{ "id": "1310.6603", "version": "v3", "published": "2013-10-24T13:16:25.000Z", "updated": "2014-01-17T02:54:16.000Z", "title": "Noise and disturbance in quantum measurements: an information-theoretic approach", "authors": [ "Francesco Buscemi", "Michael J. W. Hall", "Masanao Ozawa", "Mark M. Wilde" ], "comment": "v3: to appear on PRL (some issues fixed, supplemental material expanded). v2: replaced with submitted version; 5 two-column pages + 6 one-column pages + 3 figures; one issue corrected and few references added. v1: 17 pages, 3 figures", "journal": "Physical Review Letters 112, 050401 (February 2014)", "doi": "10.1103/PhysRevLett.112.050401", "categories": [ "quant-ph" ], "abstract": "We introduce information-theoretic definitions for noise and disturbance in quantum measurements and prove a state-independent noise-disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to previous approaches, the information-theoretic quantities we define are invariant under relabelling of outcomes, and allow for the possibility of using quantum or classical operations to `correct' for the disturbance. We also show how our bound implies strong tradeoff relations for mean square deviations.", "revisions": [ { "version": "v3", "updated": "2014-01-17T02:54:16.000Z" } ], "analyses": { "subjects": [ "03.65.Ta", "03.67.Pp", "05.40.Ca" ], "keywords": [ "quantum measurements", "information-theoretic approach", "bound implies strong tradeoff relations", "state-independent noise-disturbance tradeoff relation", "mean square deviations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review Letters", "year": 2014, "month": "Feb", "volume": 112, "number": 5, "pages": "050401" }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014PhRvL.112e0401B" } } }