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

2013/09/25 by Lin Zhang, Junde Wu, Zhang, Lin +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Matrix Theory and Algorithms #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1309.6374

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

arxiv created 2014/08/11 · arxiv updated 2014/08/12

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.

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