{ "id": "1301.6005", "version": "v1", "published": "2013-01-25T10:45:49.000Z", "updated": "2013-01-25T10:45:49.000Z", "title": "Entropic uncertainty relation for pointer-based simultaneous measurements of conjugate observables", "authors": [ "Raoul Heese", "Matthias Freyberger" ], "journal": "Phys. Rev. A 87, 012123 (2013)", "doi": "10.1103/PhysRevA.87.012123", "categories": [ "quant-ph" ], "abstract": "We present a family of entropic uncertainty relations for pointer-based simultaneous measurements of conjugate observables. The lower bounds of these relations explicitly incorporate the influence of the measurement apparatus. We achieve this by using a mathematical theorem which states that the information entropy of convoluted probability distributions is bound from below. As a consequence of these results we can straightforwardly show that appropriately squeezed states are minimal entropy states for simultaneous measurements.", "revisions": [ { "version": "v1", "updated": "2013-01-25T10:45:49.000Z" } ], "analyses": { "subjects": [ "03.65.Ta", "89.70.Cf" ], "keywords": [ "entropic uncertainty relation", "pointer-based simultaneous measurements", "conjugate observables", "minimal entropy states", "measurement apparatus" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review A", "year": 2013, "month": "Jan", "volume": 87, "number": 1, "pages": "012123" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvA..87a2123H" } } }