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Comment by takeoutweight

This is a VERY common misconception, and is not a good intuition for how quantum computing is different than classical.

A better intuition, in my opinion, is computing with "un-flipped" coins, except with funny complex-valued probabilities of heads vs tails instead of real values between 0.0 and 1.0. Because the probabilities are complex-valued, they interact in ways that can seem a bit counter-intuitive, (it makes sense it is counter-intuitive, because how many quantities do we deal with day-to-day that are described with complex numbers?) These interactions can provide some algorithmic speed up on some nicely structured problems.

It's not always obvious what these problems are, and it doesn't relate to do whether the problem is highly-parallel. My intuition for "quantum-friendly" is if a problem involves some kind of periodicity, or Fourier-like frequency analysis, then perhaps you'll see a quantum speedup. But it's important to remember the coins don't somehow "try every flip possible" to find the answer you're looking for -- if they did that you'd be able to solve NP problems in constant time.

parent takeoutweight 13 years ago

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