{ "id": "1104.4886", "version": "v2", "published": "2011-04-26T10:44:58.000Z", "updated": "2011-07-14T10:35:59.000Z", "title": "Quantum measurements on finite dimensional systems: relabeling and mixing", "authors": [ "Erkka Haapasalo", "Teiko Heinosaari", "Juha-Pekka Pellonpää" ], "comment": "one new section in v2", "journal": "Quantum Inf. Process. (2012) 11:1751--1763", "doi": "10.1007/s11128-011-0330-2", "categories": [ "quant-ph" ], "abstract": "Concentrating on finite dimensional systems, we show that one can limit to extremal rank-1 POVMs if two simple procedures of mixing and relabeling are permitted. We demonstrate that any finite outcome POVM can be obtained from extremal rank-1 POVMs with these two procedures. In particular, extremal POVMs with higher rank are just relabelings of extremal rank-1 POVMs and their structure is therefore clarified.", "revisions": [ { "version": "v2", "updated": "2011-07-14T10:35:59.000Z" } ], "analyses": { "keywords": [ "finite dimensional systems", "quantum measurements", "relabeling", "finite outcome povm", "simple procedures" ], "tags": [ "journal article" ], "publication": { "journal": "Quantum Information Processing", "year": 2012, "month": "Dec", "volume": 11, "number": 6, "pages": 1751 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012QuIP...11.1751H" } } }