On 19 Mar 2013, at 16:52, Telmo Menezes wrote:
On Tue, Mar 19, 2013 at 2:06 AM, Russell Standish <li...@hpcoders.com.au
> wrote:
On Mon, Mar 18, 2013 at 07:39:44PM +0100, Bruno Marchal wrote:
Hi Roger,
On 18 Mar 2013, at 12:48, Roger Clough wrote:
Since mind is an MQS or Multiple Quantum Superposition, it can
process information at the rate of a quantum computer.
Since you seem to talk philosophy, let me translate what you say
for our friends the scientists.
If we assume that mind is a Multiple Quantum Superposition, and if
we assume that mind can exploit those quantum superpositions to
process information, then the mind can process information at the
rate of a quantum computer.
That implication seems to me quite reasonable.
Test of the theory according to which a human mind is a Multiple
Quantum Superposition:
1) show me a human as good as a quantum computer for finding a
needle in a haystack.
2) Factorize 11111311111911111111511111111111121212111111111
Demonstrating these sorts of exponential speedups only falsifies the
proposition that a human mind is an ordinary classical computer (but
not COMP). It does not confirm in any way that a human mind operates
as a quantum computer, since random oracles are another way of
bridging computational complexity classes.
We only need one idiot-savant to demonstrate this.
By contrast, being unable to demonstrate this scaling means - well
nothing
at all, actually.
I agree with Russell here.
More generally, I always disliked these evaluations of the
computational power of the human brain by the speed at which it can do
arithmetics. It's quite possible that the brain is a computational
beast, but the "software" it runs is specialised in other things:
image pattern recognition, parsing semantic trees and so on.
Arithmetics is a recent and unnatural activity for the brain, so it
might very well have to be performed on top of inadequate and
expensive pre-existing machinery.
But QC is not just a speed scaling of computation. It is a different
way to do some computation, some of which are just impossible to do in
"real time" by a classical computer. So here the speed is of
conceptual importance. If my brain is a QC I can do a Fourier
transform of the state of my infinitely many doppelgangers in some
superposition states of myself, and this gives ways to confirm the
quantum many-world in a less indirect way than by doing QM.
My point to Russell was that a random oracle is less powerful than a
quantum computer, even if the contrary is correct (a quantum computer
can simulate a random oracle, in principle).
My point to Roger was just that it is doubtful that the brain is a
quantum computer, for theoretical and experimental reason.
That would change nothing in UDA and AUDA. If the brain is a quantum
computer, it would only mean something on the lowness of the comp
substitution level, and a more complex back and forth between the
Turing emulable and the first person indeterminacy (Turing recoverable
from the indeterminacy on the whole UD*).
Bruno
--
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Prof Russell Standish Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics hpco...@hpcoders.com.au
University of New South Wales http://www.hpcoders.com.au
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