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A lower bound on the fidelity between two states in terms of their trace-distance and max-relative entropy (1409.3688v3)

Published 12 Sep 2014 in quant-ph, math-ph, and math.MP

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-norm distance and their max-relative entropy.

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