aim.2021.107595","keyword":["General Mathematics"],"ec_funded":1,"publisher":"Elsevier","publication_identifier":{"issn":["0001-8708"]},"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","project":[{"call_identifier":"H2020","_id":"26A455A6-B435-11E9-9278-68D0E5697425","grant_number":"846294","name":"Geometric study of Wasserstein spaces and free probability"}],"status":"public","month":"03","department":[{"_id":"LaEr"}],"type":"journal_article","article_number":"107595","intvolume":"       380","title":"The metric property of the quantum Jensen-Shannon divergence","quality_controlled":"1","date_created":"2021-01-22T17:55:17Z","external_id":{"arxiv":["1910.10447"],"isi":["000619676100035"]},"volume":380,"oa":1,"date_published":"2021-03-26T00:00:00Z","day":"26","year":"2021","isi":1,"language":[{"iso":"eng"}],"_id":"9036","oa_version":"Preprint","author":[{"last_name":"Virosztek","id":"48DB45DA-F248-11E8-B48F-1D18A9856A87","first_name":"Daniel","full_name":"Virosztek, Daniel","orcid":"0000-0003-1109-5511"}]}