We extend the concept of dual unitary quantum gates introduced in Phys. Rev. Lett. 123,
210601 (2019) PRLTAO 0031-9007 10.1103/PhysRevLett. 123.210601 to quantum lattice …

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 …

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 …

Ordering and classifying multipartite quantum states by their entanglement content remains
an open problem. One class of highly entangled states, useful in quantum information …

Absolutely maximally entangled (AME) states of $ k $ qudits (also known as perfect tensors)
are quantum states that have maximal entanglement for all possible bipartitions of the …

We analyze the set of real and complex Hadamard matrices with additional symmetry
constrains. In particular, we link the problem of existence of maximally entangled multipartite …

A family of two-unitary complex Hadamard matrices (CHMs) of size 36 stemming from a
particular matrix is constructed. Every matrix in this orbit remains unitary after operations of …

Perfect tensors are the tensors corresponding to the absolutely maximally entangled states,
a special type of quantum states of interest in quantum information theory. We establish a …

The classical combinatorial problem of 36 officers has no solution, as there are no Graeco-
Latin squares of order six. The situation changes if one works in a quantum setup and allows …

Rozwa£ my konstrukcję znaną co najmniej od XIII wieku [3], kwadrat şaciński. Jest to tablica
o wymiarze d na d, wypeşniona d elementami (np. literami alfabetu şacińskiego) w ten …