Yu-Cheng Bao

Sharp Data-Processing Region for Quantum Conditional R\'enyi Entropies

We study the three-parameter family of quantum conditional R\'enyi entropies $H_{\alpha,z}^\lambda$ introduced in \textit{Commun. Math. Phys.} 407, 180 (2026). We prove that the previously established data-processing region is sharp. We then characterize the club-sandwiched family through a classical coarse-graining pr...