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 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 negative solution to the famous problem of 36 officers of Euler implies that there are no
two orthogonal Latin squares of order six. We show that the problem has a solution …

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 consider one-dimensional quantum circuits of the brickwork type, where the fundamental
quantum gate is dual unitary. Such models are solvable: the dynamical correlation functions …

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 …