A lower bound on the fidelity between two states in terms of their trace-distance and max-relative entropy
Lin Zhang, Kaifeng Bu, Junde Wu · Linear and Multilinear Algebra · 2015
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-distance and their max-relative entropy.