On 8/2/2019 4:59 PM, Jason Resch wrote:
On Fri, Aug 2, 2019 at 6:44 PM Bruce Kellett <[email protected]
<mailto:[email protected]>> wrote:
On Sat, Aug 3, 2019 at 9:36 AM Jason Resch <[email protected]
<mailto:[email protected]>> wrote:
On Fri, Aug 2, 2019 at 5:18 PM 'Brent Meeker' via Everything
List <[email protected]
<mailto:[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 wave function is real (if you prefer the ontic interpretation)...but
there's only one state described by it.
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?
It isn't sending out blue photons until they interact with the environment.
Brent
Jason
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