{ "id": "1502.04881", "version": "v1", "published": "2015-02-17T13:10:52.000Z", "updated": "2015-02-17T13:10:52.000Z", "title": "Robustness of incompatibility for quantum devices", "authors": [ "Erkka Haapasalo" ], "comment": "25 pages, 4 figures", "categories": [ "quant-ph", "math-ph", "math.MP" ], "abstract": "A robustness measure for incompatibility of quantum devices in the lines of the robustness of entanglement is proposed. The concept of general robustness measures is first introduced in general convex-geometric settings and these ideas are then applied to measure how incompatible a given pair of quantum devices is. The robustness of quantum incompatibility is calculated in three special cases: a pair of Fourier-coupled rank-1 sharp observables, a pair of decodable channels, where decodability means left-invertibility by a channel, and a pair consisting of a rank-1 sharp observable and a decodable channel.", "revisions": [ { "version": "v1", "updated": "2015-02-17T13:10:52.000Z" } ], "analyses": { "keywords": [ "quantum devices", "decodability means left-invertibility", "decodable channel", "general convex-geometric settings", "general robustness measures" ], "publication": { "doi": "10.1088/1751-8113/48/25/255303", "journal": "Journal of Physics A Mathematical General", "year": 2015, "month": "Jun", "volume": 48, "number": 25, "pages": 255303 }, "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015JPhA...48y5303H" } } }