{ "id": "1608.02675", "version": "v1", "published": "2016-08-09T02:11:04.000Z", "updated": "2016-08-09T02:11:04.000Z", "title": "Measurement-Device-Independent Approach to Entanglement Measures", "authors": [ "Farid Shahandeh", "Timothy C. Ralph" ], "comment": "6 pages, 2 figures", "categories": [ "quant-ph" ], "abstract": "Within the context of semiquantum nonlocal games, the trust can be removed from the measurement devices in an entanglement-detection procedure. Here we show that a similar approach can be taken to quantify the amount of entanglement. To be specific, first, we prove that in this context a single arbitrary game from a suitable subclass of semiquantum nonlocal games is necessary and sufficient for entanglement detection in the LOCC paradigm. Second, we prove that the pay-off of this game is a universal measure of entanglement which is convex and continuous. Importantly, our measure is operationally accessible in a measurement-device independent way by construction. Finally, we show that our approach can be simply extended to quantify the entanglement within any partitioning of multipartite quantum states.", "revisions": [ { "version": "v1", "updated": "2016-08-09T02:11:04.000Z" } ], "analyses": { "keywords": [ "entanglement measures", "measurement-device-independent approach", "semiquantum nonlocal games", "multipartite quantum states", "measurement-device independent way" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }