{ "id": "quant-ph/0108034", "version": "v2", "published": "2001-08-08T10:19:53.000Z", "updated": "2001-08-12T07:15:49.000Z", "title": "Schmidt number of pure states in bipartite quantum systems as an algebraic-geometric invariant", "authors": [ "Hao Chen" ], "comment": "8 pages, no figure, minor changes in v2", "categories": [ "quant-ph" ], "abstract": "Our previous work about algebraic-geometric invariants of the mixed states are extended and a stronger separability criterion is given. We also show that the Schmidt number of pure states in bipartite quantum systems, a classical concept, is actually an algebraic-geometric invariant.", "revisions": [ { "version": "v2", "updated": "2001-08-12T07:15:49.000Z" } ], "analyses": { "keywords": [ "bipartite quantum systems", "algebraic-geometric invariant", "pure states", "schmidt number", "stronger separability criterion" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2001quant.ph..8034C" } } }