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

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 Bures distance.

5 pages, LaTeX, we have corrected some errors appearing in the original manuscript. We have partially fixed the gap in the proof of the previous versions. A new method towards the conjectured inequality in the present version is being expected