On Mon, Dec 30, 2013 at 2:00 PM, meekerdb <meeke...@verizon.net> wrote:
> On 12/30/2013 3:09 AM, Bruno Marchal wrote:
> But that's essentially everything, since everything is (presumably)
> quantum. But notice the limitation of quantum computers, if it has N
> qubits it takes 2^N complex numbers to specify its state, BUT you can only
> retrieve N bits of information from it (c.f. Holevo's theorem). So it
> doesn't really act like 2^N parallel computers.
> OK, but nobody pretended the contrary. You can still extract N bits
> depending on the 2^N results, by doing some Fourier transfrom on all
> results obtained in "parallel universes". This means that the 2^N
> computations have to occur in *some* sense.
> But they pretend that the number 2^N is so large that it cannot exist in
> whole universe, much less in that little quantum computer and therefore
> there must be other worlds which contain these enormous number of bits.
> What Holevo's theorem shows is the one can regard all those interference
> terms as mere calculation fictions in going from N bit inputs to N bit
Can such "calculation fictions" support conciousness? That's the real
question. If they can, then you can't avoid many-worlds (or at least many
> It is conceptually no different than doing a calculation in ordinary
> probability theory: I start with some initial conditions and I introduce a
> probability distribution and compute a probability for some event. In that
> intermediate step I introduced a continuous probability distribution which
> implies an *infinite* number of bits. Nobody thinks this requires an
> infinite number of worlds.
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