{ "id": "1409.3688", "version": "v1", "published": "2014-09-12T09:30:51.000Z", "updated": "2014-09-12T09:30:51.000Z", "title": "A lower bound on the fidelity between two states in terms of their trace-distance and max-relative entropy", "authors": [ "Lin Zhang", "Kaifeng Bu" ], "comment": "6 pages, no figure, any comments are welcome!", "categories": [ "quant-ph", "math-ph", "math.MP" ], "abstract": "Fidelity is a fundamental and ubiquitous concept in quantum information theory. Fuchs-van de Graaf's inequalities deal with bounding fidelity from above and below. In this paper, we give a lower bound on the quantum fidelity between two states in terms of their trace-norm distance and their max-relative entropy.", "revisions": [ { "version": "v1", "updated": "2014-09-12T09:30:51.000Z" } ], "analyses": { "keywords": [ "lower bound", "max-relative entropy", "trace-distance", "quantum information theory", "graafs inequalities deal" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1409.3688Z" } } }