To answer your discussion about randomizing the control groups and experimental groups- you don't use randomness or noise to divide those groups. You divide the population for study into the number of groups you need, and make that division such that those groups are as close to identical as possible, using all of the data you have on all of them.

Thermal noise and pseudo-random numbers can be used to break ties, but only because if there were any known distinction between the two outcomes, the classification would be deterministic.