{ "id": "0911.4270", "version": "v2", "published": "2009-11-22T19:12:25.000Z", "updated": "2010-07-28T16:34:05.000Z", "title": "Entanglement and non-Markovianity of quantum evolutions", "authors": [ "Ángel Rivas", "Susana F. Huelga", "Martin B. Plenio" ], "comment": "5 pages, 3 figures, final version", "journal": "Phys. Rev. Lett. 105, 050403 (2010)", "doi": "10.1103/PhysRevLett.105.050403", "categories": [ "quant-ph", "math-ph", "math.MP" ], "abstract": "We address the problem of quantifying the non-Markovian character of quantum time-evolutions of general systems in contact with an environment. We introduce two different measures of non-Markovianity that exploit the specific traits of quantum correlations and are suitable for opposite experimental contexts. When complete tomographic knowledge about the evolution is available, our measure provides a necessary and sufficient condition to quantify strictly the non-Markovianity. In the opposite case, when no information whatsoever is available, we propose a sufficient condition for non-Markovianity. Remarkably, no optimization procedure underlies our derivation, which greatly enhances the practical relevance of the proposed criteria.", "revisions": [ { "version": "v2", "updated": "2010-07-28T16:34:05.000Z" } ], "analyses": { "subjects": [ "03.65.Ta", "03.65.Ud", "03.65.Yz", "42.50.Lc" ], "keywords": [ "quantum evolutions", "non-markovianity", "entanglement", "sufficient condition", "opposite experimental contexts" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2010, "month": "Jul", "volume": 105, "number": 5, "pages": "050403" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvL.105e0403R" } } }