For the core math and mechanics there's no real controversy, just fringe antics. While the core math is settled tho, some "controversy" stems from highly technical arguments about engineering feasibility and timeline. But not the science itself. So that might be where you're seeing mixed messages.
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Is what Amir Taaki says about it true? That the scale of resources gathering and production to make a workable quantum computer would take an unbelievable ammount of resources and we would see it coming well in advance?
Or is that just a 1960s electrical engineer postulating about making a computer with todays compute with the methods of 1960