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