24 citations · 24 across the 1 of their papers we have counts for
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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…
Quantum Rényi and -divergences from integral representations
Christoph Hirche, Marco Tomamichel
Smooth Csiszár -divergences can be expressed as integrals over so-called hockey stick divergences. This motivates a natural quantum generalization in terms of quantum Hockey st…
Channel Simulation: Finite Blocklengths and Broadcast Channels
Michael X. Cao, Navneeth Ramakrishnan, Mario Berta +1
We study channel simulation under common randomness assistance in the finite-blocklength regime and identify the smooth channel max-information as a linear program one-shot convers…
Entanglement monogamy via multivariate trace inequalities
Mario Berta, Marco Tomamichel
Entropy is a fundamental concept in quantum information theory that allows to quantify entanglement and investigate its properties, for example its monogamy over multipartite syste…