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From: Stephen Paul King <stephenk1.domain.name.hidden>

Date: Mon, 30 Dec 2002 22:22:35 -0500

Dear Joao,

Interleaving.

----- Original Message -----

From: "Joao Leao" <jleao.domain.name.hidden>

To: "Ben Goertzel" <ben.domain.name.hidden>

Cc: "Hal Finney" <hal.domain.name.hidden>; <everything-list.domain.name.hidden.com>

Sent: Monday, December 30, 2002 2:11 PM

Subject: Re: Quantum Probability and Decision Theory

*> There go 7 cents out of my 60!...
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*>
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*> The case indeed is that if you build a quantum computer by emulating
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*> a Turing-Universal Machine you are a priori circunscribing its own
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*> class of algorithms. That is only natural if that is the largest class of
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*> computable problems you think are worthwhile considering. But it
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*> isn't necessarily the only one. This approach surfaces here and there
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*> in the literature. See for example:
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*>
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*> http://arXiv.org/abs/quant-ph/0205093
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*>
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[SPK]

Nice paper! I will be adding this one to my homework. Thank you! What we

need is a good general definition of what exactly is a QM computation that

we can all agree on.

*> Another point worth making is that it seems unlikely that the recourse
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*> to the infinite superposability of quantum states is going to be of any
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*> help in this circunstance. It may be more profitable to look to
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*> entanglement (which incidentaly is the trully novelty that QC brings
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*> to the realm of computation) as the road to a trans-Turing class of
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*> computations.
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*>
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[SPK]

Entanglement is somewhat involved. See this paper:

http://www.arxiv.org/abs/quant-ph/0201143

*> As to your reference to Penrose, Ben, I should probably add that
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*> his much maligned ideas concerning the possibility of using Quantum
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*> Gravity as a basis for understanding the psychology of mathematical
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*> invention are perhaps worth a second look now that we are learning a
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*> good deal more about quantum information in Black Holes etc...
*

[SPK]

I am a deep admirer of Penrose. It was his ideas that awoke me to QM

comp as a possible way of modeling the psyche.

Kindest regards,

Stephen

Received on Mon Dec 30 2002 - 22:23:41 PST

Date: Mon, 30 Dec 2002 22:22:35 -0500

Dear Joao,

Interleaving.

----- Original Message -----

From: "Joao Leao" <jleao.domain.name.hidden>

To: "Ben Goertzel" <ben.domain.name.hidden>

Cc: "Hal Finney" <hal.domain.name.hidden>; <everything-list.domain.name.hidden.com>

Sent: Monday, December 30, 2002 2:11 PM

Subject: Re: Quantum Probability and Decision Theory

[SPK]

Nice paper! I will be adding this one to my homework. Thank you! What we

need is a good general definition of what exactly is a QM computation that

we can all agree on.

[SPK]

Entanglement is somewhat involved. See this paper:

http://www.arxiv.org/abs/quant-ph/0201143

[SPK]

I am a deep admirer of Penrose. It was his ideas that awoke me to QM

comp as a possible way of modeling the psyche.

Kindest regards,

Stephen

Received on Mon Dec 30 2002 - 22:23:41 PST

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