Evolution is not time reversible so it can't run on a quantum computer.
Quantum processes can also produce uncomputable sequences since they can
produce infinite random bits.

But that aside, let's say you have a simple quantum learner that can
predict any quantum computable sequence, which is any sequence that can be
produced on a Turing machine with a source of random bits (because a
quantum computer can be otherwise simulated classically). Then I can still
produce a simple sequence that you can't predict any better than random
guessing. I run a copy of your quantum predictor, which produced an output
from the same distribution, and return a different symbol. Either the
distribution is uniform and you are guessing, or it's not uniform and you
will do worse than guessing.


On Fri, Aug 9, 2019, 9:26 PM Ben Goertzel <[email protected]> wrote:

> What if my program was created by quantum evolutionary learning, and
> carries out its predictions while running in an uncollapsed quantum
> state, coupled with the classical system reading-out its predictions
> in a way that doesn't collapse its internal memory states...
>
> Then I can set it up so you can't measure what algorithm my program is
> running *without collapsing the state, which I could notice* -- and
> even if you emulated my process of quantum evolutionary learning, you
> couldn't tell what random program it had produced for me.
>
> So your approach doesn't work for quantum computers... but our
> physical universe is a quantum system...
>
> -- Ben
>
> On Sat, Aug 10, 2019 at 9:08 AM Matt Mahoney <[email protected]>
> wrote:
> >
> > Suppose you have a simple learner that can predict any computable
> sequence of symbols with some probability at least as good as random
> guessing. Then I can create a simple sequence that your predictor will get
> wrong 100% of the time. My program runs a copy of your program and outputs
> something different from your guess.
> >
> > All the empirical evidence supports this. Good compressors have a lot of
> code to handle lots of special cases.
> >
> > On Fri, Aug 9, 2019, 8:15 PM Ben Goertzel <[email protected]> wrote:
> >>
> >>
> >>
> >>>
> >>>
> >>> Legg proved there is no such thing as a simple, universal learner. So
> we can stop looking for one.
> >>
> >>
> >>
> >> To be clear, these algorithmic information theory results don't show
> there is no such thing as a simple learner that is universal in our
> physical universe...
> >>
> >> I'm not saying there necessarily is one, just pointing out that the
> math is not so practically applicable as your statement implies...
> > Artificial General Intelligence List / AGI / see discussions +
> participants + delivery options Permalink
> 
> --
> Ben Goertzel, PhD
> http://goertzel.org
> 
> “The only people for me are the mad ones, the ones who are mad to
> live, mad to talk, mad to be saved, desirous of everything at the same
> time, the ones who never yawn or say a commonplace thing, but burn,
> burn, burn like fabulous yellow roman candles exploding like spiders
> across the stars.” -- Jack Kerouac

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