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Deconstruction and conditional erasure of quantum correlations
Mario Berta, Fernando G. S. L. Brandao, Christian Majenz +1
We define the deconstruction cost of a tripartite quantum state on systems as the minimum rate of noise needed to apply to the systems, such that there is negligible dis…
Gaussian hypothesis testing and quantum illumination
Mark M. Wilde, Marco Tomamichel, Seth Lloyd +1
Quantum hypothesis testing is one of the most basic tasks in quantum information theory and has fundamental links with quantum communication and estimation theory. In this paper, w…
Rényi divergences as weighted non-commutative vector valued -spaces
Mario Berta, Volkher B. Scholz, Marco Tomamichel
We show that Araki and Masuda's weighted non-commutative vector valued -spaces [Araki \& Masuda, Publ. Res. Inst. Math. Sci., 18:339 (1982)] correspond to an algebraic general…
Catalytic Decoupling of Quantum Information
Christian Majenz, Mario Berta, Frédéric Dupuis +2
The decoupling technique is a fundamental tool in quantum information theory with applications ranging from quantum thermodynamics to quantum many body physics to the study of blac…
Multivariate Trace Inequalities
David Sutter, Mario Berta, Marco Tomamichel
We prove several trace inequalities that extend the Golden-Thompson and the Araki-Lieb-Thirring inequality to arbitrarily many matrices. In particular, we strengthen Lieb's triple…
Entanglement-assisted capacities of compound quantum channels
Mario Berta, Hrant Gharibyan, Michael Walter
We study universal quantum codes for entanglement-assisted quantum communication over compound quantum channels. In this setting, sender and receiver do not know the specific chann…