Build the whole multi dimensional quantum wave function into the software or hardware infrastructure and then the input automatically creates all the probabilities and sits there waiting for collapse of the function or wave. In our reality that means observation.
The minimum input would be space time coordinates, velocity, multi-dimensional vector, and point of view angle. Probably a lot more actually to define the quantum wave accurately.
in our reality and in quantum wave probability the observation is the corresponding input that interacts with the quantum wave to collapse the wave into a 'real' event Think of is the energy of the observation (us) that changes the potential of the universe to create our world.
The wave pattern is just math you are right, so is the location in space and time, so is the velocity, and the vector of that velocity, and the angle of the point of view of all that. Yes you are right it is all math.