Non-classical correlations arising in quantum systems due to the phenomenon of entanglement play a crucial role in quantum information tasks. Unitary quantum evolution describing non-local interactions between subsystems of a closed quantum system results in entanglement between subsystems. In this work, we focus on a special class of bipartite unitary gates dubbed as “dual-unitary” which are maximally entangled and have wide range of applications in quantum information theory, and quantum many-body physics. We propose the most general known constructions of dual unitary operators. Maximally entangling dual-unitary operators called “2-unitary” operators are closely related to Absolutely Maximally Entangled (AME) states and perfect tensors. AME states are genuinely entangled multipartite quantum states which act as crucial ingredients for quantum teleportation, quantum secret sharing, and quantum error-correction. Recently, we positively settled an outstanding open problem regarding the existence of an AME state of four subsystems each having six levels whose construction using known techniques involving combinatorial objects was not possible. In quantum many-body physics, dual-unitary gates act as building blocks of solvable quantum chaotic models. We introduced a special class of dual unitary quantum circuit models called “Bernoulli circuits” built out of 2-unitary gates which lie at the apex of the quantum ergodic hierarchy.