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

Applications of quantum technology often require fidelities to quantify performance. These
provide a fundamental yardstick for the comparison of two quantum states. While this is …

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 …

A state on a tripartite quantum system A ⊗ B ⊗ CA⊗ B⊗ C forms a Markov chain if it can be
reconstructed from its marginal on A ⊗ BA⊗ B by a quantum operation from B to B ⊗ CB⊗ C …

A fundamental approach for the characterization and quantification of all kinds of resources
is to study the conversion between different resource objects under certain constraints. Here …

This monograph presents a unified treatment of single-and multi-user problems in
Shannon's information theory where we depart from the requirement that the error …

In quantum metrology, one of the major applications of quantum technologies, the ultimate
precision of estimating an unknown parameter is often stated in terms of the Cram\'er-Rao …

Determining whether a given state can be transformed into a target state using free
operations is one of the fundamental questions in the study of resource theories. Free …

Quantum complexity is emerging as a key property of many-body systems, including black
holes, topological materials, and early quantum computers. A state's complexity quantifies …

We consider a two-parameter family of Rényi relative entropies D α, z (ρ∥ σ) that are
quantum generalisations of the classical Rényi divergence D α (p∥ q). This family includes …