Complex forms of quantum entanglement can arise in two qualitatively different ways: either
between many qubits or between two particles with higher-than-qubit dimension. While both …

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 …

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

Clarifying the relation between the whole and its parts is crucial for many problems in
science. In quantum mechanics, this question manifests itself in the quantum marginal …

We present new bounds on the existence of general quantum maximum distance separable
codes (QMDS): the length $ n $ of all QMDS codes with local dimension $ D $ and distance …

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 …

Many-body quantum systems can be characterized using the notions of k-separability and
entanglement depth. A quantum state is k-separable if it can be expressed as a mixture of k …

Dual unitary gates are highly non-local two-qudit unitary gates that have been studied
extensively in quantum many-body physics and quantum information in the recent past. A …

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 …

Pure multipartite quantum states of n parties and local dimension q are called k-uniform if all
reductions to k parties are maximally mixed. These states are relevant for our understanding …