We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

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

All our former experience with application of quantum theory seems to say that what is
predicted by quantum formalism must occur in the laboratory. But the essence of quantum …

How can one prove that a given quantum state is entangled? In this paper we review
different methods that have been proposed for entanglement detection. We first explain the …

Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

We review concepts and methods associated with quantum discord and related topics. We
also describe their possible connections with other aspects of quantum information and …

Graph states are multiparticle entangled states that correspond to mathematical graphs,
where the vertices of the graph take the role of quantum spin systems and edges represent …

The degree to which a pure quantum state is entangled can be characterized by the
distance or angle to the nearest unentangled state. This geometric measure of …

We define a polynomial measure of multiparticle entanglement which is scalable, ie, which
applies to any number of spin-1/2 particles. By evaluating it for three particle states, for …

Although genuine multipartite entanglement has already been generated and verified by
experiments, most of the existing measures cannot detect genuine entanglement faithfully. In …