[sokrates85]

x = rand() % 2 always gives a random number. You can't correlate them that way.

Needs to be a tunable random number and technically needs to be "true" as mentioned.

But I don't think that the authors would disagree with your larger point - their point is to provide polynomial speed-up over digital computers for a certain class of problems. That this can be done with classical computers isn't exactly a deep insight, it's rather obvious.