Quantum mechanics entails clearly defined units and rules, so it isn’t really disordered. However, there is a sense of disorder that has to do with the complexity of quantum mechanics – and that’s actually really important for how we can apply it.
When physicists say “disorder,” we’re probably talking about uncertainty and entropy. The Heisenberg uncertainty relation is one of the first and most surprising things you learn in quantum mechanics.
Basically, you can’t know the position and momentum of a particle at the same time. In a classical world, we can know where something is and how fast it’s going – of course we can; we do that all the time – but that’s impossible to do exactly in quantum mechanics. Even if you know everything you can about a quantum particle, there are still unknowns. The disorder is built into the structure of the theory in the form of uncertainty.