arXiv:1409.3688 · Linear and Multilinear Algebra

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

Published Jul 6, 2015• 7 citations

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-distance and their max-relative entropy.

DOI: 10.1080/03081087.2015.1057098

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