Recovery and the Data Processing Inequality for Quasi-Entropies

DOI10.1109/TIT.2018.2812038zbMath1401.94067arXiv1710.08080OpenAlexW3103221134MaRDI QIDQ4682961

Anna Vershynina, Eric Anders Carlen

Publication date: 19 September 2018

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08080

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10)

Related Items (13)

Approximate recoverability and relative entropy. II: 2-positive channels of general von Neumann algebras ⋮ Revisiting the equality conditions of the data-processing inequality for the sandwiched Rényi divergence ⋮ A strengthened data processing inequality for the Belavkin–Staszewski relative entropy ⋮ Recoverability of quantum channels via hypothesis testing ⋮ Equality conditions of data processing inequality for α-z Rényi relative entropies ⋮ Quantum divergences with \(p\)-power means ⋮ On quantum quasi-relative entropy ⋮ Approximate recovery and relative entropy. I: General von Neumann subalgebras ⋮ Unnamed Item ⋮ Measure of genuine coherence based of quasi-relative entropy ⋮ Recovery map stability for the data processing inequality ⋮ Closest separable state when measured by a quasi-relative entropy ⋮ Recoverability for optimized quantum f-divergences

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