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Channel Simulation: Finite Blocklengths and Broadcast Channels
Michael X. Cao, Navneeth Ramakrishnan, Mario Berta +1
We study channel simulation under common randomness assistance in the finite-blocklength regime and identify the smooth channel max-information as a linear program one-shot convers…
New additivity properties of the relative entropy of entanglement and its generalizations
Roberto Rubboli, Marco Tomamichel
We prove that the relative entropy of entanglement is additive when \emph{at least one of the two states} belongs to some specific class. We show that these classes include biparti…
Sequential Quantum Channel Discrimination
Yonglong Li, Christoph Hirche, Marco Tomamichel
We consider the sequential quantum channel discrimination problem using adaptive and non-adaptive strategies. In this setting the number of uses of the underlying quantum channel i…
Comments on "Channel Coding Rate in the Finite Blocklength Regime": On the Quadratic Decaying Property of the Information Rate Function
Michael X. Cao, Marco Tomamichel
The quadratic decaying property of the information rate function states that given a fixed conditional distribution , the mutual information between the…
Chain rules for quantum channels
Mario Berta, Marco Tomamichel
Divergence chain rules for channels relate the divergence of a pair of channel inputs to the divergence of the corresponding channel outputs. An important special case of such a ru…
Learning quantum graph states with product measurements
Yingkai Ouyang, Marco Tomamichel
We consider the problem of learning identical copies of an unknown -qubit quantum graph state with product measurements. These graph states have corresponding graphs where e…