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Monotonicity of quantum relative entropy and recoverability
Mario Berta, Marius Lemm, Mark M. Wilde
The relative entropy is a principal measure of distinguishability in quantum information theory, with its most important property being that it is non-increasing with respect to no…
Rényi squashed entanglement, discord, and relative entropy differences
Kaushik P. Seshadreesan, Mario Berta, Mark M. Wilde
In [Berta et al., J. Math. Phys. 56, 022205 (2015)], we recently proposed Renyi generalizations of the conditional quantum mutual information of a tripartite state on (with $…
Smooth Entropy Bounds on One-Shot Quantum State Redistribution
Mario Berta, Matthias Christandl, Dave Touchette
In quantum state redistribution as introduced in [Luo and Devetak (2009)] and [Devetak and Yard (2008)], there are four systems of interest: the system held by Alice, the s…
Quantum-proof randomness extractors via operator space theory
Mario Berta, Omar Fawzi, Volkher B. Scholz
Quantum-proof randomness extractors are an important building block for classical and quantum cryptography as well as device independent randomness amplification and expansion. Fur…
Renyi generalizations of the conditional quantum mutual information
Mario Berta, Kaushik P. Seshadreesan, Mark M. Wilde
The conditional quantum mutual information of a tripartite state is an information quantity which lies at the center of many problems in quantum information th…
Variations on Classical and Quantum Extractors
Mario Berta, Omar Fawzi, Volkher B. Scholz +1
Many constructions of randomness extractors are known to work in the presence of quantum side information, but there also exist extractors which do not [Gavinsky {\it et al.}, STOC…