{ "id": "1002.1949", "version": "v1", "published": "2010-02-09T19:34:08.000Z", "updated": "2010-02-09T19:34:08.000Z", "title": "Numerical studies of entangled PPT states in composite quantum systems", "authors": [ "Jon Magne Leinaas", "Jan Myrheim", "Per Oyvind Sollid" ], "comment": "18 pages, 4 figures", "journal": "Phys. Rev. A 81, 062329 (2010)", "doi": "10.1103/PhysRevA.81.062330", "categories": [ "quant-ph" ], "abstract": "We report here on the results of numerical searches for PPT states with specified ranks for density matrices and their partial transpose. The study includes several bipartite quantum systems of low dimensions. For a series of ranks extremal PPT states are found. The results are listed in tables and charted in diagrams. Comparison of the results for systems of different dimensions reveal several regularities. We discuss lower and upper bounds on the ranks of extremal PPT states.", "revisions": [ { "version": "v1", "updated": "2010-02-09T19:34:08.000Z" } ], "analyses": { "keywords": [ "composite quantum systems", "entangled ppt states", "numerical studies", "ranks extremal ppt states", "bipartite quantum systems" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1002.1949M" } } }