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 problem of identifying maximally entangled quantum states of a composite quantum
systems is analyzed. We review some states of multipartite systems distinguished with …

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 investigate the usefulness of a recently introduced five-qubit state by Brown et al.[IDK
Brown, S. Stepney, A. Sudbery, and SL Braunstein, J. Phys. A 38, 1119 (2005)] for quantum …

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 …

The application of semi‐quantum conception can provide unconditional secure
communication for communicators without quantum capabilities. A semi‐quantum key …

We identify five selected open problems in the theory of quantum information, which are
rather simple to formulate, are well studied in the literature, but are technically not easy. As …

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 …

A comparison is made of various searching procedures, based upon different entanglement
measures or entanglement indicators, for highly entangled multiqubits states. In particular …