I can't simplify this any more.
The wave function of two particles can interfere, and therefore, alter the statistical averages for finding that [[particle]] at any given point in spacetime. Because of this, we can state that two waves interfere so that the final state has a real effect in the world. The wave function itself is not a physical wave. It's very much ethereal, for it has no initial tangeable properties. That's why in the double slit experiment, a particle can travel through both slits simultaneously, because it is really niether here nor there, until the particle hit's the screen. We can even make the single particle interfere with its own statistical wave function, so that is why when both slits are open, we observe less point particles on the screen upon interaction, where the wave is reduced into a single real quantity. This is the collapse of the wave function.