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• W2743143071 abstract "Quantum generalizations of Renyi's entropies are a useful tool to describe a variety of operational tasks in quantum information processing. Two families of such generalizations turn out to be particularly useful: the Petz quantum Renyi divergence D α and the minimal quantum Renyi divergence D α . In this paper, we prove a reverse Araki-Lieb-Thirring inequality that implies a new relation between these two families of divergences, namely that αD α (ρ‖σ) for α ∊ [0, 1] and where ρ and σ are density operators. This bound suggests defining a “pretty good fidelity”, whose relation to the usual fidelity implies the known relations between the optimal and pretty good measurement as well as the optimal and pretty good singlet fraction." @default.
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• W2743143071 date "2017-06-01" @default.
• W2743143071 modified "2023-09-27" @default.
• W2743143071 title "Pretty good measures in quantum information theory" @default.
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• W2743143071 doi "https://doi.org/10.1109/isit.2017.8007119" @default.
• W2743143071 hasPublicationYear "2017" @default.
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