A lower bound on the fidelity between two states in terms of their trace-distance and max-relative entropy

2014/09/30 by Lin Zhang, Kaifeng Bu, Junde Wu
Mathematics · Physics and Astronomy · #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1080/03081087.2015.1057098

published as Linear and Multilinear Algebra 64(5), 801-806 (2016) · v1: 6 pages, no figure, any comments are welcome! v2:Some little errors are corrected. The third author is included. v3: Some minor revisions are made. arXiv admin note: text overlap with arXiv:1309.6374

arxiv created 2014/12/02 · arxiv updated 2016/04/06

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.

Citations

• A lower bound on the fidelity between two states in terms of their Bures distance