Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics.
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …

Recent studies have developed fundamental limitations on nanoscale thermodynamics, in
terms of a set of independent free energy relations. Here we show that free energy relations …

The Rényi 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 …

This is a preliminary version of a book in progress on the theory of quantum communication.
We adopt an information-theoretic perspective throughout and give a comprehensive …

This book provides the reader with the mathematical framework required to fully explore the
potential of small quantum information processing devices. As decoherence will continue to …

Quantum resource theories (QRTs) offer a highly versatile and powerful framework for
studying different phenomena in quantum physics. From quantum entanglement to quantum …

I give a self-contained introduction to the resource theory approach to quantum
thermodynamics. I will introduce in an elementary manner the technical machinery …

We extend the definition of the conditional min-entropy from bipartite quantum states to
bipartite quantum channels. We show that many of the properties of the conditional min …

This paper studies the difficulty of discriminating between an arbitrary quantum channel and
a “replacer" channel that discards its input and replaces it with a fixed state. The results …