[pseudohadamard]

You wrote that? Nice piece of work! Came here to post exactly this, that's the sigbovik paper in practice.

I'm still waiting for the Quantum Bogosort version of this "factorisation". For those not familiar with the algorithm, it relies on the many-worlds interpretation and is:

  Shuffle the list randomly
  If the list is sorted, stop
  If it isn’t sorted, destroy the entire universe

Adaptation of this algorithm to factorisation is left as a homework exercise for the student.

[cwillu]

Minor optimization: it is sufficient to merely destroy the user.