{ "id": "0909.1087", "version": "v3", "published": "2009-09-06T15:30:57.000Z", "updated": "2010-02-28T07:22:05.000Z", "title": "Entropic characterization of Separability in Gaussian states", "authors": [ "Sudha Shenoy", "A. R. Usha Devi", "A. K. Rajagopal" ], "comment": "4 pages, 3 figures; Brief version of the earlier paper; Journal references added", "journal": "PHYSICAL REVIEW A 81, 024303 (2010)", "categories": [ "quant-ph" ], "abstract": "We explore separability of bipartite divisions of mixed Gaussian states based on the positivity of the Abe-Rajagopal (AR) q-conditional entropy. The AR q-conditional entropic characterization provide more stringent restrictions on separability (in the limit q tending to infinity) than that obtained from the corresponding von Neumann conditional entropy (q = 1 case)--similar to the situation in finite dimensional states. Effectiveness of this approach, in relation to the results obtained by partial transpose criterion, is explicitly analyzed in three illustrative examples of two-mode Gaussian states of physical significance.", "revisions": [ { "version": "v3", "updated": "2010-02-28T07:22:05.000Z" } ], "analyses": { "keywords": [ "separability", "ar q-conditional entropic characterization", "corresponding von neumann conditional entropy", "finite dimensional states", "partial transpose criterion" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0909.1087S" } } }