To properly explain this issue we have to recall what it means for a quantum computer or a probabilistic Turing machine to compute something: we say that such a device computes a function f if for every input x the probability of the device outputting f(x) is greater or equal to some arbitrary constant greater than 1/2\. Thus we can compute f in a classical machine, for there exists always the possibility of simulating every possible outcome of the randomness to deterministically compute the probability distribution of the output, and output as a result the possible outcome with greater probability\.
Huh… Not sure I understand this. I have BS in CS, but don't remember running across this. Would love to read more.
Comments
Jaime Sevilla Molina
I'll try to cover probabilistic Turing machines in other article once I have time. Thanks for your interest!