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 …

The metric d (A, B)= tr A+ tr B− 2 tr (A 1∕ 2 BA 1∕ 2) 1∕ 2 1∕ 2 on the manifold of n× n
positive definite matrices arises in various optimisation problems, in quantum information …

One of the most widely known building blocks of modern physics is Heisenberg's
indeterminacy principle. Among the different statements of this fundamental property of the …

The gauge/gravity correspondence discovered two decades ago has had a profound
influence on how the basic laws in physics should be formulated. In spite of the predictive …

The study of Gaussian states has arisen to a privileged position in continuous variable
quantum information in recent years. This is due to vehemently pursued experimental …

The seminal work by Sadi Carnot in the early nineteenth century provided the blueprint of a
reversible heat engine and the celebrated second law of thermodynamics eventually …

Recent results in quantum information theory characterize quantum coherence in the context
of resource theories. Here, we study the relation between quantum coherence and quantum …

Quantum metrology holds the promise of an early practical application of quantum
technologies, in which measurements of physical quantities can be made with much greater …

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 …

The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …