{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,28]],"date-time":"2026-05-28T01:28:46Z","timestamp":1779931726203,"version":"3.53.1"},"reference-count":31,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In the general framework of      d 1  \u00d7  d 2      mixed states, we derive an explicit bound for bipartite negative partial transpose (NPT) entanglement based on the mixedness characterization of the physical system. The derived result is very general, being based only on the assumption of finite dimensionality. In addition, it turns out to be of experimental interest since some purity-measuring protocols are known. Exploiting the bound in the particular case of thermal entanglement, a way to connect thermodynamic features to the monogamy of quantum correlations is suggested, and some recent results on the subject are given a physically clear explanation.<\/jats:p>","DOI":"10.3390\/e22010062","type":"journal-article","created":{"date-parts":[[2020,1,3]],"date-time":"2020-01-03T04:43:03Z","timestamp":1578026583000},"page":"62","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Bounds on Mixed State Entanglement"],"prefix":"10.3390","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4116-6352","authenticated-orcid":false,"given":"Bruno","family":"Leggio","sequence":"first","affiliation":[{"name":"Laboratoire Reproduction et D\u00e9veloppement des Plantes, Universit\u00e9 de Lyon, ENS de Lyon, UCB Lyon 1, CNRS, INRA, Inria, 69342 Lyon, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Anna","family":"Napoli","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica e Chimica-Emilio Segr\u00e8, Universit\u00e0 degli Studi di Palermo, Via Archirafi 36, I-90123 Palermo, Italy"},{"name":"I.N.F.N. Sezione di Catania, Via Santa Sofia 64, I-95123 Catania, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hiromichi","family":"Nakazato","sequence":"additional","affiliation":[{"name":"Department of Physics, Waseda University, Tokyo 169-8555, Japan"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Antonino","family":"Messina","sequence":"additional","affiliation":[{"name":"I.N.F.N. 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