[{"_id":"2361","status":"public","type":"journal_article","extern":1,"dini_type":"doc-type:article","citation":{"chicago":"Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2005. https://doi.org/10.1103/PhysRevA.71.062329.","ista":"Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 71(6).","mla":"Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 6, American Physical Society, 2005, doi:10.1103/PhysRevA.71.062329.","apa":"Lieb, É., & Seiringer, R. (2005). Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.71.062329","ieee":"É. Lieb and R. Seiringer, “Stronger subadditivity of entropy,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 6. American Physical Society, 2005.","short":"É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005)."},"date_updated":"2021-01-12T06:57:01Z","publist_id":"4564","author":[{"first_name":"Élliott","last_name":"Lieb"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"abstract":[{"lang":"eng"}],"intvolume":" 71","month":"06","oa":1,"main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/math-ph/0412009"}],"quality_controlled":0,"dc":{"title":["Stronger subadditivity of entropy"],"rights":["info:eu-repo/semantics/openAccess"],"creator":["Lieb, Élliott H","Robert Seiringer"],"type":["info:eu-repo/semantics/article","doc-type:article","text","http://purl.org/coar/resource_type/c_6501"],"publisher":["American Physical Society"],"date":["2005"],"identifier":["https://research-explorer.ista.ac.at/record/2361"],"description":["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."],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.71.062329"],"source":["Lieb É, Seiringer R. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 2005;71(6). doi:10.1103/PhysRevA.71.062329"]},"publication":"Physical Review A - Atomic, Molecular, and Optical Physics","day":"01","publication_status":"published","date_created":"2018-12-11T11:57:13Z","date_published":"2005-06-01T00:00:00Z","volume":71,"issue":"6","uri_base":"https://research-explorer.ista.ac.at"}]