[tsimionescu]

Why would a random generator be important for a neutral network?

Furthermore, not all sources of noise/randomness arise from quantum measurement (the only part of QM which can be interpreted to have randomness at all). Classical chaotic systems are also random if you were unable to measure the initial conditions to cosmic precision.

In fact, it's unclear at the moment how QM can actually give rise to randomness. In principle, in QM a perfectly isolated system of any complexity would behave entirely linearly with no randomness or even any chaos involved.