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Partially smoothed information measures
Anurag Anshu, Mario Berta, Rahul Jain +1
Smooth entropies are a tool for quantifying resource trade-offs in (quantum) information theory and cryptography. In typical bi- and multi-partite problems, however, some of the su…
On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
Mario Berta, Fernando G. S. L. Brandão, Gilad Gour +4
We show that the proof of the generalised quantum Stein's lemma [Brandão & Plenio, Commun. Math. Phys. 295, 791 (2010)] is not correct due to a gap in the argument leading to Lemm…
Mixed-state additivity properties of magic monotones based on quantum relative entropies for single-qubit states and beyond
Roberto Rubboli, Ryuji Takagi, Marco Tomamichel
We prove that the stabilizer fidelity is multiplicative for the tensor product of an arbitrary number of single-qubit states. We also show that the relative entropy of magic become…
Error exponent of activated non-signaling assisted classical-quantum channel coding
Aadil Oufkir, Marco Tomamichel, Mario Berta
We provide a tight asymptotic characterization of the error exponent for classical-quantum channel coding assisted by activated non-signaling correlations. Namely, we find that the…
Continuity of entropies via integral representations
Mario Berta, Ludovico Lami, Marco Tomamichel
We show that Frenkel's integral representation of the quantum relative entropy provides a natural framework to derive continuity bounds for quantum information measures. Our main g…