```X-Message-Number: 18467
From:  var s1 = "Azt28"; var s2 = "aol.com"; var s3 = s1 + "@" + s2; document.write("<a href='mailto:" + s3 + "'>" + s3 + "</a>");
Date: Sat, 2 Feb 2002 12:02:50 EST
Subject: Re: Simulation

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From: Philip Rhoades < var s1 = "pri"; var s2 = "chu.com.au"; var s3 = s1 + "@" + s2; document.write("<a href='mailto:" + s3 + "'>" + s3 + "</a>"); >:

>Does this still hold true if time/space has much more than four dimensions
(super >strings etc)?

Short answer: Yes. Recently, there has been a set of theories where many
dimensions are large, but outside gravitation, all known forces propagate
only in  3 space dimensions and one time. For a 10 billions light-year
extension, there is something as 10^61 Planck's units. So, in the most common
eleven dimensional universe there would be: 10^(61x11)  = 10^671 eleven
dimensional elementary hypercubes. In basic Super-Symetry, .all dimensions
beyond the first four are rolled-up at Planck's scale, so they don't add more
elementary cubes, on the other hand, each cube becomes very complex and needs
more informations to be described.

Henri Kluytmans < var s1 = "hkl"; var s2 = "chello.nl"; var s3 = s1 + "@" + s2; document.write("<a href='mailto:" + s3 + "'>" + s3 + "</a>"); > said:

>A quantum computer of 813 coupled qubits can only store a superposition ;of
all 2^813 >possible combinations of 813 normal bits. And it can perform
operations on all those >2^813 combinations in only one single operational
step.

Yes, I agree.

>But it can not store or operate on 10^244 (~= 2^813) bits! The possible
combinations of >that number of bits are 2^(10^244) !!!

Please note: We have a 2^813  states, each is a 813 bits word.
This define a four dimensional classical universe. There is no storage
implied. After one computing round, everything is destroyed if there is no
coupling to a more long lived quantum state.  In our world the simulation
lives only a spilt second. It is only in its own internal simulated time that
it live for then billions of years.

What you write about, 2^(10^244), would define a simulation where each
instant of each elementary domain would interact with each other. This is a
world with time travel and multi stories: You can attach a full classical
universe to each point at each instant, this is Everett's multi-world .

>Furthermore, does a Planck cube contain only 1 bit of information ?

Given the scale of  Planck's length, one bit per elementary unit seems
sufficient: a cell is full or empty.If you move from classical space to super
strings for example, then there is a lot of structures at or near Planck's
scale and you need  more bits of information. My purpose was to illustrate
the power of quantum computing on a basic universe simulation, not to explore
the limits of Everett's multi-universes or advanced string world.

>>This illustrates the potential power of quantum computers and the
>>effect of state superposition in quantum mechanics.

>Sorry, but this seems to be a huge misconception about the
>potential power of quantum computers.

It seems we don't see the same universe :-) or at least we  don't assume the
same basic components of the universe.

Yvan Bozzonetti.

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