8 papers · 1 filter
Hockey stick -divergences
Fumio Hiai, Milán Mosonyi, Marco Tomamichel
In this paper we give a systematic and unified treatment and extensions of various results on a new notion of quantum -divergences defined from quantum hockey stick divergences,…
Quantum conditional entropies from convex trace functionals
Roberto Rubboli, Milad M. Goodarzi, Marco Tomamichel
We study geometric properties of trace functionals that generalize those in [Zhang, Adv. Math. 365:107053 (2020)], arising from a novel family of conditional entropies with applica…
Additivity of quantum relative entropies as a single-copy criterion
Salman Beigi, Roberto Rubboli, Marco Tomamichel
The fundamental goal of information theory is to characterize complex operational tasks using efficiently computable information quantities, Shannon's capacity formula being the pr…
Conditions for Large-Sample Majorization of Pairs of Flat States in Terms of -z Relative Entropies
Frits Verhagen, Marco Tomamichel, Erkka Haapasalo
We offer the first operational interpretation of the -z relative entropies, a measure of distinguishability between two quantum states introduced by JakÅ¡iÄ et al. and Audenae…
A Unified Approach to Quantum Contraction and Correlation Coefficients
Ian George, Marco Tomamichel
The maximal correlation coefficient measures the linear correlation in a bipartite distribution and contraction coefficients measure how much information is lost under a noisy chan…
Projections with Respect to Bures Distance and Fidelity: Closed-Forms and Applications
A. Afham, Marco Tomamichel
We derive simple and unified closed-form expressions for projections with respect to fidelity (equivalently, the Bures and purified distances) onto several sets of interest. These…