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Investigating Properties of a Family of Quantum Renyi Divergences
Mingyan Simon Lin, Marco Tomamichel
Audenaert and Datta recently introduced a two-parameter family of relative Rényi entropies, known as the --relative Rényi entropies. The definition of the --relative Ré…
Correlation Detection and an Operational Interpretation of the Renyi Mutual Information
Masahito Hayashi, Marco Tomamichel
A variety of new measures of quantum Renyi mutual information and quantum Renyi conditional entropy have recently been proposed, and some of their mathematical properties explored.…
Strong converse rates for quantum communication
Marco Tomamichel, Mark M. Wilde, Andreas Winter
We revisit a fundamental open problem in quantum information theory, namely whether it is possible to transmit quantum information at a rate exceeding the channel capacity if we al…
On the Second-Order Asymptotics for Entanglement-Assisted Communication
Nilanjana Datta, Marco Tomamichel, Mark M. Wilde
The entanglement-assisted classical capacity of a quantum channel is known to provide the formal quantum generalization of Shannon's classical channel capacity theorem, in the sens…
Entropic uncertainty from effective anti-commutators
Jędrzej Kaniewski, Marco Tomamichel, Stephanie Wehner
We investigate entropic uncertainty relations for two or more binary measurements, for example spin- or polarisation measurements. We argue that the effective anti-com…
Fundamental Finite Key Limits for One-Way Information Reconciliation in Quantum Key Distribution
Marco Tomamichel, Jesus Martinez-Mateo, Christoph Pacher +1
The security of quantum key distribution protocols is guaranteed by the laws of quantum mechanics. However, a precise analysis of the security properties requires tools from both c…