- Conference Paper
Quantum generalizations of Rényi'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 Rényi divergence D̅ α and the minimal quantum Rényi divergence D̅ 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 αD̅ α (ρ∥σ) ≤ D̅ α (ρ∥σ) for α ϵ [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. Show more
Book title2017 IEEE International Symposium on Information Theory (ISIT)
Pages / Article No.
Organisational unit03781 - Renner, Renato / Renner, Renato
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