{ "id": "quant-ph/0506197", "version": "v3", "published": "2005-06-23T17:45:37.000Z", "updated": "2006-02-01T11:47:04.000Z", "title": "Estimating the spectrum of a density matrix with LOCC", "authors": [ "Manuel A. Ballester" ], "comment": "12 pages, uses iopart.cls and iopart10.clo. Improved version. v3: Reference updated, added journal reference", "journal": "J. Phys. A: Math. Gen. 39 (2006) 1645-1656", "doi": "10.1088/0305-4470/39/7/009", "categories": [ "quant-ph" ], "abstract": "The problem of estimating the spectrum of a density matrix is considered. Other problems, such as bipartite pure state entanglement, can be reduced to spectrum estimation. A local operations and classical communication (LOCC) measurement strategy is shown which is asymptotically optimal. This means that, for a very large number of copies, it becomes unnecessary to perform collective measurements which should be more difficult to implement in practice.", "revisions": [ { "version": "v3", "updated": "2006-02-01T11:47:04.000Z" } ], "analyses": { "keywords": [ "density matrix", "bipartite pure state entanglement", "estimating", "local operations", "large number" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2006, "month": "Feb", "volume": 39, "number": 7, "pages": 1645 }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006JPhA...39.1645B" } } }