Revisiting the equality conditions of the data-processing inequality for the sandwiched Renyi divergence
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2022-05
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Journal Article
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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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63 (5)
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52203
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American Institute of Physics
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03781 - Renner, Renato / Renner, Renato
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