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...
M. M. Goodarzi, Yu-Cheng Bao, Marco Tomamichel· 0 citations
We study the problems of quantum state certification, equivalence testing and independence testing. In certification, given samples of an unknown quantum state $\rho$ and the description of a state $\sigma$, the goal is to test whether $\rho=\sigma$, or whether $\rho$ and $\sigma$ are far in a given distance measure. I...
Jan Seyfried, Sayantan Sen, Marco Tomamichel· 0 citations
We ask whether non-signaling correlations shared between the sender and receiver can increase the R\'enyi capacity of a classical channel. Non-signaling boxes form a strictly larger class than that of encoder and decoder pairs assisted by shared randomness, so the usual argument based on independent preprocessing and p...
Tina Shariat, Matt Hoogsteder-Riera, Marco Tomamichel· 0 citations
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