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

TL;DR

This paper establishes a lower bound on quantum fidelity based on the Bures distance, enhancing the understanding of state similarity measures in quantum information theory.

Contribution

It provides a novel lower bound on quantum fidelity expressed through the Bures distance, complementing existing inequalities.

Findings

Derived a new lower bound on quantum fidelity

Connected fidelity with Bures distance in a novel way

Improves bounds used in quantum information analysis

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.