If you are going to take a snapshot of anything if its not at a quantum level it's useless.
You're talking about a computer that can map the location of everything in the universe at the most basic level, if it wasn't the most basic level (neurons) it wouldn't work.
If you wish to make an apple pie from scratch?
I don't know what the planet earth thing is, of course if you can't locate the position of a single electron you won't be able to do it with trillions.
Your experiment wouldn't work if you ignored all the other things affecting it, and those other things occur at a quantum level.
Enough with the free association, the attempts at understanding quantum theory as opposed to this Newtonian determinism experiment that have helped a lot with electronics (ultra capacitors)
What would you do if pauli's exclusion principle seemingly randomly dropped a rock on your computer out of nowhere? if you don't know the positions of all the electrons it could happen to you, watch out!
41 minutes in, but watch the lot.
Edit : what about this
http://en.wikipedia.org/wiki/Quantum_indeterminacy
' Prior to quantum physics, it was thought that (a) a physical system had a determinate state which uniquely determined all the values of its measurable properties, and conversely (b) the values of its measurable properties uniquely determined the state. Albert Einstein may have been the first person to carefully point out the radical effect the new quantum physics would have on our notion of physical state.[1]'
'Indeterminacy in measurement was not an innovation of quantum mechanics, since it had been established early on by experimentalists that errors in measurement may lead to indeterminate outcomes. However, by the later half of the eighteenth century, measurement errors were well understood and it was known that they could either be reduced by better equipment or accounted for by statistical error models. In quantum mechanics, however, indeterminacy is of a much more fundamental nature, having nothing to do with errors or disturbance.'
I don't think any of this has much to do with free will, only that our modern understanding makes your experiment impossible.
Michio Kaku seems to think that this indeterminacy is free will