论文标题
重新审视夹心rényiDivergence数据处理不平等的平等条件
Revisiting the equality conditions of the data processing inequality for the sandwiched Rényi divergence
论文作者
论文摘要
我们提供了有关夹杂量子量子的数据处理不平等不平等(DPI)的最新结果的透明,简单和统一的处理,其中包括数据处理中的平等性意味着通过PETZ恢复图的可恢复能力,该图表可恢复性能可恢复到$α$的全部范围,该范围由Jen \VCová提供了$α$。我们还获得了一组新的平等条件,从而概括了Leditzky等人的先前结果。
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.