{"date_created":"2018-12-11T11:57:13Z","volume":71,"publist_id":"4564","intvolume":"        71","oa":1,"year":"2005","publisher":"American Physical Society","status":"public","title":"Stronger subadditivity of entropy","quality_controlled":0,"author":[{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"day":"01","publication":"Physical Review A - Atomic, Molecular, and Optical Physics","doi":"10.1103/PhysRevA.71.062329","type":"journal_article","date_updated":"2021-01-12T06:57:01Z","month":"06","issue":"6","date_published":"2005-06-01T00:00:00Z","extern":1,"publication_status":"published","citation":{"ama":"Lieb É, Seiringer R. Stronger subadditivity of entropy. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2005;71(6). doi:<a href=\"https://doi.org/10.1103/PhysRevA.71.062329\">10.1103/PhysRevA.71.062329</a>","ista":"Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 71(6).","apa":"Lieb, É., &#38; Seiringer, R. (2005). Stronger subadditivity of entropy. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevA.71.062329\">https://doi.org/10.1103/PhysRevA.71.062329</a>","chicago":"Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society, 2005. <a href=\"https://doi.org/10.1103/PhysRevA.71.062329\">https://doi.org/10.1103/PhysRevA.71.062329</a>.","short":"É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).","mla":"Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 6, American Physical Society, 2005, doi:<a href=\"https://doi.org/10.1103/PhysRevA.71.062329\">10.1103/PhysRevA.71.062329</a>.","ieee":"É. Lieb and R. Seiringer, “Stronger subadditivity of entropy,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 6. American Physical Society, 2005."},"abstract":[{"text":"The strong subadditivity of entropy plays a key role in several areas of physics and mathematics. It states that the entropy S[±]=- Tr(ϱlnϱ) of a density matrix ϱ123 on the product of three Hilbert spaces satisfies S[ϱ123]- S[ϱ12]≤S[ϱ23]-S[ϱ2]. We strengthen this to S[ϱ123]-S[ϱ12] ≤αnα(S[ϱ23α]-S[ϱ2α]), where the nα are weights and the ϱ23α are partitions of ϱ23. Correspondingly, there is a strengthening of the theorem that the map A|Trexp[L+lnA] is concave. As applications we prove some monotonicity and convexity properties of the Wehrl coherent state entropy and entropy inequalities for quantum gases.","lang":"eng"}],"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0412009"}],"_id":"2361"}