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 …

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 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 …

Quantum networks play an indispensable role in quantum information tasks such as secure
communications, enhanced quantum sensing, and distributed computing. Among the most …

While quantum circuits built from two-particle dual-unitary (maximally entangled) operators
serve as minimal models of typically nonintegrable many-body systems, the construction …

We consider dual unitary operators and their multi-leg generalizations that have appeared at
various places in the literature. These objects can be related to multi-party quantum states …

A pure quantum state of N subsystems, each with d levels, is said to be k-uniform if all of its
reductions to k qudits are maximally mixed. Only the uniform states obtained from orthogonal …

Quantum entanglement plays an important role in quantum information processes, such as
quantum computation and quantum communication. Experiments in laboratories are …

We examine the usefulness of applying neural networks as a variational state ansatz for
many-body quantum systems in the context of quantum information-processing tasks. In the …

We propose and analyze deterministic protocols to generate qudit photonic graph states
from quantum emitters. We show that our approach can be applied to generate any qudit …