{ "id": "0705.4225", "version": "v1", "published": "2007-05-29T14:16:20.000Z", "updated": "2007-05-29T14:16:20.000Z", "title": "How to detect a possible correlation from the information of a sub-system in quantum mechanical systems", "authors": [ "Gen Kimura", "Hiromichi Ohno", "Hiroyuki Hayashi" ], "comment": "7 pages, 1 figure", "journal": "Phys. Rev. A 76, 042123 (2007)", "doi": "10.1103/PhysRevA.76.042123", "categories": [ "quant-ph" ], "abstract": "A possibility to detect correlations between two quantum mechanical systems only from the information of a subsystem is investigated. For generic cases, we prove that there exist correlations between two quantum systems if the time-derivative of the reduced purity is not zero. Therefore, an experimentalist can conclude non-zero correlations between his/her system and some environment if he/she finds the time-derivative of the reduced purity is not zero. A quantitative estimation of a time-derivative of the reduced purity with respect to correlations is also given. This clarifies the role of correlations in the mechanism of decoherence in open quantum systems.", "revisions": [ { "version": "v1", "updated": "2007-05-29T14:16:20.000Z" } ], "analyses": { "subjects": [ "03.65.Yz", "03.65.Ta" ], "keywords": [ "quantum mechanical systems", "reduced purity", "information", "sub-system", "conclude non-zero correlations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2007, "month": "Oct", "volume": 76, "number": 4, "pages": "042123" }, "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007PhRvA..76d2123K" } } }