{ "id": "2305.07279", "version": "v1", "published": "2023-05-12T06:48:15.000Z", "updated": "2023-05-12T06:48:15.000Z", "title": "Monogamy of entanglement for tripartite systems", "authors": [ "Xue-Na Zhu", "Gui Bao", "Zhi-Xiang Jin", "Shao-Ming Fei" ], "comment": "6 pages, 2 figures", "journal": "Physical Review A 107, 052404 (2023)", "doi": "10.1103/PhysRevA.107.052404", "categories": [ "quant-ph" ], "abstract": "We study the monogamy of arbitrary quantum entanglement measures $E$ for tripartite quantum systems. Both sufficient and necessary conditions for $E$ to be monogamous in terms of the $\\alpha$th power of $E$ are explicitly derived. It is shown that such monogamy of a entanglement measure $E$ only depends on the boundedness of the solution set of certain equations. Moreover, the monogamy conditions have been also obtained with respect to certain subsets of quantum states for a given quantum correlation. Detailed examples are given to illustrate our results.", "revisions": [ { "version": "v1", "updated": "2023-05-12T06:48:15.000Z" } ], "analyses": { "keywords": [ "tripartite systems", "arbitrary quantum entanglement measures", "tripartite quantum systems", "necessary conditions", "th power" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }