On Sat, Aug 3, 2019 at 9:59 AM Jason Resch <[email protected]> wrote:

> On Fri, Aug 2, 2019 at 6:44 PM Bruce Kellett <[email protected]>
> wrote:
>
>> On Sat, Aug 3, 2019 at 9:36 AM Jason Resch <[email protected]> wrote:
>>
>>> On Fri, Aug 2, 2019 at 5:18 PM 'Brent Meeker' via Everything List <
>>> [email protected]> wrote:
>>>
>>>> On 8/2/2019 1:41 PM, Jason Resch wrote:
>>>>
>>>> [Brent]One.  It's a unitary evolution of the input state.
>>>>>
>>>>
>>>> We were speaking of computational states.  Are you saying there is only
>>>> one computation state involved in Shor's algorithm?  What causes the
>>>> interference necessary to yield the correct answer, if not these numerous
>>>> computational states?
>>>>
>>>> The interference is in the measurement which Deutsch would say projects
>>>> out onto one of the multiple worlds...the non-unitary step.
>>>>
>>>
>>> Does anyone claim interference happens during the measurement?  In
>>> the double slit experiment the interference happens when the two photons
>>> overlap in their position, not when they strike the photographic plate.
>>> Deutsch says as much in his introduction to Fabric of Reality when speaking
>>> of shadow selves and shadow photons.
>>>
>>> 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.
>>>
>>
>> Brent is correct. There is only ever one state -- one vector in Hilbert
>> space. The computation involves nothing more than unitary rotations of this
>> vector in Hilbert space. The final result is obtained by projecting this
>> state on to some set of basis vectors. None of the intermediate projections
>> on to arbitrary basis vectors is "real" in any sense, since such basis
>> vectors are arbitrary.
>>
>
> A lot of computational work gets done for by something that isn't real in
> any sense.
>

The number of dimensions of the Hilbert space is real enough, even though
it is an abstract space.


> So, in  that sense, the final measurement does do the interference because
>> it involves a choice of a particular basis. Just as the spots on the screen
>> behind a double-slit experiment decide the interference -- they amount to a
>> choice of basis in position space -- position along the axis of the screen.
>>
>
> So the Morpho butterfly isn't sending out blue light until you look at it?
>

Non sequitur.

Bruce

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