{ "id": "1706.07941", "version": "v1", "published": "2017-06-24T11:26:27.000Z", "updated": "2017-06-24T11:26:27.000Z", "title": "A new coherence measure based on fidelity", "authors": [ "C. L. Liu", "Da-Jian Zhang", "Xiao-Dong Yu", "Qi-Ming Ding", "Longjiang Liu" ], "comment": "10 pages Accepted by Quantum Information Processing", "categories": [ "quant-ph" ], "abstract": "Quantifying coherence is an essential endeavor for both quantum foundations and quantum technologies. In this paper, we put forward a quantitative measure of coherence by following the axiomatic definition of coherence measures introduced in [T. Baumgratz, M. Cramer, and M. B. Plenio, Phys. Rev. Lett. 113, 140401 (2014)]. Our measure is based on fidelity and analytically computable for arbitrary states of a qubit. As one of its applications, we show that our measure can be used to examine whether a pure qubit state can be transformed into another pure or mixed qubit state only by incoherent operations.", "revisions": [ { "version": "v1", "updated": "2017-06-24T11:26:27.000Z" } ], "analyses": { "keywords": [ "coherence measure", "pure qubit state", "incoherent operations", "essential endeavor", "quantum foundations" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }