On Sat, Aug 3, 2019 at 10:52 AM Jason Resch <[email protected]> wrote:

> On Fri, Aug 2, 2019 at 7:33 PM 'Brent Meeker' via Everything List <
> [email protected]> wrote:
>
>> On 8/2/2019 5:12 PM, Jason Resch wrote:
>>
>> On Fri, Aug 2, 2019 at 6:51 PM 'Brent Meeker' via Everything List <
>> [email protected]> wrote:
>>
>>
>> Wherever it happens, it's one world.  Worlds are things things that are
>> orthogonal on to one another so that's why they're separate.  I don't know
>> what Deutsch believes.
>>
>> In any case, you have still managed to avoid the question of the reality
>>> of the 10^1000 intermediate computational states.  I won't press for an
>>> answer if you don't have one.
>>>
>>>
>>> I already gave the answer.  There is only one intermediate state.  It
>>> just happens to have lots of components in the basis you used to express it.
>>>
>>
>> And each of those components represents a trace of a computation
>> performed on one of the many possible values of the input qubits, do they
>> not?
>>
>>
>> That's one way of representing them.  Just as citing the Fourier
>> components of a firecracker going off shows the many components of the
>> sound.
>>
>
> That would be a convincing counterpoint, except here this "way of looking
> at the many components" performs a computation that would not otherwise be
> possible if all the atoms of the universe were mustered to perform the
> computation.
>

The fact is that it is possible. The 2^n dimensions of the Hilbert space
for n qbits is ample space for the computations. The trouble with looking
to parallel worlds to do the computations is that there are an uncountable
infinity of possible bases for the Hilbert space. What picks out just one
base to represent all these parallel worlds? That is the real problem. You
are ignoring the basis problem, just as Deutsch does. You naively assume
that the computational base that you used to set up you quantum computer in
the first instance is the only possible basis in which to view it. If you
take the view that the single ray in Hilbert space represents all that is
possible to know about the QC, and that computations are nothing more than
rotations of this state ray in the space, then all these silly notions of
parallel worlds evaporate.

Bruce

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