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Revisiting the equality conditions of the data-processing inequality for the sandwiched Rényi divergence

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  • ETH Zurich

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Original languageEnglish
Article number052203
JournalJournal of mathematical physics
Volume63
Issue number5
Publication statusPublished - 20 May 2022
Externally publishedYes

Abstract

We provide a transparent, simple, and unified treatment of recent results on the equality conditions for the data-processing inequality of the sandwiched quantum Rényi divergence, including the statement that the equality in the data-processing implies recoverability via the Petz recovery map for the full range of the Rényi parameter α recently proven by Jenčová [J. Phys. A: Math. Theor. 50, 085303 (2017)]. We also obtain a new set of equality conditions, generalizing a previous result by Leditzky et al. [Lett. Math. Phys. 107, 61 (2017)].

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Revisiting the equality conditions of the data-processing inequality for the sandwiched Rényi divergence. / Wang, Jinzhao; Wilming, Henrik.
In: Journal of mathematical physics, Vol. 63, No. 5, 052203, 20.05.2022.

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