{ "id": "2008.13063", "version": "v1", "published": "2020-08-29T21:52:31.000Z", "updated": "2020-08-29T21:52:31.000Z", "title": "Maximal singlet fraction vs. maximal achievable fidelity as proper entanglement measures", "authors": [ "Hermann L. Albrecht Q.", "Douglas F. Mundarain" ], "comment": "8 pages, 8 figures", "categories": [ "quant-ph" ], "abstract": "We review some parametric families of 2-qubit states for which concurrence and maximal singlet fraction (MSF) have different and even opposite behaviour. For states considered in this work, maximal achievable fidelity (MAF), a quantity derived by Verstraete and Verschelde in 2003, shows a better agreement with concurrence and complies with important features required to be considered a good entanglement measure.", "revisions": [ { "version": "v1", "updated": "2020-08-29T21:52:31.000Z" } ], "analyses": { "subjects": [ "81P40", "81P42", "81S22" ], "keywords": [ "maximal singlet fraction", "maximal achievable fidelity", "proper entanglement measures", "parametric families", "better agreement" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }