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Capacity estimation and verification of quantum channels with arbitrarily correlated errors
Corsin Pfister, M. Adriaan Rol, Atul Mantri +2
One of the main figures of merit for quantum memories and quantum communication devices is their quantum capacity. It has been studied for arbitrary kinds of quantum channels, but…
Generalized Log-Majorization and Multivariate Trace Inequalities
Fumio Hiai, Robert Koenig, Marco Tomamichel
We show that recent multivariate generalizations of the Araki-Lieb-Thirring inequality and the Golden-Thompson inequality [Sutter, Berta, and Tomamichel, Comm. Math. Phys. (2016)]…
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…
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…
Converse bounds for private communication over quantum channels
Mark M. Wilde, Marco Tomamichel, Mario Berta
This paper establishes several converse bounds on the private transmission capabilities of a quantum channel. The main conceptual development builds firmly on the notion of a priva…