{ "id": "0911.5174", "version": "v2", "published": "2009-11-26T23:33:04.000Z", "updated": "2010-01-24T10:59:03.000Z", "title": "Unified $(r,s)$-relative entropy", "authors": [ "Wang Jiamei", "Wu Junde" ], "categories": [ "math-ph", "math.MP" ], "abstract": "In this paper, we introduce and study unified $(r,s)$-relative entropy and quantum unified $(r,s)$-relative entropy, in particular, our main results of quantum unified $(r,s)$-relative entropy are established on the separable complex Hilbert spaces. Moreover, the entanglement-measure of states due to the quantum unified $(r,s)$-relative entropy is considered, too. Our results improved a uncorrect statement on the monotone property of entanglement-measure function.", "revisions": [ { "version": "v2", "updated": "2010-01-24T10:59:03.000Z" } ], "analyses": { "keywords": [ "relative entropy", "separable complex hilbert spaces", "uncorrect statement", "main results" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0911.5174J" } } }