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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…
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 sti…
Chain Rules for Renyi Information Combining
Christoph Hirche, Xinyue Guan, Marco Tomamichel
Bounds on information combining are a fundamental tool in coding theory, in particular when analyzing polar codes and belief propagation. They usually bound the evolution of random…
Fundamental limits on quantum cloning from the no-signalling principle
Yanglin Hu, Marco Tomamichel
The no-cloning theorem is a cornerstone of quantum cryptography. Here we generalize and rederive in a unified framework various upper bounds on the maximum achievable fidelity of p…
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…
Quantum dichotomies and coherent thermodynamics beyond first-order asymptotics
Patryk Lipka-Bartosik, Christopher T. Chubb, Joseph M. Renes +2
We address the problem of exact and approximate transformation of quantum dichotomies in the asymptotic regime, i.e., the existence of a quantum channel mapping $ρ_1^{…