Dual unitary quantum gates are a subset of quantum gates that are not only unitary in time direction but also in space direction. Circuits of those gates can be used to describe the time evolution of a quantum system on a grid. An efficient analytical solution for computing correlation functions on such circuits exists, therefore they are good candidates for benchmarking quantum computers. Dual unitary circuits are further generalized to include circuits of mixed dual unitaries as well as higher dimensional multi-unitaries to extend the usefulness of the efficient analytical solution to a higher number of circuits. Indeed, a self-ternary four-qubit gate - i.e. a quantum gate unitary in three directions – is found. To check if a useful benchmarking scenario can be built from these circuits, an implementation comparing dual unitary quantum circuits against the analytical solution on a quantum computer simulator is analyzed and found to confirm the suitability of dual unitary circuits as a benchmark. To take the step from an idealized infinite grid to the simulator, periodic boundary conditions have to be added to the original grid. To reach the goal of using the benchmark on a quantum computer, some changes to the implementation are necessary in the step from simulator to quantum computer.