We present an overview of the quantitative theory of single-copy entanglement in finite-
dimensional quantum systems. In particular we emphasize the point of view that different …

The detection and certification of entanglement and quantum correlations in materials is of
fundamental and far‐reaching importance, and has seen significant recent progress. It …

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 …

Absolutely maximally entangled (AME) states are those multipartite quantum states that
carry absolute maximum entanglement in all possible bipartitions. AME states are known to …

We study the existence of absolutely maximally entangled (AME) states in quantum
mechanics and its applications to quantum information. AME states are characterized by …

Pure multiparticle quantum states are called absolutely maximally entangled if all reduced
states obtained by tracing out at least half of the particles are maximally mixed. We provide a …

A pure quantum state of N subsystems with d levels each is called k-multipartite maximally
entangled state, which we call ak-uniform state, if all its reductions to k qudits are maximally …

This chapter generalizes entanglement theory from two‐partite to multipartite systems and
reviews the developments of this theory. It then considers multiparticle entanglement of pure …

Entanglement is a resource in quantum information theory when state manipulation is
restricted to local operations assisted by classical communication (LOCC). It is therefore of …

We provide a systematic classification of multiparticle entanglement in terms of equivalence
classes of states under stochastic local operations and classical communication (SLOCC) …