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 …

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 …

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 …

We introduce the notion of maximally multipartite entangled states of n qubits as a
generalization of the bipartite case. These pure states have a bipartite entanglement that …

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 …

We introduce several classes of quantum combinatorial designs, namely quantum Latin
squares, cubes, hypercubes, and a notion of orthogonality between them. A further …