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Open Quantum Systems Decoherence
Revisiting the equality conditions of the data processing inequality for the sandwiched Rényi divergence
arXiv
Authors: Jinzhao Wang, Henrik Wilming
Year
2020
Paper ID
20325
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
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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 (DPI) of the sandwiched quantum Rényi divergence, including the statement that equality in the data processing implies recoverability via the Petz recovery map for the full range of α recently proven by Jen\v cová. We also obtain a new set of equality conditions, generalizing a previous result by Leditzky et al.
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- We provide a transparent, simple and unified treatment of recent results on the equality conditions for the data processing inequality (DPI) of the sandwiched quantum Rényi...
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