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