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Relating different quantum generalizations of the conditional Renyi entropy
Marco Tomamichel, Mario Berta, Masahito Hayashi
Recently a new quantum generalization of the Renyi divergence and the corresponding conditional Renyi entropies was proposed. Here we report on a surprising relation between condit…
Second-Order Asymptotics for the Classical Capacity of Image-Additive Quantum Channels
Marco Tomamichel, Vincent Y. F. Tan
We study non-asymptotic fundamental limits for transmitting classical information over memoryless quantum channels, i.e. we investigate the amount of classical information that can…
Position-Momentum Uncertainty Relations in the Presence of Quantum Memory
Fabian Furrer, Mario Berta, Marco Tomamichel +2
A prominent formulation of the uncertainty principle identifies the fundamental quantum feature that no particle may be prepared with certain outcomes for both position and momentu…
On quantum Renyi entropies: a new generalization and some properties
Martin Müller-Lennert, Frédéric Dupuis, Oleg Szehr +2
The Renyi entropies constitute a family of information measures that generalizes the well-known Shannon entropy, inheriting many of its properties. They appear in the form of uncon…
Second-Order Coding Rates for Channels with State
Marco Tomamichel, Vincent Y. F. Tan
We study the performance limits of state-dependent discrete memoryless channels with a discrete state available at both the encoder and the decoder. We establish the epsilon-capaci…