Quantum cryptography is arguably the fastest growing area in quantum information science.
Novel theoretical protocols are designed on a regular basis, security proofs are constantly …

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

A bstract When absorbing boundary conditions are used to evaporate a black hole in
AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu …

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 …

The uncertainty principle, originally formulated by Heisenberg, clearly illustrates the
difference between classical and quantum mechanics. The principle bounds the …

Quantum classification and hypothesis testing (state and channel discrimination) are two
tightly related subjects, the main difference being that the former is data driven: how to …

Despite enormous theoretical and experimental progress in quantum cryptography, the
security of most current implementations of quantum key distribution is still not rigorously …

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 …

In this paper, we show that the conditional min-entropy H min (A| B) of a bipartite state rhoAB
is directly related to the maximum achievable overlap with a maximally entangled state if …

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 …