{ "id": "0909.5152", "version": "v1", "published": "2009-09-28T17:33:40.000Z", "updated": "2009-09-28T17:33:40.000Z", "title": "Local unitary equivalence of multipartite pure states", "authors": [ "B. Kraus" ], "comment": "5 pages", "journal": "Phys. Rev. Lett. 104, 020504 (2010)", "categories": [ "quant-ph" ], "abstract": "Necessary and sufficient conditions for the equivalence of arbitrary n-qubit pure quantum states under Local Unitary (LU) operations are derived. First, an easily computable standard form for multipartite states is introduced. Two generic states are shown to be LU-equivalent iff their standard forms coincide. The LU-equivalence problem for non--generic states is solved by presenting a systematic method to determine the LU operators (if they exist) which interconvert the two states.", "revisions": [ { "version": "v1", "updated": "2009-09-28T17:33:40.000Z" } ], "analyses": { "subjects": [ "03.67.-a", "03.65.Ud" ], "keywords": [ "multipartite pure states", "local unitary equivalence", "arbitrary n-qubit pure quantum states", "standard forms coincide", "multipartite states" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "doi": "10.1103/PhysRevLett.104.020504", "year": 2010, "month": "Jan", "volume": 104, "number": 2, "pages": "020504" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010PhRvL.104b0504K" } } }