{ "id": "0809.1932", "version": "v5", "published": "2008-09-11T10:23:18.000Z", "updated": "2009-04-06T00:41:39.000Z", "title": "Entanglement Measures for Intermediate Separability of Quantum States", "authors": [ "Tsubasa Ichikawa", "Toshihiko Sasaki", "Izumi Tsutsui" ], "comment": "8 pages, 8 figures", "journal": "Phys. Rev. A79 (2009) 052307", "doi": "10.1103/PhysRevA.79.052307", "categories": [ "quant-ph" ], "abstract": "We present a family of entanglement measures R_m which act as indicators for separability of n-qubit quantum states into m subsystems for arbitrary 2 \\leq m \\leq n. The measure R_m vanishes if the state is separable into m subsystems, and for m = n it gives the Meyer-Wallach measure while for m = 2 it reduces, in effect, to the one introduced recently by Love et al. The measures R_m are evaluated explicitly for the GHZ state and the W state (and its modifications, the W_k states) to show that these globally entangled states exhibit rather distinct behaviors under the measures, indicating the utility of the measures R_m for characterizing globally entangled states as well.", "revisions": [ { "version": "v5", "updated": "2009-04-06T00:41:39.000Z" } ], "analyses": { "subjects": [ "03.67.Mn", "03.65.Ta", "03.65.Ud" ], "keywords": [ "entanglement measures", "intermediate separability", "globally entangled states", "n-qubit quantum states", "subsystems" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2009, "month": "May", "volume": 79, "number": 5, "pages": "052307" }, "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009PhRvA..79e2307I" } } }