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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…
Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations
Mario Berta
In the first part of this thesis, we discuss the algebraic approach to classical and quantum physics and develop information theoretic concepts within this setup. In the second par…
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…
An equality between entanglement and uncertainty
Mario Berta, Patrick J. Coles, Stephanie Wehner
Heisenberg's uncertainty principle implies that if one party (Alice) prepares a system and randomly measures one of two incompatible observables, then another party (Bob) cannot pe…
Identifying the Information Gain of a Quantum Measurement
Mario Berta, Joseph M. Renes, Mark M. Wilde
We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simulated by an amount of classical communication equal to the quantum mutual informat…